TSTP Solution File: SWW190+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 : Fri Sep 1 00:13:02 EDT 2023
% Result : Theorem 172.05s 172.07s
% Output : CNFRefutation 172.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 19:39:05 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.52/0.58 start to proof:theBenchmark
% 171.95/172.00 %-------------------------------------------
% 171.95/172.00 % File :CSE---1.6
% 171.95/172.00 % Problem :theBenchmark
% 171.95/172.00 % Transform :cnf
% 171.95/172.00 % Format :tptp:raw
% 171.95/172.00 % Command :java -jar mcs_scs.jar %d %s
% 171.95/172.00
% 171.95/172.00 % Result :Theorem 170.760000s
% 171.95/172.00 % Output :CNFRefutation 170.760000s
% 171.95/172.00 %-------------------------------------------
% 171.99/172.01 %------------------------------------------------------------------------------
% 171.99/172.01 % File : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% 171.99/172.01 % Domain : Software Verification
% 171.99/172.01 % Problem : Fundamental Theorem of Algebra 436218, 1000 axioms selected
% 171.99/172.01 % Version : Especial.
% 171.99/172.01 % English :
% 171.99/172.01
% 171.99/172.01 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 171.99/172.01 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 171.99/172.01 % Source : [Bla11]
% 171.99/172.01 % Names : fta_436218.1000.p [Bla11]
% 171.99/172.01
% 171.99/172.01 % Status : Theorem
% 171.99/172.01 % Rating : 0.61 v8.1.0, 0.64 v7.5.0, 0.78 v7.4.0, 0.73 v7.3.0, 0.76 v7.1.0, 0.74 v7.0.0, 0.77 v6.4.0, 0.73 v6.3.0, 0.75 v6.2.0, 0.84 v6.1.0, 0.87 v5.5.0, 0.89 v5.3.0, 0.93 v5.2.0
% 171.99/172.01 % Syntax : Number of formulae : 1189 ( 373 unt; 0 def)
% 171.99/172.01 % Number of atoms : 2786 ( 625 equ)
% 171.99/172.01 % Maximal formula atoms : 8 ( 2 avg)
% 171.99/172.01 % Number of connectives : 1757 ( 160 ~; 48 |; 86 &)
% 171.99/172.01 % ( 202 <=>;1261 =>; 0 <=; 0 <~>)
% 171.99/172.01 % Maximal formula depth : 14 ( 5 avg)
% 171.99/172.01 % Maximal term depth : 7 ( 2 avg)
% 171.99/172.01 % Number of predicates : 79 ( 78 usr; 0 prp; 1-6 aty)
% 171.99/172.01 % Number of functors : 43 ( 43 usr; 7 con; 0-4 aty)
% 171.99/172.01 % Number of variables : 3055 (3025 !; 30 ?)
% 171.99/172.01 % SPC : FOF_THM_RFO_SEQ
% 171.99/172.01
% 171.99/172.01 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 171.99/172.01 % 2011-03-01 11:20:57
% 171.99/172.01 %------------------------------------------------------------------------------
% 171.99/172.01 %----Relevant facts (992)
% 171.99/172.01 fof(fact_ext,axiom,
% 171.99/172.01 ! [V_g_2,V_f_2] :
% 171.99/172.01 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 171.99/172.01 => V_f_2 = V_g_2 ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_x,axiom,
% 171.99/172.01 hBOOL(hAPP(v_P,v_x____)) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_ex,axiom,
% 171.99/172.01 ? [B_x1] : hBOOL(hAPP(v_P,B_x1)) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_bz,axiom,
% 171.99/172.01 ? [B_z] :
% 171.99/172.01 ! [B_x] :
% 171.99/172.01 ( hBOOL(hAPP(v_P,B_x))
% 171.99/172.01 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,B_z) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_top1I,axiom,
% 171.99/172.01 ! [V_xa_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_xa_2)) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_top__apply,axiom,
% 171.99/172.01 ! [V_xa_2,T_b,T_a] :
% 171.99/172.01 ( class_Orderings_Otop(T_a)
% 171.99/172.01 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_xa_2) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_Y,axiom,
% 171.99/172.01 ! [V_x] :
% 171.99/172.01 ( hBOOL(hAPP(v_P,V_x))
% 171.99/172.01 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,v_Y____) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_ubs__def,axiom,
% 171.99/172.01 ! [V_S_2,V_R_2,T_a] :
% 171.99/172.01 ( class_Orderings_Oord(T_a)
% 171.99/172.01 => c_Lubs_Oubs(T_a,V_R_2,V_S_2) = c_Set_OCollect(T_a,c_Lubs_OisUb(T_a,V_R_2,V_S_2)) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_Collect__def,axiom,
% 171.99/172.01 ! [V_Pa_2,T_a] : c_Set_OCollect(T_a,V_Pa_2) = V_Pa_2 ).
% 171.99/172.01
% 171.99/172.01 fof(fact_thx,axiom,
% 171.99/172.01 ? [B_x] : c_member(tc_RealDef_Oreal,B_x,c_Set_OCollect(tc_RealDef_Oreal,v_P)) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_Sup__UNIV,axiom,
% 171.99/172.01 ! [T_a] :
% 171.99/172.01 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 171.99/172.01 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_isLubI2,axiom,
% 171.99/172.01 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.01 ( class_Orderings_Oord(T_a)
% 171.99/172.01 => ( hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2))
% 171.99/172.01 => ( c_Lubs_Osetge(T_a,V_xa_2,c_Set_OCollect(T_a,c_Lubs_OisUb(T_a,V_R_2,V_S_2)))
% 171.99/172.01 => c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2) ) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_isUbD2,axiom,
% 171.99/172.01 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.01 ( class_Orderings_Oord(T_a)
% 171.99/172.01 => ( hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2))
% 171.99/172.01 => c_Lubs_Osetle(T_a,V_S_2,V_xa_2) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_isLub__isUb,axiom,
% 171.99/172.01 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.01 ( class_Orderings_Oord(T_a)
% 171.99/172.01 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.01 => hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2)) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_within__UNIV,axiom,
% 171.99/172.01 ! [V_net_2,T_a] : c_Limits_Owithin(T_a,V_net_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_net_2 ).
% 171.99/172.01
% 171.99/172.01 fof(fact_UnionI,axiom,
% 171.99/172.01 ! [V_A_2,V_C_2,V_X_2,T_a] :
% 171.99/172.01 ( c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,V_C_2)
% 171.99/172.01 => ( c_member(T_a,V_A_2,V_X_2)
% 171.99/172.01 => c_member(T_a,V_A_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_equalityCE,axiom,
% 171.99/172.01 ! [V_c_2,T_a,V_B_2,V_A_2] :
% 171.99/172.01 ( V_A_2 = V_B_2
% 171.99/172.01 => ( ( c_member(T_a,V_c_2,V_A_2)
% 171.99/172.01 => ~ c_member(T_a,V_c_2,V_B_2) )
% 171.99/172.01 => ~ ( ~ c_member(T_a,V_c_2,V_A_2)
% 171.99/172.01 => c_member(T_a,V_c_2,V_B_2) ) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_UNIV__I,axiom,
% 171.99/172.01 ! [V_xa_2,T_a] : c_member(T_a,V_xa_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_order__less__irrefl,axiom,
% 171.99/172.01 ! [V_x,T_a] :
% 171.99/172.01 ( class_Orderings_Opreorder(T_a)
% 171.99/172.01 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_linorder__neq__iff,axiom,
% 171.99/172.01 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.01 ( class_Orderings_Olinorder(T_a)
% 171.99/172.01 => ( V_xa_2 != V_y_2
% 171.99/172.01 <=> ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.01 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2) ) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_not__less__iff__gr__or__eq,axiom,
% 171.99/172.01 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.01 ( class_Orderings_Olinorder(T_a)
% 171.99/172.01 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.01 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2)
% 171.99/172.01 | V_xa_2 = V_y_2 ) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_mem__def,axiom,
% 171.99/172.01 ! [V_A_2,V_xa_2,T_a] :
% 171.99/172.01 ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.01 <=> hBOOL(hAPP(V_A_2,V_xa_2)) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_linorder__less__linear,axiom,
% 171.99/172.01 ! [V_y,V_x,T_a] :
% 171.99/172.01 ( class_Orderings_Olinorder(T_a)
% 171.99/172.01 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.01 | V_x = V_y
% 171.99/172.01 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_eq__mem,axiom,
% 171.99/172.01 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.01 ( c_member(T_a,V_xa_2,c_fequal(V_y_2))
% 171.99/172.01 <=> V_xa_2 = V_y_2 ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_less__Sup__iff,axiom,
% 171.99/172.01 ! [V_S_2,V_a_2,T_a] :
% 171.99/172.01 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 171.99/172.01 & class_Orderings_Olinorder(T_a) )
% 171.99/172.01 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Complete__Lattice_OSup__class_OSup(T_a,V_S_2))
% 171.99/172.01 <=> ? [B_x] :
% 171.99/172.01 ( c_member(T_a,B_x,V_S_2)
% 171.99/172.01 & c_Orderings_Oord__class_Oless(T_a,V_a_2,B_x) ) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_linorder__antisym__conv3,axiom,
% 171.99/172.01 ! [V_xa_2,V_y_2,T_a] :
% 171.99/172.01 ( class_Orderings_Olinorder(T_a)
% 171.99/172.01 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2)
% 171.99/172.01 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.01 <=> V_xa_2 = V_y_2 ) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_linorder__neqE,axiom,
% 171.99/172.01 ! [V_y,V_x,T_a] :
% 171.99/172.01 ( class_Orderings_Olinorder(T_a)
% 171.99/172.01 => ( V_x != V_y
% 171.99/172.01 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.01 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_less__imp__neq,axiom,
% 171.99/172.01 ! [V_y,V_x,T_a] :
% 171.99/172.01 ( class_Orderings_Oorder(T_a)
% 171.99/172.01 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.01 => V_x != V_y ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_order__less__not__sym,axiom,
% 171.99/172.01 ! [V_y,V_x,T_a] :
% 171.99/172.01 ( class_Orderings_Opreorder(T_a)
% 171.99/172.01 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.01 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 171.99/172.01
% 171.99/172.01 fof(fact_order__less__imp__not__less,axiom,
% 171.99/172.01 ! [V_y,V_x,T_a] :
% 171.99/172.01 ( class_Orderings_Opreorder(T_a)
% 171.99/172.01 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__less__imp__not__eq,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.02 => V_x != V_y ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__less__imp__not__eq2,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.02 => V_y != V_x ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_eqset__imp__iff,axiom,
% 171.99/172.02 ! [V_xa_2,T_a,V_B_2,V_A_2] :
% 171.99/172.02 ( V_A_2 = V_B_2
% 171.99/172.02 => ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.02 <=> c_member(T_a,V_xa_2,V_B_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_eqelem__imp__iff,axiom,
% 171.99/172.02 ! [V_A_2,T_a,V_y_2,V_xa_2] :
% 171.99/172.02 ( V_xa_2 = V_y_2
% 171.99/172.02 => ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.02 <=> c_member(T_a,V_y_2,V_A_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__less__asym_H,axiom,
% 171.99/172.02 ! [V_b,V_a,T_a] :
% 171.99/172.02 ( class_Orderings_Opreorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 171.99/172.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_xt1_I9_J,axiom,
% 171.99/172.02 ! [V_a,V_b,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 171.99/172.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_eq__mem__trans,axiom,
% 171.99/172.02 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 171.99/172.02 ( V_a_2 = V_b_2
% 171.99/172.02 => ( c_member(T_a,V_b_2,V_A_2)
% 171.99/172.02 => c_member(T_a,V_a_2,V_A_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_ord__eq__less__trans,axiom,
% 171.99/172.02 ! [V_c,V_b,V_a,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( V_a = V_b
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_xt1_I1_J,axiom,
% 171.99/172.02 ! [V_c,V_b,V_a,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( V_a = V_b
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_ord__less__eq__trans,axiom,
% 171.99/172.02 ! [V_c,V_b,V_a,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 171.99/172.02 => ( V_b = V_c
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_xt1_I2_J,axiom,
% 171.99/172.02 ! [V_c,V_a,V_b,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 171.99/172.02 => ( V_b = V_c
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__less__trans,axiom,
% 171.99/172.02 ! [V_z,V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Opreorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_xt1_I10_J,axiom,
% 171.99/172.02 ! [V_z,V_x,V_y,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__less__asym,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Opreorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isLubD1,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.02 => c_Lubs_Osetle(T_a,V_S_2,V_xa_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isLubD1a,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.02 => c_member(T_a,V_xa_2,V_R_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isLub__ubs,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.02 => c_Lubs_Osetge(T_a,V_xa_2,c_Lubs_Oubs(T_a,V_R_2,V_S_2)) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_linorder__cases,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Olinorder(T_a)
% 171.99/172.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.02 => ( V_x != V_y
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isUbI,axiom,
% 171.99/172.02 ! [V_R_2,V_xa_2,V_S_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_Osetle(T_a,V_S_2,V_xa_2)
% 171.99/172.02 => ( c_member(T_a,V_xa_2,V_R_2)
% 171.99/172.02 => hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2)) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isUb__def,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2))
% 171.99/172.02 <=> ( c_Lubs_Osetle(T_a,V_S_2,V_xa_2)
% 171.99/172.02 & c_member(T_a,V_xa_2,V_R_2) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_Union__UNIV,axiom,
% 171.99/172.02 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isUbD2a,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2))
% 171.99/172.02 => c_member(T_a,V_xa_2,V_R_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_iso__tuple__UNIV__I,axiom,
% 171.99/172.02 ! [V_xa_2,T_a] : c_member(T_a,V_xa_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isLubD3,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.02 => c_Lubs_OleastP(T_a,c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isLubI1,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OleastP(T_a,c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2)
% 171.99/172.02 => c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isLub__def,axiom,
% 171.99/172.02 ! [V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.02 <=> c_Lubs_OleastP(T_a,c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_leastPD2,axiom,
% 171.99/172.02 ! [V_xa_2,V_Pa_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OleastP(T_a,V_Pa_2,V_xa_2)
% 171.99/172.02 => c_Lubs_Osetge(T_a,V_xa_2,c_Set_OCollect(T_a,V_Pa_2)) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_leastP__def,axiom,
% 171.99/172.02 ! [V_xa_2,V_Pa_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OleastP(T_a,V_Pa_2,V_xa_2)
% 171.99/172.02 <=> ( hBOOL(hAPP(V_Pa_2,V_xa_2))
% 171.99/172.02 & c_Lubs_Osetge(T_a,V_xa_2,c_Set_OCollect(T_a,V_Pa_2)) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_reals__complete,axiom,
% 171.99/172.02 ! [V_S_2] :
% 171.99/172.02 ( ? [B_X] : c_member(tc_RealDef_Oreal,B_X,V_S_2)
% 171.99/172.02 => ( ? [B_x1] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),V_S_2),B_x1))
% 171.99/172.02 => ? [B_x1] : c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),V_S_2,B_x1) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_lemma__reals__complete,axiom,
% 171.99/172.02 ! [V_S_2] :
% 171.99/172.02 ( ( ? [B_x] : c_member(tc_RealDef_Oreal,B_x,V_S_2)
% 171.99/172.02 & ? [B_x1] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),V_S_2),B_x1)) )
% 171.99/172.02 => ? [B_x1] : c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),V_S_2,B_x1) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_linorder__neqE__linordered__idom,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Rings_Olinordered__idom(T_a)
% 171.99/172.02 => ( V_x != V_y
% 171.99/172.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.02 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact__096_B_Bthesis_O_A_I_B_Bx_AY_O_A_091_124_AP_Ax_059_A_B_Bx_O_AP_Ax_A_061_061_062_Ax_A_060_AY_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
% 171.99/172.02 ~ ( ? [B_x1] : hBOOL(hAPP(v_P,B_x1))
% 171.99/172.02 => ! [B_Y] :
% 171.99/172.02 ~ ! [B_x] :
% 171.99/172.02 ( hBOOL(hAPP(v_P,B_x))
% 171.99/172.02 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,B_Y) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_isLub__le__isUb,axiom,
% 171.99/172.02 ! [V_y_2,V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.02 => ( hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_y_2))
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_UNIV__witness,axiom,
% 171.99/172.02 ! [T_a] :
% 171.99/172.02 ? [B_x] : c_member(T_a,B_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__refl,axiom,
% 171.99/172.02 ! [V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Opreorder(T_a)
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_subsetD,axiom,
% 171.99/172.02 ! [V_c_2,V_B_2,V_A_2,T_a] :
% 171.99/172.02 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.02 => ( c_member(T_a,V_c_2,V_A_2)
% 171.99/172.02 => c_member(T_a,V_c_2,V_B_2) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_le__fun__def,axiom,
% 171.99/172.02 ! [V_g_2,V_f_2,T_a,T_b] :
% 171.99/172.02 ( class_Orderings_Oord(T_b)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 171.99/172.02 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_linorder__linear,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Olinorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.02 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__eq__iff,axiom,
% 171.99/172.02 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( V_xa_2 = V_y_2
% 171.99/172.02 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.02 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__eq__refl,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Opreorder(T_a)
% 171.99/172.02 => ( V_x = V_y
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_Union__upper,axiom,
% 171.99/172.02 ! [V_A_2,V_B_2,T_a] :
% 171.99/172.02 ( c_member(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_Union__mono,axiom,
% 171.99/172.02 ! [V_B_2,V_A_2,T_a] :
% 171.99/172.02 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_le__funD,axiom,
% 171.99/172.02 ! [V_xa_2,V_g_2,V_f_2,T_a,T_b] :
% 171.99/172.02 ( class_Orderings_Oord(T_b)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2)) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__antisym__conv,axiom,
% 171.99/172.02 ! [V_xa_2,V_y_2,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.02 <=> V_xa_2 = V_y_2 ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_ord__eq__le__trans,axiom,
% 171.99/172.02 ! [V_c,V_b,V_a,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( V_a = V_b
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_xt1_I3_J,axiom,
% 171.99/172.02 ! [V_c,V_b,V_a,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( V_a = V_b
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_ord__le__eq__trans,axiom,
% 171.99/172.02 ! [V_c,V_b,V_a,T_a] :
% 171.99/172.02 ( class_Orderings_Oord(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 171.99/172.02 => ( V_b = V_c
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_xt1_I4_J,axiom,
% 171.99/172.02 ! [V_c,V_a,V_b,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 171.99/172.02 => ( V_b = V_c
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__antisym,axiom,
% 171.99/172.02 ! [V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 171.99/172.02 => V_x = V_y ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_order__trans,axiom,
% 171.99/172.02 ! [V_z,V_y,V_x,T_a] :
% 171.99/172.02 ( class_Orderings_Opreorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 171.99/172.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 171.99/172.02
% 171.99/172.02 fof(fact_xt1_I5_J,axiom,
% 171.99/172.02 ! [V_x,V_y,T_a] :
% 171.99/172.02 ( class_Orderings_Oorder(T_a)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 171.99/172.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.02 => V_x = V_y ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_xt1_I6_J,axiom,
% 171.99/172.03 ! [V_z,V_x,V_y,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_le__funE,axiom,
% 171.99/172.03 ! [V_xa_2,V_g_2,V_f_2,T_a,T_b] :
% 171.99/172.03 ( class_Orderings_Oord(T_b)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2)) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_real__isLub__unique,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,V_S_2,V_R_2] :
% 171.99/172.03 ( c_Lubs_OisLub(tc_RealDef_Oreal,V_R_2,V_S_2,V_xa_2)
% 171.99/172.03 => ( c_Lubs_OisLub(tc_RealDef_Oreal,V_R_2,V_S_2,V_y_2)
% 171.99/172.03 => V_xa_2 = V_y_2 ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_linorder__le__cases,axiom,
% 171.99/172.03 ! [V_y,V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_leastPD1,axiom,
% 171.99/172.03 ! [V_xa_2,V_Pa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( c_Lubs_OleastP(T_a,V_Pa_2,V_xa_2)
% 171.99/172.03 => hBOOL(hAPP(V_Pa_2,V_xa_2)) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_psubsetD,axiom,
% 171.99/172.03 ! [V_c_2,V_B_2,V_A_2,T_a] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 => ( c_member(T_a,V_c_2,V_A_2)
% 171.99/172.03 => c_member(T_a,V_c_2,V_B_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_xt1_I8_J,axiom,
% 171.99/172.03 ! [V_z,V_x,V_y,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__le__less__trans,axiom,
% 171.99/172.03 ! [V_z,V_y,V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Opreorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_xt1_I7_J,axiom,
% 171.99/172.03 ! [V_z,V_x,V_y,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__less__le__trans,axiom,
% 171.99/172.03 ! [V_z,V_y,V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Opreorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_xt1_I11_J,axiom,
% 171.99/172.03 ! [V_a,V_b,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 171.99/172.03 => ( V_a != V_b
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__le__neq__trans,axiom,
% 171.99/172.03 ! [V_b,V_a,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 171.99/172.03 => ( V_a != V_b
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__le__imp__less__or__eq,axiom,
% 171.99/172.03 ! [V_y,V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.03 | V_x = V_y ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_linorder__antisym__conv2,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.03 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.03 <=> V_xa_2 = V_y_2 ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__less__imp__le,axiom,
% 171.99/172.03 ! [V_y,V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Opreorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_leD,axiom,
% 171.99/172.03 ! [V_x,V_y,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 171.99/172.03 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_xt1_I12_J,axiom,
% 171.99/172.03 ! [V_b,V_a,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( V_a != V_b
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__neq__le__trans,axiom,
% 171.99/172.03 ! [V_b,V_a,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( V_a != V_b
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_linorder__antisym__conv1,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.03 <=> V_xa_2 = V_y_2 ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_not__leE,axiom,
% 171.99/172.03 ! [V_x,V_y,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 171.99/172.03 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_leI,axiom,
% 171.99/172.03 ! [V_y,V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__le__less,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.03 <=> ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.03 | V_xa_2 = V_y_2 ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_less__le__not__le,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Opreorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.03 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.03 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_order__less__le,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.03 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.03 & V_xa_2 != V_y_2 ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_linorder__le__less__linear,axiom,
% 171.99/172.03 ! [V_y,V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 171.99/172.03 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_linorder__not__le,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 171.99/172.03 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_linorder__not__less,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Olinorder(T_a)
% 171.99/172.03 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 171.99/172.03 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_set__mp,axiom,
% 171.99/172.03 ! [V_xa_2,V_B_2,V_A_2,T_a] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 => ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.03 => c_member(T_a,V_xa_2,V_B_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_set__rev__mp,axiom,
% 171.99/172.03 ! [V_B_2,V_A_2,V_xa_2,T_a] :
% 171.99/172.03 ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 => c_member(T_a,V_xa_2,V_B_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_in__mono,axiom,
% 171.99/172.03 ! [V_xa_2,V_B_2,V_A_2,T_a] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 => ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.03 => c_member(T_a,V_xa_2,V_B_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_top__greatest,axiom,
% 171.99/172.03 ! [V_x,T_a] :
% 171.99/172.03 ( class_Orderings_Otop(T_a)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Orderings_Otop__class_Otop(T_a)) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_subset__UNIV,axiom,
% 171.99/172.03 ! [V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_Sup__le__iff,axiom,
% 171.99/172.03 ! [V_b_2,V_A_2,T_a] :
% 171.99/172.03 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2),V_b_2)
% 171.99/172.03 <=> ! [B_x] :
% 171.99/172.03 ( c_member(T_a,B_x,V_A_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,B_x,V_b_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_leastPD3,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,V_Pa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( c_Lubs_OleastP(T_a,V_Pa_2,V_xa_2)
% 171.99/172.03 => ( c_member(T_a,V_y_2,c_Set_OCollect(T_a,V_Pa_2))
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_setle__def,axiom,
% 171.99/172.03 ! [V_xa_2,V_S_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( c_Lubs_Osetle(T_a,V_S_2,V_xa_2)
% 171.99/172.03 <=> ! [B_x] :
% 171.99/172.03 ( c_member(T_a,B_x,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,B_x,V_xa_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_setge__def,axiom,
% 171.99/172.03 ! [V_S_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( c_Lubs_Osetge(T_a,V_xa_2,V_S_2)
% 171.99/172.03 <=> ! [B_x] :
% 171.99/172.03 ( c_member(T_a,B_x,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,B_x) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_Sup__upper,axiom,
% 171.99/172.03 ! [V_A_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 171.99/172.03 => ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_isLubD2,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( c_Lubs_OisLub(T_a,V_R_2,V_S_2,V_xa_2)
% 171.99/172.03 => ( c_member(T_a,V_y_2,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_isUbD,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,V_S_2,V_R_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( hBOOL(hAPP(c_Lubs_OisUb(T_a,V_R_2,V_S_2),V_xa_2))
% 171.99/172.03 => ( c_member(T_a,V_y_2,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_setleD,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2,V_S_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( c_Lubs_Osetle(T_a,V_S_2,V_xa_2)
% 171.99/172.03 => ( c_member(T_a,V_y_2,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_setgeD,axiom,
% 171.99/172.03 ! [V_y_2,V_S_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( c_Lubs_Osetge(T_a,V_xa_2,V_S_2)
% 171.99/172.03 => ( c_member(T_a,V_y_2,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2) ) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_UnionE,axiom,
% 171.99/172.03 ! [V_C_2,V_A_2,T_a] :
% 171.99/172.03 ( c_member(T_a,V_A_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))
% 171.99/172.03 => ~ ! [B_X] :
% 171.99/172.03 ( c_member(T_a,V_A_2,B_X)
% 171.99/172.03 => ~ c_member(tc_fun(T_a,tc_HOL_Obool),B_X,V_C_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_Sup__least,axiom,
% 171.99/172.03 ! [V_z_2,V_A_2,T_a] :
% 171.99/172.03 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 171.99/172.03 => ( ! [B_x] :
% 171.99/172.03 ( c_member(T_a,B_x,V_A_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,B_x,V_z_2) )
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2),V_z_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_isUb__UNIV__I,axiom,
% 171.99/172.03 ! [V_u_2,V_S_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( ! [B_y] :
% 171.99/172.03 ( c_member(T_a,B_y,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,B_y,V_u_2) )
% 171.99/172.03 => hBOOL(hAPP(c_Lubs_OisUb(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_u_2)) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_less__eq__real__def,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)
% 171.99/172.03 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)
% 171.99/172.03 | V_xa_2 = V_y_2 ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_real__less__def,axiom,
% 171.99/172.03 ! [V_y_2,V_xa_2] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)
% 171.99/172.03 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)
% 171.99/172.03 & V_xa_2 != V_y_2 ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_Pow__UNIV,axiom,
% 171.99/172.03 ! [T_a] : c_Set_OPow(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_setleI,axiom,
% 171.99/172.03 ! [V_xa_2,V_S_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( ! [B_x] :
% 171.99/172.03 ( c_member(T_a,B_x,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,B_x,V_xa_2) )
% 171.99/172.03 => c_Lubs_Osetle(T_a,V_S_2,V_xa_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_setgeI,axiom,
% 171.99/172.03 ! [V_xa_2,V_S_2,T_a] :
% 171.99/172.03 ( class_Orderings_Oord(T_a)
% 171.99/172.03 => ( ! [B_x] :
% 171.99/172.03 ( c_member(T_a,B_x,V_S_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,B_x) )
% 171.99/172.03 => c_Lubs_Osetge(T_a,V_xa_2,V_S_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_Inf__lower,axiom,
% 171.99/172.03 ! [V_A_2,V_xa_2,T_a] :
% 171.99/172.03 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 171.99/172.03 => ( c_member(T_a,V_xa_2,V_A_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2),V_xa_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_Union__least,axiom,
% 171.99/172.03 ! [V_C_2,V_A_2,T_a] :
% 171.99/172.03 ( ! [B_X] :
% 171.99/172.03 ( c_member(tc_fun(T_a,tc_HOL_Obool),B_X,V_A_2)
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),B_X,V_C_2) )
% 171.99/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_equalityI,axiom,
% 171.99/172.03 ! [V_B_2,V_A_2,T_a] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 171.99/172.03 => V_A_2 = V_B_2 ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_InterD,axiom,
% 171.99/172.03 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 171.99/172.03 ( c_member(T_a,V_A_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))
% 171.99/172.03 => ( c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,V_C_2)
% 171.99/172.03 => c_member(T_a,V_A_2,V_X_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_InterE,axiom,
% 171.99/172.03 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 171.99/172.03 ( c_member(T_a,V_A_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))
% 171.99/172.03 => ( c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,V_C_2)
% 171.99/172.03 => c_member(T_a,V_A_2,V_X_2) ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_PowI,axiom,
% 171.99/172.03 ! [V_B_2,V_A_2,T_a] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 => c_member(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_OPow(T_a,V_B_2)) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_subset__refl,axiom,
% 171.99/172.03 ! [V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_psubset__eq,axiom,
% 171.99/172.03 ! [V_B_2,V_A_2,T_a] :
% 171.99/172.03 ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 171.99/172.03 & V_A_2 != V_B_2 ) ) ).
% 171.99/172.03
% 171.99/172.03 fof(fact_less__fun__def,axiom,
% 171.99/172.03 ! [V_g_2,V_f_2,T_a,T_b] :
% 171.99/172.03 ( class_Orderings_Oord(T_b)
% 171.99/172.03 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 172.05/172.03 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 172.05/172.03 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_set__eq__subset,axiom,
% 172.05/172.03 ! [T_a,V_B_2,V_A_2] :
% 172.05/172.03 ( V_A_2 = V_B_2
% 172.05/172.03 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 & c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_subset__iff__psubset__eq,axiom,
% 172.05/172.03 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 <=> ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 | V_A_2 = V_B_2 ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_rev__predicate1D,axiom,
% 172.05/172.03 ! [V_Q_2,T_a,V_xa_2,V_Pa_2] :
% 172.05/172.03 ( hBOOL(hAPP(V_Pa_2,V_xa_2))
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)
% 172.05/172.03 => hBOOL(hAPP(V_Q_2,V_xa_2)) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_equalityD1,axiom,
% 172.05/172.03 ! [T_a,V_B_2,V_A_2] :
% 172.05/172.03 ( V_A_2 = V_B_2
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_equalityD2,axiom,
% 172.05/172.03 ! [T_a,V_B_2,V_A_2] :
% 172.05/172.03 ( V_A_2 = V_B_2
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_psubset__imp__subset,axiom,
% 172.05/172.03 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Pow__mono,axiom,
% 172.05/172.03 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Set_OPow(T_a,V_A_2),c_Set_OPow(T_a,V_B_2)) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Inter__anti__mono,axiom,
% 172.05/172.03 ! [V_A_2,V_B_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),V_B_2,V_A_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_predicate1D,axiom,
% 172.05/172.03 ! [V_xa_2,V_Q_2,V_Pa_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)
% 172.05/172.03 => ( hBOOL(hAPP(V_Pa_2,V_xa_2))
% 172.05/172.03 => hBOOL(hAPP(V_Q_2,V_xa_2)) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_psubset__trans,axiom,
% 172.05/172.03 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_psubset__subset__trans,axiom,
% 172.05/172.03 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_subset__psubset__trans,axiom,
% 172.05/172.03 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_subset__trans,axiom,
% 172.05/172.03 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_equalityE,axiom,
% 172.05/172.03 ! [T_a,V_B_2,V_A_2] :
% 172.05/172.03 ( V_A_2 = V_B_2
% 172.05/172.03 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_real__le__antisym,axiom,
% 172.05/172.03 ! [V_w,V_z] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
% 172.05/172.03 => V_z = V_w ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_real__le__trans,axiom,
% 172.05/172.03 ! [V_k,V_j,V_i] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_real__le__linear,axiom,
% 172.05/172.03 ! [V_w,V_z] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 172.05/172.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_real__le__refl,axiom,
% 172.05/172.03 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Inter__lower,axiom,
% 172.05/172.03 ! [V_A_2,V_B_2,T_a] :
% 172.05/172.03 ( c_member(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_PowD,axiom,
% 172.05/172.03 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_member(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_OPow(T_a,V_B_2))
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Pow__iff,axiom,
% 172.05/172.03 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_member(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_OPow(T_a,V_B_2))
% 172.05/172.03 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Pow__top,axiom,
% 172.05/172.03 ! [V_A_2,T_a] : c_member(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_OPow(T_a,V_A_2)) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Union__Pow__eq,axiom,
% 172.05/172.03 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Set_OPow(T_a,V_A_2)) = V_A_2 ).
% 172.05/172.03
% 172.05/172.03 fof(fact_subset__Pow__Union,axiom,
% 172.05/172.03 ! [V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),V_A_2,c_Set_OPow(T_a,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_le__Inf__iff,axiom,
% 172.05/172.03 ! [V_A_2,V_b_2,T_a] :
% 172.05/172.03 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2))
% 172.05/172.03 <=> ! [B_x] :
% 172.05/172.03 ( c_member(T_a,B_x,V_A_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,B_x) ) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Inf__less__iff,axiom,
% 172.05/172.03 ! [V_a_2,V_S_2,T_a] :
% 172.05/172.03 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.03 & class_Orderings_Olinorder(T_a) )
% 172.05/172.03 => ( c_Orderings_Oord__class_Oless(T_a,c_Complete__Lattice_OInf__class_OInf(T_a,V_S_2),V_a_2)
% 172.05/172.03 <=> ? [B_x] :
% 172.05/172.03 ( c_member(T_a,B_x,V_S_2)
% 172.05/172.03 & c_Orderings_Oord__class_Oless(T_a,B_x,V_a_2) ) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Powp__mono,axiom,
% 172.05/172.03 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Predicate_OPowp(T_a,V_A_2),c_Predicate_OPowp(T_a,V_B_2)) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_Inf__greatest,axiom,
% 172.05/172.03 ! [V_z_2,V_A_2,T_a] :
% 172.05/172.03 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.03 => ( ! [B_x] :
% 172.05/172.03 ( c_member(T_a,B_x,V_A_2)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_z_2,B_x) )
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,V_z_2,c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_decseq__def,axiom,
% 172.05/172.03 ! [V_X_2,T_a] :
% 172.05/172.03 ( class_Orderings_Oorder(T_a)
% 172.05/172.03 => ( c_SEQ_Odecseq(T_a,V_X_2)
% 172.05/172.03 <=> ! [B_m,B_n] :
% 172.05/172.03 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 172.05/172.03 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_InterI,axiom,
% 172.05/172.03 ! [V_A_2,V_C_2,T_a] :
% 172.05/172.03 ( ! [B_X] :
% 172.05/172.03 ( c_member(tc_fun(T_a,tc_HOL_Obool),B_X,V_C_2)
% 172.05/172.03 => c_member(T_a,V_A_2,B_X) )
% 172.05/172.03 => c_member(T_a,V_A_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ).
% 172.05/172.03
% 172.05/172.03 fof(fact_subsetI,axiom,
% 172.05/172.03 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( ! [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,V_A_2)
% 172.05/172.04 => c_member(T_a,B_x,V_B_2) )
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inf__UNIV,axiom,
% 172.05/172.04 ! [T_a] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.04 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_incseq__def,axiom,
% 172.05/172.04 ! [V_X_2,T_a] :
% 172.05/172.04 ( class_Orderings_Oorder(T_a)
% 172.05/172.04 => ( c_SEQ_Oincseq(T_a,V_X_2)
% 172.05/172.04 <=> ! [B_m,B_n] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n)) ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_SUP__subset,axiom,
% 172.05/172.04 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b,V_A_2,V_f_2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b,V_B_2,V_f_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_INF__subset,axiom,
% 172.05/172.04 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b,V_B_2,V_f_2),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b,V_A_2,V_f_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_emptyE,axiom,
% 172.05/172.04 ! [V_a_2,T_a] : ~ c_member(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_empty__subsetI,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Union__empty,axiom,
% 172.05/172.04 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_bot__apply,axiom,
% 172.05/172.04 ! [V_xa_2,T_b,T_a] :
% 172.05/172.04 ( class_Orderings_Obot(T_a)
% 172.05/172.04 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_xa_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Sup__empty,axiom,
% 172.05/172.04 ! [T_a] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.04 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_equals0D,axiom,
% 172.05/172.04 ! [V_a_2,T_a,V_A_2] :
% 172.05/172.04 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.04 => ~ c_member(T_a,V_a_2,V_A_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_empty__iff,axiom,
% 172.05/172.04 ! [V_c_2,T_a] : ~ c_member(T_a,V_c_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_ex__in__conv,axiom,
% 172.05/172.04 ! [V_A_2,T_a] :
% 172.05/172.04 ( ? [B_x] : c_member(T_a,B_x,V_A_2)
% 172.05/172.04 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_all__not__in__conv,axiom,
% 172.05/172.04 ! [V_A_2,T_a] :
% 172.05/172.04 ( ! [B_x] : ~ c_member(T_a,B_x,V_A_2)
% 172.05/172.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_empty__Collect__eq,axiom,
% 172.05/172.04 ! [V_Pa_2,T_a] :
% 172.05/172.04 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_Set_OCollect(T_a,V_Pa_2)
% 172.05/172.04 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Collect__empty__eq,axiom,
% 172.05/172.04 ! [V_Pa_2,T_a] :
% 172.05/172.04 ( c_Set_OCollect(T_a,V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.04 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_UNIV__not__empty,axiom,
% 172.05/172.04 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_subset__empty,axiom,
% 172.05/172.04 ! [V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 172.05/172.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inter__empty,axiom,
% 172.05/172.04 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Pow__not__empty,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Set_OPow(T_a,V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_not__psubset__empty,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : ~ c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_bot__least,axiom,
% 172.05/172.04 ! [V_x,T_a] :
% 172.05/172.04 ( class_Orderings_Obot(T_a)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_a,c_Orderings_Obot__class_Obot(T_a),V_x) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inter__UNIV,axiom,
% 172.05/172.04 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inf__empty,axiom,
% 172.05/172.04 ! [T_a] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.04 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Pow__bottom,axiom,
% 172.05/172.04 ! [V_B_2,T_a] : c_member(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Set_OPow(T_a,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inter__subset,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( ! [B_X] :
% 172.05/172.04 ( c_member(tc_fun(T_a,tc_HOL_Obool),B_X,V_A_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),B_X,V_B_2) )
% 172.05/172.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inter__greatest,axiom,
% 172.05/172.04 ! [V_C_2,V_A_2,T_a] :
% 172.05/172.04 ( ! [B_X] :
% 172.05/172.04 ( c_member(tc_fun(T_a,tc_HOL_Obool),B_X,V_A_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,B_X) )
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_monoseq__def,axiom,
% 172.05/172.04 ! [V_X_2,T_a] :
% 172.05/172.04 ( class_Orderings_Oorder(T_a)
% 172.05/172.04 => ( c_SEQ_Omonoseq(T_a,V_X_2)
% 172.05/172.04 <=> ( ! [B_m,B_n] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n)) )
% 172.05/172.04 | ! [B_m,B_n] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_nat__less__le,axiom,
% 172.05/172.04 ! [V_n_2,V_m_2] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 172.05/172.04 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 172.05/172.04 & V_m_2 != V_n_2 ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_le__eq__less__or__eq,axiom,
% 172.05/172.04 ! [V_n_2,V_m_2] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 172.05/172.04 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 172.05/172.04 | V_m_2 = V_n_2 ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_less__imp__le__nat,axiom,
% 172.05/172.04 ! [V_n,V_m] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_termination__basic__simps_I5_J,axiom,
% 172.05/172.04 ! [V_y,V_x] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_le__neq__implies__less,axiom,
% 172.05/172.04 ! [V_n,V_m] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 172.05/172.04 => ( V_m != V_n
% 172.05/172.04 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_less__not__refl,axiom,
% 172.05/172.04 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_nat__neq__iff,axiom,
% 172.05/172.04 ! [V_n_2,V_m_2] :
% 172.05/172.04 ( V_m_2 != V_n_2
% 172.05/172.04 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 172.05/172.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_linorder__neqE__nat,axiom,
% 172.05/172.04 ! [V_y,V_x] :
% 172.05/172.04 ( V_x != V_y
% 172.05/172.04 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 172.05/172.04 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_less__irrefl__nat,axiom,
% 172.05/172.04 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_less__not__refl2,axiom,
% 172.05/172.04 ! [V_m,V_n] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 172.05/172.04 => V_m != V_n ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_less__not__refl3,axiom,
% 172.05/172.04 ! [V_t,V_s] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 172.05/172.04 => V_s != V_t ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_nat__less__cases,axiom,
% 172.05/172.04 ! [V_Pa_2,V_n_2,V_m_2] :
% 172.05/172.04 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 172.05/172.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 172.05/172.04 => ( ( V_m_2 = V_n_2
% 172.05/172.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 172.05/172.04 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 172.05/172.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 172.05/172.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_incseq__imp__monoseq,axiom,
% 172.05/172.04 ! [V_X_2,T_a] :
% 172.05/172.04 ( class_Orderings_Oorder(T_a)
% 172.05/172.04 => ( c_SEQ_Oincseq(T_a,V_X_2)
% 172.05/172.04 => c_SEQ_Omonoseq(T_a,V_X_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_decseq__imp__monoseq,axiom,
% 172.05/172.04 ! [V_X_2,T_a] :
% 172.05/172.04 ( class_Orderings_Oorder(T_a)
% 172.05/172.04 => ( c_SEQ_Odecseq(T_a,V_X_2)
% 172.05/172.04 => c_SEQ_Omonoseq(T_a,V_X_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_le__refl,axiom,
% 172.05/172.04 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_nat__le__linear,axiom,
% 172.05/172.04 ! [V_n,V_m] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 172.05/172.04 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_eq__imp__le,axiom,
% 172.05/172.04 ! [V_n,V_m] :
% 172.05/172.04 ( V_m = V_n
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_le__trans,axiom,
% 172.05/172.04 ! [V_k,V_j,V_i] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_le__antisym,axiom,
% 172.05/172.04 ! [V_n,V_m] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 172.05/172.04 => V_m = V_n ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_less__or__eq__imp__le,axiom,
% 172.05/172.04 ! [V_n,V_m] :
% 172.05/172.04 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 172.05/172.04 | V_m = V_n )
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_monoI1,axiom,
% 172.05/172.04 ! [V_X_2,T_a] :
% 172.05/172.04 ( class_Orderings_Oorder(T_a)
% 172.05/172.04 => ( ! [B_m,B_n] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n)) )
% 172.05/172.04 => c_SEQ_Omonoseq(T_a,V_X_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_monoI2,axiom,
% 172.05/172.04 ! [V_X_2,T_a] :
% 172.05/172.04 ( class_Orderings_Oorder(T_a)
% 172.05/172.04 => ( ! [B_m,B_n] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) )
% 172.05/172.04 => c_SEQ_Omonoseq(T_a,V_X_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Pow__empty,axiom,
% 172.05/172.04 ! [T_a] : c_Set_OPow(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_natceiling__mono,axiom,
% 172.05/172.04 ! [V_y,V_x] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Collect__mono,axiom,
% 172.05/172.04 ! [T_a,V_Q_2,V_Pa_2] :
% 172.05/172.04 ( ! [B_x] :
% 172.05/172.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 172.05/172.04 => hBOOL(hAPP(V_Q_2,B_x)) )
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_OCollect(T_a,V_Pa_2),c_Set_OCollect(T_a,V_Q_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_less__mono__imp__le__mono,axiom,
% 172.05/172.04 ! [V_j_2,V_i_2,V_f_2] :
% 172.05/172.04 ( ! [B_i,B_j] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_i,B_j)
% 172.05/172.04 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,B_i),hAPP(V_f_2,B_j)) )
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(V_f_2,V_i_2),hAPP(V_f_2,V_j_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_UNIV__eq__I,axiom,
% 172.05/172.04 ! [V_A_2,T_a] :
% 172.05/172.04 ( ! [B_x] : c_member(T_a,B_x,V_A_2)
% 172.05/172.04 => c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = V_A_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insertCI,axiom,
% 172.05/172.04 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 172.05/172.04 ( ( ~ c_member(T_a,V_a_2,V_B_2)
% 172.05/172.04 => V_a_2 = V_b_2 )
% 172.05/172.04 => c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insertE,axiom,
% 172.05/172.04 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))
% 172.05/172.04 => ( V_a_2 != V_b_2
% 172.05/172.04 => c_member(T_a,V_a_2,V_A_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__absorb2,axiom,
% 172.05/172.04 ! [V_A_2,V_xa_2,T_a] : c_Set_Oinsert(T_a,V_xa_2,c_Set_Oinsert(T_a,V_xa_2,V_A_2)) = c_Set_Oinsert(T_a,V_xa_2,V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__commute,axiom,
% 172.05/172.04 ! [V_A_2,V_y_2,V_xa_2,T_a] : c_Set_Oinsert(T_a,V_xa_2,c_Set_Oinsert(T_a,V_y_2,V_A_2)) = c_Set_Oinsert(T_a,V_y_2,c_Set_Oinsert(T_a,V_xa_2,V_A_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__code,axiom,
% 172.05/172.04 ! [V_xa_2,V_A_2,V_y_2,T_a] :
% 172.05/172.04 ( hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_xa_2))
% 172.05/172.04 <=> ( V_y_2 = V_xa_2
% 172.05/172.04 | hBOOL(hAPP(V_A_2,V_xa_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__absorb,axiom,
% 172.05/172.04 ! [V_A_2,V_a_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_a_2,V_A_2)
% 172.05/172.04 => c_Set_Oinsert(T_a,V_a_2,V_A_2) = V_A_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insertI2,axiom,
% 172.05/172.04 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_a_2,V_B_2)
% 172.05/172.04 => c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__ident,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_xa_2,T_a] :
% 172.05/172.04 ( ~ c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.04 => ( ~ c_member(T_a,V_xa_2,V_B_2)
% 172.05/172.04 => ( c_Set_Oinsert(T_a,V_xa_2,V_A_2) = c_Set_Oinsert(T_a,V_xa_2,V_B_2)
% 172.05/172.04 <=> V_A_2 = V_B_2 ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__iff,axiom,
% 172.05/172.04 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))
% 172.05/172.04 <=> ( V_a_2 = V_b_2
% 172.05/172.04 | c_member(T_a,V_a_2,V_A_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insertI1,axiom,
% 172.05/172.04 ! [V_B_2,V_a_2,T_a] : c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_singleton__inject,axiom,
% 172.05/172.04 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.04 ( c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 172.05/172.04 => V_a_2 = V_b_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_doubleton__eq__iff,axiom,
% 172.05/172.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 172.05/172.04 ( c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 172.05/172.04 <=> ( ( V_a_2 = V_c_2
% 172.05/172.04 & V_b_2 = V_d_2 )
% 172.05/172.04 | ( V_a_2 = V_d_2
% 172.05/172.04 & V_b_2 = V_c_2 ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__not__empty,axiom,
% 172.05/172.04 ! [V_A_2,V_a_2,T_a] : c_Set_Oinsert(T_a,V_a_2,V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_empty__not__insert,axiom,
% 172.05/172.04 ! [V_A_2,V_a_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != c_Set_Oinsert(T_a,V_a_2,V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__mono,axiom,
% 172.05/172.04 ! [V_a_2,V_D_2,V_C_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_subset__insertI2,axiom,
% 172.05/172.04 ! [V_b_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_subset__insertI,axiom,
% 172.05/172.04 ! [V_a_2,V_B_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_singleton__iff,axiom,
% 172.05/172.04 ! [V_a_2,V_b_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 172.05/172.04 <=> V_b_2 = V_a_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_singletonE,axiom,
% 172.05/172.04 ! [V_a_2,V_b_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 172.05/172.04 => V_b_2 = V_a_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_subset__insert,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_xa_2,T_a] :
% 172.05/172.04 ( ~ c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))
% 172.05/172.04 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__subset,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_xa_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)
% 172.05/172.04 <=> ( c_member(T_a,V_xa_2,V_B_2)
% 172.05/172.04 & c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_subset__singletonD,axiom,
% 172.05/172.04 ! [V_xa_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 172.05/172.04 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.04 | V_A_2 = c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Sup__singleton,axiom,
% 172.05/172.04 ! [V_a_2,T_a] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.04 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inf__singleton,axiom,
% 172.05/172.04 ! [V_a_2,T_a] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.04 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_the__elem__eq,axiom,
% 172.05/172.04 ! [V_xa_2,T_a] : c_Set_Othe__elem(T_a,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_xa_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_psubset__insert__iff,axiom,
% 172.05/172.04 ! [V_B_2,V_xa_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))
% 172.05/172.04 <=> ( ( c_member(T_a,V_xa_2,V_B_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) )
% 172.05/172.04 & ( ~ c_member(T_a,V_xa_2,V_B_2)
% 172.05/172.04 => ( ( c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2) )
% 172.05/172.04 & ( ~ c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_subset__insert__iff,axiom,
% 172.05/172.04 ! [V_B_2,V_xa_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))
% 172.05/172.04 <=> ( ( c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2) )
% 172.05/172.04 & ( ~ c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_diff__single__insert,axiom,
% 172.05/172.04 ! [V_B_2,V_xa_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)
% 172.05/172.04 => ( c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__eq__Inter,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__eq__Union,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_natceiling__le,axiom,
% 172.05/172.04 ! [V_a,V_x] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_sup1CI,axiom,
% 172.05/172.04 ! [T_a,V_A_2,V_xa_2,V_B_2] :
% 172.05/172.04 ( ( ~ hBOOL(hAPP(V_B_2,V_xa_2))
% 172.05/172.04 => hBOOL(hAPP(V_A_2,V_xa_2)) )
% 172.05/172.04 => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_sup1E,axiom,
% 172.05/172.04 ! [V_xa_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))
% 172.05/172.04 => ( ~ hBOOL(hAPP(V_A_2,V_xa_2))
% 172.05/172.04 => hBOOL(hAPP(V_B_2,V_xa_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_inf1E,axiom,
% 172.05/172.04 ! [V_xa_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))
% 172.05/172.04 => ~ ( hBOOL(hAPP(V_A_2,V_xa_2))
% 172.05/172.04 => ~ hBOOL(hAPP(V_B_2,V_xa_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_inf1I,axiom,
% 172.05/172.04 ! [T_a,V_B_2,V_xa_2,V_A_2] :
% 172.05/172.04 ( hBOOL(hAPP(V_A_2,V_xa_2))
% 172.05/172.04 => ( hBOOL(hAPP(V_B_2,V_xa_2))
% 172.05/172.04 => hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_UnE,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => ( ~ c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 => c_member(T_a,V_c_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_UnCI,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,V_c_2,T_a] :
% 172.05/172.04 ( ( ~ c_member(T_a,V_c_2,V_B_2)
% 172.05/172.04 => c_member(T_a,V_c_2,V_A_2) )
% 172.05/172.04 => c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_IntI,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 => ( c_member(T_a,V_c_2,V_B_2)
% 172.05/172.04 => c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_IntE,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => ~ ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 => ~ c_member(T_a,V_c_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_DiffI,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 => ( ~ c_member(T_a,V_c_2,V_B_2)
% 172.05/172.04 => c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_DiffE,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => ~ ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 => c_member(T_a,V_c_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__subset__conv,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)
% 172.05/172.04 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Int__assoc__eq,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))
% 172.05/172.04 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__partition,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)) = V_B_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inter__Un__distrib,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),V_A_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_inf1D2,axiom,
% 172.05/172.04 ! [V_xa_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))
% 172.05/172.04 => hBOOL(hAPP(V_B_2,V_xa_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_inf1D1,axiom,
% 172.05/172.04 ! [V_xa_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))
% 172.05/172.04 => hBOOL(hAPP(V_A_2,V_xa_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_sup1I2,axiom,
% 172.05/172.04 ! [V_A_2,T_a,V_xa_2,V_B_2] :
% 172.05/172.04 ( hBOOL(hAPP(V_B_2,V_xa_2))
% 172.05/172.04 => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_sup1I1,axiom,
% 172.05/172.04 ! [V_B_2,T_a,V_xa_2,V_A_2] :
% 172.05/172.04 ( hBOOL(hAPP(V_A_2,V_xa_2))
% 172.05/172.04 => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Int__crazy,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__Int2,axiom,
% 172.05/172.04 ! [V_B_2,V_C_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),V_B_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Diff__Int,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = V_A_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_ball__Un,axiom,
% 172.05/172.04 ! [V_Pa_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( ! [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 172.05/172.04 <=> ( ! [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,V_A_2)
% 172.05/172.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 172.05/172.04 & ! [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,V_B_2)
% 172.05/172.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_bex__Un,axiom,
% 172.05/172.04 ! [V_Pa_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( ? [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 172.05/172.04 <=> ( ? [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,V_A_2)
% 172.05/172.04 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 172.05/172.04 | ? [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,V_B_2)
% 172.05/172.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Int__distrib2,axiom,
% 172.05/172.04 ! [V_A_2,V_C_2,V_B_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2),V_A_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__Un__distrib2,axiom,
% 172.05/172.04 ! [V_A_2,V_C_2,V_B_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2),V_A_2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__Int__distrib2,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Diff,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__assoc,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__assoc,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__Diff,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Diff__cancel2,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2),V_A_2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__idemp,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Int__distrib,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__Int__distrib,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_C_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__Un__distrib,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__Un,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__Int,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__left__commute,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__left__commute,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__left__absorb,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Diff__cancel,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__left__absorb,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__commute,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__commute,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__absorb,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2) = V_A_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__absorb,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2) = V_A_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Union__Un__distrib,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),V_A_2,V_B_2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Pow__Int__eq,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Set_OPow(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Set_OPow(T_a,V_A_2),c_Set_OPow(T_a,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_real__of__nat__inject,axiom,
% 172.05/172.04 ! [V_m_2,V_n_2] :
% 172.05/172.04 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_RealDef_Oreal(tc_Nat_Onat,V_m_2)
% 172.05/172.04 <=> V_n_2 = V_m_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__triv,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.04 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_A_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__disjoint,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Union__Int__subset,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inter__Un__subset,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),V_A_2,V_B_2))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__iff,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 <=> ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 | c_member(T_a,V_c_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_UnI1,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 => c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_UnI2,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,V_B_2)
% 172.05/172.04 => c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__iff,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 <=> ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 & c_member(T_a,V_c_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_IntD1,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => c_member(T_a,V_c_2,V_A_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_IntD2,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => c_member(T_a,V_c_2,V_B_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__iff,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 <=> ( c_member(T_a,V_c_2,V_A_2)
% 172.05/172.04 & ~ c_member(T_a,V_c_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_DiffD1,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => c_member(T_a,V_c_2,V_A_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_DiffD2,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))
% 172.05/172.04 => ~ c_member(T_a,V_c_2,V_B_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__empty__left,axiom,
% 172.05/172.04 ! [V_B_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2) = V_B_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__empty__right,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__empty,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.04 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.04 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__empty__left,axiom,
% 172.05/172.04 ! [V_B_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__empty__right,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_disjoint__iff__not__equal,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.04 <=> ! [B_x] :
% 172.05/172.04 ( c_member(T_a,B_x,V_A_2)
% 172.05/172.04 => ! [B_xa] :
% 172.05/172.04 ( c_member(T_a,B_xa,V_B_2)
% 172.05/172.04 => B_x != B_xa ) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_empty__Diff,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__empty,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__cancel,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__insert__left,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_a_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2) = c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__insert__right,axiom,
% 172.05/172.04 ! [V_B_2,V_a_2,V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__inter__insert,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_a_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__UNIV__right,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__UNIV__left,axiom,
% 172.05/172.04 ! [V_B_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__upper1,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__upper2,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_subset__Un__eq,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 <=> c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_B_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__absorb1,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_B_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__absorb2,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 172.05/172.04 => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_A_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__least,axiom,
% 172.05/172.04 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__mono,axiom,
% 172.05/172.04 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__UNIV__right,axiom,
% 172.05/172.04 ! [V_A_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__UNIV__left,axiom,
% 172.05/172.04 ! [V_B_2,T_a] : c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_B_2) = V_B_2 ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__lower1,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__lower2,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__absorb2,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_A_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__absorb1,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) = V_B_2 ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__greatest,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_C_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__mono,axiom,
% 172.05/172.04 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__subset,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__mono,axiom,
% 172.05/172.04 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_D_2,V_B_2)
% 172.05/172.04 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_double__diff,axiom,
% 172.05/172.04 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.04 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)
% 172.05/172.04 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)) = V_A_2 ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Un__Pow__subset,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Set_OPow(T_a,V_A_2),c_Set_OPow(T_a,V_B_2)),c_Set_OPow(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_natceiling__real__of__nat,axiom,
% 172.05/172.04 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 172.05/172.04
% 172.05/172.04 fof(fact_real__of__nat__less__iff,axiom,
% 172.05/172.04 ! [V_m_2,V_n_2] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))
% 172.05/172.04 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_real__of__nat__le__iff,axiom,
% 172.05/172.04 ! [V_m_2,V_n_2] :
% 172.05/172.04 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))
% 172.05/172.04 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__insert__left__if1,axiom,
% 172.05/172.04 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_a_2,V_C_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2) = c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__insert__right__if1,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_a_2,V_A_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__insert__left__if0,axiom,
% 172.05/172.04 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 172.05/172.04 ( ~ c_member(T_a,V_a_2,V_C_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__insert__right__if0,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 172.05/172.04 ( ~ c_member(T_a,V_a_2,V_A_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__insert__left,axiom,
% 172.05/172.04 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 172.05/172.04 ( ( c_member(T_a,V_a_2,V_C_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2) = c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)) )
% 172.05/172.04 & ( ~ c_member(T_a,V_a_2,V_C_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Int__insert__right,axiom,
% 172.05/172.04 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 172.05/172.04 ( ( c_member(T_a,V_a_2,V_A_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) )
% 172.05/172.04 & ( ~ c_member(T_a,V_a_2,V_A_2)
% 172.05/172.04 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__Diff1,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,V_xa_2,T_a] :
% 172.05/172.04 ( c_member(T_a,V_xa_2,V_B_2)
% 172.05/172.04 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__Diff__if,axiom,
% 172.05/172.04 ! [V_A_2,V_B_2,V_xa_2,T_a] :
% 172.05/172.04 ( ( c_member(T_a,V_xa_2,V_B_2)
% 172.05/172.04 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) )
% 172.05/172.04 & ( ~ c_member(T_a,V_xa_2,V_B_2)
% 172.05/172.04 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2) = c_Set_Oinsert(T_a,V_xa_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)) ) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Sup__insert,axiom,
% 172.05/172.04 ! [V_A_2,V_a_2,T_a] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.04 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Set_Oinsert(T_a,V_a_2,V_A_2)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a_2,c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__is__Un,axiom,
% 172.05/172.04 ! [V_A_2,V_a_2,T_a] : c_Set_Oinsert(T_a,V_a_2,V_A_2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_insert__Diff__single,axiom,
% 172.05/172.04 ! [V_A_2,V_a_2,T_a] : c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Set_Oinsert(T_a,V_a_2,V_A_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__insert2,axiom,
% 172.05/172.04 ! [V_B_2,V_a_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Diff__insert,axiom,
% 172.05/172.04 ! [V_B_2,V_a_2,V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) = c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 172.05/172.04
% 172.05/172.04 fof(fact_Inf__insert,axiom,
% 172.05/172.04 ! [V_A_2,V_a_2,T_a] :
% 172.05/172.04 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.04 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Set_Oinsert(T_a,V_a_2,V_A_2)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a_2,c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Diff__UNIV,axiom,
% 172.05/172.05 ! [V_A_2,T_a] : c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Union__disjoint,axiom,
% 172.05/172.05 ! [V_A_2,V_C_2,T_a] :
% 172.05/172.05 ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.05 <=> ! [B_x] :
% 172.05/172.05 ( c_member(tc_fun(T_a,tc_HOL_Obool),B_x,V_C_2)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),B_x,V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__natceiling__ge,axiom,
% 172.05/172.05 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Union__insert,axiom,
% 172.05/172.05 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_a_2,V_B_2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_a_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Inter__insert,axiom,
% 172.05/172.05 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_a_2,V_B_2)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_a_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Sup__binary,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.05 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a_2,V_b_2) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Inf__binary,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 172.05/172.05 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a_2,V_b_2) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_insert__Diff,axiom,
% 172.05/172.05 ! [V_A_2,V_a_2,T_a] :
% 172.05/172.05 ( c_member(T_a,V_a_2,V_A_2)
% 172.05/172.05 => c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Diff__insert__absorb,axiom,
% 172.05/172.05 ! [V_A_2,V_xa_2,T_a] :
% 172.05/172.05 ( ~ c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_distrib__inf__le,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z))) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_distrib__sup__le,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)),c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z))) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__apply,axiom,
% 172.05/172.05 ! [V_xa_2,V_g_2,V_f_2,T_b,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a),V_f_2,V_g_2),V_xa_2) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__apply,axiom,
% 172.05/172.05 ! [V_xa_2,V_g_2,V_f_2,T_b,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a),V_f_2,V_g_2),V_xa_2) = c_Lattices_Osemilattice__sup__class_Osup(T_a,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__top__left,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Orderings_Otop__class_Otop(T_a),V_x) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__top__right,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__eq__top__iff,axiom,
% 172.05/172.05 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 172.05/172.05 => ( c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_xa_2,V_y_2) = c_Orderings_Otop__class_Otop(T_a)
% 172.05/172.05 <=> ( V_xa_2 = c_Orderings_Otop__class_Otop(T_a)
% 172.05/172.05 & V_y_2 = c_Orderings_Otop__class_Otop(T_a) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__assoc,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),V_z) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I6_J,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),V_z) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup_Oassoc,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_c) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_c)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__left__commute,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I7_J,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup_Oleft__commute,axiom,
% 172.05/172.05 ! [V_c,V_a,V_b,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_c)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_c)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__left__idem,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I8_J,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup_Oleft__idem,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__commute,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I5_J,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup_Ocommute,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b) = c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__idem,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_x) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup_Oidem,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_a) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__assoc,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I2_J,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf_Oassoc,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_c) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__left__commute,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I3_J,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf_Oleft__commute,axiom,
% 172.05/172.05 ! [V_c,V_a,V_b,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_c)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__left__idem,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I4_J,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf_Oleft__idem,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__commute,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__aci_I1_J,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf_Ocommute,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__idem,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_x) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf_Oidem,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_a) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__supE,axiom,
% 172.05/172.05 ! [V_x,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_x)
% 172.05/172.05 => ~ ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_x)
% 172.05/172.05 => ~ c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_x) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__mono,axiom,
% 172.05/172.05 ! [V_d,V_b,V_c,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_d)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_c,V_d)) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__least,axiom,
% 172.05/172.05 ! [V_z,V_x,V_y,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z),V_x) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__supI,axiom,
% 172.05/172.05 ! [V_b,V_x,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_x)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_x)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_x) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__absorb1,axiom,
% 172.05/172.05 ! [V_x,V_y,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y) = V_x ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__absorb2,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y) = V_y ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__supI2,axiom,
% 172.05/172.05 ! [V_a,V_b,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__supI1,axiom,
% 172.05/172.05 ! [V_b,V_a,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__sup__iff,axiom,
% 172.05/172.05 ! [V_z_2,V_y_2,V_xa_2,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_y_2),V_z_2)
% 172.05/172.05 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_z_2)
% 172.05/172.05 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_z_2) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__iff__sup,axiom,
% 172.05/172.05 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 172.05/172.05 <=> c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_y_2) = V_y_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__ge2,axiom,
% 172.05/172.05 ! [V_x,V_y,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__ord_I4_J,axiom,
% 172.05/172.05 ! [V_x,V_y,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__ge1,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__ord_I3_J,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__infE,axiom,
% 172.05/172.05 ! [V_b,V_a,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))
% 172.05/172.05 => ~ ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 172.05/172.05 => ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__mono,axiom,
% 172.05/172.05 ! [V_d,V_b,V_c,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_d)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_c,V_d)) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__greatest,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__infI,axiom,
% 172.05/172.05 ! [V_b,V_a,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_b)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__absorb2,axiom,
% 172.05/172.05 ! [V_x,V_y,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = V_y ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__absorb1,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y) = V_x ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__infI2,axiom,
% 172.05/172.05 ! [V_a,V_x,V_b,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_x)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__infI1,axiom,
% 172.05/172.05 ! [V_b,V_x,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_x)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__inf__iff,axiom,
% 172.05/172.05 ! [V_z_2,V_y_2,V_xa_2,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y_2,V_z_2))
% 172.05/172.05 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 172.05/172.05 & c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_z_2) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__iff__inf,axiom,
% 172.05/172.05 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 172.05/172.05 <=> c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_xa_2,V_y_2) = V_xa_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__le2,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__ord_I2_J,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__le1,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__ord_I1_J,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__supI1,axiom,
% 172.05/172.05 ! [V_b,V_a,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__supI2,axiom,
% 172.05/172.05 ! [V_a,V_b,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__sup(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_b)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__infI1,axiom,
% 172.05/172.05 ! [V_b,V_x,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_x)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__infI2,axiom,
% 172.05/172.05 ! [V_a,V_x,V_b,T_a] :
% 172.05/172.05 ( class_Lattices_Osemilattice__inf(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_x)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__eq__bot__iff,axiom,
% 172.05/172.05 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__bot(T_a)
% 172.05/172.05 => ( c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_y_2) = c_Orderings_Obot__class_Obot(T_a)
% 172.05/172.05 <=> ( V_xa_2 = c_Orderings_Obot__class_Obot(T_a)
% 172.05/172.05 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__bot__right,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__bot(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__bot__left,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__bot(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Orderings_Obot__class_Obot(T_a),V_x) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__bot__right,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__bot(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__bot__left,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__bot(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Orderings_Obot__class_Obot(T_a),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__inf__distrib2,axiom,
% 172.05/172.05 ! [V_x,V_z,V_y,T_a] :
% 172.05/172.05 ( class_Lattices_Odistrib__lattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z),V_x) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_z,V_x)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__distrib2,axiom,
% 172.05/172.05 ! [V_x,V_z,V_y,T_a] :
% 172.05/172.05 ( class_Lattices_Odistrib__lattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z),V_x) = c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_z,V_x)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__inf__distrib1,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Odistrib__lattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)) = c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__distrib1,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Odistrib__lattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)) = c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__inf__absorb,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_inf__sup__absorb,axiom,
% 172.05/172.05 ! [V_y,V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Olattice(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__top__right,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_sup__top__left,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 172.05/172.05 => c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Orderings_Otop__class_Otop(T_a),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_minus__apply,axiom,
% 172.05/172.05 ! [V_xa_2,V_B_2,V_A_2,T_b,T_a] :
% 172.05/172.05 ( class_Groups_Ominus(T_a)
% 172.05/172.05 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_xa_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_xa_2),hAPP(V_B_2,V_xa_2)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__eq__diff__less,axiom,
% 172.05/172.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__group__add(T_a)
% 172.05/172.05 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__eq__diff__less__eq,axiom,
% 172.05/172.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__group__add(T_a)
% 172.05/172.05 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_c_2,V_d_2) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Int__Collect__mono,axiom,
% 172.05/172.05 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_a] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)
% 172.05/172.05 => ( ! [B_x] :
% 172.05/172.05 ( c_member(T_a,B_x,V_A_2)
% 172.05/172.05 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 172.05/172.05 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_OCollect(T_a,V_Pa_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_OCollect(T_a,V_Q_2))) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 172.05/172.05 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_xa_2,T_a] :
% 172.05/172.05 ( c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.05 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2)
% 172.05/172.05 => c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_xa_2),V_y_2)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natceiling__le__eq,axiom,
% 172.05/172.05 ! [V_a_2,V_xa_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),V_a_2)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__of__nat__ge__zero,axiom,
% 172.05/172.05 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__of__nat__diff,axiom,
% 172.05/172.05 ! [V_m,V_n] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 172.05/172.05 => c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 172.05/172.05 ! [V_a2_2,V_a1_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 172.05/172.05 ! [V_z_2,V_f_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__less__mono2,axiom,
% 172.05/172.05 ! [V_l,V_n,V_m] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__imp__diff__less,axiom,
% 172.05/172.05 ! [V_n,V_k,V_j] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__le__self,axiom,
% 172.05/172.05 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__le__mono2,axiom,
% 172.05/172.05 ! [V_l,V_n,V_m] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__le__mono,axiom,
% 172.05/172.05 ! [V_l,V_n,V_m] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_l),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_l)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__diff__cancel,axiom,
% 172.05/172.05 ! [V_n,V_i] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_eq__diff__iff,axiom,
% 172.05/172.05 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2)
% 172.05/172.05 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)
% 172.05/172.05 <=> V_m_2 = V_n_2 ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Nat_Odiff__diff__eq,axiom,
% 172.05/172.05 ! [V_n,V_m,V_k] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__diff__iff,axiom,
% 172.05/172.05 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_zero__reorient,axiom,
% 172.05/172.05 ! [V_xa_2,T_a] :
% 172.05/172.05 ( class_Groups_Ozero(T_a)
% 172.05/172.05 => ( c_Groups_Ozero__class_Ozero(T_a) = V_xa_2
% 172.05/172.05 <=> V_xa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_right__minus__eq,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Ogroup__add(T_a)
% 172.05/172.05 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.05 <=> V_a_2 = V_b_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_eq__iff__diff__eq__0,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oab__group__add(T_a)
% 172.05/172.05 => ( V_a_2 = V_b_2
% 172.05/172.05 <=> c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__self,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ogroup__add(T_a)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__0__right,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ogroup__add(T_a)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__le__eq__diff,axiom,
% 172.05/172.05 ! [V_y_2,V_xa_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_xa_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__iff__diff__le__0,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__group__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__iff__diff__less__0,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__group__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natceiling__subtract,axiom,
% 172.05/172.05 ! [V_x,V_a] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)
% 172.05/172.05 => c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__less__mono,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a,V_c),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_b,V_c)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__diff__iff,axiom,
% 172.05/172.05 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_not__real__of__nat__less__zero,axiom,
% 172.05/172.05 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__eq__diff__eq,axiom,
% 172.05/172.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oab__group__add(T_a)
% 172.05/172.05 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 172.05/172.05 => ( V_a_2 = V_b_2
% 172.05/172.05 <=> V_c_2 = V_d_2 ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 172.05/172.05 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] :
% 172.05/172.05 ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 172.05/172.05 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 172.05/172.05 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 172.05/172.05 | ? [B_x,B_y] :
% 172.05/172.05 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 172.05/172.05 & c_member(T_a,B_x,V_a2_2)
% 172.05/172.05 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,B_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__natfloor,axiom,
% 172.05/172.05 ! [V_n,V_x] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))
% 172.05/172.05 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__natfloor__eq,axiom,
% 172.05/172.05 ! [V_a_2,V_xa_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_a_2,c_RComplete_Onatfloor(V_xa_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2),V_xa_2) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_insert__partition,axiom,
% 172.05/172.05 ! [V_F_2,V_xa_2,T_a] :
% 172.05/172.05 ( ~ c_member(tc_fun(T_a,tc_HOL_Obool),V_xa_2,V_F_2)
% 172.05/172.05 => ( ! [B_x] :
% 172.05/172.05 ( c_member(tc_fun(T_a,tc_HOL_Obool),B_x,c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_xa_2,V_F_2))
% 172.05/172.05 => ! [B_xa] :
% 172.05/172.05 ( c_member(tc_fun(T_a,tc_HOL_Obool),B_xa,c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),V_xa_2,V_F_2))
% 172.05/172.05 => ( B_x != B_xa
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),B_x,B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 172.05/172.05 => c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_xa_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__zeroE,axiom,
% 172.05/172.05 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le0,axiom,
% 172.05/172.05 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natfloor__neg,axiom,
% 172.05/172.05 ! [V_x] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 172.05/172.05 => c_RComplete_Onatfloor(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_zero__le__natfloor,axiom,
% 172.05/172.05 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natfloor__zero,axiom,
% 172.05/172.05 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_zero__less__diff,axiom,
% 172.05/172.05 ! [V_m_2,V_n_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_m_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__less,axiom,
% 172.05/172.05 ! [V_m,V_n] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__is__0__eq_H,axiom,
% 172.05/172.05 ! [V_n,V_m] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__is__0__eq,axiom,
% 172.05/172.05 ! [V_n_2,V_m_2] :
% 172.05/172.05 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__0__eq__0,axiom,
% 172.05/172.05 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_minus__nat_Odiff__0,axiom,
% 172.05/172.05 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__self__eq__0,axiom,
% 172.05/172.05 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__commute,axiom,
% 172.05/172.05 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_k),V_j) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diffs0__imp__equal,axiom,
% 172.05/172.05 ! [V_n,V_m] :
% 172.05/172.05 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.05 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.05 => V_m = V_n ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_not__less0,axiom,
% 172.05/172.05 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_neq0__conv,axiom,
% 172.05/172.05 ! [V_n_2] :
% 172.05/172.05 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__nat__zero__code,axiom,
% 172.05/172.05 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_gr__implies__not0,axiom,
% 172.05/172.05 ! [V_n,V_m] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 172.05/172.05 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_gr0I,axiom,
% 172.05/172.05 ! [V_n] :
% 172.05/172.05 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__0__eq,axiom,
% 172.05/172.05 ! [V_n_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 172.05/172.05 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 172.05/172.05 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natfloor__real__of__nat,axiom,
% 172.05/172.05 ! [V_n] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__of__nat__zero__iff,axiom,
% 172.05/172.05 ! [V_n_2] :
% 172.05/172.05 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 172.05/172.05 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__of__nat__zero,axiom,
% 172.05/172.05 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natfloor__mono,axiom,
% 172.05/172.05 ! [V_y,V_x] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natceiling__zero,axiom,
% 172.05/172.05 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natfloor__subtract,axiom,
% 172.05/172.05 ! [V_x,V_a] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)
% 172.05/172.05 => c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_zero__le__natceiling,axiom,
% 172.05/172.05 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
% 172.05/172.05 ! [V_n_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 172.05/172.05 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natceiling__neg,axiom,
% 172.05/172.05 ! [V_x] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 172.05/172.05 => c_RComplete_Onatceiling(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__natfloor__le,axiom,
% 172.05/172.05 ! [V_x] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__natfloor,axiom,
% 172.05/172.05 ! [V_a,V_x] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
% 172.05/172.05 ! [V_n_2] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Diff1__fold__graph,axiom,
% 172.05/172.05 ! [V_y_2,V_xa_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 172.05/172.05 ( c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2)
% 172.05/172.05 => ( c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.05 => c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_xa_2),V_y_2)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__natfloor__gt__diff__one,axiom,
% 172.05/172.05 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Nats__real__of__nat,axiom,
% 172.05/172.05 ! [V_n_2] : c_member(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Nat_Osemiring__1__class_ONats(tc_RealDef_Oreal)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Gcd__empty,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_GCD_Ogcd(T_a)
% 172.05/172.05 => c_GCD_Ogcd__class_OGcd(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_zero__neq__one,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Ozero__neq__one(T_a)
% 172.05/172.05 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_one__neq__zero,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Ozero__neq__one(T_a)
% 172.05/172.05 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__zero__not__eq__one,axiom,
% 172.05/172.05 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_bot__nat__def,axiom,
% 172.05/172.05 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_empty__fold__graphE,axiom,
% 172.05/172.05 ! [V_xa_2,V_z_2,V_f_2,T_b,T_a] :
% 172.05/172.05 ( c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_xa_2)
% 172.05/172.05 => V_xa_2 = V_z_2 ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph_OemptyI,axiom,
% 172.05/172.05 ! [V_z_2,V_f_2,T_b,T_a] : c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 172.05/172.05 ! [V_z_2,V_f_2,T_b,T_a] : c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Nats__1,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Osemiring__1(T_a)
% 172.05/172.05 => c_member(T_a,c_Groups_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_ONats(T_a)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_one__reorient,axiom,
% 172.05/172.05 ! [V_xa_2,T_a] :
% 172.05/172.05 ( class_Groups_Oone(T_a)
% 172.05/172.05 => ( c_Groups_Oone__class_Oone(T_a) = V_xa_2
% 172.05/172.05 <=> V_xa_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_not__one__le__zero,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.05 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_zero__le__one,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_not__one__less__zero,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.05 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_zero__less__one,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph_OinsertI,axiom,
% 172.05/172.05 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_xa_2,T_a] :
% 172.05/172.05 ( ~ c_member(T_a,V_xa_2,V_A_2)
% 172.05/172.05 => ( c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2,V_y_2)
% 172.05/172.05 => c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Set_Oinsert(T_a,V_xa_2,V_A_2),hAPP(hAPP(V_f_2,V_xa_2),V_y_2)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Nats__0,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_Rings_Osemiring__1(T_a)
% 172.05/172.05 => c_member(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_ONats(T_a)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Lcm__empty,axiom,
% 172.05/172.05 ! [T_a] :
% 172.05/172.05 ( class_GCD_Ogcd(T_a)
% 172.05/172.05 => c_GCD_Ogcd__class_OLcm(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold1Set_Ointros,axiom,
% 172.05/172.05 ! [V_xa_2,V_A_2,V_a_2,V_f_2,T_a] :
% 172.05/172.05 ( c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,V_a_2,V_A_2,V_xa_2)
% 172.05/172.05 => ( ~ c_member(T_a,V_a_2,V_A_2)
% 172.05/172.05 => c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Set_Oinsert(T_a,V_a_2,V_A_2),V_xa_2) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_natfloor__eq,axiom,
% 172.05/172.05 ! [V_x,V_n] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 172.05/172.05 => c_RComplete_Onatfloor(V_x) = V_n ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_fold__graph__permute__diff,axiom,
% 172.05/172.05 ! [V_a_2,V_xa_2,V_A_2,V_b_2,T_a] :
% 172.05/172.05 ( class_Groups_Oab__semigroup__mult(T_a)
% 172.05/172.05 => ( c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2,V_xa_2)
% 172.05/172.05 => ( c_member(T_a,V_a_2,V_A_2)
% 172.05/172.05 => ( ~ c_member(T_a,V_b_2,V_A_2)
% 172.05/172.05 => c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_xa_2) ) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_convex__bound__le,axiom,
% 172.05/172.05 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 172.05/172.05 ( class_Rings_Olinordered__semiring__1(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_divisors__zero,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Rings_Ono__zero__divisors(T_a)
% 172.05/172.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.05 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.05 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_no__zero__divisors,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Rings_Ono__zero__divisors(T_a)
% 172.05/172.05 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__eq__0__iff,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Rings_Oring__no__zero__divisors(T_a)
% 172.05/172.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.05 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.05 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__zero__right,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Rings_Omult__zero(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__zero__left,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Rings_Omult__zero(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__0__left,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Omonoid__add(T_a)
% 172.05/172.05 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__0,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ocomm__monoid__add(T_a)
% 172.05/172.05 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_double__zero__sym,axiom,
% 172.05/172.05 ! [V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Olinordered__ab__group__add(T_a)
% 172.05/172.05 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)
% 172.05/172.05 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__0__right,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Omonoid__add(T_a)
% 172.05/172.05 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add_Ocomm__neutral,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ocomm__monoid__add(T_a)
% 172.05/172.05 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__mult__left__cancel,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,V_c_2] :
% 172.05/172.05 ( V_c_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 172.05/172.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_b_2)
% 172.05/172.05 <=> V_a_2 = V_b_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__mult__right__cancel,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,V_c_2] :
% 172.05/172.05 ( V_c_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 172.05/172.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_c_2)
% 172.05/172.05 <=> V_a_2 = V_b_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__two__squares__add__zero__iff,axiom,
% 172.05/172.05 ! [V_y_2,V_xa_2] :
% 172.05/172.05 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 172.05/172.05 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 172.05/172.05 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__eq__self__implies__10,axiom,
% 172.05/172.05 ! [V_n,V_m] :
% 172.05/172.05 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 172.05/172.05 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 172.05/172.05 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__cancel2,axiom,
% 172.05/172.05 ! [V_n_2,V_k_2,V_m_2] :
% 172.05/172.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)
% 172.05/172.05 <=> ( V_m_2 = V_n_2
% 172.05/172.05 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__cancel1,axiom,
% 172.05/172.05 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 172.05/172.05 <=> ( V_m_2 = V_n_2
% 172.05/172.05 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__is__0,axiom,
% 172.05/172.05 ! [V_n_2,V_m_2] :
% 172.05/172.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.05 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.05 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__0__right,axiom,
% 172.05/172.05 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__0,axiom,
% 172.05/172.05 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__squared__diff__one__factored,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Rings_Oring__1(T_a)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),c_Groups_Oone__class_Oone(T_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))),c_Groups_Ominus__class_Ominus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__mult__1,axiom,
% 172.05/172.05 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult_Ocomm__neutral,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ocomm__monoid__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__1__right,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__1,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ocomm__monoid__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__1__left,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__le__cancel__right,axiom,
% 172.05/172.05 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_c_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__le__cancel__left,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_b_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__right__mono,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__left__mono,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__mono,axiom,
% 172.05/172.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__le__imp__le__right,axiom,
% 172.05/172.05 ! [V_b,V_c,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__le__imp__le__left,axiom,
% 172.05/172.05 ! [V_b,V_a,V_c,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oab__semigroup__add(T_a)
% 172.05/172.05 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oab__semigroup__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__left__cancel,axiom,
% 172.05/172.05 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Ocancel__semigroup__add(T_a)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)
% 172.05/172.05 <=> V_b_2 = V_c_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__right__cancel,axiom,
% 172.05/172.05 ! [V_c_2,V_a_2,V_b_2,T_a] :
% 172.05/172.05 ( class_Groups_Ocancel__semigroup__add(T_a)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2) = c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)
% 172.05/172.05 <=> V_b_2 = V_c_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__left__imp__eq,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ocancel__semigroup__add(T_a)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 172.05/172.05 => V_b = V_c ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__imp__eq,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 172.05/172.05 => V_b = V_c ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__right__imp__eq,axiom,
% 172.05/172.05 ! [V_c,V_a,V_b,T_a] :
% 172.05/172.05 ( class_Groups_Ocancel__semigroup__add(T_a)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 172.05/172.05 => V_b = V_c ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__less__imp__less__left,axiom,
% 172.05/172.05 ! [V_b,V_a,V_c,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__less__imp__less__right,axiom,
% 172.05/172.05 ! [V_b,V_c,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__strict__mono,axiom,
% 172.05/172.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__strict__left__mono,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__strict__right__mono,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.05 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__less__cancel__left,axiom,
% 172.05/172.05 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_b_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__less__cancel__right,axiom,
% 172.05/172.05 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_c_2))
% 172.05/172.05 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__le__mono,axiom,
% 172.05/172.05 ! [V_l,V_k,V_j,V_i] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.05 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l)) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__le__mono2,axiom,
% 172.05/172.05 ! [V_k,V_j,V_i] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__le__mono1,axiom,
% 172.05/172.05 ! [V_k,V_j,V_i] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__cube,axiom,
% 172.05/172.05 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_le__square,axiom,
% 172.05/172.05 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__of__nat__mult,axiom,
% 172.05/172.05 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__add__mult__distrib,axiom,
% 172.05/172.05 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_comm__semiring__class_Odistrib,axiom,
% 172.05/172.05 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.05 ( class_Rings_Ocomm__semiring(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_combine__common__factor,axiom,
% 172.05/172.05 ! [V_c,V_b,V_e,V_a,T_a] :
% 172.05/172.05 ( class_Rings_Osemiring(T_a)
% 172.05/172.05 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e),V_c)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_e),V_c) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_real__add__left__mono,axiom,
% 172.05/172.05 ! [V_z,V_y,V_x] :
% 172.05/172.05 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 172.05/172.05 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_x),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_y)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_times_Oidem,axiom,
% 172.05/172.05 ! [V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__idem,axiom,
% 172.05/172.05 ! [V_x,T_a] :
% 172.05/172.05 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__left__idem,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 172.05/172.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_eq__add__iff1,axiom,
% 172.05/172.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Rings_Oring(T_a)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)
% 172.05/172.05 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)),V_e_2),V_c_2) = V_d_2 ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_eq__add__iff2,axiom,
% 172.05/172.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 172.05/172.05 ( class_Rings_Oring(T_a)
% 172.05/172.05 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)
% 172.05/172.05 <=> V_c_2 = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_a_2)),V_e_2),V_d_2) ) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__add__cancel,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ogroup__add(T_a)
% 172.05/172.05 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_add__diff__cancel,axiom,
% 172.05/172.05 ! [V_b,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Ogroup__add(T_a)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_mult__diff__mult,axiom,
% 172.05/172.05 ! [V_b,V_a,V_y,V_x,T_a] :
% 172.05/172.05 ( class_Rings_Oring(T_a)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)) ) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__mult__distrib,axiom,
% 172.05/172.05 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_diff__mult__distrib2,axiom,
% 172.05/172.05 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 172.05/172.05
% 172.05/172.05 fof(fact_Deriv_Oadd__diff__add,axiom,
% 172.05/172.05 ! [V_d,V_b,V_c,V_a,T_a] :
% 172.05/172.05 ( class_Groups_Oab__group__add(T_a)
% 172.05/172.05 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d)) ) ).
% 172.05/172.05
% 172.05/172.06 fof(fact_less__add__iff1,axiom,
% 172.05/172.06 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)),V_e_2),V_c_2),V_d_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_less__add__iff2,axiom,
% 172.05/172.06 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_a_2)),V_e_2),V_d_2)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__add__iff1,axiom,
% 172.05/172.06 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)),V_e_2),V_c_2),V_d_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__add__iff2,axiom,
% 172.05/172.06 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_c_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_a_2)),V_e_2),V_d_2)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_convex__bound__lt,axiom,
% 172.05/172.06 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Groups_Olinordered__ab__group__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Groups_Olinordered__ab__group__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__nonneg__nonneg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__nonneg__eq__0__iff,axiom,
% 172.05/172.06 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(T_a,V_xa_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__increasing,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__increasing2,axiom,
% 172.05/172.06 ! [V_a,V_b,V_c,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__nonpos__nonpos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Groups_Olinordered__ab__group__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Groups_Olinordered__ab__group__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__pos__pos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_pos__add__strict,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__neg__neg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__less__le__mono,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__le__less__mono,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_less__add__one,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_split__mult__neg__le,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__cancel__semiring(T_a)
% 172.05/172.06 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 172.05/172.06 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_split__mult__pos__le,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 172.05/172.06 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__mono,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__mono_H,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left__mono__neg,axiom,
% 172.05/172.06 ! [V_c,V_a,V_b,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right__mono__neg,axiom,
% 172.05/172.06 ! [V_c,V_a,V_b,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__mult__left__mono,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__comm__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left__mono,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right__mono,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__nonpos__nonpos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__ring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__nonpos__nonneg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__cancel__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__nonneg__nonpos2,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__cancel__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__nonneg__nonpos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__cancel__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__nonneg__nonneg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oordered__cancel__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__le__0__iff,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 172.05/172.06 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__le__mult__iff,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))
% 172.05/172.06 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 172.05/172.06 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__le__square,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring(T_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__strict__left__mono__neg,axiom,
% 172.05/172.06 ! [V_c,V_a,V_b,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__strict__right__mono__neg,axiom,
% 172.05/172.06 ! [V_c,V_a,V_b,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__mult__strict__left__mono,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__strict__left__mono,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__strict__right__mono,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__neg__neg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__neg__pos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__cancel__left__neg,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__less__mult__pos2,axiom,
% 172.05/172.06 ! [V_a,V_b,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__less__mult__pos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__pos__neg2,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__pos__neg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__pos__pos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__cancel__left__pos,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__cancel__left__disj,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 172.05/172.06 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 172.05/172.06 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) )
% 172.05/172.06 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__cancel__right__disj,axiom,
% 172.05/172.06 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))
% 172.05/172.06 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 172.05/172.06 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) )
% 172.05/172.06 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_not__square__less__zero,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring(T_a)
% 172.05/172.06 => ~ c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__mult__natfloor,axiom,
% 172.05/172.06 ! [V_b,V_a] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b))) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_less__1__mult,axiom,
% 172.05/172.06 ! [V_n,V_m,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_fold1Set__nonempty,axiom,
% 172.05/172.06 ! [V_xa_2,V_A_2,V_f_2,T_a] :
% 172.05/172.06 ( c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2,V_xa_2)
% 172.05/172.06 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_empty__fold1SetE,axiom,
% 172.05/172.06 ! [V_xa_2,V_f_2,T_a] : ~ c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_xa_2) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__0__less__mult__iff,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))
% 172.05/172.06 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 172.05/172.06 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__cancel1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))
% 172.05/172.06 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 172.05/172.06 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__cancel2,axiom,
% 172.05/172.06 ! [V_n_2,V_k_2,V_m_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))
% 172.05/172.06 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 172.05/172.06 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__mono1,axiom,
% 172.05/172.06 ! [V_k,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__mono2,axiom,
% 172.05/172.06 ! [V_k,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__mult__less__iff1,axiom,
% 172.05/172.06 ! [V_y_2,V_xa_2,V_z_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__mult__order,axiom,
% 172.05/172.06 ! [V_y,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__mult__less__mono2,axiom,
% 172.05/172.06 ! [V_y,V_x,V_z] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__of__nat__1,axiom,
% 172.05/172.06 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Nats__add,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Osemiring__1(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Nat_Osemiring__1__class_ONats(T_a))
% 172.05/172.06 => ( c_member(T_a,V_b_2,c_Nat_Osemiring__1__class_ONats(T_a))
% 172.05/172.06 => c_member(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Nats__mult,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Osemiring__1(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Nat_Osemiring__1__class_ONats(T_a))
% 172.05/172.06 => ( c_member(T_a,V_b_2,c_Nat_Osemiring__1__class_ONats(T_a))
% 172.05/172.06 => c_member(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natfloor__one,axiom,
% 172.05/172.06 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natceiling__one,axiom,
% 172.05/172.06 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__pos__nonneg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__nonneg__pos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__strict__increasing,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__strict__increasing2,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__neg__nonpos,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__nonpos__neg,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__less__two,axiom,
% 172.05/172.06 ! [T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left__le__imp__le,axiom,
% 172.05/172.06 ! [V_b,V_a,V_c,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right__le__imp__le,axiom,
% 172.05/172.06 ! [V_b,V_c,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__imp__less__left,axiom,
% 172.05/172.06 ! [V_b,V_a,V_c,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left__less__imp__less,axiom,
% 172.05/172.06 ! [V_b,V_a,V_c,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__imp__less__right,axiom,
% 172.05/172.06 ! [V_b,V_c,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right__less__imp__less,axiom,
% 172.05/172.06 ! [V_b,V_c,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__le__less__imp__less,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__less__le__imp__less,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__strict__mono_H,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__strict__mono,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semiring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__le__cancel__left__neg,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_a_2) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__le__cancel__left__pos,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right__le__one__le,axiom,
% 172.05/172.06 ! [V_y,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__idom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left__le__one__le,axiom,
% 172.05/172.06 ! [V_y,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__idom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__mult__le__cancel__iff1,axiom,
% 172.05/172.06 ! [V_y_2,V_xa_2,V_z_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__mult__le__cancel__iff2,axiom,
% 172.05/172.06 ! [V_y_2,V_xa_2,V_z_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__le__cancel2,axiom,
% 172.05/172.06 ! [V_n_2,V_k_2,V_m_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))
% 172.05/172.06 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__le__cancel1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))
% 172.05/172.06 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_fold__graph__insert__swap,axiom,
% 172.05/172.06 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_a] :
% 172.05/172.06 ( class_Groups_Oab__semigroup__mult(T_a)
% 172.05/172.06 => ( c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2,V_y_2)
% 172.05/172.06 => ( ~ c_member(T_a,V_b_2,V_A_2)
% 172.05/172.06 => c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_z_2,c_Set_Oinsert(T_a,V_b_2,V_A_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2),V_y_2)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_fold1Set__sing,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_f_2,T_a] :
% 172.05/172.06 ( c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_b_2)
% 172.05/172.06 <=> V_a_2 = V_b_2 ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__less__real__le,axiom,
% 172.05/172.06 ! [V_m_2,V_n_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_m_2)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__le__real__less,axiom,
% 172.05/172.06 ! [V_m_2,V_n_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2)
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__natfloor__add__one__gt,axiom,
% 172.05/172.06 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__natfloor__eq__one,axiom,
% 172.05/172.06 ! [V_xa_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_xa_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natceiling__le__eq__one,axiom,
% 172.05/172.06 ! [V_xa_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_sum__squares__gt__zero__iff,axiom,
% 172.05/172.06 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))
% 172.05/172.06 <=> ( V_xa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_not__sum__squares__lt__zero,axiom,
% 172.05/172.06 ! [V_y,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring(T_a)
% 172.05/172.06 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_sum__squares__le__zero__iff,axiom,
% 172.05/172.06 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)),c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__eq__self__zero,axiom,
% 172.05/172.06 ! [V_n,V_m] :
% 172.05/172.06 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 172.05/172.06 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__is__0,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2] :
% 172.05/172.06 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Nat_Oadd__0__right,axiom,
% 172.05/172.06 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 172.05/172.06
% 172.05/172.06 fof(fact_plus__nat_Oadd__0,axiom,
% 172.05/172.06 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__eq__if,axiom,
% 172.05/172.06 ! [V_n,V_m] :
% 172.05/172.06 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 172.05/172.06 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__eq__1__iff,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2] :
% 172.05/172.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 172.05/172.06 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 172.05/172.06 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__1__right,axiom,
% 172.05/172.06 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__1__eq__mult__iff,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2] :
% 172.05/172.06 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 172.05/172.06 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 172.05/172.06 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__1,axiom,
% 172.05/172.06 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 172.05/172.06
% 172.05/172.06 fof(fact_not__add__less1,axiom,
% 172.05/172.06 ! [V_j,V_i] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_i) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_not__add__less2,axiom,
% 172.05/172.06 ! [V_i,V_j] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_i) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__add__left__cancel__less,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_trans__less__add1,axiom,
% 172.05/172.06 ! [V_m,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_trans__less__add2,axiom,
% 172.05/172.06 ! [V_m,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_termination__basic__simps_I1_J,axiom,
% 172.05/172.06 ! [V_z,V_y,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_termination__basic__simps_I2_J,axiom,
% 172.05/172.06 ! [V_y,V_z,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__less__mono1,axiom,
% 172.05/172.06 ! [V_k,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__less__mono,axiom,
% 172.05/172.06 ! [V_l,V_k,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_less__add__eq__less,axiom,
% 172.05/172.06 ! [V_n,V_m,V_l,V_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__lessD1,axiom,
% 172.05/172.06 ! [V_k,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__leE,axiom,
% 172.05/172.06 ! [V_n,V_k,V_m] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 172.05/172.06 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 172.05/172.06 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__leD1,axiom,
% 172.05/172.06 ! [V_n,V_k,V_m] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__leD2,axiom,
% 172.05/172.06 ! [V_n,V_k,V_m] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__le__mono,axiom,
% 172.05/172.06 ! [V_l,V_k,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__le__mono1,axiom,
% 172.05/172.06 ! [V_k,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_termination__basic__simps_I4_J,axiom,
% 172.05/172.06 ! [V_y,V_z,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_termination__basic__simps_I3_J,axiom,
% 172.05/172.06 ! [V_z,V_y,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_trans__le__add2,axiom,
% 172.05/172.06 ! [V_m,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_trans__le__add1,axiom,
% 172.05/172.06 ! [V_m,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__add__left__cancel__le,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__iff__add,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 172.05/172.06 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__add1,axiom,
% 172.05/172.06 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__add2,axiom,
% 172.05/172.06 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__commute,axiom,
% 172.05/172.06 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__mult__distrib2,axiom,
% 172.05/172.06 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__assoc,axiom,
% 172.05/172.06 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__mult__distrib,axiom,
% 172.05/172.06 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__mult__commute,axiom,
% 172.05/172.06 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__mult__assoc,axiom,
% 172.05/172.06 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__cancel2,axiom,
% 172.05/172.06 ! [V_n,V_k,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__cancel,axiom,
% 172.05/172.06 ! [V_n,V_m,V_k] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__diff__left,axiom,
% 172.05/172.06 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__add__inverse,axiom,
% 172.05/172.06 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n) = V_m ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__add__inverse2,axiom,
% 172.05/172.06 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__gr__0,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2))
% 172.05/172.06 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 172.05/172.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__add__0,axiom,
% 172.05/172.06 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__diff__inverse,axiom,
% 172.05/172.06 ! [V_n,V_m] :
% 172.05/172.06 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_less__diff__conv,axiom,
% 172.05/172.06 ! [V_k_2,V_j_2,V_i_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__diff__right,axiom,
% 172.05/172.06 ! [V_i,V_j,V_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 172.05/172.06 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__diff__conv,axiom,
% 172.05/172.06 ! [V_i_2,V_k_2,V_j_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2),V_i_2)
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__add__diff,axiom,
% 172.05/172.06 ! [V_m,V_n,V_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_k)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__add__diff__inverse,axiom,
% 172.05/172.06 ! [V_m,V_n] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__diff__assoc,axiom,
% 172.05/172.06 ! [V_i,V_j,V_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__diff__conv2,axiom,
% 172.05/172.06 ! [V_i_2,V_j_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_j_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__add__diff__inverse2,axiom,
% 172.05/172.06 ! [V_m,V_n] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__imp__diff__is__add,axiom,
% 172.05/172.06 ! [V_k_2,V_j_2,V_i_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 172.05/172.06 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_k_2
% 172.05/172.06 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__add__assoc,axiom,
% 172.05/172.06 ! [V_i,V_j,V_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 172.05/172.06 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__diff__assoc2,axiom,
% 172.05/172.06 ! [V_i,V_j,V_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_diff__add__assoc2,axiom,
% 172.05/172.06 ! [V_i,V_j,V_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 172.05/172.06 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__of__nat__add,axiom,
% 172.05/172.06 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__diff__split,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_Pa_2] :
% 172.05/172.06 ( hBOOL(hAPP(V_Pa_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2)))
% 172.05/172.06 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)
% 172.05/172.06 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 172.05/172.06 & ! [B_d] :
% 172.05/172.06 ( V_a_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 172.05/172.06 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__diff__split__asm,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,V_Pa_2] :
% 172.05/172.06 ( hBOOL(hAPP(V_Pa_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2)))
% 172.05/172.06 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)
% 172.05/172.06 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 172.05/172.06 | ? [B_d] :
% 172.05/172.06 ( V_a_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 172.05/172.06 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_ge__natfloor__plus__one__imp__gt,axiom,
% 172.05/172.06 ! [V_n,V_z] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_z),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natfloor__add__one,axiom,
% 172.05/172.06 ! [V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.06 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natfloor__add,axiom,
% 172.05/172.06 ! [V_a,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.06 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natceiling__add__one,axiom,
% 172.05/172.06 ! [V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.06 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natceiling__add,axiom,
% 172.05/172.06 ! [V_a,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.06 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natceiling__eq,axiom,
% 172.05/172.06 ! [V_x,V_n] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 172.05/172.06 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_sum__squares__eq__zero__iff,axiom,
% 172.05/172.06 ! [V_y_2,V_xa_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring__strict(T_a)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_sum__squares__ge__zero,axiom,
% 172.05/172.06 ! [V_y,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__ring(T_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__less__add__iff2,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__less__add__iff1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_m_2),V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__add__commute,axiom,
% 172.05/172.06 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__add__left__commute,axiom,
% 172.05/172.06 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,V_z)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__add__assoc,axiom,
% 172.05/172.06 ! [V_k,V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__add__left__cancel,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_m_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2)
% 172.05/172.06 <=> V_m_2 = V_n_2 ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__add__right__cancel,axiom,
% 172.05/172.06 ! [V_n_2,V_k_2,V_m_2] :
% 172.05/172.06 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_k_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_k_2)
% 172.05/172.06 <=> V_m_2 = V_n_2 ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_left__add__mult__distrib,axiom,
% 172.05/172.06 ! [V_k,V_j,V_u,V_i] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_k)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j)),V_u),V_k) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 172.05/172.06 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 | V_m_2 = V_n_2 ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__less__cancel1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__eq__cancel1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 172.05/172.06 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 172.05/172.06 <=> V_m_2 = V_n_2 ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__eq__add__iff2,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_m_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)
% 172.05/172.06 <=> V_m_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__diff__add__eq2,axiom,
% 172.05/172.06 ! [V_n,V_m,V_u,V_j,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 172.05/172.06 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_i)),V_u),V_n)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__le__add__iff2,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__eq__add__iff1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_m_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)
% 172.05/172.06 <=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_m_2) = V_n_2 ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__diff__add__eq1,axiom,
% 172.05/172.06 ! [V_n,V_m,V_u,V_i,V_j] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i)
% 172.05/172.06 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j)),V_u),V_m),V_n) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__le__add__iff1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_m_2),V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__mult__le__cancel1,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_not__real__square__gt__zero,axiom,
% 172.05/172.06 ! [V_xa_2] :
% 172.05/172.06 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2))
% 172.05/172.06 <=> V_xa_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 172.05/172.06 ! [V_m,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,V_m,V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 172.05/172.06 ! [V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 172.05/172.06 ! [V_ry,V_rx,V_lx,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 172.05/172.06 ! [V_ry,V_rx,V_lx,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 172.05/172.06 ! [V_rx,V_ly,V_lx,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 172.05/172.06 ! [V_rx,V_ly,V_lx,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 172.05/172.06 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 172.05/172.06 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 172.05/172.06 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 172.05/172.06 ! [V_c,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 172.05/172.06 ! [V_d,V_c,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Groups_Oplus__class_Oplus(T_a,V_a,V_d)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 172.05/172.06 ! [V_d,V_c,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_d) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_b) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__0__iff,axiom,
% 172.05/172.06 ! [V_a_2,V_b_2,T_a] :
% 172.05/172.06 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 172.05/172.06 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2)
% 172.05/172.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 172.05/172.06 ! [V_z,V_y,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_crossproduct__noteq,axiom,
% 172.05/172.06 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 172.05/172.06 => ( ( V_a_2 != V_b_2
% 172.05/172.06 & V_c_2 != V_d_2 )
% 172.05/172.06 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 172.05/172.06 ! [V_c,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 172.05/172.06 ! [V_b,V_m,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_crossproduct__eq,axiom,
% 172.05/172.06 ! [V_z_2,V_xa_2,V_y_2,V_w_2,T_a] :
% 172.05/172.06 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_y_2))
% 172.05/172.06 <=> ( V_w_2 = V_xa_2
% 172.05/172.06 | V_y_2 = V_z_2 ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_add__scale__eq__noteq,axiom,
% 172.05/172.06 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 172.05/172.06 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 172.05/172.06 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 => ( ( V_a = V_b
% 172.05/172.06 & V_c != V_d )
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 172.05/172.06 ! [V_m,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 172.05/172.06 ! [V_a,V_m,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult_Oprod__diff__prod,axiom,
% 172.05/172.06 ! [V_b,V_a,V_y,V_x,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b))) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_even__less__0__iff,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__idom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult_Ozero__left,axiom,
% 172.05/172.06 ! [V_b,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left_Ozero,axiom,
% 172.05/172.06 ! [V_y,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult_Ozero__right,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right_Ozero,axiom,
% 172.05/172.06 ! [V_x,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_double__eq__0__iff,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Groups_Olinordered__ab__group__add(T_a)
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left_Oadd,axiom,
% 172.05/172.06 ! [V_ya,V_y,V_x,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),V_ya) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult_Oadd__left,axiom,
% 172.05/172.06 ! [V_b,V_a_H,V_a,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right_Oadd,axiom,
% 172.05/172.06 ! [V_y,V_x,V_xa,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult_Oadd__right,axiom,
% 172.05/172.06 ! [V_b_H,V_b,V_a,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult_Odiff__right,axiom,
% 172.05/172.06 ! [V_b_H,V_b,V_a,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_b,V_b_H)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__right_Odiff,axiom,
% 172.05/172.06 ! [V_y,V_x,V_xa,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult_Odiff__left,axiom,
% 172.05/172.06 ! [V_b,V_a_H,V_a,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a,V_a_H)),V_b) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_mult__left_Odiff,axiom,
% 172.05/172.06 ! [V_ya,V_y,V_x,T_a] :
% 172.05/172.06 ( class_RealVector_Oreal__normed__algebra(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),V_ya) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_reals__Archimedean6,axiom,
% 172.05/172.06 ! [V_r] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 172.05/172.06 => ? [B_n] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_r)
% 172.05/172.06 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,B_n)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_le__Suc__ex__iff,axiom,
% 172.05/172.06 ! [V_l_2,V_k_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_l_2)
% 172.05/172.06 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__odd__less__0,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__idom(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 172.05/172.06 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_ex__least__nat__less,axiom,
% 172.05/172.06 ! [V_n_2,V_Pa_2] :
% 172.05/172.06 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 172.05/172.06 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 172.05/172.06 => ? [B_k] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_n_2)
% 172.05/172.06 & ! [B_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,B_k)
% 172.05/172.06 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 172.05/172.06 & hBOOL(hAPP(V_Pa_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_k,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__0,axiom,
% 172.05/172.06 ! [T_a] :
% 172.05/172.06 ( class_Rings_Oring__1(T_a)
% 172.05/172.06 => c_member(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Oring__1__class_OInts(T_a)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__mult,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oring__1(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => ( c_member(T_a,V_b_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => c_member(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Int_Oring__1__class_OInts(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__add,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oring__1(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => ( c_member(T_a,V_b_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => c_member(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2),c_Int_Oring__1__class_OInts(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__diff,axiom,
% 172.05/172.06 ! [V_b_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oring__1(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => ( c_member(T_a,V_b_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => c_member(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Int_Oring__1__class_OInts(T_a)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__1,axiom,
% 172.05/172.06 ! [T_a] :
% 172.05/172.06 ( class_Rings_Oring__1(T_a)
% 172.05/172.06 => c_member(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Oring__1__class_OInts(T_a)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__real__of__nat,axiom,
% 172.05/172.06 ! [V_n_2] : c_member(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Int_Oring__1__class_OInts(tc_RealDef_Oreal)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__double__eq__0__iff,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Int_Oring__char__0(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__odd__nonzero,axiom,
% 172.05/172.06 ! [V_a_2,T_a] :
% 172.05/172.06 ( class_Int_Oring__char__0(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2),V_a_2) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom,
% 172.05/172.06 ! [V_n,V_x] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),V_n)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_fold1Set_Oequations,axiom,
% 172.05/172.06 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_a] :
% 172.05/172.06 ( c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Set_Oinsert(T_a,V_a1_2,V_a2_2),V_a3_2)
% 172.05/172.06 <=> ? [B_a,B_A] :
% 172.05/172.06 ( c_Set_Oinsert(T_a,V_a1_2,V_a2_2) = c_Set_Oinsert(T_a,B_a,B_A)
% 172.05/172.06 & c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A,V_a3_2)
% 172.05/172.06 & ~ c_member(T_a,B_a,B_A) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_Ints__power,axiom,
% 172.05/172.06 ! [V_n_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Oring__1(T_a)
% 172.05/172.06 => ( c_member(T_a,V_a_2,c_Int_Oring__1__class_OInts(T_a))
% 172.05/172.06 => c_member(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2),c_Int_Oring__1__class_OInts(T_a)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 172.05/172.06 ! [V_x,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 172.05/172.06 ! [V_x,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 172.05/172.06 ! [V_q,V_y,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 172.05/172.06 ! [V_q,V_p,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 172.05/172.06 ! [V_q,V_p,V_x,T_a] :
% 172.05/172.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_p,V_q)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_realpow__minus__mult,axiom,
% 172.05/172.06 ! [V_x,V_n,T_a] :
% 172.05/172.06 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_realpow__num__eq__if,axiom,
% 172.05/172.06 ! [V_m,V_n,T_a] :
% 172.05/172.06 ( class_Power_Opower(T_a)
% 172.05/172.06 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 172.05/172.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__strict__mono,axiom,
% 172.05/172.06 ! [V_n,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zpower__zpower,axiom,
% 172.05/172.06 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zpower__zadd__distrib,axiom,
% 172.05/172.06 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_real__of__nat__power,axiom,
% 172.05/172.06 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__real__of__nat,axiom,
% 172.05/172.06 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__zero__less__power__iff,axiom,
% 172.05/172.06 ! [V_n_2,V_xa_2] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))
% 172.05/172.06 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2)
% 172.05/172.06 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_nat__power__less__imp__less,axiom,
% 172.05/172.06 ! [V_n,V_m,V_i] :
% 172.05/172.06 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))
% 172.05/172.06 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_natfloor__power,axiom,
% 172.05/172.06 ! [V_n,V_x] :
% 172.05/172.06 ( V_x = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))
% 172.05/172.06 => c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__eq__if,axiom,
% 172.05/172.06 ! [V_p,V_m] :
% 172.05/172.06 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 172.05/172.06 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_field__power__not__zero,axiom,
% 172.05/172.06 ! [V_n,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 172.05/172.06 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__mult__distrib,axiom,
% 172.05/172.06 ! [V_n,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Ocomm__monoid__mult(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__commutes,axiom,
% 172.05/172.06 ! [V_n,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__one,axiom,
% 172.05/172.06 ! [V_n,T_a] :
% 172.05/172.06 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__mult,axiom,
% 172.05/172.06 ! [V_n,V_m,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__one__right,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__mono,axiom,
% 172.05/172.06 ! [V_n,V_b,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__le__power,axiom,
% 172.05/172.06 ! [V_n,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_zero__less__power,axiom,
% 172.05/172.06 ! [V_n,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_one__le__power,axiom,
% 172.05/172.06 ! [V_n,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.06 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__eq__0__iff,axiom,
% 172.05/172.06 ! [V_n_2,V_a_2,T_a] :
% 172.05/172.06 ( ( class_Power_Opower(T_a)
% 172.05/172.06 & class_Rings_Omult__zero(T_a)
% 172.05/172.06 & class_Rings_Ono__zero__divisors(T_a)
% 172.05/172.06 & class_Rings_Ozero__neq__one(T_a) )
% 172.05/172.06 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 172.05/172.06 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__inject__exp,axiom,
% 172.05/172.06 ! [V_n_2,V_m_2,V_a_2,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)
% 172.05/172.06 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)
% 172.05/172.06 <=> V_m_2 = V_n_2 ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__0,axiom,
% 172.05/172.06 ! [V_a,T_a] :
% 172.05/172.06 ( class_Power_Opower(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__add,axiom,
% 172.05/172.06 ! [V_n,V_m,V_a,T_a] :
% 172.05/172.06 ( class_Groups_Omonoid__mult(T_a)
% 172.05/172.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__less__imp__less__base,axiom,
% 172.05/172.06 ! [V_b,V_n,V_a,T_a] :
% 172.05/172.06 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))
% 172.05/172.06 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.06 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 172.05/172.06
% 172.05/172.06 fof(fact_power__gt1__lemma,axiom,
% 172.05/172.06 ! [V_n,V_a,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__less__power__Suc,axiom,
% 172.05/172.07 ! [V_n,V_a,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__0__left,axiom,
% 172.05/172.07 ! [V_n,T_a] :
% 172.05/172.07 ( ( class_Power_Opower(T_a)
% 172.05/172.07 & class_Rings_Osemiring__0(T_a) )
% 172.05/172.07 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.07 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 172.05/172.07 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.07 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__strict__increasing,axiom,
% 172.05/172.07 ! [V_a,V_N,V_n,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__less__imp__less__exp,axiom,
% 172.05/172.07 ! [V_n,V_m,V_a,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__strict__increasing__iff,axiom,
% 172.05/172.07 ! [V_y_2,V_xa_2,V_b_2,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_y_2) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__increasing,axiom,
% 172.05/172.07 ! [V_a,V_N,V_n,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__Suc__less,axiom,
% 172.05/172.07 ! [V_n,V_a,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 172.05/172.07 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__strict__decreasing,axiom,
% 172.05/172.07 ! [V_a,V_N,V_n,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 172.05/172.07 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__eq__imp__eq__base,axiom,
% 172.05/172.07 ! [V_b,V_n,V_a,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 172.05/172.07 => V_a = V_b ) ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__decreasing,axiom,
% 172.05/172.07 ! [V_a,V_N,V_n,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__increasing__iff,axiom,
% 172.05/172.07 ! [V_y_2,V_xa_2,V_b_2,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_xa_2,V_y_2) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__le__imp__le__exp,axiom,
% 172.05/172.07 ! [V_n,V_m,V_a,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_one__less__power,axiom,
% 172.05/172.07 ! [V_n,V_a,T_a] :
% 172.05/172.07 ( class_Rings_Olinordered__semidom(T_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power__power__power,axiom,
% 172.05/172.07 ! [T_a] :
% 172.05/172.07 ( class_Power_Opower(T_a)
% 172.05/172.07 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zero__less__power__nat__eq,axiom,
% 172.05/172.07 ! [V_n_2,V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))
% 172.05/172.07 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 172.05/172.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zmult__zless__mono2,axiom,
% 172.05/172.07 ! [V_k,V_j,V_i] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_pos__zmult__eq__1__iff,axiom,
% 172.05/172.07 ! [V_n_2,V_m_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)
% 172.05/172.07 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 172.05/172.07 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 172.05/172.07 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zmult__1,axiom,
% 172.05/172.07 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zmult__1__right,axiom,
% 172.05/172.07 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zmult__assoc,axiom,
% 172.05/172.07 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zmult__commute,axiom,
% 172.05/172.07 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zdiff__zmult__distrib2,axiom,
% 172.05/172.07 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zdiff__zmult__distrib,axiom,
% 172.05/172.07 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__zmult__distrib2,axiom,
% 172.05/172.07 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__zmult__distrib,axiom,
% 172.05/172.07 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_power_Opower_Opower__0,axiom,
% 172.05/172.07 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 172.05/172.07
% 172.05/172.07 fof(fact_realpow__pos__nth__unique,axiom,
% 172.05/172.07 ! [V_a,V_n] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 172.05/172.07 => ? [B_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_x)
% 172.05/172.07 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_x),V_n) = V_a
% 172.05/172.07 & ! [B_y] :
% 172.05/172.07 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_y)
% 172.05/172.07 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_y),V_n) = V_a )
% 172.05/172.07 => B_y = B_x ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_realpow__pos__nth,axiom,
% 172.05/172.07 ! [V_a,V_n] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 172.05/172.07 => ? [B_r] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)
% 172.05/172.07 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_r),V_n) = V_a ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_odd__nonzero,axiom,
% 172.05/172.07 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__0,axiom,
% 172.05/172.07 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__0__right,axiom,
% 172.05/172.07 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 172.05/172.07
% 172.05/172.07 fof(fact_le__imp__0__less,axiom,
% 172.05/172.07 ! [V_z] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_odd__less__0,axiom,
% 172.05/172.07 ! [V_z_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zless__imp__add1__zle,axiom,
% 172.05/172.07 ! [V_z,V_w] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_add1__zle__eq,axiom,
% 172.05/172.07 ! [V_z_2,V_w_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zless__add1__eq,axiom,
% 172.05/172.07 ! [V_z_2,V_w_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 172.05/172.07 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)
% 172.05/172.07 | V_w_2 = V_z_2 ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zle__add1__eq__le,axiom,
% 172.05/172.07 ! [V_z_2,V_w_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__strict__right__mono,axiom,
% 172.05/172.07 ! [V_k,V_j,V_i] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_j,V_k)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__zless__mono,axiom,
% 172.05/172.07 ! [V_z,V_z_H,V_w,V_w_H] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_H,V_z_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__assoc,axiom,
% 172.05/172.07 ! [V_z3,V_z2,V_z1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2),V_z3) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z2,V_z3)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__left__commute,axiom,
% 172.05/172.07 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_z)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__commute,axiom,
% 172.05/172.07 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zadd__left__mono,axiom,
% 172.05/172.07 ! [V_k,V_j,V_i] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_i),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_j)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zless__linear,axiom,
% 172.05/172.07 ! [V_y,V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 172.05/172.07 | V_x = V_y
% 172.05/172.07 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zless__le,axiom,
% 172.05/172.07 ! [V_w_2,V_z_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)
% 172.05/172.07 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)
% 172.05/172.07 & V_z_2 != V_w_2 ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_less__bin__lemma,axiom,
% 172.05/172.07 ! [V_l_2,V_k_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zle__diff1__eq,axiom,
% 172.05/172.07 ! [V_z_2,V_w_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_int__0__less__1,axiom,
% 172.05/172.07 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_int__one__le__iff__zero__less,axiom,
% 172.05/172.07 ! [V_z_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_int__0__neq__1,axiom,
% 172.05/172.07 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_self__quotient__aux2,axiom,
% 172.05/172.07 ! [V_q,V_r,V_a] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 172.05/172.07 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_self__quotient__aux1,axiom,
% 172.05/172.07 ! [V_q,V_r,V_a] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 172.05/172.07 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zle__refl,axiom,
% 172.05/172.07 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zle__linear,axiom,
% 172.05/172.07 ! [V_w,V_z] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 172.05/172.07 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zle__trans,axiom,
% 172.05/172.07 ! [V_k,V_j,V_i] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zle__antisym,axiom,
% 172.05/172.07 ! [V_w,V_z] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 172.05/172.07 => V_z = V_w ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 172.05/172.07 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 172.05/172.07 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_unique__quotient__lemma__neg,axiom,
% 172.05/172.07 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_zdiv__mono2__lemma,axiom,
% 172.05/172.07 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 172.05/172.07 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_unique__quotient__lemma,axiom,
% 172.05/172.07 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_q__neg__lemma,axiom,
% 172.05/172.07 ! [V_r_H,V_q_H,V_b_H] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_q__pos__lemma,axiom,
% 172.05/172.07 ! [V_r_H,V_q_H,V_b_H] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 172.05/172.07 ! [V_n,V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 172.05/172.07 ! [V_y,V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 172.05/172.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 172.05/172.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 172.05/172.07 ! [V_y,V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_tsub__def,axiom,
% 172.05/172.07 ! [V_x,V_y] :
% 172.05/172.07 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 172.05/172.07 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) )
% 172.05/172.07 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 172.05/172.07 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__realpow,axiom,
% 172.05/172.07 ! [V_n,V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_Transcendental_Oln(V_x)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__less__self,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),V_x) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__inj__iff,axiom,
% 172.05/172.07 ! [V_y_2,V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2)
% 172.05/172.07 => ( c_Transcendental_Oln(V_xa_2) = c_Transcendental_Oln(V_y_2)
% 172.05/172.07 <=> V_xa_2 = V_y_2 ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__less__cancel__iff,axiom,
% 172.05/172.07 ! [V_y_2,V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_xa_2),c_Transcendental_Oln(V_y_2))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__one,axiom,
% 172.05/172.07 c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__le__cancel__iff,axiom,
% 172.05/172.07 ! [V_y_2,V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(V_xa_2),c_Transcendental_Oln(V_y_2))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__ge__zero,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__gt__zero,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__gt__zero__iff,axiom,
% 172.05/172.07 ! [V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_xa_2))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__eq__zero__iff,axiom,
% 172.05/172.07 ! [V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.07 => ( c_Transcendental_Oln(V_xa_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 172.05/172.07 <=> V_xa_2 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__less__zero__iff,axiom,
% 172.05/172.07 ! [V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_xa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__less__zero,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__gt__zero__imp__gt__one,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__ge__zero__imp__ge__one,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x))
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__ge__zero__iff,axiom,
% 172.05/172.07 ! [V_xa_2] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_xa_2))
% 172.05/172.07 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__mult,axiom,
% 172.05/172.07 ! [V_y,V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 172.05/172.07 => c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_ln__add__one__self__le__self,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)),V_x) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 172.05/172.07 ! [V_y,V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 172.05/172.07 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 172.05/172.07 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_tsub__eq,axiom,
% 172.05/172.07 ! [V_x,V_y] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 172.05/172.07 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_insert__fold1SetE,axiom,
% 172.05/172.07 ! [V_xa_2,V_X_2,V_a_2,V_f_2,T_a] :
% 172.05/172.07 ( c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Set_Oinsert(T_a,V_a_2,V_X_2),V_xa_2)
% 172.05/172.07 => ~ ! [B_a,B_A] :
% 172.05/172.07 ( c_Set_Oinsert(T_a,V_a_2,V_X_2) = c_Set_Oinsert(T_a,B_a,B_A)
% 172.05/172.07 => ( c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A,V_xa_2)
% 172.05/172.07 => c_member(T_a,B_a,B_A) ) ) ) ).
% 172.05/172.07
% 172.05/172.07 fof(fact_reals__Archimedean3,axiom,
% 172.05/172.07 ! [V_x] :
% 172.05/172.07 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 172.05/172.07 => ! [B_y] :
% 172.05/172.07 ? [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B_n)),V_x)) ) ).
% 172.05/172.07
% 172.05/172.07 %----Arity declarations (194)
% 172.05/172.07 fof(arity_Limits__Onet__Lattices_Obounded__lattice,axiom,
% 172.05/172.07 ! [T_1] : class_Lattices_Obounded__lattice(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 172.05/172.07 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Lattices_Obounded__lattice(T_1)
% 172.05/172.07 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 172.05/172.07 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Lattices_Obounded__lattice(T_1)
% 172.05/172.07 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Lattices_Obounded__lattice(T_1)
% 172.05/172.07 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Lattices_Olattice(T_1)
% 172.05/172.07 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Lattices_Olattice(T_1)
% 172.05/172.07 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Lattices_Odistrib__lattice(T_1)
% 172.05/172.07 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Orderings_Opreorder,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Orderings_Opreorder(T_1)
% 172.05/172.07 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Lattices_Olattice,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Lattices_Olattice(T_1)
% 172.05/172.07 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Orderings_Oorder,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Orderings_Oorder(T_1)
% 172.05/172.07 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Orderings_Otop,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Orderings_Otop(T_1)
% 172.05/172.07 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Orderings_Oord,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Orderings_Oord(T_1)
% 172.05/172.07 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Orderings_Obot,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Orderings_Obot(T_1)
% 172.05/172.07 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_fun__Groups_Ominus,axiom,
% 172.05/172.07 ! [T_2,T_1] :
% 172.05/172.07 ( class_Groups_Ominus(T_1)
% 172.05/172.07 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 172.05/172.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 172.05/172.07 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 172.05/172.07 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 172.05/172.07 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 172.05/172.07 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 172.05/172.07 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 172.05/172.07 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 172.05/172.07 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 172.05/172.07 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 172.05/172.07 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 172.05/172.07 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 172.05/172.07 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 172.05/172.07 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 172.05/172.07 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 172.05/172.07 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 172.05/172.07 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 172.05/172.07 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 172.05/172.07 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 172.05/172.07 class_Orderings_Opreorder(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 172.05/172.07 class_Orderings_Olinorder(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 172.05/172.07 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 172.05/172.07 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 172.05/172.07 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 172.05/172.07 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 172.05/172.07 class_Lattices_Olattice(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 172.05/172.07 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 172.05/172.07 class_Rings_Omult__zero(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 172.05/172.07 class_Orderings_Oorder(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 172.05/172.07 class_Int_Oring__char__0(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 172.05/172.07 class_Rings_Osemiring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 172.05/172.07 class_Orderings_Oord(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 172.05/172.07 class_Rings_Oring__1(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 172.05/172.07 class_Groups_Ominus(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Power_Opower,axiom,
% 172.05/172.07 class_Power_Opower(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 172.05/172.07 class_Groups_Ozero(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Rings_Oring,axiom,
% 172.05/172.07 class_Rings_Oring(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__Groups_Oone,axiom,
% 172.05/172.07 class_Groups_Oone(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Int__Oint__GCD_Ogcd,axiom,
% 172.05/172.07 class_GCD_Ogcd(tc_Int_Oint) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 172.05/172.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 172.05/172.07 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 172.05/172.07 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 172.05/172.07 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 172.05/172.07 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 172.05/172.07 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 172.05/172.07 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 172.05/172.07 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 172.05/172.07 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 172.05/172.07 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 172.05/172.07 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 172.05/172.07 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 172.05/172.07 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 172.05/172.07 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 172.05/172.07 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 172.05/172.07 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 172.05/172.07 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 172.05/172.07 class_Lattices_Olattice(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 172.05/172.07 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 172.05/172.07 class_Orderings_Oorder(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 172.05/172.07 class_Rings_Osemiring(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 172.05/172.07 class_Orderings_Oord(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 172.05/172.07 class_Orderings_Obot(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 172.05/172.07 class_Groups_Ominus(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Power_Opower,axiom,
% 172.05/172.07 class_Power_Opower(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 172.05/172.07 class_Groups_Ozero(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 172.05/172.07 class_Groups_Oone(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Nat__Onat__GCD_Ogcd,axiom,
% 172.05/172.07 class_GCD_Ogcd(tc_Nat_Onat) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 172.05/172.07 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 172.05/172.07 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 172.05/172.07 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 172.05/172.07 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 172.05/172.07 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 172.05/172.07 class_Lattices_Olattice(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 172.05/172.07 class_Orderings_Oorder(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 172.05/172.07 class_Orderings_Otop(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 172.05/172.07 class_Orderings_Oord(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 172.05/172.07 class_Orderings_Obot(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 172.05/172.07 class_Groups_Ominus(tc_HOL_Obool) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Complete__Lattice_Ocomplete__lattice,axiom,
% 172.05/172.07 ! [T_1] : class_Complete__Lattice_Ocomplete__lattice(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Lattices_Obounded__lattice__top,axiom,
% 172.05/172.07 ! [T_1] : class_Lattices_Obounded__lattice__top(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Lattices_Obounded__lattice__bot,axiom,
% 172.05/172.07 ! [T_1] : class_Lattices_Obounded__lattice__bot(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Lattices_Osemilattice__sup,axiom,
% 172.05/172.07 ! [T_1] : class_Lattices_Osemilattice__sup(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Lattices_Osemilattice__inf,axiom,
% 172.05/172.07 ! [T_1] : class_Lattices_Osemilattice__inf(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Orderings_Opreorder,axiom,
% 172.05/172.07 ! [T_1] : class_Orderings_Opreorder(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Lattices_Olattice,axiom,
% 172.05/172.07 ! [T_1] : class_Lattices_Olattice(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Orderings_Oorder,axiom,
% 172.05/172.07 ! [T_1] : class_Orderings_Oorder(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Orderings_Otop,axiom,
% 172.05/172.07 ! [T_1] : class_Orderings_Otop(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Orderings_Oord,axiom,
% 172.05/172.07 ! [T_1] : class_Orderings_Oord(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_Limits__Onet__Orderings_Obot,axiom,
% 172.05/172.07 ! [T_1] : class_Orderings_Obot(tc_Limits_Onet(T_1)) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 172.05/172.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 172.05/172.07 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
% 172.05/172.07 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
% 172.05/172.07 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
% 172.05/172.07 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
% 172.05/172.07 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
% 172.05/172.07 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
% 172.05/172.07 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,
% 172.05/172.07 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
% 172.05/172.07 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Lattices_Osemilattice__sup,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__sup(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Lattices_Osemilattice__inf,axiom,
% 172.05/172.07 class_Lattices_Osemilattice__inf(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom,
% 172.05/172.07 class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
% 172.05/172.07 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
% 172.05/172.07 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
% 172.05/172.07 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
% 172.05/172.07 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
% 172.05/172.07 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
% 172.05/172.07 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
% 172.05/172.07 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
% 172.05/172.07 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
% 172.05/172.07 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
% 172.05/172.07 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
% 172.05/172.07 class_Groups_Oab__group__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
% 172.05/172.07 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
% 172.05/172.07 class_Rings_Oordered__ring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 172.05/172.07 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 172.05/172.07 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
% 172.05/172.07 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
% 172.05/172.07 class_Groups_Omonoid__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Osemiring__1,axiom,
% 172.05/172.07 class_Rings_Osemiring__1(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
% 172.05/172.07 class_Rings_Osemiring__0(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Lattices_Olattice,axiom,
% 172.05/172.07 class_Lattices_Olattice(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
% 172.05/172.07 class_Groups_Ogroup__add(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
% 172.05/172.07 class_Rings_Omult__zero(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
% 172.05/172.07 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 172.05/172.07 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
% 172.05/172.07 class_Rings_Osemiring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
% 172.05/172.07 class_Orderings_Oord(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
% 172.05/172.07 class_Rings_Oring__1(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Ominus,axiom,
% 172.05/172.07 class_Groups_Ominus(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Power_Opower,axiom,
% 172.05/172.07 class_Power_Opower(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
% 172.05/172.07 class_Groups_Ozero(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Rings_Oring,axiom,
% 172.05/172.07 class_Rings_Oring(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 fof(arity_RealDef__Oreal__Groups_Oone,axiom,
% 172.05/172.07 class_Groups_Oone(tc_RealDef_Oreal) ).
% 172.05/172.07
% 172.05/172.07 %----Helper facts (2)
% 172.05/172.07 fof(help_c__fequal__1,axiom,
% 172.05/172.07 ! [V_y_2,V_x_2] :
% 172.05/172.07 ( ~ hBOOL(hAPP(c_fequal(V_x_2),V_y_2))
% 172.05/172.07 | V_x_2 = V_y_2 ) ).
% 172.05/172.07
% 172.05/172.07 fof(help_c__fequal__2,axiom,
% 172.05/172.07 ! [V_y_2,V_x_2] :
% 172.05/172.07 ( V_x_2 != V_y_2
% 172.05/172.07 | hBOOL(hAPP(c_fequal(V_x_2),V_y_2)) ) ).
% 172.05/172.07
% 172.05/172.07 %----Conjectures (1)
% 172.05/172.07 fof(conj_0,conjecture,
% 172.05/172.07 ? [B_x1] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),B_x1)) ).
% 172.05/172.07
% 172.05/172.07 %------------------------------------------------------------------------------
% 172.05/172.07 %-------------------------------------------
% 172.05/172.07 % Proof found
% 172.05/172.07 % SZS status Theorem for theBenchmark
% 172.05/172.07 % SZS output start Proof
% 172.05/172.07 %ClaNum:1910(EqnAxiom:380)
% 172.05/172.07 %VarNum:9368(SingletonVarNum:3364)
% 172.05/172.07 %MaxLitNum:7
% 172.05/172.07 %MaxfuncDepth:6
% 172.05/172.07 %SharedTerms:224
% 172.05/172.07 %goalClause: 753
% 172.05/172.07 %singleGoalClaCount:1
% 172.05/172.07 [381]P1(a1)
% 172.05/172.07 [382]P2(a109)
% 172.05/172.07 [383]P2(a1)
% 172.05/172.07 [384]P2(a110)
% 172.05/172.07 [385]P2(a111)
% 172.05/172.07 [386]P3(a1)
% 172.05/172.07 [387]P48(a109)
% 172.05/172.07 [388]P48(a1)
% 172.05/172.07 [389]P48(a110)
% 172.05/172.07 [390]P48(a111)
% 172.05/172.07 [391]P17(a109)
% 172.05/172.07 [392]P17(a110)
% 172.05/172.07 [393]P17(a111)
% 172.05/172.07 [394]P49(a109)
% 172.05/172.07 [395]P49(a1)
% 172.05/172.07 [396]P49(a110)
% 172.05/172.07 [397]P49(a111)
% 172.05/172.07 [398]P50(a109)
% 172.05/172.07 [399]P50(a111)
% 172.05/172.07 [400]P18(a1)
% 172.05/172.07 [401]P18(a110)
% 172.05/172.07 [402]P19(a109)
% 172.05/172.07 [403]P19(a1)
% 172.05/172.07 [404]P19(a110)
% 172.05/172.07 [405]P19(a111)
% 172.05/172.07 [406]P20(a1)
% 172.05/172.07 [407]P46(a109)
% 172.05/172.07 [408]P46(a1)
% 172.05/172.07 [409]P46(a110)
% 172.05/172.07 [410]P46(a111)
% 172.05/172.07 [411]P47(a109)
% 172.05/172.07 [412]P47(a1)
% 172.05/172.07 [413]P47(a110)
% 172.05/172.07 [414]P47(a111)
% 172.05/172.07 [415]P21(a1)
% 172.05/172.07 [416]P45(a109)
% 172.05/172.07 [417]P45(a1)
% 172.05/172.07 [418]P45(a110)
% 172.05/172.07 [419]P45(a111)
% 172.05/172.07 [420]P22(a109)
% 172.05/172.07 [421]P22(a1)
% 172.05/172.07 [422]P22(a110)
% 172.05/172.07 [423]P22(a111)
% 172.05/172.07 [424]P33(a109)
% 172.05/172.07 [425]P33(a111)
% 172.05/172.07 [426]P37(a109)
% 172.05/172.07 [427]P37(a110)
% 172.05/172.07 [428]P37(a111)
% 172.05/172.07 [429]P23(a109)
% 172.05/172.07 [430]P23(a111)
% 172.05/172.07 [431]P24(a109)
% 172.05/172.07 [432]P24(a111)
% 172.05/172.07 [433]P25(a110)
% 172.05/172.07 [434]P25(a111)
% 172.05/172.07 [435]P56(a109)
% 172.05/172.07 [436]P56(a110)
% 172.05/172.07 [437]P56(a111)
% 172.05/172.07 [438]P57(a109)
% 172.05/172.07 [439]P57(a110)
% 172.05/172.07 [440]P57(a111)
% 172.05/172.07 [441]P34(a109)
% 172.05/172.07 [442]P34(a110)
% 172.05/172.07 [443]P34(a111)
% 172.05/172.07 [444]P58(a109)
% 172.05/172.07 [445]P58(a110)
% 172.05/172.07 [446]P58(a111)
% 172.05/172.07 [447]P26(a109)
% 172.05/172.07 [448]P26(a110)
% 172.05/172.07 [449]P26(a111)
% 172.05/172.07 [450]P61(a109)
% 172.05/172.07 [451]P61(a111)
% 172.05/172.07 [452]P63(a109)
% 172.05/172.07 [453]P63(a110)
% 172.05/172.07 [454]P63(a111)
% 172.05/172.07 [455]P67(a109)
% 172.05/172.07 [456]P67(a111)
% 172.05/172.07 [457]P64(a109)
% 172.05/172.07 [458]P64(a110)
% 172.05/172.07 [459]P64(a111)
% 172.05/172.07 [460]P35(a109)
% 172.05/172.07 [461]P35(a110)
% 172.05/172.07 [462]P35(a111)
% 172.05/172.07 [463]P28(a109)
% 172.05/172.07 [464]P28(a110)
% 172.05/172.07 [465]P28(a111)
% 172.05/172.07 [466]P32(a109)
% 172.05/172.07 [467]P32(a111)
% 172.05/172.07 [468]P68(a109)
% 172.05/172.07 [469]P68(a111)
% 172.05/172.07 [470]P31(a109)
% 172.05/172.07 [471]P31(a110)
% 172.05/172.07 [472]P31(a111)
% 172.05/172.07 [473]P36(a109)
% 172.05/172.07 [474]P36(a110)
% 172.05/172.07 [475]P36(a111)
% 172.05/172.07 [476]P38(a109)
% 172.05/172.07 [477]P38(a110)
% 172.05/172.07 [478]P38(a111)
% 172.05/172.07 [479]P39(a109)
% 172.05/172.07 [480]P39(a110)
% 172.05/172.07 [481]P39(a111)
% 172.05/172.07 [482]P27(a109)
% 172.05/172.07 [483]P27(a110)
% 172.05/172.07 [484]P27(a111)
% 172.05/172.07 [485]P29(a109)
% 172.05/172.07 [486]P29(a110)
% 172.05/172.07 [487]P29(a111)
% 172.05/172.07 [488]P30(a109)
% 172.05/172.07 [489]P30(a110)
% 172.05/172.07 [490]P30(a111)
% 172.05/172.07 [491]P40(a109)
% 172.05/172.07 [492]P40(a110)
% 172.05/172.07 [493]P40(a111)
% 172.05/172.07 [494]P51(a109)
% 172.05/172.07 [495]P51(a110)
% 172.05/172.07 [496]P51(a111)
% 172.05/172.07 [497]P75(a109)
% 172.05/172.07 [498]P75(a110)
% 172.05/172.07 [499]P75(a111)
% 172.05/172.07 [500]P69(a109)
% 172.05/172.07 [501]P69(a111)
% 172.05/172.07 [502]P70(a109)
% 172.05/172.07 [503]P70(a111)
% 172.05/172.07 [504]P65(a109)
% 172.05/172.07 [505]P65(a111)
% 172.05/172.07 [506]P41(a109)
% 172.05/172.07 [507]P41(a110)
% 172.05/172.07 [508]P41(a111)
% 172.05/172.07 [509]P71(a109)
% 172.05/172.07 [510]P71(a110)
% 172.05/172.07 [511]P71(a111)
% 172.05/172.07 [512]P73(a109)
% 172.05/172.07 [513]P73(a110)
% 172.05/172.07 [514]P73(a111)
% 172.05/172.07 [515]P72(a109)
% 172.05/172.07 [516]P72(a110)
% 172.05/172.07 [517]P72(a111)
% 172.05/172.07 [518]P59(a109)
% 172.05/172.07 [519]P59(a111)
% 172.05/172.07 [520]P60(a109)
% 172.05/172.07 [521]P60(a111)
% 172.05/172.07 [522]P54(a109)
% 172.05/172.07 [523]P54(a110)
% 172.05/172.07 [524]P54(a111)
% 172.05/172.07 [525]P66(a109)
% 172.05/172.07 [526]P66(a110)
% 172.05/172.07 [527]P66(a111)
% 172.05/172.07 [528]P62(a109)
% 172.05/172.07 [529]P62(a110)
% 172.05/172.07 [530]P62(a111)
% 172.05/172.07 [531]P55(a109)
% 172.05/172.07 [532]P55(a110)
% 172.05/172.07 [533]P55(a111)
% 172.05/172.07 [534]P77(a109)
% 172.05/172.07 [535]P77(a110)
% 172.05/172.07 [536]P77(a111)
% 172.05/172.07 [537]P52(a109)
% 172.05/172.07 [538]P42(a109)
% 172.05/172.07 [539]P42(a111)
% 172.05/172.07 [540]P53(a109)
% 172.05/172.07 [541]P53(a110)
% 172.05/172.07 [542]P53(a111)
% 172.05/172.07 [543]P74(a109)
% 172.05/172.07 [544]P74(a111)
% 172.05/172.07 [545]P76(a109)
% 172.05/172.07 [546]P76(a110)
% 172.05/172.07 [547]P76(a111)
% 172.05/172.07 [548]P43(a1)
% 172.05/172.07 [574]P4(a109,a58,a113)
% 172.05/172.07 [549]E(f2(a110),f3(a110))
% 172.05/172.07 [569]P78(f33(a113,a115))
% 172.05/172.07 [570]P78(f33(a113,a34))
% 172.05/172.07 [571]P78(f33(a113,a57))
% 172.05/172.07 [594]P6(a111,f3(a111),f4(a111))
% 172.05/172.07 [596]P5(a111,f3(a111),f4(a111))
% 172.05/172.07 [734]~E(f4(a109),f3(a109))
% 172.05/172.07 [735]~E(f4(a111),f3(a111))
% 172.05/172.07 [550]E(f22(f3(a109)),f3(a110))
% 172.05/172.07 [551]E(f22(f4(a109)),f4(a110))
% 172.05/172.07 [552]E(f27(f3(a109)),f3(a110))
% 172.05/172.07 [553]E(f27(f4(a109)),f4(a110))
% 172.05/172.07 [554]E(f28(f4(a109)),f3(a109))
% 172.05/172.07 [567]E(f29(a110,f3(a110)),f3(a109))
% 172.05/172.07 [568]E(f29(a110,f4(a110)),f4(a109))
% 172.05/172.07 [578]P5(a109,x5781,x5781)
% 172.05/172.07 [579]P5(a110,x5791,x5791)
% 172.05/172.07 [580]P5(a111,x5801,x5801)
% 172.05/172.07 [737]~P6(a110,x7371,x7371)
% 172.05/172.07 [555]P1(f112(x5551))
% 172.05/172.07 [556]P2(f112(x5561))
% 172.05/172.07 [557]P3(f112(x5571))
% 172.05/172.07 [558]P48(f112(x5581))
% 172.05/172.07 [559]P49(f112(x5591))
% 172.05/172.07 [560]P18(f112(x5601))
% 172.05/172.07 [561]P19(f112(x5611))
% 172.05/172.07 [562]P20(f112(x5621))
% 172.05/172.07 [563]P46(f112(x5631))
% 172.05/172.07 [564]P47(f112(x5641))
% 172.05/172.07 [565]P21(f112(x5651))
% 172.05/172.07 [566]P43(f112(x5661))
% 172.05/172.07 [585]E(f5(a110,x5851,x5851),f3(a110))
% 172.05/172.07 [587]P5(a110,f3(a110),x5871)
% 172.05/172.07 [603]P5(a109,f3(a109),f29(a110,x6031))
% 172.05/172.07 [604]P4(a109,f29(a110,x6041),f17(a109))
% 172.05/172.07 [605]P4(a109,f29(a110,x6051),f15(a109))
% 172.05/172.07 [741]~P6(a110,x7411,f3(a110))
% 172.05/172.07 [742]~P6(a109,f29(a110,x7421),f3(a109))
% 172.05/172.07 [572]E(f22(f29(a110,x5721)),x5721)
% 172.05/172.07 [573]E(f27(f29(a110,x5731)),x5731)
% 172.05/172.07 [575]E(f33(f33(f12(a110),x5751),f4(a110)),x5751)
% 172.05/172.07 [576]E(f33(f33(f12(a111),x5761),f4(a111)),x5761)
% 172.05/172.07 [577]E(f33(f33(f12(a110),x5771),f3(a110)),f3(a110))
% 172.05/172.07 [588]E(f5(a110,x5881,f3(a110)),x5881)
% 172.05/172.07 [589]E(f13(a110,x5891,f3(a110)),x5891)
% 172.05/172.07 [590]E(f13(a111,x5901,f3(a111)),x5901)
% 172.05/172.07 [591]E(f13(a110,f3(a110),x5911),x5911)
% 172.05/172.07 [592]E(f13(a111,f3(a111),x5921),x5921)
% 172.05/172.07 [593]E(f5(a110,f3(a110),x5931),f3(a110))
% 172.05/172.07 [606]P5(a109,x6061,f29(a110,f22(x6061)))
% 172.05/172.07 [647]P6(a109,f5(a109,x6471,f4(a109)),f29(a110,f27(x6471)))
% 172.05/172.07 [661]P6(a109,x6611,f13(a109,f29(a110,f27(x6611)),f4(a109)))
% 172.05/172.07 [738]~E(f23(f114(x7381,a1)),f2(f114(x7381,a1)))
% 172.05/172.07 [581]E(f33(f33(f12(a109),f4(a109)),x5811),x5811)
% 172.05/172.07 [582]E(f33(f33(f12(a110),f4(a110)),x5821),x5821)
% 172.05/172.07 [583]E(f33(f33(f12(a111),f4(a111)),x5831),x5831)
% 172.05/172.07 [584]E(f33(f33(f12(a110),f3(a110)),x5841),f3(a110))
% 172.05/172.07 [626]E(f30(x6261,f23(f114(x6261,a1))),f23(f114(f114(x6261,a1),a1)))
% 172.05/172.07 [627]P5(a110,x6271,f33(f33(f12(a110),x6271),x6271))
% 172.05/172.07 [751]~E(f13(a111,f13(a111,f4(a111),x7511),x7511),f3(a111))
% 172.05/172.07 [648]E(f6(f114(x6481,a1),f23(f114(f114(x6481,a1),a1))),f23(f114(x6481,a1)))
% 172.05/172.07 [649]E(f6(f114(x6491,a1),f2(f114(f114(x6491,a1),a1))),f2(f114(x6491,a1)))
% 172.05/172.07 [650]E(f7(f114(x6501,a1),f23(f114(f114(x6501,a1),a1))),f2(f114(x6501,a1)))
% 172.05/172.07 [651]E(f7(f114(x6511,a1),f2(f114(f114(x6511,a1),a1))),f23(f114(x6511,a1)))
% 172.05/172.07 [679]P5(a110,x6791,f33(f33(f12(a110),x6791),f33(f33(f12(a110),x6791),x6791)))
% 172.05/172.07 [682]E(f31(f114(x6821,a1),f2(f114(x6821,a1)),f2(f114(f114(x6821,a1),a1))),f30(x6821,f2(f114(x6821,a1))))
% 172.05/172.07 [753]~P78(f33(f19(a109,f23(f114(a109,a1)),a113),x7531))
% 172.05/172.07 [600]P5(f114(x6001,a1),x6002,x6002)
% 172.05/172.07 [610]P4(f114(x6101,a1),x6102,f30(x6101,x6102))
% 172.05/172.07 [612]E(f13(a110,x6121,x6122),f13(a110,x6122,x6121))
% 172.05/172.07 [613]E(f13(a111,x6131,x6132),f13(a111,x6132,x6131))
% 172.05/172.07 [637]P5(a110,x6371,f13(a110,x6372,x6371))
% 172.05/172.07 [638]P5(a110,x6381,f13(a110,x6381,x6382))
% 172.05/172.07 [639]P5(a110,f5(a110,x6391,x6392),x6391)
% 172.05/172.07 [749]~P6(a110,f13(a110,x7491,x7492),x7492)
% 172.05/172.07 [750]~P6(a110,f13(a110,x7501,x7502),x7501)
% 172.05/172.07 [599]E(f6(f114(x5991,a1),f30(x5991,x5992)),x5992)
% 172.05/172.07 [601]E(f14(f114(x6011,a1),x6012,x6012),x6012)
% 172.05/172.07 [602]E(f16(f114(x6021,a1),x6022,x6022),x6022)
% 172.05/172.07 [611]E(f5(f114(x6111,a1),x6112,x6112),f2(f114(x6111,a1)))
% 172.05/172.07 [615]P4(x6151,x6152,f23(f114(x6151,a1)))
% 172.05/172.07 [618]P5(f114(x6181,a1),x6182,f23(f114(x6181,a1)))
% 172.05/172.07 [619]P5(f114(x6191,a1),f2(f114(x6191,a1)),x6192)
% 172.05/172.07 [630]P4(f114(x6301,a1),f2(f114(x6301,a1)),f30(x6301,x6302))
% 172.05/172.07 [640]E(f5(a110,f13(a110,x6401,x6402),x6402),x6401)
% 172.05/172.07 [641]E(f5(a110,f13(a110,x6411,x6412),x6411),x6412)
% 172.05/172.07 [642]E(f5(a110,x6421,f13(a110,x6421,x6422)),f3(a110))
% 172.05/172.07 [652]E(f13(a109,f29(a110,x6521),f29(a110,x6522)),f29(a110,f13(a110,x6521,x6522)))
% 172.05/172.07 [747]~P4(x7471,x7472,f2(f114(x7471,a1)))
% 172.05/172.07 [748]~P6(f114(x7481,a1),x7482,f2(f114(x7481,a1)))
% 172.05/172.07 [607]E(f33(f33(f12(a109),x6071),x6072),f33(f33(f12(a109),x6072),x6071))
% 172.05/172.07 [608]E(f33(f33(f12(a110),x6081),x6082),f33(f33(f12(a110),x6082),x6081))
% 172.05/172.07 [609]E(f33(f33(f12(a111),x6091),x6092),f33(f33(f12(a111),x6092),x6091))
% 172.05/172.07 [616]E(f18(x6161,x6162,f23(f114(x6161,a1))),x6162)
% 172.05/172.07 [620]E(f5(f114(x6201,a1),x6202,f2(f114(x6201,a1))),x6202)
% 172.05/172.07 [621]E(f14(f114(x6211,a1),x6212,f23(f114(x6211,a1))),x6212)
% 172.05/172.07 [622]E(f16(f114(x6221,a1),x6222,f2(f114(x6221,a1))),x6222)
% 172.05/172.07 [623]E(f14(f114(x6231,a1),f23(f114(x6231,a1)),x6232),x6232)
% 172.05/172.07 [624]E(f16(f114(x6241,a1),f2(f114(x6241,a1)),x6242),x6242)
% 172.05/172.07 [625]P78(f33(f23(f114(x6251,a1)),x6252))
% 172.05/172.07 [631]E(f5(f114(x6311,a1),x6312,f23(f114(x6311,a1))),f2(f114(x6311,a1)))
% 172.05/172.07 [632]E(f14(f114(x6321,a1),x6322,f2(f114(x6321,a1))),f2(f114(x6321,a1)))
% 172.05/172.07 [633]E(f16(f114(x6331,a1),x6332,f23(f114(x6331,a1))),f23(f114(x6331,a1)))
% 172.05/172.07 [634]E(f5(f114(x6341,a1),f2(f114(x6341,a1)),x6342),f2(f114(x6341,a1)))
% 172.05/172.07 [635]E(f14(f114(x6351,a1),f2(f114(x6351,a1)),x6352),f2(f114(x6351,a1)))
% 172.05/172.07 [636]E(f16(f114(x6361,a1),f23(f114(x6361,a1)),x6362),f23(f114(x6361,a1)))
% 172.05/172.07 [664]P5(f114(f114(x6641,a1),a1),x6642,f30(x6641,f6(f114(x6641,a1),x6642)))
% 172.05/172.07 [745]~E(f30(x7451,x7452),f2(f114(f114(x7451,a1),a1)))
% 172.05/172.07 [646]E(f33(f33(f24(a109),f29(a110,x6461)),x6462),f29(a110,f33(f33(f24(a110),x6461),x6462)))
% 172.05/172.07 [654]E(f33(f33(f12(a109),f29(a110,x6541)),f29(a110,x6542)),f29(a110,f33(f33(f12(a110),x6541),x6542)))
% 172.05/172.07 [655]E(f32(x6551,f31(x6551,x6552,f2(f114(x6551,a1)))),x6552)
% 172.05/172.07 [643]P4(x6431,x6432,f31(x6431,x6432,x6433))
% 172.05/172.07 [644]P5(f114(x6441,a1),x6442,f31(x6441,x6443,x6442))
% 172.05/172.07 [628]E(f14(f114(x6281,a1),x6282,x6283),f14(f114(x6281,a1),x6283,x6282))
% 172.05/172.07 [629]E(f16(f114(x6291,a1),x6292,x6293),f16(f114(x6291,a1),x6293,x6292))
% 172.05/172.07 [653]E(f31(x6531,x6532,f31(x6531,x6532,x6533)),f31(x6531,x6532,x6533))
% 172.05/172.07 [656]P5(f114(x6561,a1),x6562,f16(f114(x6561,a1),x6563,x6562))
% 172.05/172.07 [657]P5(f114(x6571,a1),x6572,f16(f114(x6571,a1),x6572,x6573))
% 172.05/172.07 [658]P5(f114(x6581,a1),f5(f114(x6581,a1),x6582,x6583),x6582)
% 172.05/172.07 [659]P5(f114(x6591,a1),f14(f114(x6591,a1),x6592,x6593),x6593)
% 172.05/172.07 [660]P5(f114(x6601,a1),f14(f114(x6601,a1),x6602,x6603),x6602)
% 172.05/172.07 [670]E(f13(a110,x6701,f13(a110,x6702,x6703)),f13(a110,x6702,f13(a110,x6701,x6703)))
% 172.05/172.07 [671]E(f13(a111,x6711,f13(a111,x6712,x6713)),f13(a111,x6712,f13(a111,x6711,x6713)))
% 172.05/172.07 [672]E(f5(a110,f5(a110,x6721,x6722),x6723),f5(a110,x6721,f13(a110,x6722,x6723)))
% 172.05/172.07 [673]E(f13(a110,f13(a110,x6731,x6732),x6733),f13(a110,x6731,f13(a110,x6732,x6733)))
% 172.05/172.07 [674]E(f13(a111,f13(a111,x6741,x6742),x6743),f13(a111,x6741,f13(a111,x6742,x6743)))
% 172.05/172.07 [675]E(f5(a110,f5(a110,x6751,x6752),x6753),f5(a110,f5(a110,x6751,x6753),x6752))
% 172.05/172.07 [676]E(f5(a110,f13(a110,x6761,x6762),f13(a110,x6763,x6762)),f5(a110,x6761,x6763))
% 172.05/172.07 [677]E(f5(a110,f13(a110,x6771,x6772),f13(a110,x6771,x6773)),f5(a110,x6772,x6773))
% 172.05/172.07 [743]~E(f31(x7431,x7432,x7433),f2(f114(x7431,a1)))
% 172.05/172.07 [744]~E(f2(f114(x7441,a1)),f31(x7441,x7442,x7443))
% 172.05/172.07 [752]~P9(x7521,x7522,f2(f114(x7521,a1)),x7523)
% 172.05/172.07 [662]E(f14(f114(x6621,a1),x6622,f5(f114(x6621,a1),x6623,x6622)),f2(f114(x6621,a1)))
% 172.05/172.07 [665]E(f14(f114(x6651,a1),x6652,f14(f114(x6651,a1),x6652,x6653)),f14(f114(x6651,a1),x6652,x6653))
% 172.05/172.07 [666]E(f16(f114(x6661,a1),x6662,f5(f114(x6661,a1),x6663,x6662)),f16(f114(x6661,a1),x6662,x6663))
% 172.05/172.07 [667]E(f16(f114(x6671,a1),x6672,f16(f114(x6671,a1),x6672,x6673)),f16(f114(x6671,a1),x6672,x6673))
% 172.05/172.07 [668]E(f5(f114(x6681,a1),f5(f114(x6681,a1),x6682,x6683),x6683),f5(f114(x6681,a1),x6682,x6683))
% 172.05/172.07 [669]E(f16(f114(x6691,a1),f5(f114(x6691,a1),x6692,x6693),x6693),f16(f114(x6691,a1),x6692,x6693))
% 172.05/172.07 [680]E(f16(f114(x6801,a1),x6802,f6(f114(x6801,a1),x6803)),f6(f114(x6801,a1),f31(f114(x6801,a1),x6802,x6803)))
% 172.05/172.07 [681]E(f14(f114(x6811,a1),x6812,f7(f114(x6811,a1),x6813)),f7(f114(x6811,a1),f31(f114(x6811,a1),x6812,x6813)))
% 172.05/172.07 [683]E(f14(f114(f114(x6831,a1),a1),f30(x6831,x6832),f30(x6831,x6833)),f30(x6831,f14(f114(x6831,a1),x6832,x6833)))
% 172.05/172.07 [693]E(f16(f114(x6931,a1),f5(f114(x6931,a1),x6932,x6933),f14(f114(x6931,a1),x6932,x6933)),x6932)
% 172.05/172.07 [722]P5(f114(f114(x7221,a1),a1),f16(f114(f114(x7221,a1),a1),f30(x7221,x7222),f30(x7221,x7223)),f30(x7221,f16(f114(x7221,a1),x7222,x7223)))
% 172.05/172.07 [684]E(f16(f114(x6841,a1),f31(x6841,x6842,f2(f114(x6841,a1))),x6843),f31(x6841,x6842,x6843))
% 172.05/172.07 [689]E(f5(a110,f33(f33(f12(a110),x6891),x6892),f33(f33(f12(a110),x6891),x6893)),f33(f33(f12(a110),x6891),f5(a110,x6892,x6893)))
% 172.05/172.07 [690]E(f13(a110,f33(f33(f12(a110),x6901),x6902),f33(f33(f12(a110),x6901),x6903)),f33(f33(f12(a110),x6901),f13(a110,x6902,x6903)))
% 172.05/172.07 [691]E(f5(a111,f33(f33(f12(a111),x6911),x6912),f33(f33(f12(a111),x6911),x6913)),f33(f33(f12(a111),x6911),f5(a111,x6912,x6913)))
% 172.05/172.07 [692]E(f13(a111,f33(f33(f12(a111),x6921),x6922),f33(f33(f12(a111),x6921),x6923)),f33(f33(f12(a111),x6921),f13(a111,x6922,x6923)))
% 172.05/172.07 [701]E(f33(f33(f12(a111),f33(f33(f24(a111),x7011),x7012)),f33(f33(f24(a111),x7011),x7013)),f33(f33(f24(a111),x7011),f13(a110,x7012,x7013)))
% 172.05/172.07 [702]E(f13(a109,f33(f33(f12(a109),x7021),x7022),f33(f33(f12(a109),x7023),x7022)),f33(f33(f12(a109),f13(a109,x7021,x7023)),x7022))
% 172.05/172.07 [703]E(f5(a110,f33(f33(f12(a110),x7031),x7032),f33(f33(f12(a110),x7033),x7032)),f33(f33(f12(a110),f5(a110,x7031,x7033)),x7032))
% 172.05/172.07 [704]E(f13(a110,f33(f33(f12(a110),x7041),x7042),f33(f33(f12(a110),x7043),x7042)),f33(f33(f12(a110),f13(a110,x7041,x7043)),x7042))
% 172.05/172.07 [705]E(f5(a111,f33(f33(f12(a111),x7051),x7052),f33(f33(f12(a111),x7053),x7052)),f33(f33(f12(a111),f5(a111,x7051,x7053)),x7052))
% 172.05/172.07 [706]E(f13(a111,f33(f33(f12(a111),x7061),x7062),f33(f33(f12(a111),x7063),x7062)),f33(f33(f12(a111),f13(a111,x7061,x7063)),x7062))
% 172.05/172.07 [708]E(f16(f114(x7081,a1),f6(f114(x7081,a1),x7082),f6(f114(x7081,a1),x7083)),f6(f114(x7081,a1),f16(f114(f114(x7081,a1),a1),x7082,x7083)))
% 172.05/172.07 [709]E(f14(f114(x7091,a1),f7(f114(x7091,a1),x7092),f7(f114(x7091,a1),x7093)),f7(f114(x7091,a1),f16(f114(f114(x7091,a1),a1),x7092,x7093)))
% 172.05/172.07 [725]P5(f114(x7251,a1),f6(f114(x7251,a1),f14(f114(f114(x7251,a1),a1),x7252,x7253)),f14(f114(x7251,a1),f6(f114(x7251,a1),x7252),f6(f114(x7251,a1),x7253)))
% 172.05/172.07 [726]P5(f114(x7261,a1),f16(f114(x7261,a1),f7(f114(x7261,a1),x7262),f7(f114(x7261,a1),x7263)),f7(f114(x7261,a1),f14(f114(f114(x7261,a1),a1),x7262,x7263)))
% 172.05/172.07 [685]E(f33(f33(f12(a109),f33(f33(f12(a109),x6851),x6852)),x6853),f33(f33(f12(a109),x6851),f33(f33(f12(a109),x6852),x6853)))
% 172.05/172.07 [686]E(f33(f33(f12(a110),f33(f33(f12(a110),x6861),x6862)),x6863),f33(f33(f12(a110),x6861),f33(f33(f12(a110),x6862),x6863)))
% 172.05/172.07 [687]E(f33(f33(f12(a111),f33(f33(f12(a111),x6871),x6872)),x6873),f33(f33(f12(a111),x6871),f33(f33(f12(a111),x6872),x6873)))
% 172.05/172.07 [688]E(f33(f33(f24(a111),f33(f33(f24(a111),x6881),x6882)),x6883),f33(f33(f24(a111),x6881),f33(f33(f12(a110),x6882),x6883)))
% 172.05/172.07 [721]E(f31(x7211,x7212,f5(f114(x7211,a1),x7213,f31(x7211,x7212,f2(f114(x7211,a1))))),f31(x7211,x7212,x7213))
% 172.05/172.07 [727]E(f7(f114(x7271,a1),f31(f114(x7271,a1),x7272,f31(f114(x7271,a1),x7273,f2(f114(f114(x7271,a1),a1))))),f14(f114(x7271,a1),x7272,x7273))
% 172.05/172.07 [728]E(f6(f114(x7281,a1),f31(f114(x7281,a1),x7282,f31(f114(x7281,a1),x7283,f2(f114(f114(x7281,a1),a1))))),f16(f114(x7281,a1),x7282,x7283))
% 172.05/172.07 [663]E(f33(f33(f25(x6631,x6632,x6633),x6634),f3(a110)),x6632)
% 172.05/172.07 [678]E(f31(x6781,x6782,f31(x6781,x6783,x6784)),f31(x6781,x6783,f31(x6781,x6782,x6784)))
% 172.05/172.07 [731]P7(x7311,x7312,x7313,x7314,f2(f114(x7311,a1)),x7314)
% 172.05/172.07 [733]P8(x7331,x7332,x7333,x7334,f2(f114(x7331,a1)),x7334)
% 172.05/172.07 [694]E(f31(x6941,x6942,f16(f114(x6941,a1),x6943,x6944)),f16(f114(x6941,a1),x6943,f31(x6941,x6942,x6944)))
% 172.05/172.07 [695]E(f31(x6951,x6952,f16(f114(x6951,a1),x6953,x6954)),f16(f114(x6951,a1),f31(x6951,x6952,x6953),x6954))
% 172.05/172.07 [696]E(f14(f114(x6961,a1),x6962,f14(f114(x6961,a1),x6963,x6964)),f14(f114(x6961,a1),x6963,f14(f114(x6961,a1),x6962,x6964)))
% 172.05/172.07 [697]E(f16(f114(x6971,a1),x6972,f16(f114(x6971,a1),x6973,x6974)),f16(f114(x6971,a1),x6973,f16(f114(x6971,a1),x6972,x6974)))
% 172.05/172.07 [698]E(f14(f114(x6981,a1),x6982,f5(f114(x6981,a1),x6983,x6984)),f5(f114(x6981,a1),f14(f114(x6981,a1),x6982,x6983),x6984))
% 172.05/172.07 [699]E(f14(f114(x6991,a1),f14(f114(x6991,a1),x6992,x6993),x6994),f14(f114(x6991,a1),x6992,f14(f114(x6991,a1),x6993,x6994)))
% 172.05/172.07 [700]E(f16(f114(x7001,a1),f16(f114(x7001,a1),x7002,x7003),x7004),f16(f114(x7001,a1),x7002,f16(f114(x7001,a1),x7003,x7004)))
% 172.05/172.07 [707]E(f14(f114(x7071,a1),f31(x7071,x7072,x7073),f31(x7071,x7072,x7074)),f31(x7071,x7072,f14(f114(x7071,a1),x7073,x7074)))
% 172.05/172.07 [710]E(f16(f114(x7101,a1),f5(f114(x7101,a1),x7102,x7103),f5(f114(x7101,a1),x7102,x7104)),f5(f114(x7101,a1),x7102,f14(f114(x7101,a1),x7103,x7104)))
% 172.05/172.07 [711]E(f14(f114(x7111,a1),f5(f114(x7111,a1),x7112,x7113),f5(f114(x7111,a1),x7112,x7114)),f5(f114(x7111,a1),x7112,f16(f114(x7111,a1),x7113,x7114)))
% 172.05/172.07 [712]E(f5(f114(x7121,a1),f14(f114(x7121,a1),x7122,x7123),f14(f114(x7121,a1),x7122,x7124)),f14(f114(x7121,a1),x7122,f5(f114(x7121,a1),x7123,x7124)))
% 172.05/172.07 [713]E(f16(f114(x7131,a1),f14(f114(x7131,a1),x7132,x7133),f14(f114(x7131,a1),x7132,x7134)),f14(f114(x7131,a1),x7132,f16(f114(x7131,a1),x7133,x7134)))
% 172.05/172.07 [714]E(f14(f114(x7141,a1),f16(f114(x7141,a1),x7142,x7143),f16(f114(x7141,a1),x7142,x7144)),f16(f114(x7141,a1),x7142,f14(f114(x7141,a1),x7143,x7144)))
% 172.05/172.07 [715]E(f16(f114(x7151,a1),f5(f114(x7151,a1),x7152,x7153),f5(f114(x7151,a1),x7154,x7153)),f5(f114(x7151,a1),f16(f114(x7151,a1),x7152,x7154),x7153))
% 172.05/172.07 [716]E(f5(f114(x7161,a1),f14(f114(x7161,a1),x7162,x7163),f14(f114(x7161,a1),x7164,x7163)),f14(f114(x7161,a1),f5(f114(x7161,a1),x7162,x7164),x7163))
% 172.05/172.07 [717]E(f16(f114(x7171,a1),f14(f114(x7171,a1),x7172,x7173),f14(f114(x7171,a1),x7174,x7173)),f14(f114(x7171,a1),f16(f114(x7171,a1),x7172,x7174),x7173))
% 172.05/172.07 [718]E(f14(f114(x7181,a1),f16(f114(x7181,a1),x7182,x7183),f16(f114(x7181,a1),x7184,x7183)),f16(f114(x7181,a1),f14(f114(x7181,a1),x7182,x7184),x7183))
% 172.05/172.07 [719]E(f5(f114(x7191,a1),f14(f114(x7191,a1),x7192,x7193),f14(f114(x7191,a1),x7194,x7193)),f5(f114(x7191,a1),f14(f114(x7191,a1),x7192,x7193),x7194))
% 172.05/172.07 [729]E(f16(f114(x7291,a1),f16(f114(x7291,a1),f14(f114(x7291,a1),x7292,x7293),f14(f114(x7291,a1),x7293,x7294)),f14(f114(x7291,a1),x7294,x7292)),f14(f114(x7291,a1),f14(f114(x7291,a1),f16(f114(x7291,a1),x7292,x7293),f16(f114(x7291,a1),x7293,x7294)),f16(f114(x7291,a1),x7294,x7292)))
% 172.05/172.07 [720]E(f5(f114(x7201,a1),f5(f114(x7201,a1),x7202,x7203),f31(x7201,x7204,f2(f114(x7201,a1)))),f5(f114(x7201,a1),x7202,f31(x7201,x7204,x7203)))
% 172.05/172.07 [723]E(f5(f114(x7231,a1),f5(f114(x7231,a1),x7232,f31(x7231,x7233,f2(f114(x7231,a1)))),x7234),f5(f114(x7231,a1),x7232,f31(x7231,x7233,x7234)))
% 172.05/172.07 [724]E(f13(a110,f33(f33(f12(a110),x7241),x7242),f13(a110,f33(f33(f12(a110),x7243),x7242),x7244)),f13(a110,f33(f33(f12(a110),f13(a110,x7241,x7243)),x7242),x7244))
% 172.05/172.07 [755]~P56(x7551)+~E(f4(x7551),f3(x7551))
% 172.05/172.07 [756]~E(x7561,f3(a110))+E(f29(a110,x7561),f3(a109))
% 172.05/172.07 [757]E(x7571,f3(a110))+~E(f29(a110,x7571),f3(a109))
% 172.05/172.07 [785]E(x7851,f3(a110))+P6(a110,f3(a110),x7851)
% 172.05/172.07 [844]~P58(x8441)+P6(x8441,f3(x8441),f4(x8441))
% 172.05/172.07 [845]~P57(x8451)+P4(x8451,f3(x8451),f17(x8451))
% 172.05/172.07 [846]~P68(x8461)+P4(x8461,f3(x8461),f15(x8461))
% 172.05/172.07 [847]~P57(x8471)+P4(x8471,f4(x8471),f17(x8471))
% 172.05/172.07 [848]~P68(x8481)+P4(x8481,f4(x8481),f15(x8481))
% 172.05/172.07 [849]~P58(x8491)+P5(x8491,f3(x8491),f4(x8491))
% 172.05/172.07 [881]~E(x8811,f3(a110))+P5(a109,f29(a110,x8811),f3(a109))
% 172.05/172.07 [897]E(x8971,f3(a110))+~P5(a110,x8971,f3(a110))
% 172.05/172.07 [900]P6(a109,x9001,a116)+~P78(f33(a113,x9001))
% 172.05/172.07 [901]P6(a109,x9011,a63)+~P78(f33(a113,x9011))
% 172.05/172.07 [902]P6(a109,x9021,a108)+~P78(f33(a113,x9021))
% 172.05/172.07 [903]E(f22(x9031),f3(a110))+~P5(a109,x9031,f3(a109))
% 172.05/172.07 [904]E(f27(x9041),f3(a110))+~P5(a109,x9041,f3(a109))
% 172.05/172.07 [942]~P58(x9421)+~P6(x9421,f4(x9421),f3(x9421))
% 172.05/172.07 [943]~P58(x9431)+~P5(x9431,f4(x9431),f3(x9431))
% 172.05/172.07 [980]E(x9801,f3(a110))+~P5(a109,f29(a110,x9801),f3(a109))
% 172.05/172.07 [1004]~P5(a111,f4(a111),x10041)+P6(a111,f3(a111),x10041)
% 172.05/172.07 [1005]~P6(a111,f3(a111),x10051)+P5(a111,f4(a111),x10051)
% 172.05/172.07 [1006]P6(a109,f28(x10061),x10061)+~P6(a109,f3(a109),x10061)
% 172.05/172.07 [1041]~P5(a109,x10411,f4(a109))+P5(a110,f22(x10411),f4(a110))
% 172.05/172.07 [1042]~P6(a109,f4(a109),x10421)+P6(a109,f3(a109),f28(x10421))
% 172.05/172.07 [1043]~P5(a109,f4(a109),x10431)+P5(a109,f3(a109),f28(x10431))
% 172.05/172.07 [1044]~P5(a109,f4(a109),x10441)+P5(a110,f4(a110),f27(x10441))
% 172.05/172.07 [1047]~P5(a110,f22(x10471),f4(a110))+P5(a109,x10471,f4(a109))
% 172.05/172.07 [1048]~P5(a110,f4(a110),f27(x10481))+P5(a109,f4(a109),x10481)
% 172.05/172.07 [1056]~P6(a110,f3(a110),x10561)+P6(a109,f3(a109),f29(a110,x10561))
% 172.05/172.07 [1102]P6(a110,f3(a110),x11021)+~P6(a109,f3(a109),f29(a110,x11021))
% 172.05/172.07 [863]~P53(x8631)+E(f25(x8631,f4(x8631),f12(x8631)),f24(x8631))
% 172.05/172.07 [1081]~P5(a109,f3(a109),x10811)+P6(a109,x10811,f29(a110,f96(x10811)))
% 172.05/172.07 [1082]~P5(a109,f3(a109),x10821)+P5(a109,f29(a110,f27(x10821)),x10821)
% 172.05/172.07 [1119]~P58(x11191)+P6(x11191,f3(x11191),f13(x11191,f4(x11191),f4(x11191)))
% 172.05/172.07 [1232]~P5(a111,f3(a111),x12321)+P6(a111,f3(a111),f13(a111,f4(a111),x12321))
% 172.05/172.07 [857]~P3(x8571)+E(f6(x8571,f23(f114(x8571,a1))),f23(x8571))
% 172.05/172.07 [858]~P3(x8581)+E(f6(x8581,f2(f114(x8581,a1))),f2(x8581))
% 172.05/172.07 [859]~P3(x8591)+E(f7(x8591,f23(f114(x8591,a1))),f2(x8591))
% 172.05/172.07 [860]~P3(x8601)+E(f7(x8601,f2(f114(x8601,a1))),f23(x8601))
% 172.05/172.07 [861]~P25(x8611)+E(f8(x8611,f2(f114(x8611,a1))),f3(x8611))
% 172.05/172.07 [862]~P25(x8621)+E(f11(x8621,f2(f114(x8621,a1))),f4(x8621))
% 172.05/172.07 [1024]E(x10241,f3(a109))+P6(a109,f3(a109),f33(f33(f12(a109),x10241),x10241))
% 172.05/172.07 [1182]~E(x11821,f3(a109))+~P6(a109,f3(a109),f33(f33(f12(a109),x11821),x11821))
% 172.05/172.07 [1256]~P5(a109,f3(a109),x12561)+E(f22(f13(a109,x12561,f4(a109))),f13(a110,f22(x12561),f4(a110)))
% 172.05/172.07 [1257]~P5(a109,f3(a109),x12571)+E(f27(f13(a109,x12571,f4(a109))),f13(a110,f27(x12571),f4(a110)))
% 172.05/172.07 [1491]~P5(a109,f3(a109),x14911)+P5(a109,f28(f13(a109,f4(a109),x14911)),x14911)
% 172.05/172.07 [1550]~P5(a109,f3(a109),x15501)+P5(a109,f29(a110,f5(a110,f96(x15501),f4(a110))),x15501)
% 172.05/172.07 [1659]~P6(a111,x16591,f3(a111))+P6(a111,f13(a111,f13(a111,f4(a111),x16591),x16591),f3(a111))
% 172.05/172.07 [1786]P6(a111,x17861,f3(a111))+~P6(a111,f13(a111,f13(a111,f4(a111),x17861),x17861),f3(a111))
% 172.05/172.07 [780]~E(x7801,x7802)+P5(a109,x7801,x7802)
% 172.05/172.07 [783]~E(x7831,x7832)+P5(a110,x7831,x7832)
% 172.05/172.07 [790]~P48(x7901)+P5(x7901,x7902,x7902)
% 172.05/172.07 [883]~E(x8831,x8832)+~P6(a109,x8831,x8832)
% 172.05/172.07 [888]~E(x8881,x8882)+~P6(a110,x8881,x8882)
% 172.05/172.07 [889]~E(x8891,x8892)+~P6(a111,x8891,x8892)
% 172.05/172.07 [898]~P6(x8981,x8982,x8982)+~P48(x8981)
% 172.05/172.07 [933]P5(a109,x9332,x9331)+P5(a109,x9331,x9332)
% 172.05/172.07 [934]P5(a110,x9342,x9341)+P5(a110,x9341,x9342)
% 172.05/172.07 [935]P5(a111,x9352,x9351)+P5(a111,x9351,x9352)
% 172.05/172.07 [985]~P6(a109,x9851,x9852)+P5(a109,x9851,x9852)
% 172.05/172.07 [990]~P6(a110,x9901,x9902)+P5(a110,x9901,x9902)
% 172.05/172.07 [991]~P6(a111,x9911,x9912)+P5(a111,x9911,x9912)
% 172.05/172.07 [758]~P1(x7582)+P1(f114(x7581,x7582))
% 172.05/172.07 [759]~P2(x7592)+P2(f114(x7591,x7592))
% 172.05/172.07 [760]~P3(x7602)+P3(f114(x7601,x7602))
% 172.05/172.07 [761]~P48(x7612)+P48(f114(x7611,x7612))
% 172.05/172.07 [762]~P49(x7622)+P49(f114(x7621,x7622))
% 172.05/172.07 [763]~P18(x7632)+P18(f114(x7631,x7632))
% 172.05/172.07 [764]~P19(x7642)+P19(f114(x7641,x7642))
% 172.05/172.07 [765]~P43(x7652)+P20(f114(x7651,x7652))
% 172.05/172.07 [766]~P19(x7662)+P46(f114(x7661,x7662))
% 172.05/172.07 [767]~P19(x7672)+P47(f114(x7671,x7672))
% 172.05/172.07 [768]~P43(x7682)+P21(f114(x7681,x7682))
% 172.05/172.07 [769]~P45(x7692)+P45(f114(x7691,x7692))
% 172.05/172.07 [770]~P22(x7702)+P22(f114(x7701,x7702))
% 172.05/172.07 [771]~P43(x7712)+P43(f114(x7711,x7712))
% 172.05/172.07 [772]E(x7721,x7722)+~E(f29(a110,x7721),f29(a110,x7722))
% 172.05/172.07 [793]~P47(x7931)+E(f14(x7931,x7932,x7932),x7932)
% 172.05/172.07 [795]~P46(x7951)+E(f16(x7951,x7952,x7952),x7952)
% 172.05/172.07 [803]~P23(x8031)+E(f5(x8031,x8032,x8032),f3(x8031))
% 172.05/172.07 [810]~P1(x8101)+P5(x8101,x8102,f23(x8101))
% 172.05/172.07 [811]~P18(x8111)+P5(x8111,f2(x8111),x8112)
% 172.05/172.07 [831]P5(a111,x8312,x8311)+E(f21(x8311,x8312),f3(a111))
% 172.05/172.07 [890]~E(f13(a110,x8902,x8901),x8902)+E(x8901,f3(a110))
% 172.05/172.07 [892]~P6(a110,x8922,x8921)+~E(x8921,f3(a110))
% 172.05/172.07 [893]E(x8931,f3(a110))+~E(f13(a110,x8932,x8931),f3(a110))
% 172.05/172.07 [894]E(x8941,f3(a110))+~E(f13(a110,x8941,x8942),f3(a110))
% 172.05/172.07 [995]~P5(a110,x9951,x9952)+E(f5(a110,x9951,x9952),f3(a110))
% 172.05/172.07 [1002]P5(a110,x10021,x10022)+~E(f5(a110,x10021,x10022),f3(a110))
% 172.05/172.07 [1019]~P5(a109,x10191,x10192)+P5(a110,f22(x10191),f22(x10192))
% 172.05/172.07 [1020]~P5(a109,x10201,x10202)+P5(a110,f27(x10201),f27(x10202))
% 172.05/172.07 [1035]~P5(a111,x10352,x10351)+E(f5(a111,x10351,x10352),f21(x10351,x10352))
% 172.05/172.07 [1084]P5(a110,x10841,f27(x10842))+~P5(a109,f29(a110,x10841),x10842)
% 172.05/172.07 [1085]P5(a110,f22(x10851),x10852)+~P5(a109,x10851,f29(a110,x10852))
% 172.05/172.07 [1107]~P6(a110,x11071,x11072)+P6(a109,f29(a110,x11071),f29(a110,x11072))
% 172.05/172.07 [1108]~P5(a110,x11081,x11082)+P5(a109,f29(a110,x11081),f29(a110,x11082))
% 172.05/172.07 [1137]P6(a110,x11371,x11372)+~P6(a109,f29(a110,x11371),f29(a110,x11372))
% 172.05/172.07 [1138]P5(a110,x11381,x11382)+~P5(a109,f29(a110,x11381),f29(a110,x11382))
% 172.05/172.07 [1211]~P6(a110,x12112,x12111)+P6(a110,f3(a110),f5(a110,x12111,x12112))
% 172.05/172.07 [1212]~P6(a111,x12121,x12122)+P6(a111,f5(a111,x12121,x12122),f3(a111))
% 172.05/172.07 [1213]~P5(a109,x12131,x12132)+P5(a109,f5(a109,x12131,x12132),f3(a109))
% 172.05/172.07 [1320]P6(a110,x13201,x13202)+~P6(a110,f3(a110),f5(a110,x13202,x13201))
% 172.05/172.07 [1321]P6(a111,x13211,x13212)+~P6(a111,f5(a111,x13211,x13212),f3(a111))
% 172.05/172.07 [1322]P5(a109,x13221,x13222)+~P5(a109,f5(a109,x13221,x13222),f3(a109))
% 172.05/172.07 [775]~E(x7751,x7752)+P78(f33(f36(x7751),x7752))
% 172.05/172.07 [796]~P36(x7961)+E(f33(f33(f24(x7961),x7962),f4(a110)),x7962)
% 172.05/172.07 [797]~P55(x7971)+E(f33(f33(f24(x7971),x7972),f4(a110)),x7972)
% 172.05/172.07 [804]~P31(x8041)+E(f33(f33(f12(x8041),x8042),f4(x8041)),x8042)
% 172.05/172.07 [805]~P36(x8051)+E(f33(f33(f12(x8051),x8052),f4(x8051)),x8052)
% 172.05/172.07 [806]~P55(x8061)+E(f33(f33(f12(x8061),x8062),f4(x8061)),x8062)
% 172.05/172.07 [807]~P55(x8071)+E(f33(f33(f24(x8071),x8072),f3(a110)),f4(x8071))
% 172.05/172.07 [808]~P53(x8081)+E(f33(f33(f24(x8081),x8082),f3(a110)),f4(x8081))
% 172.05/172.07 [812]~P23(x8121)+E(f5(x8121,x8122,f3(x8121)),x8122)
% 172.05/172.07 [813]~P20(x8131)+E(f14(x8131,x8132,f23(x8131)),x8132)
% 172.05/172.07 [814]~P21(x8141)+E(f16(x8141,x8142,f2(x8141)),x8142)
% 172.05/172.07 [815]~P35(x8151)+E(f13(x8151,x8152,f3(x8151)),x8152)
% 172.05/172.07 [816]~P28(x8161)+E(f13(x8161,x8162,f3(x8161)),x8162)
% 172.05/172.07 [817]~P55(x8171)+E(f13(x8171,x8172,f3(x8171)),x8172)
% 172.05/172.07 [818]~P20(x8181)+E(f14(x8181,f23(x8181),x8182),x8182)
% 172.05/172.07 [819]~P21(x8191)+E(f16(x8191,f2(x8191),x8192),x8192)
% 172.05/172.07 [820]~P35(x8201)+E(f13(x8201,f3(x8201),x8202),x8202)
% 172.05/172.07 [821]~P28(x8211)+E(f13(x8211,f3(x8211),x8212),x8212)
% 172.05/172.07 [822]~P55(x8221)+E(f13(x8221,f3(x8221),x8222),x8222)
% 172.05/172.07 [823]E(x8231,x8232)+~P78(f33(f36(x8231),x8232))
% 172.05/172.07 [827]~P64(x8271)+E(f33(f33(f12(x8271),x8272),f3(x8271)),f3(x8271))
% 172.05/172.07 [828]~P55(x8281)+E(f33(f33(f12(x8281),x8282),f3(x8281)),f3(x8281))
% 172.05/172.07 [830]~P52(x8301)+E(f33(f33(f12(x8301),x8302),f3(x8301)),f3(x8301))
% 172.05/172.07 [832]E(x8321,f2(f114(x8322,a1)))+P78(f33(x8321,f59(x8321)))
% 172.05/172.07 [833]E(f2(f114(x8331,a1)),x8332)+P78(f33(x8332,f60(x8332)))
% 172.05/172.07 [835]~P21(x8351)+E(f14(x8351,x8352,f2(x8351)),f2(x8351))
% 172.05/172.07 [836]~P20(x8361)+E(f16(x8361,x8362,f23(x8361)),f23(x8361))
% 172.05/172.07 [837]~P21(x8371)+E(f14(x8371,f2(x8371),x8372),f2(x8371))
% 172.05/172.07 [838]~P20(x8381)+E(f16(x8381,f23(x8381),x8382),f23(x8381))
% 172.05/172.07 [936]P4(x9362,f61(x9361,x9362),x9361)+E(x9361,f2(f114(x9362,a1)))
% 172.05/172.07 [937]P4(x9372,f62(x9371,x9372),x9371)+E(x9371,f2(f114(x9372,a1)))
% 172.05/172.07 [979]E(x9791,x9792)+~E(f33(x9791,f38(x9792,x9791)),f33(x9792,f38(x9792,x9791)))
% 172.05/172.07 [1049]~P4(x10491,f74(x10492,x10491),x10492)+E(f23(f114(x10491,a1)),x10492)
% 172.05/172.07 [1051]~P5(a110,x10511,x10512)+E(f13(a110,x10511,f81(x10512,x10511)),x10512)
% 172.05/172.07 [1052]~P5(a110,x10521,x10522)+E(f13(a110,x10521,f95(x10522,x10521)),x10522)
% 172.05/172.07 [1055]~E(x10551,x10552)+P6(a111,x10551,f13(a111,x10552,f4(a111)))
% 172.05/172.07 [1101]~P58(x11011)+P6(x11011,x11012,f13(x11011,x11012,f4(x11011)))
% 172.05/172.07 [1139]P6(a110,x11392,x11391)+E(f13(a110,x11391,f5(a110,x11392,x11391)),x11392)
% 172.05/172.07 [1162]~P5(f114(x11622,a1),x11621,f2(f114(x11622,a1)))+E(x11621,f2(f114(x11622,a1)))
% 172.05/172.07 [1202]~P5(a110,x12022,x12021)+E(f5(a110,x12021,f5(a110,x12021,x12022)),x12022)
% 172.05/172.07 [1203]~P5(a110,x12031,x12032)+E(f13(a110,x12031,f5(a110,x12032,x12031)),x12032)
% 172.05/172.07 [1204]~P5(a110,x12042,x12041)+E(f13(a110,f5(a110,x12041,x12042),x12042),x12041)
% 172.05/172.07 [1216]~P6(a111,x12161,x12162)+P6(a111,x12161,f13(a111,x12162,f4(a111)))
% 172.05/172.07 [1217]~P5(a111,x12171,x12172)+P6(a111,x12171,f13(a111,x12172,f4(a111)))
% 172.05/172.07 [1218]~P6(a111,x12181,x12182)+P5(a111,x12181,f5(a111,x12182,f4(a111)))
% 172.05/172.07 [1220]~P6(a111,x12201,x12202)+P5(a111,f13(a111,x12201,f4(a111)),x12202)
% 172.05/172.07 [1307]~P5(a110,x13072,x13071)+E(f5(a109,f29(a110,x13071),f29(a110,x13072)),f29(a110,f5(a110,x13071,x13072)))
% 172.05/172.07 [1324]P6(a111,x13241,x13242)+~P5(a111,x13241,f5(a111,x13242,f4(a111)))
% 172.05/172.07 [1325]P5(a111,x13251,x13252)+~P6(a111,x13251,f13(a111,x13252,f4(a111)))
% 172.05/172.07 [1326]P6(a111,x13261,x13262)+~P5(a111,f13(a111,x13261,f4(a111)),x13262)
% 172.05/172.07 [1331]~P5(a110,x13311,x13312)+P6(a109,f29(a110,x13311),f13(a109,f29(a110,x13312),f4(a109)))
% 172.05/172.07 [1332]~P6(a110,x13321,x13322)+P5(a109,f13(a109,f29(a110,x13321),f4(a109)),f29(a110,x13322))
% 172.05/172.07 [1435]P6(a109,x14351,f29(a110,x14352))+~P5(a110,f13(a110,f27(x14351),f4(a110)),x14352)
% 172.05/172.07 [1560]P5(a110,x15601,x15602)+~P6(a109,f29(a110,x15601),f13(a109,f29(a110,x15602),f4(a109)))
% 172.05/172.07 [1561]P6(a110,x15611,x15612)+~P5(a109,f13(a109,f29(a110,x15611),f4(a109)),f29(a110,x15612))
% 172.05/172.07 [776]~E(x7762,f3(a110))+E(f33(f33(f12(a110),x7761),x7762),f3(a110))
% 172.05/172.07 [778]~E(x7781,f3(a110))+E(f33(f33(f12(a110),x7781),x7782),f3(a110))
% 172.05/172.07 [779]~E(x7792,f3(a110))+E(f33(f33(f24(a110),x7791),x7792),f4(a110))
% 172.05/172.07 [787]~P44(x7871)+E(f33(f33(f12(x7871),x7872),x7872),x7872)
% 172.05/172.07 [841]~P31(x8411)+E(f33(f33(f12(x8411),f4(x8411)),x8412),x8412)
% 172.05/172.07 [842]~P36(x8421)+E(f33(f33(f12(x8421),f4(x8421)),x8422),x8422)
% 172.05/172.07 [843]~P55(x8431)+E(f33(f33(f12(x8431),f4(x8431)),x8432),x8432)
% 172.05/172.07 [852]~P64(x8521)+E(f33(f33(f12(x8521),f3(x8521)),x8522),f3(x8521))
% 172.05/172.07 [853]~P55(x8531)+E(f33(f33(f12(x8531),f3(x8531)),x8532),f3(x8531))
% 172.05/172.07 [855]~P52(x8551)+E(f33(f33(f12(x8551),f3(x8551)),x8552),f3(x8551))
% 172.05/172.07 [856]~P36(x8561)+E(f33(f33(f24(x8561),f4(x8561)),x8562),f4(x8561))
% 172.05/172.07 [866]E(x8661,f4(a110))+~E(f33(f33(f12(a110),x8662),x8661),f4(a110))
% 172.05/172.07 [867]E(x8671,f4(a110))+~E(f33(f33(f12(a110),x8671),x8672),f4(a110))
% 172.05/172.07 [1046]~E(x10462,f3(a110))+P6(a110,f3(a110),f33(f33(f24(a110),x10461),x10462))
% 172.05/172.07 [1077]~P60(x10771)+P5(x10771,f3(x10771),f33(f33(f12(x10771),x10772),x10772))
% 172.05/172.07 [1179]~P6(a110,f3(a110),x11791)+P6(a110,f3(a110),f33(f33(f24(a110),x11791),x11792))
% 172.05/172.07 [1180]~P5(a111,f3(a111),x11801)+P5(a111,f3(a111),f33(f33(f24(a111),x11801),x11802))
% 172.05/172.07 [1255]~P60(x12551)+~P6(x12551,f33(f33(f12(x12551),x12552),x12552),f3(x12551))
% 172.05/172.07 [1288]P6(a110,f3(a110),x12881)+~P6(a110,f3(a110),f33(f33(f12(a110),x12882),x12881))
% 172.05/172.07 [1289]P6(a110,f3(a110),x12891)+~P6(a110,f3(a110),f33(f33(f12(a110),x12891),x12892))
% 172.05/172.07 [1313]~P5(a109,f3(a109),x13131)+E(f22(f13(a109,x13131,f29(a110,x13132))),f13(a110,f22(x13131),x13132))
% 172.05/172.07 [1314]~P5(a109,f3(a109),x13141)+E(f27(f13(a109,x13141,f29(a110,x13142))),f13(a110,f27(x13141),x13142))
% 172.05/172.07 [1393]~P5(a109,f29(a110,x13932),x13931)+E(f22(f5(a109,x13931,f29(a110,x13932))),f5(a110,f22(x13931),x13932))
% 172.05/172.07 [1394]~P5(a109,f29(a110,x13942),x13941)+E(f27(f5(a109,x13941,f29(a110,x13942))),f5(a110,f27(x13941),x13942))
% 172.05/172.07 [1755]~P68(x17551)+E(f33(f33(f12(x17551),f13(x17551,x17552,f4(x17551))),f5(x17551,x17552,f4(x17551))),f5(x17551,f33(f33(f12(x17551),x17552),x17552),f4(x17551)))
% 172.05/172.07 [1110]~E(f29(a110,f27(x11101)),x11101)+E(f27(f33(f33(f24(a109),x11101),x11102)),f33(f33(f24(a110),f27(x11101)),x11102))
% 172.05/172.07 [1163]~P3(x11631)+E(f6(x11631,f31(x11631,x11632,f2(f114(x11631,a1)))),x11632)
% 172.05/172.07 [1164]~P3(x11641)+E(f7(x11641,f31(x11641,x11642,f2(f114(x11641,a1)))),x11642)
% 172.05/172.07 [1283]~P6(a109,f3(a109),x12832)+E(f33(f33(f12(a109),f29(a110,x12831)),f28(x12832)),f28(f33(f33(f24(a109),x12832),x12831)))
% 172.05/172.07 [1492]E(x14921,f3(a109))+~E(f13(a109,f33(f33(f12(a109),x14922),x14922),f33(f33(f12(a109),x14921),x14921)),f3(a109))
% 172.05/172.07 [1493]E(x14931,f3(a109))+~E(f13(a109,f33(f33(f12(a109),x14931),x14931),f33(f33(f12(a109),x14932),x14932)),f3(a109))
% 172.05/172.07 [1496]~P55(x14961)+E(f13(x14961,x14962,x14962),f33(f33(f12(x14961),f13(x14961,f4(x14961),f4(x14961))),x14962))
% 172.05/172.07 [1535]E(x15351,f3(a110))+E(f33(f33(f12(a110),x15352),f33(f33(f24(a110),x15352),f5(a110,x15351,f4(a110)))),f33(f33(f24(a110),x15352),x15351))
% 172.05/172.07 [1713]~P6(a109,f3(a109),x17132)+P6(a109,x17131,f33(f33(f12(a109),f29(a110,f104(x17132,x17131))),x17132))
% 172.05/172.07 [1835]~P5(a109,f3(a109),x18352)+P5(a109,f13(a109,f33(f33(f12(a109),f29(a110,x18351)),x18352),f4(a109)),f33(f33(f24(a109),f13(a109,x18352,f4(a109))),x18351))
% 172.05/172.07 [1784]E(x17841,f3(a110))+E(f13(a110,x17842,f33(f33(f12(a110),f5(a110,x17841,f4(a110))),x17842)),f33(f33(f12(a110),x17841),x17842))
% 172.05/172.07 [798]~E(x7982,x7983)+P4(x7981,x7982,f36(x7983))
% 172.05/172.07 [868]~E(x8683,x8682)+P5(f114(x8681,a1),x8682,x8683)
% 172.05/172.07 [874]~E(x8742,x8743)+P5(f114(x8741,a1),x8742,x8743)
% 172.05/172.07 [913]E(x9131,x9132)+~P4(x9133,x9131,f36(x9132))
% 172.05/172.07 [922]P4(x9221,x9222,x9223)+~P78(f33(x9223,x9222))
% 172.05/172.07 [944]~P2(x9441)+E(f20(x9441,x9442,x9443),f19(x9441,x9442,x9443))
% 172.05/172.07 [945]~P19(x9451)+E(f14(x9451,x9452,x9453),f14(x9451,x9453,x9452))
% 172.05/172.07 [947]~P47(x9471)+E(f14(x9471,x9472,x9473),f14(x9471,x9473,x9472))
% 172.05/172.07 [948]~P19(x9481)+E(f16(x9481,x9482,x9483),f16(x9481,x9483,x9482))
% 172.05/172.07 [950]~P46(x9501)+E(f16(x9501,x9502,x9503),f16(x9501,x9503,x9502))
% 172.05/172.07 [951]~P55(x9511)+E(f13(x9511,x9512,x9513),f13(x9511,x9513,x9512))
% 172.05/172.07 [952]~P4(x9523,x9522,x9521)+P78(f33(x9521,x9522))
% 172.05/172.07 [972]~E(x9721,x9722)+~P6(f114(x9723,a1),x9721,x9722)
% 172.05/172.07 [993]P5(a110,x9931,x9932)+~E(x9932,f13(a110,x9931,x9933))
% 172.05/172.07 [1003]~P4(x10031,x10032,x10033)+E(f31(x10031,x10032,x10033),x10033)
% 172.05/172.07 [1057]E(x10571,x10572)+~E(f13(a110,x10573,x10571),f13(a110,x10573,x10572))
% 172.05/172.07 [1058]E(x10581,x10582)+~E(f13(a110,x10581,x10583),f13(a110,x10582,x10583))
% 172.05/172.07 [1059]~P19(x10591)+P5(x10591,x10592,f16(x10591,x10593,x10592))
% 172.05/172.07 [1060]~P46(x10601)+P5(x10601,x10602,f16(x10601,x10603,x10602))
% 172.05/172.07 [1061]~P19(x10611)+P5(x10611,x10612,f16(x10611,x10612,x10613))
% 172.05/172.07 [1062]~P46(x10621)+P5(x10621,x10622,f16(x10621,x10622,x10623))
% 172.05/172.07 [1063]~P19(x10631)+P5(x10631,f14(x10631,x10632,x10633),x10633)
% 172.05/172.07 [1064]~P47(x10641)+P5(x10641,f14(x10641,x10642,x10643),x10643)
% 172.05/172.07 [1065]~P19(x10651)+P5(x10651,f14(x10651,x10652,x10653),x10652)
% 172.05/172.07 [1066]~P47(x10661)+P5(x10661,f14(x10661,x10662,x10663),x10662)
% 172.05/172.07 [1122]~P6(f114(x11221,a1),x11222,x11223)+P5(f114(x11221,a1),x11222,x11223)
% 172.05/172.07 [1161]~P5(f114(x11611,a1),x11612,x11613)+P4(f114(x11611,a1),x11612,f30(x11611,x11613))
% 172.05/172.07 [1183]P4(x11831,f54(x11832,x11833,x11831),x11833)+P5(f114(x11831,a1),x11833,x11832)
% 172.05/172.07 [1189]~P4(f114(x11891,a1),x11892,f30(x11891,x11893))+P5(f114(x11891,a1),x11892,x11893)
% 172.05/172.07 [1191]~P6(a110,x11911,x11913)+P6(a110,x11911,f13(a110,x11912,x11913))
% 172.05/172.07 [1193]~P6(a110,x11931,x11932)+P6(a110,x11931,f13(a110,x11932,x11933))
% 172.05/172.07 [1195]~P5(a110,x11951,x11953)+P5(a110,x11951,f13(a110,x11952,x11953))
% 172.05/172.07 [1197]~P5(a110,x11971,x11972)+P5(a110,x11971,f13(a110,x11972,x11973))
% 172.05/172.07 [1198]~P6(a110,x11981,x11983)+P6(a110,f5(a110,x11981,x11982),x11983)
% 172.05/172.07 [1308]P6(a110,x13081,x13082)+~P6(a110,f13(a110,x13081,x13083),x13082)
% 172.05/172.07 [1311]P5(a110,x13111,x13112)+~P5(a110,f13(a110,x13113,x13111),x13112)
% 172.05/172.07 [1312]P5(a110,x13121,x13122)+~P5(a110,f13(a110,x13121,x13123),x13122)
% 172.05/172.07 [1387]~P4(x13871,f54(x13873,x13872,x13871),x13873)+P5(f114(x13871,a1),x13872,x13873)
% 172.05/172.07 [1416]~P6(a110,x14162,x14163)+P6(a110,f13(a110,x14161,x14162),f13(a110,x14161,x14163))
% 172.05/172.07 [1417]~P6(a110,x14171,x14173)+P6(a110,f13(a110,x14171,x14172),f13(a110,x14173,x14172))
% 172.05/172.07 [1418]~P6(a111,x14181,x14183)+P6(a111,f13(a111,x14181,x14182),f13(a111,x14183,x14182))
% 172.05/172.07 [1419]~P5(a109,x14192,x14193)+P5(a109,f13(a109,x14191,x14192),f13(a109,x14191,x14193))
% 172.05/172.07 [1420]~P5(a110,x14203,x14202)+P5(a110,f5(a110,x14201,x14202),f5(a110,x14201,x14203))
% 172.05/172.07 [1421]~P5(a110,x14211,x14213)+P5(a110,f5(a110,x14211,x14212),f5(a110,x14213,x14212))
% 172.05/172.07 [1422]~P5(a110,x14222,x14223)+P5(a110,f13(a110,x14221,x14222),f13(a110,x14221,x14223))
% 172.05/172.07 [1423]~P5(a110,x14231,x14233)+P5(a110,f13(a110,x14231,x14232),f13(a110,x14233,x14232))
% 172.05/172.07 [1424]~P5(a111,x14242,x14243)+P5(a111,f13(a111,x14241,x14242),f13(a111,x14241,x14243))
% 172.05/172.07 [1531]~P6(a110,f13(a110,x15311,x15313),x15312)+P6(a110,x15311,f5(a110,x15312,x15313))
% 172.05/172.07 [1532]~P5(a110,f5(a110,x15321,x15323),x15322)+P5(a110,x15321,f13(a110,x15322,x15323))
% 172.05/172.07 [1533]~P6(a110,x15331,f5(a110,x15333,x15332))+P6(a110,f13(a110,x15331,x15332),x15333)
% 172.05/172.07 [1534]~P5(a110,x15341,f13(a110,x15343,x15342))+P5(a110,f5(a110,x15341,x15342),x15343)
% 172.05/172.07 [1657]P6(a110,x16571,x16572)+~P6(a110,f13(a110,x16573,x16571),f13(a110,x16573,x16572))
% 172.05/172.07 [1658]P5(a110,x16581,x16582)+~P5(a110,f13(a110,x16583,x16581),f13(a110,x16583,x16582))
% 172.05/172.07 [895]~P78(f33(x8951,x8953))+~E(x8951,f2(f114(x8952,a1)))
% 172.05/172.07 [896]~P78(f33(x8962,x8963))+~E(f2(f114(x8961,a1)),x8962)
% 172.05/172.07 [983]~P4(x9832,x9833,x9831)+~E(x9831,f2(f114(x9832,a1)))
% 172.05/172.07 [1069]~P19(x10691)+E(f14(x10691,x10692,f16(x10691,x10692,x10693)),x10692)
% 172.05/172.07 [1070]~P19(x10701)+E(f16(x10701,x10702,f14(x10701,x10702,x10703)),x10702)
% 172.05/172.07 [1071]~P23(x10711)+E(f5(x10711,f13(x10711,x10712,x10713),x10713),x10712)
% 172.05/172.07 [1072]~P23(x10721)+E(f13(x10721,f5(x10721,x10722,x10723),x10723),x10722)
% 172.05/172.07 [1114]E(x11141,f2(f114(x11142,a1)))+~E(f16(f114(x11142,a1),x11143,x11141),f2(f114(x11142,a1)))
% 172.05/172.07 [1115]E(x11151,f2(f114(x11152,a1)))+~E(f16(f114(x11152,a1),x11151,x11153),f2(f114(x11152,a1)))
% 172.05/172.07 [1126]~P5(f114(x11261,a1),x11263,x11262)+E(f14(f114(x11261,a1),x11262,x11263),x11263)
% 172.05/172.07 [1127]~P5(f114(x11271,a1),x11272,x11273)+E(f14(f114(x11271,a1),x11272,x11273),x11272)
% 172.05/172.07 [1128]~P5(f114(x11281,a1),x11283,x11282)+E(f16(f114(x11281,a1),x11282,x11283),x11282)
% 172.05/172.07 [1130]~P5(f114(x11301,a1),x11302,x11303)+E(f16(f114(x11301,a1),x11302,x11303),x11303)
% 172.05/172.07 [1131]P5(f114(x11311,a1),x11312,x11313)+~E(f16(f114(x11311,a1),x11312,x11313),x11313)
% 172.05/172.07 [1135]~P3(x11351)+E(f16(x11351,x11352,f6(x11351,x11353)),f6(x11351,f31(x11351,x11352,x11353)))
% 172.05/172.07 [1136]~P3(x11361)+E(f14(x11361,x11362,f7(x11361,x11363)),f7(x11361,f31(x11361,x11362,x11363)))
% 172.05/172.07 [1140]E(f82(x11401,x11402,x11403),f87(x11401,x11402,x11403))+E(f14(f114(x11403,a1),x11402,x11401),f2(f114(x11403,a1)))
% 172.05/172.07 [1148]~P19(x11481)+E(f14(x11481,x11482,f14(x11481,x11482,x11483)),f14(x11481,x11482,x11483))
% 172.05/172.07 [1150]~P47(x11501)+E(f14(x11501,x11502,f14(x11501,x11502,x11503)),f14(x11501,x11502,x11503))
% 172.05/172.07 [1151]~P19(x11511)+E(f16(x11511,x11512,f16(x11511,x11512,x11513)),f16(x11511,x11512,x11513))
% 172.05/172.07 [1153]~P46(x11531)+E(f16(x11531,x11532,f16(x11531,x11532,x11533)),f16(x11531,x11532,x11533))
% 172.05/172.07 [1205]E(f5(f114(x12051,a1),x12052,x12053),x12052)+~E(f14(f114(x12051,a1),x12052,x12053),f2(f114(x12051,a1)))
% 172.05/172.07 [1258]P4(x12581,f82(x12583,x12582,x12581),x12582)+E(f14(f114(x12581,a1),x12582,x12583),f2(f114(x12581,a1)))
% 172.05/172.07 [1259]P4(x12591,f87(x12593,x12592,x12591),x12593)+E(f14(f114(x12591,a1),x12592,x12593),f2(f114(x12591,a1)))
% 172.05/172.07 [1276]~P4(f114(x12761,a1),x12762,x12763)+P5(f114(x12761,a1),x12762,f6(f114(x12761,a1),x12763))
% 172.05/172.07 [1277]~P4(f114(x12771,a1),x12773,x12772)+P5(f114(x12771,a1),f7(f114(x12771,a1),x12772),x12773)
% 172.05/172.07 [1305]~P5(f114(x13051,a1),x13052,x13053)+P5(f114(f114(x13051,a1),a1),f30(x13051,x13052),f30(x13051,x13053))
% 172.05/172.07 [1306]~P5(f114(x13061,a1),x13062,x13063)+P5(f114(f114(x13061,a1),a1),f26(x13061,x13062),f26(x13061,x13063))
% 172.05/172.07 [1327]P4(f114(x13271,a1),f55(x13272,x13273,x13271),x13273)+P4(x13271,x13272,f7(f114(x13271,a1),x13273))
% 172.05/172.07 [1358]P5(f114(x13581,a1),x13582,x13583)+P78(f33(x13582,f75(x13581,x13583,x13582)))
% 172.05/172.07 [1397]P4(f114(x13971,a1),f65(x13972,x13973,x13971),x13973)+P5(f114(x13971,a1),x13972,f7(f114(x13971,a1),x13973))
% 172.05/172.07 [1398]P4(f114(x13981,a1),f49(x13982,x13983,x13981),x13983)+P5(f114(x13981,a1),f6(f114(x13981,a1),x13983),x13982)
% 172.05/172.07 [1445]P4(x14451,x14452,f46(x14453,x14452,x14451))+~P4(x14451,x14452,f6(f114(x14451,a1),x14453))
% 172.05/172.07 [1499]~P4(x14991,x14992,f55(x14992,x14993,x14991))+P4(x14991,x14992,f7(f114(x14991,a1),x14993))
% 172.05/172.07 [1514]P4(f114(x15141,a1),f46(x15142,x15143,x15141),x15142)+~P4(x15141,x15143,f6(f114(x15141,a1),x15142))
% 172.05/172.07 [1525]~P5(a110,x15252,x15253)+E(f5(a110,f13(a110,x15251,x15252),x15253),f5(a110,x15251,f5(a110,x15253,x15252)))
% 172.05/172.07 [1527]~P5(a110,x15273,x15272)+E(f13(a110,x15271,f5(a110,x15272,x15273)),f5(a110,f13(a110,x15271,x15272),x15273))
% 172.05/172.07 [1529]~P5(a110,x15292,x15291)+E(f13(a110,f5(a110,x15291,x15292),x15293),f5(a110,f13(a110,x15291,x15293),x15292))
% 172.05/172.07 [1556]~P5(f114(f114(x15561,a1),a1),x15562,x15563)+P5(f114(x15561,a1),f6(f114(x15561,a1),x15562),f6(f114(x15561,a1),x15563))
% 172.05/172.07 [1557]~P5(f114(f114(x15571,a1),a1),x15573,x15572)+P5(f114(x15571,a1),f7(f114(x15571,a1),x15572),f7(f114(x15571,a1),x15573))
% 172.05/172.07 [1601]~P5(f114(x16011,a1),x16012,f65(x16012,x16013,x16011))+P5(f114(x16011,a1),x16012,f7(f114(x16011,a1),x16013))
% 172.05/172.07 [1602]~P5(f114(x16021,a1),f49(x16023,x16022,x16021),x16023)+P5(f114(x16021,a1),f6(f114(x16021,a1),x16022),x16023)
% 172.05/172.07 [1618]~P5(a110,x16183,x16182)+P5(a110,x16181,f5(a110,f13(a110,x16182,x16181),x16183))
% 172.05/172.07 [1655]P5(f114(x16551,a1),x16552,x16553)+~P78(f33(x16553,f75(x16551,x16553,x16552)))
% 172.05/172.07 [878]~P1(x8782)+E(f33(f23(f114(x8781,x8782)),x8783),f23(x8782))
% 172.05/172.07 [879]~P18(x8792)+E(f33(f2(f114(x8791,x8792)),x8793),f2(x8792))
% 172.05/172.07 [914]~E(x9142,f3(a110))+E(f33(f33(f12(a110),x9141),x9142),f33(f33(f12(a110),x9143),x9142))
% 172.05/172.07 [916]~E(x9161,f3(a110))+E(f33(f33(f12(a110),x9161),x9162),f33(f33(f12(a110),x9161),x9163))
% 172.05/172.07 [941]~P55(x9411)+E(f33(f33(f12(x9411),x9412),x9413),f33(f33(f12(x9411),x9413),x9412))
% 172.05/172.07 [1291]P6(a110,f3(a110),x12911)+P5(a110,f33(f33(f12(a110),x12912),x12911),f33(f33(f12(a110),x12913),x12911))
% 172.05/172.07 [1292]P6(a110,f3(a110),x12921)+P5(a110,f33(f33(f12(a110),x12921),x12922),f33(f33(f12(a110),x12921),x12923))
% 172.05/172.07 [1351]~P5(a110,x13512,x13513)+P5(a110,f33(f33(f12(a110),x13511),x13512),f33(f33(f12(a110),x13511),x13513))
% 172.05/172.07 [1353]~P5(a110,x13531,x13533)+P5(a110,f33(f33(f12(a110),x13531),x13532),f33(f33(f12(a110),x13533),x13532))
% 172.05/172.07 [1401]E(x14011,x14012)+~E(f31(x14013,x14011,f2(f114(x14013,a1))),f31(x14013,x14012,f2(f114(x14013,a1))))
% 172.05/172.07 [1442]~P5(f114(x14421,a1),x14422,x14423)+E(f16(f114(x14421,a1),x14422,f5(f114(x14421,a1),x14423,x14422)),x14423)
% 172.05/172.07 [1446]P4(f114(x14461,a1),f89(x14463,x14462,x14461),x14462)+E(f14(f114(x14461,a1),f6(f114(x14461,a1),x14462),x14463),f2(f114(x14461,a1)))
% 172.05/172.07 [1567]E(x15671,x15672)+~P4(x15673,x15671,f31(x15673,x15672,f2(f114(x15673,a1))))
% 172.05/172.07 [1568]P6(a110,x15681,x15682)+~P6(a110,f33(f33(f12(a110),x15683),x15681),f33(f33(f12(a110),x15683),x15682))
% 172.05/172.07 [1569]P6(a110,x15691,x15692)+~P6(a110,f33(f33(f12(a110),x15691),x15693),f33(f33(f12(a110),x15692),x15693))
% 172.05/172.07 [1574]P6(a110,f3(a110),x15741)+~P6(a110,f33(f33(f12(a110),x15742),x15741),f33(f33(f12(a110),x15743),x15741))
% 172.05/172.07 [1575]P6(a110,f3(a110),x15751)+~P6(a110,f33(f33(f12(a110),x15751),x15752),f33(f33(f12(a110),x15751),x15753))
% 172.05/172.07 [1686]~E(f14(f114(x16861,a1),f89(x16863,x16862,x16861),x16863),f2(f114(x16861,a1)))+E(f14(f114(x16861,a1),f6(f114(x16861,a1),x16862),x16863),f2(f114(x16861,a1)))
% 172.05/172.07 [1141]~P44(x11411)+E(f33(f33(f12(x11411),x11412),f33(f33(f12(x11411),x11412),x11413)),f33(f33(f12(x11411),x11412),x11413))
% 172.05/172.07 [1638]P4(x16381,x16382,x16383)+E(f5(f114(x16381,a1),f31(x16381,x16382,x16383),f31(x16381,x16382,f2(f114(x16381,a1)))),x16383)
% 172.05/172.07 [1646]~P55(x16461)+E(f13(x16461,x16462,f33(f33(f12(x16461),x16463),x16462)),f33(f33(f12(x16461),f13(x16461,x16463,f4(x16461))),x16462))
% 172.05/172.07 [1647]~P55(x16471)+E(f13(x16471,f33(f33(f12(x16471),x16472),x16473),x16473),f33(f33(f12(x16471),f13(x16471,x16472,f4(x16471))),x16473))
% 172.05/172.07 [1757]~P60(x17571)+P5(x17571,f3(x17571),f13(x17571,f33(f33(f12(x17571),x17572),x17572),f33(f33(f12(x17571),x17573),x17573)))
% 172.05/172.07 [1816]~P60(x18161)+~P6(x18161,f13(x18161,f33(f33(f12(x18161),x18162),x18162),f33(f33(f12(x18161),x18163),x18163)),f3(x18161))
% 172.05/172.07 [1565]~P36(x15651)+E(f33(f33(f12(x15651),f33(f33(f24(x15651),x15652),x15653)),x15652),f33(f33(f12(x15651),x15652),f33(f33(f24(x15651),x15652),x15653)))
% 172.05/172.07 [1767]~P3(x17671)+E(f6(x17671,f31(x17671,x17672,f31(x17671,x17673,f2(f114(x17671,a1))))),f16(x17671,x17672,x17673))
% 172.05/172.07 [1768]~P3(x17681)+E(f7(x17681,f31(x17681,x17682,f31(x17681,x17683,f2(f114(x17681,a1))))),f14(x17681,x17682,x17683))
% 172.05/172.07 [1793]~P4(x17931,x17932,x17933)+E(f31(x17931,x17932,f5(f114(x17931,a1),x17933,f31(x17931,x17932,f2(f114(x17931,a1))))),x17933)
% 172.05/172.07 [1054]~E(x10542,x10543)+P4(x10541,x10542,f31(x10541,x10543,x10544))
% 172.05/172.07 [1225]~P4(x12251,x12252,x12254)+P4(x12251,x12252,f31(x12251,x12253,x12254))
% 172.05/172.07 [1323]~P5(f114(x13231,a1),x13232,x13234)+P5(f114(x13231,a1),x13232,f31(x13231,x13233,x13234))
% 172.05/172.07 [1425]P4(x14251,x14252,x14253)+~P5(f114(x14251,a1),f31(x14251,x14252,x14254),x14253)
% 172.05/172.07 [1490]~P5(f114(x14901,a1),f31(x14901,x14904,x14902),x14903)+P5(f114(x14901,a1),x14902,x14903)
% 172.05/172.07 [1555]~P5(f114(x15551,a1),x15553,x15554)+P5(f114(x15551,a1),f31(x15551,x15552,x15553),f31(x15551,x15552,x15554))
% 172.05/172.07 [1221]~E(x12212,x12214)+P78(f33(f31(x12211,x12212,x12213),x12214))
% 172.05/172.07 [1295]~P78(f33(x12953,x12954))+P78(f33(f31(x12951,x12952,x12953),x12954))
% 172.05/172.07 [1298]~P4(x12981,x12982,x12984)+P4(x12981,x12982,f16(f114(x12981,a1),x12983,x12984))
% 172.05/172.07 [1301]~P4(x13011,x13012,x13013)+P4(x13011,x13012,f16(f114(x13011,a1),x13013,x13014))
% 172.05/172.07 [1347]P4(x13471,x13473,x13472)+E(f14(f114(x13471,a1),x13472,f31(x13471,x13473,x13474)),f14(f114(x13471,a1),x13472,x13474))
% 172.05/172.07 [1349]P4(x13491,x13492,x13494)+E(f14(f114(x13491,a1),f31(x13491,x13492,x13493),x13494),f14(f114(x13491,a1),x13493,x13494))
% 172.05/172.07 [1370]~P19(x13701)+E(f14(x13701,x13702,f14(x13701,x13703,x13704)),f14(x13701,x13703,f14(x13701,x13702,x13704)))
% 172.05/172.07 [1372]~P47(x13721)+E(f14(x13721,x13722,f14(x13721,x13723,x13724)),f14(x13721,x13723,f14(x13721,x13722,x13724)))
% 172.05/172.07 [1373]~P19(x13731)+E(f16(x13731,x13732,f16(x13731,x13733,x13734)),f16(x13731,x13733,f16(x13731,x13732,x13734)))
% 172.05/172.07 [1375]~P46(x13751)+E(f16(x13751,x13752,f16(x13751,x13753,x13754)),f16(x13751,x13753,f16(x13751,x13752,x13754)))
% 172.05/172.07 [1376]~P55(x13761)+E(f13(x13761,x13762,f13(x13761,x13763,x13764)),f13(x13761,x13763,f13(x13761,x13762,x13764)))
% 172.05/172.07 [1378]~P19(x13781)+E(f14(x13781,f14(x13781,x13782,x13783),x13784),f14(x13781,x13782,f14(x13781,x13783,x13784)))
% 172.05/172.07 [1380]~P47(x13801)+E(f14(x13801,f14(x13801,x13802,x13803),x13804),f14(x13801,x13802,f14(x13801,x13803,x13804)))
% 172.05/172.07 [1381]~P19(x13811)+E(f16(x13811,f16(x13811,x13812,x13813),x13814),f16(x13811,x13812,f16(x13811,x13813,x13814)))
% 172.05/172.07 [1383]~P46(x13831)+E(f16(x13831,f16(x13831,x13832,x13833),x13834),f16(x13831,x13832,f16(x13831,x13833,x13834)))
% 172.05/172.07 [1384]~P27(x13841)+E(f13(x13841,f13(x13841,x13842,x13843),x13844),f13(x13841,x13842,f13(x13841,x13843,x13844)))
% 172.05/172.07 [1385]~P55(x13851)+E(f13(x13851,f13(x13851,x13852,x13853),x13854),f13(x13851,x13852,f13(x13851,x13853,x13854)))
% 172.05/172.07 [1386]~P55(x13861)+E(f13(x13861,f13(x13861,x13862,x13863),x13864),f13(x13861,f13(x13861,x13862,x13864),x13863))
% 172.05/172.07 [1427]~P4(x14271,x14272,x14274)+E(f5(f114(x14271,a1),f31(x14271,x14272,x14273),x14274),f5(f114(x14271,a1),x14273,x14274))
% 172.05/172.07 [1503]P4(x15031,x15032,x15033)+~P4(x15031,x15032,f5(f114(x15031,a1),x15033,x15034))
% 172.05/172.07 [1505]P4(x15051,x15052,x15053)+~P4(x15051,x15052,f14(f114(x15051,a1),x15054,x15053))
% 172.05/172.07 [1508]P4(x15081,x15082,x15083)+~P4(x15081,x15082,f14(f114(x15081,a1),x15083,x15084))
% 172.05/172.07 [1554]~P4(x15541,x15542,x15543)+~P4(x15541,x15542,f5(f114(x15541,a1),x15544,x15543))
% 172.05/172.07 [1592]~P9(x15922,x15923,x15921,x15924)+~E(x15921,f2(f114(x15922,a1)))
% 172.05/172.07 [1595]~P45(x15951)+E(f16(x15951,f14(x15951,x15952,x15953),f14(x15951,x15952,x15954)),f14(x15951,x15952,f16(x15951,x15953,x15954)))
% 172.05/172.07 [1596]~P45(x15961)+E(f14(x15961,f16(x15961,x15962,x15963),f16(x15961,x15962,x15964)),f16(x15961,x15962,f14(x15961,x15963,x15964)))
% 172.05/172.07 [1597]~P45(x15971)+E(f16(x15971,f14(x15971,x15972,x15973),f14(x15971,x15974,x15973)),f14(x15971,f16(x15971,x15972,x15974),x15973))
% 172.05/172.07 [1598]~P45(x15981)+E(f14(x15981,f16(x15981,x15982,x15983),f16(x15981,x15984,x15983)),f16(x15981,f14(x15981,x15982,x15984),x15983))
% 172.05/172.07 [1764]~P5(f114(x17641,a1),f5(f114(x17641,a1),x17642,x17643),x17644)+P5(f114(x17641,a1),x17642,f16(f114(x17641,a1),x17643,x17644))
% 172.05/172.07 [1765]~P5(f114(x17651,a1),x17652,f16(f114(x17651,a1),x17653,x17654))+P5(f114(x17651,a1),f5(f114(x17651,a1),x17652,x17653),x17654)
% 172.05/172.07 [1817]~P19(x18171)+P5(x18171,f16(x18171,x18172,f14(x18171,x18173,x18174)),f14(x18171,f16(x18171,x18172,x18173),f16(x18171,x18172,x18174)))
% 172.05/172.07 [1818]~P19(x18181)+P5(x18181,f16(x18181,f14(x18181,x18182,x18183),f14(x18181,x18182,x18184)),f14(x18181,x18182,f16(x18181,x18183,x18184)))
% 172.05/172.07 [1511]~P78(f33(x15113,x15114))+P78(f33(f16(f114(x15111,a1),x15112,x15113),x15114))
% 172.05/172.07 [1513]~P78(f33(x15132,x15134))+P78(f33(f16(f114(x15131,a1),x15132,x15133),x15134))
% 172.05/172.07 [1607]P4(x16071,x16072,x16074)+E(f31(x16071,x16072,f5(f114(x16071,a1),x16073,x16074)),f5(f114(x16071,a1),f31(x16071,x16072,x16073),x16074))
% 172.05/172.07 [1656]~E(x16563,x16564)+P9(x16561,x16562,f31(x16561,x16563,f2(f114(x16561,a1))),x16564)
% 172.05/172.07 [1665]~P4(x16651,x16652,x16653)+E(f31(x16651,x16652,f14(f114(x16651,a1),x16653,x16654)),f14(f114(x16651,a1),x16653,f31(x16651,x16652,x16654)))
% 172.05/172.07 [1667]~P4(x16671,x16672,x16674)+E(f31(x16671,x16672,f14(f114(x16671,a1),x16673,x16674)),f14(f114(x16671,a1),f31(x16671,x16672,x16673),x16674))
% 172.05/172.07 [1734]P78(f33(x17341,x17342))+~P78(f33(f14(f114(x17343,a1),x17344,x17341),x17342))
% 172.05/172.07 [1735]P78(f33(x17351,x17352))+~P78(f33(f14(f114(x17353,a1),x17351,x17354),x17352))
% 172.05/172.07 [1756]~P5(f114(x17561,a1),x17564,x17562)+E(f16(f114(x17561,a1),f14(f114(x17561,a1),x17562,x17563),x17564),f14(f114(x17561,a1),x17562,f16(f114(x17561,a1),x17563,x17564)))
% 172.05/172.07 [1794]E(x17941,x17942)+~P9(x17943,x17944,f31(x17943,x17941,f2(f114(x17943,a1))),x17942)
% 172.05/172.07 [1801]P5(f114(x18011,a1),x18012,x18013)+~E(f16(f114(x18011,a1),f14(f114(x18011,a1),x18013,x18014),x18012),f14(f114(x18011,a1),x18013,f16(f114(x18011,a1),x18014,x18012)))
% 172.05/172.07 [1333]~P55(x13331)+E(f33(f33(f12(x13331),x13332),f33(f33(f12(x13331),x13333),x13334)),f33(f33(f12(x13331),x13333),f33(f33(f12(x13331),x13332),x13334)))
% 172.05/172.07 [1579]~P52(x15791)+E(f5(x15791,f33(f33(f12(x15791),x15792),x15793),f33(f33(f12(x15791),x15792),x15794)),f33(f33(f12(x15791),x15792),f5(x15791,x15793,x15794)))
% 172.05/172.07 [1580]~P55(x15801)+E(f13(x15801,f33(f33(f12(x15801),x15802),x15803),f33(f33(f12(x15801),x15802),x15804)),f33(f33(f12(x15801),x15802),f13(x15801,x15803,x15804)))
% 172.05/172.07 [1582]~P52(x15821)+E(f13(x15821,f33(f33(f12(x15821),x15822),x15823),f33(f33(f12(x15821),x15822),x15824)),f33(f33(f12(x15821),x15822),f13(x15821,x15823,x15824)))
% 172.05/172.07 [1703]~P36(x17031)+E(f33(f33(f12(x17031),f33(f33(f24(x17031),x17032),x17033)),f33(f33(f24(x17031),x17032),x17034)),f33(f33(f24(x17031),x17032),f13(a110,x17033,x17034)))
% 172.05/172.07 [1704]~P55(x17041)+E(f33(f33(f12(x17041),f33(f33(f24(x17041),x17042),x17043)),f33(f33(f24(x17041),x17042),x17044)),f33(f33(f24(x17041),x17042),f13(a110,x17043,x17044)))
% 172.05/172.07 [1715]~P52(x17151)+E(f5(x17151,f33(f33(f12(x17151),x17152),x17153),f33(f33(f12(x17151),x17154),x17153)),f33(f33(f12(x17151),f5(x17151,x17152,x17154)),x17153))
% 172.05/172.07 [1716]~P51(x17161)+E(f13(x17161,f33(f33(f12(x17161),x17162),x17163),f33(f33(f12(x17161),x17164),x17163)),f33(f33(f12(x17161),f13(x17161,x17162,x17164)),x17163))
% 172.05/172.07 [1719]~P52(x17191)+E(f13(x17191,f33(f33(f12(x17191),x17192),x17193),f33(f33(f12(x17191),x17194),x17193)),f33(f33(f12(x17191),f13(x17191,x17192,x17194)),x17193))
% 172.05/172.07 [1720]~P55(x17201)+E(f13(x17201,f33(f33(f12(x17201),x17202),x17203),f33(f33(f12(x17201),x17204),x17203)),f33(f33(f12(x17201),f13(x17201,x17202,x17204)),x17203))
% 172.05/172.07 [1547]~P55(x15471)+E(f33(f33(f24(x15471),f33(f33(f24(x15471),x15472),x15473)),x15474),f33(f33(f24(x15471),x15472),f33(f33(f12(a110),x15473),x15474)))
% 172.05/172.07 [1548]~P36(x15481)+E(f33(f33(f24(x15481),f33(f33(f24(x15481),x15482),x15483)),x15484),f33(f33(f24(x15481),x15482),f33(f33(f12(a110),x15483),x15484)))
% 172.05/172.07 [1563]~P26(x15631)+E(f33(f33(f12(x15631),f33(f33(f12(x15631),x15632),x15633)),x15634),f33(f33(f12(x15631),x15632),f33(f33(f12(x15631),x15633),x15634)))
% 172.05/172.07 [1564]~P55(x15641)+E(f33(f33(f12(x15641),f33(f33(f12(x15641),x15642),x15643)),x15644),f33(f33(f12(x15641),x15642),f33(f33(f12(x15641),x15643),x15644)))
% 172.05/172.07 [1702]~P55(x17021)+E(f33(f33(f12(x17021),f33(f33(f12(x17021),x17022),x17023)),x17024),f33(f33(f12(x17021),f33(f33(f12(x17021),x17022),x17024)),x17023))
% 172.05/172.07 [1771]~P31(x17711)+E(f33(f33(f12(x17711),f33(f33(f24(x17711),x17712),x17713)),f33(f33(f24(x17711),x17714),x17713)),f33(f33(f24(x17711),f33(f33(f12(x17711),x17712),x17714)),x17713))
% 172.05/172.07 [1772]~P55(x17721)+E(f33(f33(f12(x17721),f33(f33(f24(x17721),x17722),x17723)),f33(f33(f24(x17721),x17724),x17723)),f33(f33(f24(x17721),f33(f33(f12(x17721),x17722),x17724)),x17723))
% 172.05/172.07 [1892]~P9(x18921,x18922,f31(x18921,x18923,x18924),x18925)+~P4(x18921,f101(x18925,x18924,x18923,x18922,x18921),f102(x18925,x18924,x18923,x18922,x18921))
% 172.05/172.07 [1893]~P9(x18931,x18932,f31(x18931,x18933,x18934),x18935)+~P4(x18931,f105(x18935,x18934,x18933,x18932,x18931),f106(x18935,x18934,x18933,x18932,x18931))
% 172.05/172.07 [1897]P8(x18971,x18971,x18972,f101(x18973,x18974,x18975,x18972,x18971),f102(x18973,x18974,x18975,x18972,x18971),x18973)+~P9(x18971,x18972,f31(x18971,x18975,x18974),x18973)
% 172.05/172.07 [1898]P8(x18981,x18981,x18982,f105(x18983,x18984,x18985,x18982,x18981),f106(x18983,x18984,x18985,x18982,x18981),x18983)+~P9(x18981,x18982,f31(x18981,x18985,x18984),x18983)
% 172.05/172.07 [1729]~P24(x17291)+E(f13(x17291,f5(x17291,x17292,x17293),f5(x17291,x17294,x17295)),f5(x17291,f13(x17291,x17292,x17294),f13(x17291,x17293,x17295)))
% 172.05/172.07 [1730]~P55(x17301)+E(f13(x17301,f13(x17301,x17302,x17303),f13(x17301,x17304,x17305)),f13(x17301,f13(x17301,x17302,x17304),f13(x17301,x17303,x17305)))
% 172.05/172.07 [1888]~P9(x18881,x18885,f31(x18881,x18884,x18883),x18882)+E(f31(x18881,f101(x18882,x18883,x18884,x18885,x18881),f102(x18882,x18883,x18884,x18885,x18881)),f31(x18881,x18884,x18883))
% 172.05/172.07 [1889]~P9(x18891,x18895,f31(x18891,x18894,x18893),x18892)+E(f31(x18891,f105(x18892,x18893,x18894,x18895,x18891),f106(x18892,x18893,x18894,x18895,x18891)),f31(x18891,x18894,x18893))
% 172.05/172.07 [1894]E(x18941,x18942)+~P8(x18943,x18944,x18945,x18941,f2(f114(x18943,a1)),x18942)
% 172.05/172.07 [1285]~P22(x12852)+E(f33(f5(f114(x12851,x12852),x12853,x12854),x12855),f5(x12852,f33(x12853,x12855),f33(x12854,x12855)))
% 172.05/172.07 [1286]~P19(x12862)+E(f33(f14(f114(x12861,x12862),x12863,x12864),x12865),f14(x12862,f33(x12863,x12865),f33(x12864,x12865)))
% 172.05/172.07 [1287]~P19(x12872)+E(f33(f16(f114(x12871,x12872),x12873,x12874),x12875),f16(x12872,f33(x12873,x12875),f33(x12874,x12875)))
% 172.05/172.07 [1796]~P55(x17961)+E(f33(f33(f12(x17961),f33(f33(f12(x17961),x17962),x17963)),f33(f33(f12(x17961),x17964),x17965)),f33(f33(f12(x17961),f33(f33(f12(x17961),x17962),x17964)),f33(f33(f12(x17961),x17963),x17965)))
% 172.05/172.07 [1838]~P69(x18381)+E(f13(x18381,f33(f33(f12(x18381),x18382),f5(x18381,x18383,x18384)),f33(f33(f12(x18381),f5(x18381,x18382,x18385)),x18384)),f5(x18381,f33(f33(f12(x18381),x18382),x18383),f33(f33(f12(x18381),x18385),x18384)))
% 172.05/172.07 [1884]~P52(x18841)+E(f13(x18841,f13(x18841,f33(f33(f12(x18841),f5(x18841,x18842,x18843)),f5(x18841,x18844,x18845)),f33(f33(f12(x18841),f5(x18841,x18842,x18843)),x18845)),f33(f33(f12(x18841),x18843),f5(x18841,x18844,x18845))),f5(x18841,f33(f33(f12(x18841),x18842),x18844),f33(f33(f12(x18841),x18843),x18845)))
% 172.05/172.07 [1829]~P75(x18291)+E(f13(x18291,f33(f33(f12(x18291),x18292),x18293),f13(x18291,f33(f33(f12(x18291),x18294),x18293),x18295)),f13(x18291,f33(f33(f12(x18291),f13(x18291,x18292,x18294)),x18293),x18295))
% 172.05/172.07 [1860]~P5(a110,x18601,x18604)+E(f5(a110,f13(a110,f33(f33(f12(a110),x18601),x18602),x18603),f13(a110,f33(f33(f12(a110),x18604),x18602),x18605)),f5(a110,x18603,f13(a110,f33(f33(f12(a110),f5(a110,x18604,x18601)),x18602),x18605)))
% 172.05/172.07 [1861]~P5(a110,x18614,x18611)+E(f5(a110,f13(a110,f33(f33(f12(a110),x18611),x18612),x18613),f13(a110,f33(f33(f12(a110),x18614),x18612),x18615)),f5(a110,f13(a110,f33(f33(f12(a110),f5(a110,x18611,x18614)),x18612),x18613),x18615))
% 172.05/172.07 [919]~E(x9191,f4(a109))+E(f28(x9191),f3(a109))+~P6(a109,f3(a109),x9191)
% 172.05/172.07 [923]~E(f28(x9231),f3(a109))+E(x9231,f4(a109))+~P6(a109,f3(a109),x9231)
% 172.05/172.07 [1185]~P6(a109,x11851,f4(a109))+~P6(a109,f3(a109),x11851)+P6(a109,f28(x11851),f3(a109))
% 172.05/172.07 [1206]~P6(a109,f3(a109),x12061)+~P6(a109,f28(x12061),f3(a109))+P6(a109,x12061,f4(a109))
% 172.05/172.07 [1208]~P6(a109,f3(a109),x12081)+~P6(a109,f3(a109),f28(x12081))+P6(a109,f4(a109),x12081)
% 172.05/172.07 [1210]~P6(a109,f3(a109),x12101)+~P5(a109,f3(a109),f28(x12101))+P5(a109,f4(a109),x12101)
% 172.05/172.07 [773]~P49(x7731)+~P15(x7731,x7732)+P14(x7731,x7732)
% 172.05/172.07 [774]~P49(x7741)+~P16(x7741,x7742)+P14(x7741,x7742)
% 172.05/172.07 [939]E(x9391,x9392)+P6(a110,x9392,x9391)+P6(a110,x9391,x9392)
% 172.05/172.07 [940]E(x9401,x9402)+P6(a111,x9402,x9401)+P6(a111,x9401,x9402)
% 172.05/172.07 [997]E(x9971,x9972)+P6(a109,x9971,x9972)+~P5(a109,x9971,x9972)
% 172.05/172.07 [1000]E(x10001,x10002)+P6(a110,x10001,x10002)+~P5(a110,x10001,x10002)
% 172.05/172.07 [1001]E(x10011,x10012)+P6(a111,x10011,x10012)+~P5(a111,x10011,x10012)
% 172.05/172.07 [1073]E(x10731,x10732)+~P5(a109,x10732,x10731)+~P5(a109,x10731,x10732)
% 172.05/172.07 [1074]E(x10741,x10742)+~P5(a110,x10742,x10741)+~P5(a110,x10741,x10742)
% 172.05/172.07 [1075]E(x10751,x10752)+~P5(a111,x10752,x10751)+~P5(a111,x10751,x10752)
% 172.05/172.07 [809]~E(x8092,f3(a110))+~E(x8091,f3(a110))+E(f13(a110,x8091,x8092),f3(a110))
% 172.05/172.07 [851]~P32(x8511)+~E(x8512,f3(x8511))+E(f13(x8511,x8512,x8512),f3(x8511))
% 172.05/172.07 [925]~P32(x9252)+~E(f13(x9252,x9251,x9251),f3(x9252))+E(x9251,f3(x9252))
% 172.05/172.07 [973]~P49(x9731)+P15(x9731,x9732)+P5(a110,f37(x9732,x9731),f52(x9732,x9731))
% 172.05/172.07 [974]~P49(x9741)+P16(x9741,x9742)+P5(a110,f53(x9742,x9741),f56(x9742,x9741))
% 172.05/172.07 [975]~P49(x9751)+P14(x9751,x9752)+P5(a110,f64(x9752,x9751),f67(x9752,x9751))
% 172.05/172.07 [976]~P49(x9761)+P14(x9761,x9762)+P5(a110,f68(x9762,x9761),f69(x9762,x9761))
% 172.05/172.07 [977]~P49(x9771)+P14(x9771,x9772)+P5(a110,f70(x9772,x9771),f71(x9772,x9771))
% 172.05/172.07 [978]~P49(x9781)+P14(x9781,x9782)+P5(a110,f72(x9782,x9781),f73(x9782,x9781))
% 172.05/172.07 [1083]E(x10831,x10832)+~E(f5(a110,x10832,x10831),f3(a110))+~E(f5(a110,x10831,x10832),f3(a110))
% 172.05/172.07 [1242]~P5(a110,f22(x12421),x12422)+P5(a109,x12421,f29(a110,x12422))+~P5(a109,f3(a109),x12421)
% 172.05/172.07 [1243]~P5(a110,x12431,f27(x12432))+P5(a109,f29(a110,x12431),x12432)+~P5(a109,f3(a109),x12432)
% 172.05/172.07 [1244]~P6(a109,f3(a109),x12441)+~P6(a110,f3(a110),x12442)+P6(a109,f3(a109),f99(x12441,x12442))
% 172.05/172.07 [1245]~P6(a109,f3(a109),x12451)+~P6(a110,f3(a110),x12452)+P6(a109,f3(a109),f103(x12451,x12452))
% 172.05/172.07 [1246]~P5(a111,f3(a111),x12462)+~P5(a111,f3(a111),x12461)+P5(a111,f3(a111),f21(x12461,x12462))
% 172.05/172.07 [1267]P6(a110,f27(x12671),x12672)+~P6(a109,x12671,f29(a110,x12672))+~P5(a109,f3(a109),x12671)
% 172.05/172.07 [1271]~P32(x12711)+~P6(x12711,f3(x12711),x12712)+P6(x12711,f3(x12711),f13(x12711,x12712,x12712))
% 172.05/172.07 [1272]~P32(x12721)+~P5(x12721,f3(x12721),x12722)+P5(x12721,f3(x12721),f13(x12721,x12722,x12722))
% 172.05/172.07 [1273]~P50(x12731)+~P6(x12731,x12732,f3(x12731))+P6(x12731,f13(x12731,x12732,x12732),f3(x12731))
% 172.05/172.07 [1274]~P32(x12741)+~P6(x12741,x12742,f3(x12741))+P6(x12741,f13(x12741,x12742,x12742),f3(x12741))
% 172.05/172.07 [1275]~P32(x12751)+~P5(x12751,x12752,f3(x12751))+P5(x12751,f13(x12751,x12752,x12752),f3(x12751))
% 172.05/172.07 [1388]~P50(x13881)+~P6(x13881,f13(x13881,x13882,x13882),f3(x13881))+P6(x13881,x13882,f3(x13881))
% 172.05/172.07 [1389]~P32(x13891)+~P6(x13891,f13(x13891,x13892,x13892),f3(x13891))+P6(x13891,x13892,f3(x13891))
% 172.05/172.07 [1390]~P32(x13901)+~P5(x13901,f13(x13901,x13902,x13902),f3(x13901))+P5(x13901,x13902,f3(x13901))
% 172.05/172.07 [1391]~P32(x13911)+~P6(x13911,f3(x13911),f13(x13911,x13912,x13912))+P6(x13911,f3(x13911),x13912)
% 172.05/172.07 [1392]~P32(x13921)+~P5(x13921,f3(x13921),f13(x13921,x13922,x13922))+P5(x13921,f3(x13921),x13922)
% 172.05/172.07 [1399]P6(a110,f5(a110,x13991,x13992),x13991)+~P6(a110,f3(a110),x13991)+~P6(a110,f3(a110),x13992)
% 172.05/172.07 [1404]~P5(a111,f3(a111),x14042)+~P5(a111,f3(a111),x14041)+P5(a111,f3(a111),f13(a111,x14041,x14042))
% 172.05/172.07 [1478]P6(a110,f3(a110),x14781)+P6(a110,f3(a110),x14782)+~P6(a110,f3(a110),f13(a110,x14782,x14781))
% 172.05/172.07 [1050]P6(a110,f80(x10502,x10501),x10502)+~P78(f33(x10501,x10502))+P78(f33(x10501,f3(a110)))
% 172.05/172.07 [1330]E(x13301,x13302)+P6(a111,x13301,x13302)+~P6(a111,x13301,f13(a111,x13302,f4(a111)))
% 172.05/172.07 [1436]~P49(x14361)+P15(x14361,x14362)+~P5(x14361,f33(x14362,f52(x14362,x14361)),f33(x14362,f37(x14362,x14361)))
% 172.05/172.07 [1437]~P49(x14371)+P16(x14371,x14372)+~P5(x14371,f33(x14372,f53(x14372,x14371)),f33(x14372,f56(x14372,x14371)))
% 172.05/172.07 [1438]~P49(x14381)+P14(x14381,x14382)+~P5(x14381,f33(x14382,f64(x14382,x14381)),f33(x14382,f67(x14382,x14381)))
% 172.05/172.07 [1439]~P49(x14391)+P14(x14391,x14392)+~P5(x14391,f33(x14392,f69(x14392,x14391)),f33(x14392,f68(x14392,x14391)))
% 172.05/172.07 [1440]~P49(x14401)+P14(x14401,x14402)+~P5(x14401,f33(x14402,f70(x14402,x14401)),f33(x14402,f71(x14402,x14401)))
% 172.05/172.07 [1441]~P49(x14411)+P14(x14411,x14412)+~P5(x14411,f33(x14412,f73(x14412,x14411)),f33(x14412,f72(x14412,x14411)))
% 172.05/172.07 [1645]E(f27(x16451),x16452)+~P5(a109,f29(a110,x16452),x16451)+~P6(a109,x16451,f13(a109,f29(a110,x16452),f4(a109)))
% 172.05/172.07 [1687]~P6(a109,f29(a110,x16872),x16871)+~P5(a109,x16871,f13(a109,f29(a110,x16872),f4(a109)))+E(f22(x16871),f13(a110,x16872,f4(a110)))
% 172.05/172.07 [789]~E(x7892,f4(a110))+~E(x7891,f4(a110))+E(f33(f33(f12(a110),x7891),x7892),f4(a110))
% 172.05/172.07 [875]E(x8751,f4(a110))+E(x8752,f3(a110))+~E(f33(f33(f12(a110),x8752),x8751),x8752)
% 172.05/172.07 [880]E(x8801,f3(a110))+E(x8802,f3(a110))+~E(f33(f33(f12(a110),x8802),x8801),f3(a110))
% 172.05/172.07 [1067]E(x10671,f4(a111))+~P6(a111,f3(a111),x10672)+~E(f33(f33(f12(a111),x10672),x10671),f4(a111))
% 172.05/172.07 [1068]E(x10681,f4(a111))+~P6(a111,f3(a111),x10681)+~E(f33(f33(f12(a111),x10681),x10682),f4(a111))
% 172.05/172.07 [1281]~P6(a109,f3(a109),x12811)+~P6(a110,f3(a110),x12812)+E(f33(f33(f24(a109),f99(x12811,x12812)),x12812),x12811)
% 172.05/172.07 [1282]~P6(a109,f3(a109),x12821)+~P6(a110,f3(a110),x12822)+E(f33(f33(f24(a109),f103(x12821,x12822)),x12822),x12821)
% 172.05/172.07 [1294]E(x12941,f3(a110))+P6(a110,f3(a110),x12942)+~P6(a110,f3(a110),f33(f33(f24(a110),x12942),x12941))
% 172.05/172.07 [1363]~P6(a109,f3(a109),x13632)+~P6(a109,f3(a109),x13631)+P6(a109,f3(a109),f33(f33(f12(a109),x13631),x13632))
% 172.05/172.07 [1364]~P6(a110,f3(a110),x13642)+~P6(a110,f3(a110),x13641)+P6(a110,f3(a110),f33(f33(f12(a110),x13641),x13642))
% 172.05/172.07 [1365]~P5(a111,f3(a111),x13652)+~P5(a111,f3(a111),x13651)+P5(a111,f3(a111),f33(f33(f12(a111),x13651),x13652))
% 172.05/172.07 [1509]~P42(x15091)+~P4(x15091,x15092,f15(x15091))+~E(f13(x15091,f13(x15091,f4(x15091),x15092),x15092),f3(x15091))
% 172.05/172.07 [1600]~P78(f33(x16001,x16002))+P78(f33(x16001,f3(a110)))+P78(f33(x16001,f13(a110,f80(x16002,x16001),f4(a110))))
% 172.05/172.07 [1222]~E(x12222,f3(a109))+~E(x12221,f3(a109))+E(f13(a109,f33(f33(f12(a109),x12221),x12221),f33(f33(f12(a109),x12222),x12222)),f3(a109))
% 172.05/172.07 [1403]~P6(a109,f3(a109),x14032)+~P6(a109,f3(a109),x14031)+E(f28(f33(f33(f12(a109),x14031),x14032)),f13(a109,f28(x14031),f28(x14032)))
% 172.05/172.07 [1731]~P5(a109,f3(a109),x17312)+~P5(a109,f3(a109),x17311)+P5(a110,f33(f33(f12(a110),f27(x17311)),f27(x17312)),f27(f33(f33(f12(a109),x17311),x17312)))
% 172.05/172.07 [800]~E(x8002,x8003)+~P48(x8001)+P5(x8001,x8002,x8003)
% 172.05/172.07 [802]~E(x8022,x8023)+~P49(x8021)+P5(x8021,x8022,x8023)
% 172.05/172.07 [910]~P6(x9103,x9101,x9102)+~E(x9101,x9102)+~P17(x9103)
% 172.05/172.07 [911]~P6(x9113,x9111,x9112)+~E(x9111,x9112)+~P49(x9113)
% 172.05/172.07 [957]P5(x9571,x9573,x9572)+~P17(x9571)+P6(x9571,x9572,x9573)
% 172.05/172.07 [959]P5(x9591,x9593,x9592)+~P17(x9591)+P5(x9591,x9592,x9593)
% 172.05/172.07 [1008]~P2(x10081)+~P10(x10081,x10083,x10082)+P12(x10081,x10082,x10083)
% 172.05/172.07 [1010]~P48(x10101)+~P6(x10101,x10102,x10103)+P5(x10101,x10102,x10103)
% 172.05/172.07 [1012]~P49(x10121)+~P6(x10121,x10122,x10123)+P5(x10121,x10122,x10123)
% 172.05/172.07 [1089]~P6(x10891,x10893,x10892)+~P48(x10891)+~P6(x10891,x10892,x10893)
% 172.05/172.07 [1090]~P5(x10901,x10903,x10902)+~P48(x10901)+~P6(x10901,x10902,x10903)
% 172.05/172.07 [1091]~P6(x10911,x10913,x10912)+~P17(x10911)+~P6(x10911,x10912,x10913)
% 172.05/172.07 [1094]~P5(x10941,x10943,x10942)+~P17(x10941)+~P6(x10941,x10942,x10943)
% 172.05/172.07 [1095]~P6(x10951,x10953,x10952)+~P49(x10951)+~P6(x10951,x10952,x10953)
% 172.05/172.07 [1145]~P5(a109,x11451,x11453)+P5(a109,x11451,x11452)+~P5(a109,x11453,x11452)
% 172.05/172.07 [1146]~P5(a110,x11461,x11463)+P5(a110,x11461,x11462)+~P5(a110,x11463,x11462)
% 172.05/172.07 [1147]~P5(a111,x11471,x11473)+P5(a111,x11471,x11472)+~P5(a111,x11473,x11472)
% 172.05/172.07 [824]~E(x8242,x8243)+~P23(x8241)+E(f5(x8241,x8242,x8243),f3(x8241))
% 172.05/172.07 [825]~E(x8252,x8253)+~P24(x8251)+E(f5(x8251,x8252,x8253),f3(x8251))
% 172.05/172.07 [834]~P77(x8341)+~E(x8343,f3(x8341))+E(f13(x8341,x8342,x8343),x8342)
% 172.05/172.07 [917]~P77(x9172)+~E(f13(x9172,x9173,x9171),x9173)+E(x9171,f3(x9172))
% 172.05/172.07 [920]~P23(x9203)+E(x9201,x9202)+~E(f5(x9203,x9201,x9202),f3(x9203))
% 172.05/172.07 [921]~P24(x9213)+E(x9211,x9212)+~E(f5(x9213,x9211,x9212),f3(x9213))
% 172.05/172.07 [926]~P20(x9262)+~E(f14(x9262,x9263,x9261),f23(x9262))+E(x9261,f23(x9262))
% 172.05/172.07 [927]~P20(x9272)+~E(f14(x9272,x9271,x9273),f23(x9272))+E(x9271,f23(x9272))
% 172.05/172.07 [928]~P21(x9282)+~E(f16(x9282,x9283,x9281),f2(x9282))+E(x9281,f2(x9282))
% 172.05/172.07 [929]~P21(x9292)+~E(f16(x9292,x9291,x9293),f2(x9292))+E(x9291,f2(x9292))
% 172.05/172.07 [971]~P10(x9713,x9711,x9712)+~P2(x9713)+P78(f33(x9711,x9712))
% 172.05/172.07 [1013]~P47(x10131)+~P5(x10131,x10133,x10132)+E(f14(x10131,x10132,x10133),x10133)
% 172.05/172.07 [1015]~P47(x10151)+~P5(x10151,x10152,x10153)+E(f14(x10151,x10152,x10153),x10152)
% 172.05/172.07 [1016]~P46(x10161)+~P5(x10161,x10163,x10162)+E(f16(x10161,x10162,x10163),x10162)
% 172.05/172.07 [1018]~P46(x10181)+~P5(x10181,x10182,x10183)+E(f16(x10181,x10182,x10183),x10183)
% 172.05/172.07 [1022]~P47(x10221)+P5(x10221,x10222,x10223)+~E(f14(x10221,x10222,x10223),x10222)
% 172.05/172.07 [1023]~P46(x10231)+P5(x10231,x10232,x10233)+~E(f16(x10231,x10232,x10233),x10233)
% 172.05/172.07 [1079]~P3(x10791)+~P4(x10791,x10792,x10793)+P5(x10791,x10792,f6(x10791,x10793))
% 172.05/172.07 [1080]~P3(x10801)+~P4(x10801,x10803,x10802)+P5(x10801,f7(x10801,x10802),x10803)
% 172.05/172.07 [1133]E(x11331,x11332)+~P5(f114(x11333,a1),x11331,x11332)+P6(f114(x11333,a1),x11331,x11332)
% 172.05/172.07 [1154]~P5(a110,x11543,x11541)+~E(f5(a110,x11541,x11543),x11542)+E(x11541,f13(a110,x11542,x11543))
% 172.05/172.07 [1155]~P5(a110,x11552,x11551)+~E(x11551,f13(a110,x11553,x11552))+E(f5(a110,x11551,x11552),x11553)
% 172.05/172.08 [1156]~P2(x11561)+P12(x11561,x11562,x11563)+P4(x11561,f39(x11563,x11562,x11561),x11563)
% 172.05/172.08 [1157]~P2(x11571)+P12(x11571,x11572,x11573)+P4(x11571,f43(x11572,x11573,x11571),x11573)
% 172.05/172.08 [1158]~P2(x11581)+P13(x11581,x11582,x11583)+P4(x11581,f40(x11583,x11582,x11581),x11582)
% 172.05/172.08 [1159]~P2(x11591)+P13(x11591,x11592,x11593)+P4(x11591,f44(x11593,x11592,x11591),x11592)
% 172.05/172.08 [1215]E(x12151,x12152)+~P5(f114(x12153,a1),x12151,x12152)+~P5(f114(x12153,a1),x12152,x12151)
% 172.05/172.08 [1228]~P3(x12281)+P4(x12281,f48(x12283,x12282,x12281),x12283)+P5(x12281,x12282,f7(x12281,x12283))
% 172.05/172.08 [1229]~P3(x12291)+P4(x12291,f50(x12292,x12293,x12291),x12293)+P5(x12291,x12292,f7(x12291,x12293))
% 172.05/172.08 [1230]~P3(x12301)+P4(x12301,f41(x12303,x12302,x12301),x12302)+P5(x12301,f6(x12301,x12302),x12303)
% 172.05/172.08 [1231]~P3(x12311)+P4(x12311,f45(x12313,x12312,x12311),x12312)+P5(x12311,f6(x12311,x12312),x12313)
% 172.05/172.08 [1247]~P33(x12471)+~P6(x12471,x12472,x12473)+P6(x12471,f5(x12471,x12472,x12473),f3(x12471))
% 172.05/172.08 [1248]~P33(x12481)+~P5(x12481,x12482,x12483)+P5(x12481,f5(x12481,x12482,x12483),f3(x12481))
% 172.05/172.08 [1334]~P2(x13341)+P12(x13341,x13342,x13343)+~P5(x13341,x13342,f39(x13343,x13342,x13341))
% 172.05/172.08 [1335]~P2(x13351)+P12(x13351,x13352,x13353)+~P5(x13351,x13352,f43(x13352,x13353,x13351))
% 172.05/172.08 [1340]~P2(x13401)+P13(x13401,x13402,x13403)+~P5(x13401,f40(x13403,x13402,x13401),x13403)
% 172.05/172.08 [1341]~P2(x13411)+P13(x13411,x13412,x13413)+~P5(x13411,f44(x13413,x13412,x13411),x13413)
% 172.05/172.08 [1366]~P33(x13661)+P6(x13661,x13662,x13663)+~P6(x13661,f5(x13661,x13662,x13663),f3(x13661))
% 172.05/172.08 [1367]~P33(x13671)+P5(x13671,x13672,x13673)+~P5(x13671,f5(x13671,x13672,x13673),f3(x13671))
% 172.05/172.08 [1412]~P3(x14121)+~P5(x14121,x14122,f48(x14123,x14122,x14121))+P5(x14121,x14122,f7(x14121,x14123))
% 172.05/172.08 [1413]~P3(x14131)+~P5(x14131,x14132,f50(x14132,x14133,x14131))+P5(x14131,x14132,f7(x14131,x14133))
% 172.05/172.08 [1414]~P3(x14141)+~P5(x14141,f41(x14143,x14142,x14141),x14143)+P5(x14141,f6(x14141,x14142),x14143)
% 172.05/172.08 [1415]~P3(x14151)+~P5(x14151,f45(x14153,x14152,x14151),x14153)+P5(x14151,f6(x14151,x14152),x14153)
% 172.05/172.08 [1586]~P6(a110,x15863,x15861)+~P6(a110,x15863,x15862)+P6(a110,f5(a110,x15861,x15862),f5(a110,x15861,x15863))
% 172.05/172.08 [1587]~P6(a110,x15871,x15873)+~P5(a110,x15872,x15871)+P6(a110,f5(a110,x15871,x15872),f5(a110,x15873,x15872))
% 172.05/172.08 [1651]~P5(a110,x16512,x16513)+P6(a110,f76(x16513,x16512,x16511),f77(x16513,x16512,x16511))+P5(a110,f33(x16511,x16512),f33(x16511,x16513))
% 172.05/172.08 [1679]~P5(a110,x16793,x16792)+~P5(a110,f13(a110,x16791,x16793),x16792)+P5(a110,x16791,f5(a110,x16792,x16793))
% 172.05/172.08 [1680]~P5(a110,x16802,x16803)+~P5(a110,x16801,f5(a110,x16803,x16802))+P5(a110,f13(a110,x16801,x16802),x16803)
% 172.05/172.08 [1117]~E(x11173,f2(f114(x11171,a1)))+~E(x11172,f2(f114(x11171,a1)))+E(f16(f114(x11171,a1),x11172,x11173),f2(f114(x11171,a1)))
% 172.05/172.08 [1643]P6(a110,x16432,x16431)+E(f13(a110,x16431,f97(x16431,x16432,x16433)),x16432)+P78(f33(x16433,f5(a110,x16432,x16431)))
% 172.05/172.08 [1644]P6(a110,x16442,x16441)+E(f13(a110,x16441,f98(x16441,x16442,x16443)),x16442)+P78(f33(x16443,f5(a110,x16442,x16441)))
% 172.05/172.08 [1652]E(f13(a110,x16521,f97(x16521,x16522,x16523)),x16522)+P78(f33(x16523,f5(a110,x16522,x16521)))+~P78(f33(x16523,f3(a110)))
% 172.05/172.08 [1653]E(f13(a110,x16531,f98(x16531,x16532,x16533)),x16532)+P78(f33(x16533,f5(a110,x16532,x16531)))+~P78(f33(x16533,f3(a110)))
% 172.05/172.08 [1669]~P5(a110,x16692,x16693)+~P5(a110,x16692,x16691)+E(f5(a110,f5(a110,x16691,x16692),f5(a110,x16693,x16692)),f5(a110,x16691,x16693))
% 172.05/172.08 [1684]~P6(a110,x16842,x16843)+~P78(f33(x16841,f5(a110,x16842,x16843)))+P78(f33(x16841,f3(a110)))
% 172.05/172.08 [1788]P6(a110,x17881,x17882)+~P78(f33(x17883,f97(x17882,x17881,x17883)))+P78(f33(x17883,f5(a110,x17881,x17882)))
% 172.05/172.08 [1789]P6(a110,x17891,x17892)+~P78(f33(x17893,f98(x17892,x17891,x17893)))+P78(f33(x17893,f5(a110,x17891,x17892)))
% 172.05/172.08 [1790]~P78(f33(x17901,f97(x17903,x17902,x17901)))+P78(f33(x17901,f5(a110,x17902,x17903)))+~P78(f33(x17901,f3(a110)))
% 172.05/172.08 [1791]~P78(f33(x17911,f98(x17913,x17912,x17911)))+P78(f33(x17911,f5(a110,x17912,x17913)))+~P78(f33(x17911,f3(a110)))
% 172.05/172.08 [1823]~P5(a110,x18232,x18233)+P5(a110,f33(x18231,x18232),f33(x18231,x18233))+~P6(a110,f33(x18231,f76(x18233,x18232,x18231)),f33(x18231,f77(x18233,x18232,x18231)))
% 172.05/172.08 [826]~P53(x8261)+~E(x8263,f3(a110))+E(f33(f33(f24(x8261),x8262),x8263),f4(x8261))
% 172.05/172.08 [839]~P67(x8391)+~E(x8393,f3(x8391))+E(f33(f33(f12(x8391),x8392),x8393),f3(x8391))
% 172.05/172.08 [840]~P67(x8401)+~E(x8402,f3(x8401))+E(f33(f33(f12(x8401),x8402),x8403),f3(x8401))
% 172.05/172.08 [918]~P74(x9182)+E(x9181,f3(x9182))+~E(f33(f33(f24(x9182),x9181),x9183),f3(x9182))
% 172.05/172.08 [1036]E(x10361,x10362)+E(x10363,f3(a109))+~E(f33(f33(f12(a109),x10363),x10361),f33(f33(f12(a109),x10363),x10362))
% 172.05/172.08 [1038]E(x10381,x10382)+E(x10383,f3(a110))+~E(f33(f33(f12(a110),x10383),x10381),f33(f33(f12(a110),x10383),x10382))
% 172.05/172.08 [1039]E(x10391,x10392)+E(x10393,f3(a109))+~E(f33(f33(f12(a109),x10391),x10393),f33(f33(f12(a109),x10392),x10393))
% 172.05/172.08 [1040]E(x10401,x10402)+E(x10403,f3(a110))+~E(f33(f33(f12(a110),x10401),x10403),f33(f33(f12(a110),x10402),x10403))
% 172.05/172.08 [1181]E(x11811,x11812)+~P6(a110,f3(a110),x11813)+~E(f33(f33(f12(a110),x11813),x11811),f33(f33(f12(a110),x11813),x11812))
% 172.05/172.08 [1260]~P58(x12601)+~P6(x12601,f3(x12601),x12602)+P6(x12601,f3(x12601),f33(f33(f24(x12601),x12602),x12603))
% 172.05/172.08 [1261]~P58(x12611)+~P5(x12611,f3(x12611),x12612)+P5(x12611,f3(x12611),f33(f33(f24(x12611),x12612),x12613))
% 172.05/172.08 [1262]~P58(x12621)+~P5(x12621,f4(x12621),x12622)+P5(x12621,f4(x12621),f33(f33(f24(x12621),x12622),x12623))
% 172.05/172.08 [1263]~P68(x12631)+~P4(x12631,x12632,f15(x12631))+P4(x12631,f33(f33(f24(x12631),x12632),x12633),f15(x12631))
% 172.05/172.08 [1536]~P6(a109,x15361,x15363)+~P6(a109,f3(a109),x15362)+P6(a109,f33(f33(f12(a109),x15361),x15362),f33(f33(f12(a109),x15363),x15362))
% 172.05/172.08 [1537]~P6(a109,x15372,x15373)+~P6(a109,f3(a109),x15371)+P6(a109,f33(f33(f12(a109),x15371),x15372),f33(f33(f12(a109),x15371),x15373))
% 172.05/172.08 [1541]~P6(a110,x15411,x15413)+~P6(a110,f3(a110),x15412)+P6(a110,f33(f33(f12(a110),x15411),x15412),f33(f33(f12(a110),x15413),x15412))
% 172.05/172.08 [1542]~P6(a110,x15422,x15423)+~P6(a110,f3(a110),x15421)+P6(a110,f33(f33(f12(a110),x15421),x15422),f33(f33(f12(a110),x15421),x15423))
% 172.05/172.08 [1543]~P6(a111,x15432,x15433)+~P6(a111,f3(a111),x15431)+P6(a111,f33(f33(f12(a111),x15431),x15432),f33(f33(f12(a111),x15431),x15433))
% 172.05/172.08 [1544]~P5(a109,x15442,x15443)+~P6(a109,f3(a109),x15441)+P5(a109,f33(f33(f12(a109),x15441),x15442),f33(f33(f12(a109),x15441),x15443))
% 172.05/172.08 [1545]~P5(a109,x15451,x15453)+~P6(a109,f3(a109),x15452)+P5(a109,f33(f33(f12(a109),x15451),x15452),f33(f33(f12(a109),x15453),x15452))
% 172.05/172.08 [1549]P4(f114(x15492,a1),f66(x15493,x15491,x15492),x15491)+P5(f114(x15492,a1),f7(f114(x15492,a1),x15491),x15493)+E(x15491,f2(f114(f114(x15492,a1),a1)))
% 172.05/172.08 [1583]P4(f114(x15831,a1),x15832,x15833)+~E(f93(x15833,x15832,x15831),f94(x15833,x15832,x15831))+E(f14(f114(x15831,a1),x15832,f6(f114(x15831,a1),x15833)),f2(f114(x15831,a1)))
% 172.05/172.08 [1688]P6(a109,x16881,x16882)+~P6(a109,f3(a109),x16883)+~P6(a109,f33(f33(f12(a109),x16881),x16883),f33(f33(f12(a109),x16882),x16883))
% 172.05/172.08 [1690]P6(a110,x16901,x16902)+~P6(a110,f3(a110),x16903)+~P6(a110,f33(f33(f24(a110),x16903),x16901),f33(f33(f24(a110),x16903),x16902))
% 172.05/172.08 [1691]P5(a109,x16911,x16912)+~P6(a109,f3(a109),x16913)+~P5(a109,f33(f33(f12(a109),x16913),x16911),f33(f33(f12(a109),x16913),x16912))
% 172.05/172.08 [1692]P5(a109,x16921,x16922)+~P6(a109,f3(a109),x16923)+~P5(a109,f33(f33(f12(a109),x16921),x16923),f33(f33(f12(a109),x16922),x16923))
% 172.05/172.08 [1694]P5(a110,x16941,x16942)+~P6(a110,f3(a110),x16943)+~P5(a110,f33(f33(f12(a110),x16943),x16941),f33(f33(f12(a110),x16943),x16942))
% 172.05/172.08 [1695]P5(a110,x16951,x16952)+~P6(a110,f3(a110),x16953)+~P5(a110,f33(f33(f12(a110),x16951),x16953),f33(f33(f12(a110),x16952),x16953))
% 172.05/172.08 [1701]~P5(f114(x17012,a1),f66(x17013,x17011,x17012),x17013)+P5(f114(x17012,a1),f7(f114(x17012,a1),x17011),x17013)+E(x17011,f2(f114(f114(x17012,a1),a1)))
% 172.05/172.08 [1759]~P5(f114(x17592,a1),x17591,f31(x17592,x17593,f2(f114(x17592,a1))))+E(x17591,f2(f114(x17592,a1)))+E(x17591,f31(x17592,x17593,f2(f114(x17592,a1))))
% 172.05/172.08 [1762]P4(f114(x17621,a1),x17622,x17623)+P4(f114(x17621,a1),f94(x17623,x17622,x17621),f31(f114(x17621,a1),x17622,x17623))+E(f14(f114(x17621,a1),x17622,f6(f114(x17621,a1),x17623)),f2(f114(x17621,a1)))
% 172.05/172.08 [1763]P4(f114(x17631,a1),x17632,x17633)+P4(f114(x17631,a1),f93(x17633,x17632,x17631),f31(f114(x17631,a1),x17632,x17633))+E(f14(f114(x17631,a1),x17632,f6(f114(x17631,a1),x17633)),f2(f114(x17631,a1)))
% 172.05/172.08 [1797]P4(f114(x17971,a1),x17972,x17973)+~E(f14(f114(x17971,a1),f94(x17973,x17972,x17971),f93(x17973,x17972,x17971)),f2(f114(x17971,a1)))+E(f14(f114(x17971,a1),x17972,f6(f114(x17971,a1),x17973)),f2(f114(x17971,a1)))
% 172.05/172.08 [1584]~P59(x15842)+E(x15841,f3(x15842))+~E(f13(x15842,f33(f33(f12(x15842),x15843),x15843),f33(f33(f12(x15842),x15841),x15841)),f3(x15842))
% 172.05/172.08 [1585]~P59(x15852)+E(x15851,f3(x15852))+~E(f13(x15852,f33(f33(f12(x15852),x15851),x15851),f33(f33(f12(x15852),x15853),x15853)),f3(x15852))
% 172.05/172.08 [1599]~P53(x15992)+E(x15991,f3(a110))+E(f33(f33(f12(x15992),x15993),f33(f33(f24(x15992),x15993),f5(a110,x15991,f4(a110)))),f33(f33(f24(x15992),x15993),x15991))
% 172.05/172.08 [1660]~P58(x16601)+~P6(x16601,f4(x16601),x16602)+P6(x16601,f4(x16601),f33(f33(f12(x16601),x16602),f33(f33(f24(x16601),x16602),x16603)))
% 172.05/172.08 [1754]~P58(x17541)+~P6(x17541,f4(x17541),x17542)+P6(x17541,f33(f33(f24(x17541),x17542),x17543),f33(f33(f12(x17541),x17542),f33(f33(f24(x17541),x17542),x17543)))
% 172.05/172.08 [1760]~P59(x17602)+E(x17601,f3(x17602))+P6(x17602,f3(x17602),f13(x17602,f33(f33(f12(x17602),x17603),x17603),f33(f33(f12(x17602),x17601),x17601)))
% 172.05/172.08 [1761]~P59(x17612)+E(x17611,f3(x17612))+P6(x17612,f3(x17612),f13(x17612,f33(f33(f12(x17612),x17611),x17611),f33(f33(f12(x17612),x17613),x17613)))
% 172.05/172.08 [1770]~P2(x17701)+P4(x17701,f47(x17702,x17703,x17701),x17703)+P78(f33(f19(x17701,f23(f114(x17701,a1)),x17703),x17702))
% 172.05/172.08 [1792]~P2(x17921)+~P5(x17921,f47(x17923,x17922,x17921),x17923)+P78(f33(f19(x17921,f23(f114(x17921,a1)),x17922),x17923))
% 172.05/172.08 [1819]~P59(x18192)+E(x18191,f3(x18192))+~P5(x18192,f13(x18192,f33(f33(f12(x18192),x18193),x18193),f33(f33(f12(x18192),x18191),x18191)),f3(x18192))
% 172.05/172.08 [1820]~P59(x18202)+E(x18201,f3(x18202))+~P5(x18202,f13(x18202,f33(f33(f12(x18202),x18201),x18201),f33(f33(f12(x18202),x18203),x18203)),f3(x18202))
% 172.05/172.08 [1827]~P4(a109,x18272,x18271)+P11(a109,f23(f114(a109,a1)),x18271,f100(x18271))+~P78(f33(f19(a109,f23(f114(a109,a1)),x18271),x18273))
% 172.05/172.08 [1828]~P4(a109,x18282,x18281)+P11(a109,f23(f114(a109,a1)),x18281,f107(x18281))+~P78(f33(f19(a109,f23(f114(a109,a1)),x18281),x18283))
% 172.05/172.08 [1814]~P36(x18141)+~P6(a110,f3(a110),x18143)+E(f33(f33(f12(x18141),f33(f33(f24(x18141),x18142),f5(a110,x18143,f4(a110)))),x18142),f33(f33(f24(x18141),x18142),x18143))
% 172.05/172.08 [1639]~P2(x16391)+P4(x16391,x16392,x16393)+~P11(x16391,x16393,x16394,x16392)
% 172.05/172.08 [1640]~P2(x16401)+P13(x16401,x16402,x16403)+~P11(x16401,x16404,x16402,x16403)
% 172.05/172.08 [1800]E(x18001,x18002)+~P11(a109,x18003,x18004,x18001)+~P11(a109,x18003,x18004,x18002)
% 172.05/172.08 [1097]~P29(x10973)+E(x10971,x10972)+~E(f13(x10973,x10974,x10971),f13(x10973,x10974,x10972))
% 172.05/172.08 [1098]~P30(x10983)+E(x10981,x10982)+~E(f13(x10983,x10984,x10981),f13(x10983,x10984,x10982))
% 172.05/172.08 [1100]~P29(x11003)+E(x11001,x11002)+~E(f13(x11003,x11001,x11004),f13(x11003,x11002,x11004))
% 172.05/172.08 [1124]~P5(f114(x11244,a1),x11243,x11241)+P78(f33(x11241,x11242))+~P78(f33(x11243,x11242))
% 172.05/172.08 [1142]~P2(x11422)+~P6(f114(x11421,x11422),x11423,x11424)+P5(f114(x11421,x11422),x11423,x11424)
% 172.05/172.08 [1233]~P46(x12331)+~P6(x12331,x12332,x12334)+P6(x12331,x12332,f16(x12331,x12333,x12334))
% 172.05/172.08 [1234]~P46(x12341)+~P6(x12341,x12342,x12343)+P6(x12341,x12342,f16(x12341,x12343,x12344))
% 172.05/172.08 [1235]~P46(x12351)+~P5(x12351,x12352,x12354)+P5(x12351,x12352,f16(x12351,x12353,x12354))
% 172.05/172.08 [1236]~P46(x12361)+~P5(x12361,x12362,x12363)+P5(x12361,x12362,f16(x12361,x12363,x12364))
% 172.05/172.08 [1237]~P47(x12371)+~P6(x12371,x12373,x12374)+P6(x12371,f14(x12371,x12372,x12373),x12374)
% 172.05/172.08 [1238]~P47(x12381)+~P6(x12381,x12382,x12384)+P6(x12381,f14(x12381,x12382,x12383),x12384)
% 172.05/172.08 [1239]~P47(x12391)+~P5(x12391,x12393,x12394)+P5(x12391,f14(x12391,x12392,x12393),x12394)
% 172.05/172.08 [1240]~P47(x12401)+~P5(x12401,x12402,x12404)+P5(x12401,f14(x12401,x12402,x12403),x12404)
% 172.05/172.08 [1249]~P2(x12491)+~P5(f114(x12492,x12491),x12494,x12493)+~P6(f114(x12492,x12491),x12493,x12494)
% 172.05/172.08 [1250]P4(x12501,x12502,x12503)+~P4(x12501,x12502,x12504)+~P6(f114(x12501,a1),x12504,x12503)
% 172.05/172.08 [1254]P4(x12541,x12542,x12543)+~P4(x12541,x12542,x12544)+~P5(f114(x12541,a1),x12544,x12543)
% 172.05/172.08 [1319]~P6(a110,x13193,x13194)+P6(a110,x13191,x13192)+~E(f13(a110,x13193,x13192),f13(a110,x13191,x13194))
% 172.05/172.08 [1329]E(x13291,x13292)+P4(x13293,x13291,x13294)+~P4(x13293,x13291,f31(x13293,x13292,x13294))
% 172.05/172.08 [1337]~P47(x13371)+P5(x13371,x13372,x13373)+~P5(x13371,x13372,f14(x13371,x13374,x13373))
% 172.05/172.08 [1339]~P47(x13391)+P5(x13391,x13392,x13393)+~P5(x13391,x13392,f14(x13391,x13393,x13394))
% 172.05/172.08 [1343]~P46(x13431)+P5(x13431,x13432,x13433)+~P5(x13431,f16(x13431,x13434,x13432),x13433)
% 172.05/172.08 [1345]~P46(x13451)+P5(x13451,x13452,x13453)+~P5(x13451,f16(x13451,x13452,x13454),x13453)
% 172.05/172.08 [1359]~P6(f114(x13591,a1),x13592,x13594)+~P6(f114(x13591,a1),x13594,x13593)+P6(f114(x13591,a1),x13592,x13593)
% 172.05/172.08 [1360]~P5(f114(x13601,a1),x13602,x13604)+~P6(f114(x13601,a1),x13604,x13603)+P6(f114(x13601,a1),x13602,x13603)
% 172.05/172.08 [1361]~P5(f114(x13611,a1),x13614,x13613)+~P6(f114(x13611,a1),x13612,x13614)+P6(f114(x13611,a1),x13612,x13613)
% 172.05/172.08 [1362]~P5(f114(x13621,a1),x13622,x13624)+~P5(f114(x13621,a1),x13624,x13623)+P5(f114(x13621,a1),x13622,x13623)
% 172.05/172.08 [1449]~P38(x14491)+~P6(x14491,x14493,x14494)+P6(x14491,f13(x14491,x14492,x14493),f13(x14491,x14492,x14494))
% 172.05/172.08 [1450]~P40(x14501)+~P6(x14501,x14503,x14504)+P6(x14501,f13(x14501,x14502,x14503),f13(x14501,x14502,x14504))
% 172.05/172.08 [1451]~P38(x14511)+~P6(x14511,x14512,x14514)+P6(x14511,f13(x14511,x14512,x14513),f13(x14511,x14514,x14513))
% 172.05/172.08 [1452]~P40(x14521)+~P6(x14521,x14522,x14524)+P6(x14521,f13(x14521,x14522,x14523),f13(x14521,x14524,x14523))
% 172.05/172.08 [1453]~P38(x14531)+~P5(x14531,x14533,x14534)+P5(x14531,f13(x14531,x14532,x14533),f13(x14531,x14532,x14534))
% 172.05/172.08 [1454]~P39(x14541)+~P5(x14541,x14543,x14544)+P5(x14541,f13(x14541,x14542,x14543),f13(x14541,x14542,x14544))
% 172.05/172.08 [1455]~P38(x14551)+~P5(x14551,x14552,x14554)+P5(x14551,f13(x14551,x14552,x14553),f13(x14551,x14554,x14553))
% 172.05/172.08 [1456]~P39(x14561)+~P5(x14561,x14562,x14564)+P5(x14561,f13(x14561,x14562,x14563),f13(x14561,x14564,x14563))
% 172.05/172.08 [1523]~P4(x15231,x15233,x15234)+~P6(f114(x15231,a1),x15232,x15234)+P6(f114(x15231,a1),x15232,f31(x15231,x15233,x15234))
% 172.05/172.08 [1524]~P4(x15241,x15242,x15244)+~P5(f114(x15241,a1),x15243,x15244)+P5(f114(x15241,a1),f31(x15241,x15242,x15243),x15244)
% 172.05/172.08 [1573]P4(x15731,x15732,x15733)+~P5(f114(x15731,a1),x15733,f31(x15731,x15732,x15734))+P5(f114(x15731,a1),x15733,x15734)
% 172.05/172.08 [1588]~P6(a110,x15882,x15884)+~P6(a110,x15881,x15883)+P6(a110,f13(a110,x15881,x15882),f13(a110,x15883,x15884))
% 172.05/172.08 [1589]~P6(a111,x15891,x15893)+~P5(a111,x15892,x15894)+P6(a111,f13(a111,x15891,x15892),f13(a111,x15893,x15894))
% 172.05/172.08 [1590]~P5(a110,x15902,x15904)+~P5(a110,x15901,x15903)+P5(a110,f13(a110,x15901,x15902),f13(a110,x15903,x15904))
% 172.05/172.08 [1648]~P4(x16481,x16484,x16483)+~P6(f114(x16481,a1),x16482,f31(x16481,x16484,x16483))+P6(f114(x16481,a1),x16482,x16483)
% 172.05/172.08 [1671]~P38(x16711)+P6(x16711,x16712,x16713)+~P6(x16711,f13(x16711,x16714,x16712),f13(x16711,x16714,x16713))
% 172.05/172.08 [1673]~P38(x16731)+P6(x16731,x16732,x16733)+~P6(x16731,f13(x16731,x16732,x16734),f13(x16731,x16733,x16734))
% 172.05/172.08 [1675]~P38(x16751)+P5(x16751,x16752,x16753)+~P5(x16751,f13(x16751,x16754,x16752),f13(x16751,x16754,x16753))
% 172.05/172.08 [1677]~P38(x16771)+P5(x16771,x16772,x16773)+~P5(x16771,f13(x16771,x16772,x16774),f13(x16771,x16773,x16774))
% 172.05/172.08 [1697]~P2(x16971)+P11(x16971,x16972,x16973,x16974)+~P10(x16971,f19(x16971,x16972,x16973),x16974)
% 172.05/172.08 [1736]~P2(x17361)+~P11(x17361,x17363,x17364,x17362)+P12(x17361,x17362,f20(x17361,x17363,x17364))
% 172.05/172.08 [1738]~P2(x17381)+~P11(x17381,x17382,x17383,x17384)+P10(x17381,f19(x17381,x17382,x17383),x17384)
% 172.05/172.08 [1400]~P4(x14001,x14002,x14004)+~P4(f114(x14001,a1),x14004,x14003)+P4(x14001,x14002,f6(f114(x14001,a1),x14003))
% 172.05/172.08 [1429]~P4(x14291,x14292,x14294)+P4(x14291,x14292,x14293)+P4(x14291,x14292,f5(f114(x14291,a1),x14294,x14293))
% 172.05/172.08 [1495]P4(x14951,x14952,x14953)+~P4(f114(x14951,a1),x14953,x14954)+~P4(x14951,x14952,f7(f114(x14951,a1),x14954))
% 172.05/172.08 [1498]~P4(x14981,x14982,x14984)+~P4(x14981,x14982,x14983)+P4(x14981,x14982,f14(f114(x14981,a1),x14983,x14984))
% 172.05/172.08 [1558]E(x15581,x15582)+P78(f33(x15583,x15582))+~P78(f33(f31(x15584,x15581,x15583),x15582))
% 172.05/172.08 [1594]P4(x15941,x15942,x15943)+P4(x15941,x15942,x15944)+~P4(x15941,x15942,f16(f114(x15941,a1),x15944,x15943))
% 172.05/172.08 [1604]~P2(x16041)+P4(x16041,x16042,x16043)+~P78(f33(f19(x16041,x16043,x16044),x16042))
% 172.05/172.08 [1606]~P2(x16061)+P13(x16061,x16062,x16063)+~P78(f33(f19(x16061,x16064,x16062),x16063))
% 172.05/172.08 [1661]~P5(f114(x16611,a1),x16612,x16613)+~P5(f114(x16611,a1),x16612,x16614)+P5(f114(x16611,a1),x16612,f14(f114(x16611,a1),x16613,x16614))
% 172.05/172.08 [1662]~P5(f114(x16621,a1),x16622,x16624)+~P5(f114(x16621,a1),x16623,x16624)+P5(f114(x16621,a1),f16(f114(x16621,a1),x16622,x16623),x16624)
% 172.05/172.08 [1682]~E(x16823,f13(a110,x16824,x16822))+P78(f33(x16821,x16822))+~P78(f33(x16821,f5(a110,x16823,x16824)))
% 172.05/172.08 [1785]~P2(x17851)+~P11(x17851,x17852,x17853,x17854)+P78(f33(f19(x17851,x17852,x17853),x17854))
% 172.05/172.08 [1885]~P2(x18852)+P5(f114(x18851,x18852),x18853,x18854)+~P5(x18852,f33(x18853,f42(x18854,x18853,x18851,x18852)),f33(x18854,f42(x18854,x18853,x18851,x18852)))
% 172.05/172.08 [1530]~P5(a110,x15302,x15304)+~P5(a110,x15301,x15303)+P5(a110,f33(f33(f12(a110),x15301),x15302),f33(f33(f12(a110),x15303),x15304))
% 172.05/172.08 [1591]~P78(f33(x15913,x15914))+~P78(f33(x15912,x15914))+P78(f33(f14(f114(x15911,a1),x15912,x15913),x15914))
% 172.05/172.08 [1663]~P5(f114(x16631,a1),x16634,x16632)+~P5(f114(x16631,a1),x16632,x16633)+E(f5(f114(x16631,a1),x16632,f5(f114(x16631,a1),x16633,x16634)),x16634)
% 172.05/172.08 [1685]~P4(f114(x16851,a1),x16852,x16854)+E(f14(f114(x16851,a1),x16852,x16853),f2(f114(x16851,a1)))+~E(f14(f114(x16851,a1),f6(f114(x16851,a1),x16854),x16853),f2(f114(x16851,a1)))
% 172.05/172.08 [1758]P78(f33(x17581,x17582))+P78(f33(x17583,x17582))+~P78(f33(f16(f114(x17584,a1),x17583,x17581),x17582))
% 172.05/172.08 [1824]~P4(x18241,x18243,x18242)+~P5(f114(x18241,a1),x18242,f31(x18241,x18243,x18244))+P5(f114(x18241,a1),f5(f114(x18241,a1),x18242,f31(x18241,x18243,f2(f114(x18241,a1)))),x18244)
% 172.05/172.08 [1848]~P4(x18481,x18483,x18482)+P5(f114(x18481,a1),x18482,f31(x18481,x18483,x18484))+~P5(f114(x18481,a1),f5(f114(x18481,a1),x18482,f31(x18481,x18483,f2(f114(x18481,a1)))),x18484)
% 172.05/172.08 [1201]~P2(x12011)+P5(x12011,f33(x12012,x12013),f33(x12014,x12013))+~P5(f114(x12015,x12011),x12012,x12014)
% 172.05/172.08 [1839]~P3(x18391)+P5(x18391,f9(x18392,x18391,x18393,x18394),f9(x18392,x18391,x18395,x18394))+~P5(f114(x18392,a1),x18393,x18395)
% 172.05/172.08 [1840]~P3(x18401)+P5(x18401,f10(x18402,x18401,x18403,x18404),f10(x18402,x18401,x18405,x18404))+~P5(f114(x18402,a1),x18405,x18403)
% 172.05/172.08 [1895]~P8(x18951,x18951,x18954,x18952,x18953,x18955)+P4(x18951,x18952,x18953)+P9(x18951,x18954,f31(x18951,x18952,x18953),x18955)
% 172.05/172.08 [1773]~P5(f114(x17731,a1),x17732,x17734)+~P5(f114(x17731,a1),x17735,x17733)+P5(f114(x17731,a1),f5(f114(x17731,a1),x17732,x17733),f5(f114(x17731,a1),x17734,x17735))
% 172.05/172.08 [1774]~P5(f114(x17741,a1),x17742,x17744)+~P5(f114(x17741,a1),x17743,x17745)+P5(f114(x17741,a1),f14(f114(x17741,a1),x17742,x17743),f14(f114(x17741,a1),x17744,x17745))
% 172.05/172.08 [1775]~P5(f114(x17751,a1),x17752,x17754)+~P5(f114(x17751,a1),x17753,x17755)+P5(f114(x17751,a1),f16(f114(x17751,a1),x17752,x17753),f16(f114(x17751,a1),x17754,x17755))
% 172.05/172.08 [1803]~P4(x18033,x18032,x18035)+P4(x18033,f78(x18031,x18034,x18035,x18033),f16(f114(x18033,a1),x18035,x18034))+P78(f33(x18031,x18032))
% 172.05/172.08 [1804]~P4(x18043,x18042,x18044)+P4(x18043,f78(x18041,x18044,x18045,x18043),f16(f114(x18043,a1),x18045,x18044))+P78(f33(x18041,x18042))
% 172.05/172.08 [1807]~P4(x18071,x18075,x18074)+P4(x18071,f83(x18072,x18073,x18074,x18071),f16(f114(x18071,a1),x18074,x18073))+~P78(f33(x18072,x18075))
% 172.05/172.08 [1808]~P4(x18081,x18085,x18083)+P4(x18081,f83(x18082,x18083,x18084,x18081),f16(f114(x18081,a1),x18084,x18083))+~P78(f33(x18082,x18085))
% 172.05/172.08 [1836]~P4(x18364,x18365,x18363)+~P78(f33(x18361,x18365))+P78(f33(x18361,f83(x18361,x18362,x18363,x18364)))
% 172.05/172.08 [1837]~P4(x18374,x18375,x18372)+~P78(f33(x18371,x18375))+P78(f33(x18371,f83(x18371,x18372,x18373,x18374)))
% 172.05/172.08 [1858]~P4(x18583,x18582,x18584)+P78(f33(x18581,x18582))+~P78(f33(x18581,f78(x18581,x18585,x18584,x18583)))
% 172.05/172.08 [1859]~P4(x18593,x18592,x18594)+P78(f33(x18591,x18592))+~P78(f33(x18591,f78(x18591,x18594,x18595,x18593)))
% 172.05/172.08 [1883]P4(x18831,f90(x18832,x18833,x18834,x18835,x18831),x18835)+~P5(f114(x18831,a1),x18835,x18834)+P5(f114(x18831,a1),f14(f114(x18831,a1),x18835,x18833),f14(f114(x18831,a1),x18834,x18832))
% 172.05/172.08 [1887]~P5(f114(x18875,a1),x18874,x18873)+P5(f114(x18875,a1),f14(f114(x18875,a1),x18874,x18871),f14(f114(x18875,a1),x18873,x18872))+P78(f33(x18871,f90(x18872,x18871,x18873,x18874,x18875)))
% 172.05/172.08 [1891]~P5(f114(x18911,a1),x18912,x18914)+P5(f114(x18911,a1),f14(f114(x18911,a1),x18912,x18913),f14(f114(x18911,a1),x18914,x18915))+~P78(f33(x18915,f90(x18915,x18913,x18914,x18912,x18911)))
% 172.05/172.08 [1708]~E(x17082,x17084)+~P77(x17081)+E(f13(x17081,f33(f33(f12(x17081),x17082),x17083),f33(f33(f12(x17081),x17084),x17085)),f13(x17081,f33(f33(f12(x17081),x17082),x17085),f33(f33(f12(x17081),x17084),x17083)))
% 172.05/172.08 [1724]~E(x17243,x17244)+~E(x17242,x17245)+E(f31(x17241,x17242,f31(x17241,x17243,f2(f114(x17241,a1)))),f31(x17241,x17244,f31(x17241,x17245,f2(f114(x17241,a1)))))
% 172.05/172.08 [1810]E(x18101,x18102)+E(x18103,x18101)+~E(f31(x18104,x18101,f31(x18104,x18105,f2(f114(x18104,a1)))),f31(x18104,x18102,f31(x18104,x18103,f2(f114(x18104,a1)))))
% 172.05/172.08 [1811]E(x18111,x18112)+E(x18113,x18111)+~E(f31(x18114,x18113,f31(x18114,x18112,f2(f114(x18114,a1)))),f31(x18114,x18115,f31(x18114,x18111,f2(f114(x18114,a1)))))
% 172.05/172.08 [1812]E(x18121,x18122)+E(x18121,x18123)+~E(f31(x18124,x18123,f31(x18124,x18122,f2(f114(x18124,a1)))),f31(x18124,x18125,f31(x18124,x18121,f2(f114(x18124,a1)))))
% 172.05/172.08 [1813]E(x18131,x18132)+E(x18131,x18133)+~E(f31(x18134,x18131,f31(x18134,x18135,f2(f114(x18134,a1)))),f31(x18134,x18132,f31(x18134,x18133,f2(f114(x18134,a1)))))
% 172.05/172.08 [1833]~P5(a110,x18333,x18332)+E(x18331,f13(a110,f33(f33(f12(a110),f5(a110,x18332,x18333)),x18334),x18335))+~E(f13(a110,f33(f33(f12(a110),x18333),x18334),x18331),f13(a110,f33(f33(f12(a110),x18332),x18334),x18335))
% 172.05/172.08 [1834]~P5(a110,x18342,x18341)+E(f13(a110,f33(f33(f12(a110),f5(a110,x18341,x18342)),x18343),x18344),x18345)+~E(f13(a110,f33(f33(f12(a110),x18341),x18343),x18344),f13(a110,f33(f33(f12(a110),x18342),x18343),x18345))
% 172.05/172.08 [1843]~P5(a110,x18434,x18431)+~E(x18435,f13(a110,f33(f33(f12(a110),f5(a110,x18431,x18434)),x18432),x18433))+E(f13(a110,f33(f33(f12(a110),x18431),x18432),x18433),f13(a110,f33(f33(f12(a110),x18434),x18432),x18435))
% 172.05/172.08 [1844]~P5(a110,x18444,x18441)+~E(f13(a110,f33(f33(f12(a110),f5(a110,x18441,x18444)),x18442),x18443),x18445)+E(f13(a110,f33(f33(f12(a110),x18441),x18442),x18443),f13(a110,f33(f33(f12(a110),x18444),x18442),x18445))
% 172.05/172.08 [1864]~P5(a110,x18643,x18642)+P6(a110,x18641,f13(a110,f33(f33(f12(a110),f5(a110,x18642,x18643)),x18644),x18645))+~P6(a110,f13(a110,f33(f33(f12(a110),x18643),x18644),x18641),f13(a110,f33(f33(f12(a110),x18642),x18644),x18645))
% 172.05/172.08 [1865]~P5(a110,x18653,x18652)+P5(a110,x18651,f13(a110,f33(f33(f12(a110),f5(a110,x18652,x18653)),x18654),x18655))+~P5(a110,f13(a110,f33(f33(f12(a110),x18653),x18654),x18651),f13(a110,f33(f33(f12(a110),x18652),x18654),x18655))
% 172.05/172.08 [1866]~P5(a110,x18662,x18661)+P6(a110,f13(a110,f33(f33(f12(a110),f5(a110,x18661,x18662)),x18663),x18664),x18665)+~P6(a110,f13(a110,f33(f33(f12(a110),x18661),x18663),x18664),f13(a110,f33(f33(f12(a110),x18662),x18663),x18665))
% 172.05/172.08 [1867]~P5(a110,x18672,x18671)+P5(a110,f13(a110,f33(f33(f12(a110),f5(a110,x18671,x18672)),x18673),x18674),x18675)+~P5(a110,f13(a110,f33(f33(f12(a110),x18671),x18673),x18674),f13(a110,f33(f33(f12(a110),x18672),x18673),x18675))
% 172.05/172.08 [1875]~P5(a110,x18751,x18754)+~P6(a110,x18753,f13(a110,f33(f33(f12(a110),f5(a110,x18754,x18751)),x18752),x18755))+P6(a110,f13(a110,f33(f33(f12(a110),x18751),x18752),x18753),f13(a110,f33(f33(f12(a110),x18754),x18752),x18755))
% 172.05/172.08 [1876]~P5(a110,x18761,x18764)+~P5(a110,x18763,f13(a110,f33(f33(f12(a110),f5(a110,x18764,x18761)),x18762),x18765))+P5(a110,f13(a110,f33(f33(f12(a110),x18761),x18762),x18763),f13(a110,f33(f33(f12(a110),x18764),x18762),x18765))
% 172.05/172.08 [1877]~P5(a110,x18774,x18771)+~P6(a110,f13(a110,f33(f33(f12(a110),f5(a110,x18771,x18774)),x18772),x18773),x18775)+P6(a110,f13(a110,f33(f33(f12(a110),x18771),x18772),x18773),f13(a110,f33(f33(f12(a110),x18774),x18772),x18775))
% 172.05/172.08 [1878]~P5(a110,x18784,x18781)+~P5(a110,f13(a110,f33(f33(f12(a110),f5(a110,x18781,x18784)),x18782),x18783),x18785)+P5(a110,f13(a110,f33(f33(f12(a110),x18781),x18782),x18783),f13(a110,f33(f33(f12(a110),x18784),x18782),x18785))
% 172.05/172.08 [1831]~P69(x18312)+~E(f13(x18312,f33(f33(f12(x18312),x18314),x18315),x18311),f13(x18312,f33(f33(f12(x18312),x18313),x18315),x18316))+E(x18311,f13(x18312,f33(f33(f12(x18312),f5(x18312,x18313,x18314)),x18315),x18316))
% 172.05/172.08 [1832]~P69(x18321)+~E(f13(x18321,f33(f33(f12(x18321),x18322),x18324),x18325),f13(x18321,f33(f33(f12(x18321),x18323),x18324),x18326))+E(f13(x18321,f33(f33(f12(x18321),f5(x18321,x18322,x18323)),x18324),x18325),x18326)
% 172.05/172.08 [1841]~P69(x18411)+~E(x18416,f13(x18411,f33(f33(f12(x18411),f5(x18411,x18412,x18415)),x18413),x18414))+E(f13(x18411,f33(f33(f12(x18411),x18412),x18413),x18414),f13(x18411,f33(f33(f12(x18411),x18415),x18413),x18416))
% 172.05/172.08 [1842]~P69(x18421)+~E(f13(x18421,f33(f33(f12(x18421),f5(x18421,x18422,x18425)),x18423),x18424),x18426)+E(f13(x18421,f33(f33(f12(x18421),x18422),x18423),x18424),f13(x18421,f33(f33(f12(x18421),x18425),x18423),x18426))
% 172.05/172.08 [1868]~P70(x18681)+~P6(x18681,f13(x18681,f33(f33(f12(x18681),x18684),x18685),x18682),f13(x18681,f33(f33(f12(x18681),x18683),x18685),x18686))+P6(x18681,x18682,f13(x18681,f33(f33(f12(x18681),f5(x18681,x18683,x18684)),x18685),x18686))
% 172.05/172.08 [1869]~P70(x18691)+~P5(x18691,f13(x18691,f33(f33(f12(x18691),x18694),x18695),x18692),f13(x18691,f33(f33(f12(x18691),x18693),x18695),x18696))+P5(x18691,x18692,f13(x18691,f33(f33(f12(x18691),f5(x18691,x18693,x18694)),x18695),x18696))
% 172.05/172.08 [1870]~P70(x18701)+~P6(x18701,f13(x18701,f33(f33(f12(x18701),x18702),x18704),x18705),f13(x18701,f33(f33(f12(x18701),x18703),x18704),x18706))+P6(x18701,f13(x18701,f33(f33(f12(x18701),f5(x18701,x18702,x18703)),x18704),x18705),x18706)
% 172.05/172.08 [1871]~P70(x18711)+~P5(x18711,f13(x18711,f33(f33(f12(x18711),x18712),x18714),x18715),f13(x18711,f33(f33(f12(x18711),x18713),x18714),x18716))+P5(x18711,f13(x18711,f33(f33(f12(x18711),f5(x18711,x18712,x18713)),x18714),x18715),x18716)
% 172.05/172.08 [1879]~P70(x18791)+~P6(x18791,x18794,f13(x18791,f33(f33(f12(x18791),f5(x18791,x18795,x18792)),x18793),x18796))+P6(x18791,f13(x18791,f33(f33(f12(x18791),x18792),x18793),x18794),f13(x18791,f33(f33(f12(x18791),x18795),x18793),x18796))
% 172.05/172.08 [1880]~P70(x18801)+~P5(x18801,x18804,f13(x18801,f33(f33(f12(x18801),f5(x18801,x18805,x18802)),x18803),x18806))+P5(x18801,f13(x18801,f33(f33(f12(x18801),x18802),x18803),x18804),f13(x18801,f33(f33(f12(x18801),x18805),x18803),x18806))
% 172.05/172.08 [1881]~P70(x18811)+~P6(x18811,f13(x18811,f33(f33(f12(x18811),f5(x18811,x18812,x18815)),x18813),x18814),x18816)+P6(x18811,f13(x18811,f33(f33(f12(x18811),x18812),x18813),x18814),f13(x18811,f33(f33(f12(x18811),x18815),x18813),x18816))
% 172.05/172.08 [1882]~P70(x18821)+~P5(x18821,f13(x18821,f33(f33(f12(x18821),f5(x18821,x18822,x18825)),x18823),x18824),x18826)+P5(x18821,f13(x18821,f33(f33(f12(x18821),x18822),x18823),x18824),f13(x18821,f33(f33(f12(x18821),x18825),x18823),x18826))
% 172.05/172.08 [1890]P7(x18901,x18902,x18903,x18904,x18905,f33(f33(x18903,x18906),x18907))+~E(f33(f33(x18903,x18906),x18907),x18904)+~E(x18905,f2(f114(x18901,a1)))
% 172.05/172.08 [1899]~P8(x18991,x18994,x18995,x18996,x18993,x18997)+P4(x18991,x18992,x18993)+P8(x18991,x18994,x18995,x18996,f31(x18991,x18992,x18993),f33(f33(x18995,x18992),x18997))
% 172.05/172.08 [1905]~P7(x19052,x19057,x19056,x19055,x19051,f33(f33(x19056,x19054),x19053))+P4(x19052,f91(x19053,x19054,x19051,x19055,x19056,x19057,x19052),x19051)+E(x19051,f2(f114(x19052,a1)))
% 172.05/172.08 [1906]~P7(x19065,x19067,x19061,x19064,x19066,f33(f33(x19061,x19062),x19063))+P4(x19065,f91(x19063,x19062,x19066,x19064,x19061,x19067,x19065),x19066)+E(f33(f33(x19061,x19062),x19063),x19064)
% 172.05/172.08 [1907]~P7(x19072,x19077,x19073,x19076,x19071,f33(f33(x19073,x19075),x19074))+E(f33(f33(x19073,f91(x19074,x19075,x19071,x19076,x19073,x19077,x19072)),f92(x19074,x19075,x19071,x19076,x19073,x19077,x19072)),f33(f33(x19073,x19075),x19074))+E(x19071,f2(f114(x19072,a1)))
% 172.05/172.08 [1908]~P7(x19087,x19086,x19081,x19084,x19085,f33(f33(x19081,x19082),x19083))+E(f33(f33(x19081,f91(x19083,x19082,x19085,x19084,x19081,x19086,x19087)),f92(x19083,x19082,x19085,x19084,x19081,x19086,x19087)),f33(f33(x19081,x19082),x19083))+E(f33(f33(x19081,x19082),x19083),x19084)
% 172.05/172.08 [1901]~P4(x19011,x19016,x19015)+P7(x19011,x19012,x19013,x19014,x19015,f33(f33(x19013,x19016),x19017))+~P7(x19011,x19012,x19013,x19014,f5(f114(x19011,a1),x19015,f31(x19011,x19016,f2(f114(x19011,a1)))),x19017)
% 172.05/172.08 [1902]~P4(x19021,x19026,x19025)+P8(x19021,x19022,x19023,x19024,x19025,f33(f33(x19023,x19026),x19027))+~P8(x19021,x19022,x19023,x19024,f5(f114(x19021,a1),x19025,f31(x19021,x19026,f2(f114(x19021,a1)))),x19027)
% 172.05/172.08 [1909]~P7(x19092,x19093,x19094,x19095,x19091,f33(f33(x19094,x19097),x19096))+P7(x19092,x19093,x19094,x19095,f5(f114(x19092,a1),x19091,f31(x19092,f91(x19096,x19097,x19091,x19095,x19094,x19093,x19092),f2(f114(x19092,a1)))),f92(x19096,x19097,x19091,x19095,x19094,x19093,x19092))+E(x19091,f2(f114(x19092,a1)))
% 172.05/172.08 [1910]~P7(x19105,x19106,x19101,x19104,x19107,f33(f33(x19101,x19102),x19103))+P7(x19105,x19106,x19101,x19104,f5(f114(x19105,a1),x19107,f31(x19105,f91(x19103,x19102,x19107,x19104,x19101,x19106,x19105),f2(f114(x19105,a1)))),f92(x19103,x19102,x19107,x19104,x19101,x19106,x19105))+E(f33(f33(x19101,x19102),x19103),x19104)
% 172.05/172.08 [1076]~P42(x10761)+~P4(x10761,x10762,f15(x10761))+~E(x10762,f3(x10761))+E(f13(x10761,x10762,x10762),f3(x10761))
% 172.05/172.08 [1116]E(x11161,x11162)+~E(f28(x11161),f28(x11162))+~P6(a109,f3(a109),x11162)+~P6(a109,f3(a109),x11161)
% 172.05/172.08 [1125]~P42(x11252)+~P4(x11252,x11251,f15(x11252))+~E(f13(x11252,x11251,x11251),f3(x11252))+E(x11251,f3(x11252))
% 172.05/172.08 [1368]~P6(a109,x13681,x13682)+P6(a109,f28(x13681),f28(x13682))+~P6(a109,f3(a109),x13682)+~P6(a109,f3(a109),x13681)
% 172.05/172.08 [1369]~P5(a109,x13691,x13692)+P5(a109,f28(x13691),f28(x13692))+~P6(a109,f3(a109),x13692)+~P6(a109,f3(a109),x13691)
% 172.05/172.08 [1395]P6(a109,x13951,x13952)+~P6(a109,f28(x13951),f28(x13952))+~P6(a109,f3(a109),x13952)+~P6(a109,f3(a109),x13951)
% 172.05/172.08 [1396]P5(a109,x13961,x13962)+~P5(a109,f28(x13961),f28(x13962))+~P6(a109,f3(a109),x13962)+~P6(a109,f3(a109),x13961)
% 172.05/172.08 [882]~P53(x8822)+~P76(x8822)+E(x8821,f3(a110))+E(f33(f33(f24(x8822),f3(x8822)),x8821),f3(x8822))
% 172.05/172.08 [1021]~E(x10212,f4(a111))+~E(x10211,f4(a111))+~P6(a111,f3(a111),x10211)+E(f33(f33(f12(a111),x10211),x10212),f4(a111))
% 172.05/172.08 [1769]~P50(x17691)+~P6(x17691,x17692,f3(x17691))+~P4(x17691,x17692,f15(x17691))+P6(x17691,f13(x17691,f13(x17691,f4(x17691),x17692),x17692),f3(x17691))
% 172.05/172.08 [1802]~P50(x18021)+~P4(x18021,x18022,f15(x18021))+P6(x18021,x18022,f3(x18021))+~P6(x18021,f13(x18021,f13(x18021,f4(x18021),x18022),x18022),f3(x18021))
% 172.05/172.08 [965]P6(x9653,x9651,x9652)+~P50(x9653)+E(x9651,x9652)+P6(x9653,x9652,x9651)
% 172.05/172.08 [966]P6(x9663,x9661,x9662)+~P17(x9663)+E(x9661,x9662)+P6(x9663,x9662,x9661)
% 172.05/172.08 [967]P5(x9671,x9672,x9673)+~E(x9672,x9673)+~P17(x9671)+P6(x9671,x9672,x9673)
% 172.05/172.08 [1025]~P49(x10253)+~P5(x10253,x10252,x10251)+E(x10251,x10252)+P6(x10253,x10252,x10251)
% 172.05/172.08 [1027]~P17(x10273)+~P5(x10273,x10271,x10272)+E(x10271,x10272)+P6(x10273,x10271,x10272)
% 172.05/172.08 [1033]~P49(x10333)+~P5(x10333,x10331,x10332)+E(x10331,x10332)+P6(x10333,x10331,x10332)
% 172.05/172.08 [1106]~P5(x11063,x11062,x11061)+~P5(x11063,x11061,x11062)+E(x11061,x11062)+~P49(x11063)
% 172.05/172.08 [1134]P5(x11341,x11343,x11342)+~P48(x11341)+~P5(x11341,x11342,x11343)+P6(x11341,x11342,x11343)
% 172.05/172.08 [876]~P20(x8761)+~E(x8763,f23(x8761))+~E(x8762,f23(x8761))+E(f14(x8761,x8762,x8763),f23(x8761))
% 172.05/172.08 [877]~P21(x8771)+~E(x8773,f2(x8771))+~E(x8772,f2(x8771))+E(f16(x8771,x8772,x8773),f2(x8771))
% 172.05/172.08 [1118]~P2(x11181)+~P12(x11181,x11183,x11182)+P10(x11181,x11182,x11183)+~P78(f33(x11182,x11183))
% 172.05/172.08 [1315]~P3(x13151)+~P17(x13151)+~P6(x13151,x13152,f6(x13151,x13153))+P6(x13151,x13152,f88(x13153,x13152,x13151))
% 172.05/172.08 [1316]~P3(x13161)+~P17(x13161)+~P6(x13161,x13163,f6(x13161,x13162))+P4(x13161,f88(x13162,x13163,x13161),x13162)
% 172.05/172.08 [1317]~P3(x13171)+~P17(x13171)+~P6(x13171,f7(x13171,x13173),x13172)+P6(x13171,f51(x13172,x13173,x13171),x13172)
% 172.05/172.08 [1318]~P3(x13181)+~P17(x13181)+~P6(x13181,f7(x13181,x13183),x13182)+P4(x13181,f51(x13182,x13183,x13181),x13183)
% 172.05/172.08 [1402]E(x14021,x14022)+~P5(a110,x14023,x14022)+~P5(a110,x14023,x14021)+~E(f5(a110,x14021,x14023),f5(a110,x14022,x14023))
% 172.05/172.08 [1479]~P41(x14791)+~P6(x14791,f3(x14791),x14793)+~P6(x14791,f3(x14791),x14792)+P6(x14791,f3(x14791),f13(x14791,x14792,x14793))
% 172.05/172.08 [1483]~P41(x14831)+~P6(x14831,x14833,f3(x14831))+~P6(x14831,x14832,f3(x14831))+P6(x14831,f13(x14831,x14832,x14833),f3(x14831))
% 172.05/172.08 [1484]~P41(x14841)+~P6(x14841,x14843,f3(x14841))+~P5(x14841,x14842,f3(x14841))+P6(x14841,f13(x14841,x14842,x14843),f3(x14841))
% 172.05/172.08 [1485]~P41(x14851)+~P6(x14851,x14852,f3(x14851))+~P5(x14851,x14853,f3(x14851))+P6(x14851,f13(x14851,x14852,x14853),f3(x14851))
% 172.05/172.08 [1486]~P68(x14861)+~P4(x14861,x14863,f15(x14861))+~P4(x14861,x14862,f15(x14861))+P4(x14861,f5(x14861,x14862,x14863),f15(x14861))
% 172.05/172.08 [1487]~P57(x14871)+~P4(x14871,x14873,f17(x14871))+~P4(x14871,x14872,f17(x14871))+P4(x14871,f13(x14871,x14872,x14873),f17(x14871))
% 172.05/172.08 [1488]~P68(x14881)+~P4(x14881,x14883,f15(x14881))+~P4(x14881,x14882,f15(x14881))+P4(x14881,f13(x14881,x14882,x14883),f15(x14881))
% 172.05/172.08 [1489]~P41(x14891)+~P5(x14891,x14893,f3(x14891))+~P5(x14891,x14892,f3(x14891))+P5(x14891,f13(x14891,x14892,x14893),f3(x14891))
% 172.05/172.08 [1782]~P5(a110,x17823,x17821)+P6(a110,x17821,x17822)+~P5(a110,x17823,x17822)+~P6(a110,f5(a110,x17821,x17823),f5(a110,x17822,x17823))
% 172.05/172.08 [1783]~P5(a110,x17833,x17831)+P5(a110,x17831,x17832)+~P5(a110,x17833,x17832)+~P5(a110,f5(a110,x17831,x17833),f5(a110,x17832,x17833))
% 172.05/172.08 [1241]~P5(a110,x12413,f80(x12412,x12411))+~P78(f33(x12411,x12412))+~P78(f33(x12411,x12413))+P78(f33(x12411,f3(a110)))
% 172.05/172.08 [931]~P63(x9312)+E(x9311,f3(x9312))+E(x9313,f3(x9312))+~E(f33(f33(f12(x9312),x9313),x9311),f3(x9312))
% 172.05/172.08 [932]~P67(x9322)+E(x9321,f3(x9322))+E(x9323,f3(x9322))+~E(f33(f33(f12(x9322),x9323),x9321),f3(x9322))
% 172.05/172.08 [1443]~P58(x14431)+~P6(x14431,f4(x14431),x14432)+~P6(a110,f3(a110),x14433)+P6(x14431,f4(x14431),f33(f33(f24(x14431),x14432),x14433))
% 172.05/172.08 [1457]~P59(x14571)+~P6(x14571,x14573,f3(x14571))+~P6(x14571,x14572,f3(x14571))+P6(x14571,f3(x14571),f33(f33(f12(x14571),x14572),x14573))
% 172.05/172.08 [1459]~P70(x14591)+~P5(x14591,x14593,f3(x14591))+~P5(x14591,x14592,f3(x14591))+P5(x14591,f3(x14591),f33(f33(f12(x14591),x14592),x14593))
% 172.05/172.08 [1460]~P59(x14601)+~P5(x14601,x14603,f3(x14601))+~P5(x14601,x14602,f3(x14601))+P5(x14601,f3(x14601),f33(f33(f12(x14601),x14602),x14603))
% 172.05/172.08 [1461]~P66(x14611)+~P6(x14611,f3(x14611),x14613)+~P6(x14611,f3(x14611),x14612)+P6(x14611,f3(x14611),f33(f33(f12(x14611),x14612),x14613))
% 172.05/172.08 [1462]~P58(x14621)+~P6(x14621,f4(x14621),x14623)+~P6(x14621,f4(x14621),x14622)+P6(x14621,f4(x14621),f33(f33(f12(x14621),x14622),x14623))
% 172.05/172.08 [1463]~P70(x14631)+~P5(x14631,f3(x14631),x14633)+~P5(x14631,f3(x14631),x14632)+P5(x14631,f3(x14631),f33(f33(f12(x14631),x14632),x14633))
% 172.05/172.08 [1464]~P71(x14641)+~P5(x14641,f3(x14641),x14643)+~P5(x14641,f3(x14641),x14642)+P5(x14641,f3(x14641),f33(f33(f12(x14641),x14642),x14643))
% 172.05/172.08 [1465]~P59(x14651)+~P5(x14651,f3(x14651),x14653)+~P5(x14651,f3(x14651),x14652)+P5(x14651,f3(x14651),f33(f33(f12(x14651),x14652),x14653))
% 172.05/172.08 [1466]~P57(x14661)+~P4(x14661,x14663,f17(x14661))+~P4(x14661,x14662,f17(x14661))+P4(x14661,f33(f33(f12(x14661),x14662),x14663),f17(x14661))
% 172.05/172.08 [1467]~P68(x14671)+~P4(x14671,x14673,f15(x14671))+~P4(x14671,x14672,f15(x14671))+P4(x14671,f33(f33(f12(x14671),x14672),x14673),f15(x14671))
% 172.05/172.08 [1469]~P66(x14691)+~P6(x14691,x14693,f3(x14691))+~P6(x14691,f3(x14691),x14692)+P6(x14691,f33(f33(f12(x14691),x14692),x14693),f3(x14691))
% 172.05/172.08 [1470]~P66(x14701)+~P6(x14701,x14702,f3(x14701))+~P6(x14701,f3(x14701),x14703)+P6(x14701,f33(f33(f12(x14701),x14702),x14703),f3(x14701))
% 172.05/172.08 [1473]~P71(x14731)+~P5(x14731,x14733,f3(x14731))+~P5(x14731,f3(x14731),x14732)+P5(x14731,f33(f33(f12(x14731),x14732),x14733),f3(x14731))
% 172.05/172.08 [1475]~P71(x14751)+~P5(x14751,x14752,f3(x14751))+~P5(x14751,f3(x14751),x14753)+P5(x14751,f33(f33(f12(x14751),x14752),x14753),f3(x14751))
% 172.05/172.08 [1476]~P59(x14761)+~P5(x14761,x14763,f3(x14761))+~P5(x14761,f3(x14761),x14762)+P5(x14761,f33(f33(f12(x14761),x14762),x14763),f3(x14761))
% 172.05/172.08 [1477]~P59(x14771)+~P5(x14771,x14772,f3(x14771))+~P5(x14771,f3(x14771),x14773)+P5(x14771,f33(f33(f12(x14771),x14772),x14773),f3(x14771))
% 172.05/172.08 [1515]~P59(x15151)+P5(x15151,x15152,f3(x15151))+P5(x15151,x15153,f3(x15151))+~P5(x15151,f33(f33(f12(x15151),x15153),x15152),f3(x15151))
% 172.05/172.08 [1516]~P59(x15161)+P5(x15161,x15162,f3(x15161))+P5(x15161,f3(x15161),x15163)+~P5(x15161,f3(x15161),f33(f33(f12(x15161),x15163),x15162))
% 172.05/172.08 [1517]~P59(x15171)+P5(x15171,x15172,f3(x15171))+P5(x15171,f3(x15171),x15173)+~P5(x15171,f3(x15171),f33(f33(f12(x15171),x15172),x15173))
% 172.05/172.08 [1518]~P59(x15181)+P5(x15181,f3(x15181),x15182)+P5(x15181,x15182,f3(x15181))+~P5(x15181,f3(x15181),f33(f33(f12(x15181),x15183),x15182))
% 172.05/172.08 [1519]~P59(x15191)+P5(x15191,f3(x15191),x15192)+P5(x15191,x15192,f3(x15191))+~P5(x15191,f3(x15191),f33(f33(f12(x15191),x15192),x15193))
% 172.05/172.08 [1520]~P59(x15201)+P5(x15201,f3(x15201),x15202)+P5(x15201,x15202,f3(x15201))+~P5(x15201,f33(f33(f12(x15201),x15203),x15202),f3(x15201))
% 172.05/172.08 [1521]~P59(x15211)+P5(x15211,f3(x15211),x15212)+P5(x15211,x15212,f3(x15211))+~P5(x15211,f33(f33(f12(x15211),x15212),x15213),f3(x15211))
% 172.05/172.08 [1522]~P59(x15221)+P5(x15221,f3(x15221),x15222)+P5(x15221,f3(x15221),x15223)+~P5(x15221,f33(f33(f12(x15221),x15222),x15223),f3(x15221))
% 172.05/172.08 [1570]~P66(x15701)+P6(x15701,f3(x15701),x15702)+~P6(x15701,f3(x15701),x15703)+~P6(x15701,f3(x15701),f33(f33(f12(x15701),x15703),x15702))
% 172.05/172.08 [1571]~P66(x15711)+P6(x15711,f3(x15711),x15712)+~P6(x15711,f3(x15711),x15713)+~P6(x15711,f3(x15711),f33(f33(f12(x15711),x15712),x15713))
% 172.05/172.08 [1290]~P59(x12901)+~E(x12903,f3(x12901))+~E(x12902,f3(x12901))+E(f13(x12901,f33(f33(f12(x12901),x12902),x12902),f33(f33(f12(x12901),x12903),x12903)),f3(x12901))
% 172.05/172.08 [1650]~P6(a111,x16502,x16503)+~P6(a111,f3(a111),x16503)+P5(a111,f4(a111),x16501)+~E(f13(a111,x16502,f33(f33(f12(a111),x16503),x16501)),x16503)
% 172.05/172.08 [1654]~P6(a111,f3(a111),x16543)+~P5(a111,f3(a111),x16542)+P5(a111,x16541,f4(a111))+~E(f13(a111,x16542,f33(f33(f12(a111),x16543),x16541)),x16543)
% 172.05/172.08 [1766]~P59(x17661)+~E(x17663,f3(x17661))+~E(x17662,f3(x17661))+P5(x17661,f13(x17661,f33(f33(f12(x17661),x17662),x17662),f33(f33(f12(x17661),x17663),x17663)),f3(x17661))
% 172.05/172.08 [1787]~P58(x17871)+~P6(x17871,x17872,f4(x17871))+~P6(x17871,f3(x17871),x17872)+P6(x17871,f33(f33(f12(x17871),x17872),f33(f33(f24(x17871),x17872),x17873)),f33(f33(f24(x17871),x17872),x17873))
% 172.05/172.08 [1798]~P6(a111,x17982,x17983)+~P6(a111,f3(a111),x17983)+P5(a111,f3(a111),x17981)+~P5(a111,f3(a111),f13(a111,f33(f33(f12(a111),x17983),x17981),x17982))
% 172.05/172.08 [1799]P5(a111,x17991,f3(a111))+~P6(a111,f3(a111),x17992)+~P5(a111,f3(a111),x17993)+~P6(a111,f13(a111,f33(f33(f12(a111),x17992),x17991),x17993),f3(a111))
% 172.05/172.08 [1822]~P59(x18222)+~E(x18221,f3(x18222))+~E(x18223,f3(x18222))+~P6(x18222,f3(x18222),f13(x18222,f33(f33(f12(x18222),x18223),x18223),f33(f33(f12(x18222),x18221),x18221)))
% 172.05/172.08 [1165]~P49(x11651)+~P6(x11651,x11654,x11653)+P6(x11651,x11652,x11653)+~P6(x11651,x11652,x11654)
% 172.05/172.08 [1166]~P49(x11661)+~P5(x11661,x11664,x11663)+P6(x11661,x11662,x11663)+~P6(x11661,x11662,x11664)
% 172.05/172.08 [1167]~P49(x11671)+~P5(x11671,x11672,x11674)+P6(x11671,x11672,x11673)+~P6(x11671,x11674,x11673)
% 172.05/172.08 [1168]~P48(x11681)+~P6(x11681,x11682,x11684)+P6(x11681,x11682,x11683)+~P6(x11681,x11684,x11683)
% 172.05/172.08 [1169]~P48(x11691)+~P5(x11691,x11692,x11694)+P6(x11691,x11692,x11693)+~P6(x11691,x11694,x11693)
% 172.05/172.08 [1170]~P48(x11701)+~P5(x11701,x11704,x11703)+P6(x11701,x11702,x11703)+~P6(x11701,x11702,x11704)
% 172.05/172.08 [1172]~P2(x11721)+~P13(x11721,x11724,x11723)+P5(x11721,x11722,x11723)+~P4(x11721,x11722,x11724)
% 172.05/172.08 [1173]~P49(x11731)+~P5(x11731,x11734,x11733)+P5(x11731,x11732,x11733)+~P5(x11731,x11732,x11734)
% 172.05/172.08 [1174]~P2(x11741)+~P10(x11741,x11744,x11742)+P5(x11741,x11742,x11743)+~P4(x11741,x11743,x11744)
% 172.05/172.08 [1176]~P2(x11761)+~P12(x11761,x11762,x11764)+P5(x11761,x11762,x11763)+~P4(x11761,x11763,x11764)
% 172.05/172.08 [1177]~P48(x11771)+~P5(x11771,x11772,x11774)+P5(x11771,x11772,x11773)+~P5(x11771,x11774,x11773)
% 172.05/172.08 [1143]~P49(x11431)+~P15(x11431,x11432)+~P5(a110,x11434,x11433)+P5(x11431,f33(x11432,x11433),f33(x11432,x11434))
% 172.05/172.08 [1144]~P49(x11441)+~P16(x11441,x11442)+~P5(a110,x11443,x11444)+P5(x11441,f33(x11442,x11443),f33(x11442,x11444))
% 172.05/172.08 [1279]~P3(x12791)+P5(x12791,x12792,x12793)+~P4(x12791,x12793,x12794)+~P5(x12791,x12792,f7(x12791,x12794))
% 172.05/172.08 [1280]~P3(x12801)+P5(x12801,x12802,x12803)+~P4(x12801,x12802,x12804)+~P5(x12801,f6(x12801,x12804),x12803)
% 172.05/172.08 [1284]P4(x12843,x12844,x12841)+E(x12841,x12842)+P4(x12843,x12844,x12842)+~E(f31(x12843,x12844,x12841),f31(x12843,x12844,x12842))
% 172.05/172.08 [1302]~P2(x13022)+P5(f114(x13021,x13022),x13024,x13023)+~P5(f114(x13021,x13022),x13023,x13024)+P6(f114(x13021,x13022),x13023,x13024)
% 172.05/172.08 [1408]~P47(x14081)+~P5(x14081,x14082,x14084)+~P5(x14081,x14082,x14083)+P5(x14081,x14082,f14(x14081,x14083,x14084))
% 172.05/172.08 [1411]~P46(x14111)+~P5(x14111,x14113,x14114)+~P5(x14111,x14112,x14114)+P5(x14111,f16(x14111,x14112,x14113),x14114)
% 172.05/172.08 [1430]~P58(x14301)+~P6(x14301,x14302,x14304)+~P6(x14301,f3(x14301),x14303)+P6(x14301,x14302,f13(x14301,x14303,x14304))
% 172.05/172.08 [1431]~P41(x14311)+~P6(x14311,x14312,x14314)+~P5(x14311,f3(x14311),x14313)+P6(x14311,x14312,f13(x14311,x14313,x14314))
% 172.05/172.08 [1432]~P41(x14321)+~P5(x14321,x14322,x14324)+~P6(x14321,f3(x14321),x14323)+P6(x14321,x14322,f13(x14321,x14323,x14324))
% 172.05/172.08 [1433]~P41(x14331)+~P5(x14331,x14332,x14333)+~P5(x14331,f3(x14331),x14334)+P5(x14331,x14332,f13(x14331,x14333,x14334))
% 172.05/172.08 [1434]~P41(x14341)+~P5(x14341,x14342,x14344)+~P5(x14341,f3(x14341),x14343)+P5(x14341,x14342,f13(x14341,x14343,x14344))
% 172.05/172.08 [1559]P4(x15591,x15592,x15593)+P4(x15591,x15592,x15594)+~P5(f114(x15591,a1),x15594,x15593)+P6(f114(x15591,a1),x15594,f31(x15591,x15592,x15593))
% 172.05/172.08 [1668]P4(x16681,x16682,x16683)+P4(x16681,x16682,x16684)+~P6(f114(x16681,a1),x16684,f31(x16681,x16682,x16683))+P5(f114(x16681,a1),x16684,x16683)
% 172.05/172.08 [1678]P4(x16781,x16782,x16783)+~P5(f114(x16781,a1),x16783,x16784)+~P6(f114(x16781,a1),x16783,x16784)+P6(f114(x16781,a1),x16783,f31(x16781,x16782,x16784))
% 172.05/172.08 [1577]~P2(x15771)+~P4(x15771,x15774,x15772)+~P13(x15771,x15773,x15774)+P78(f33(f19(x15771,x15772,x15773),x15774))
% 172.05/172.08 [1815]~P2(x18151)+P11(x18151,x18152,x18153,x18154)+~P12(x18151,x18154,f19(x18151,x18152,x18153))+~P78(f33(f19(x18151,x18152,x18153),x18154))
% 172.05/172.08 [1270]~P58(x12703)+E(x12701,x12702)+~P6(x12703,f4(x12703),x12704)+~E(f33(f33(f24(x12703),x12704),x12701),f33(f33(f24(x12703),x12704),x12702))
% 172.05/172.08 [1609]~P58(x16091)+~P6(a110,x16093,x16094)+~P6(x16091,f4(x16091),x16092)+P6(x16091,f33(f33(f24(x16091),x16092),x16093),f33(f33(f24(x16091),x16092),x16094))
% 172.05/172.08 [1610]~P58(x16101)+~P5(a110,x16103,x16104)+~P6(x16101,f4(x16101),x16102)+P5(x16101,f33(f33(f24(x16101),x16102),x16103),f33(f33(f24(x16101),x16102),x16104))
% 172.05/172.08 [1611]~P58(x16111)+~P5(a110,x16113,x16114)+~P5(x16111,f4(x16111),x16112)+P5(x16111,f33(f33(f24(x16111),x16112),x16113),f33(f33(f24(x16111),x16112),x16114))
% 172.05/172.08 [1622]~P59(x16221)+~P6(x16221,x16224,x16222)+~P6(x16221,x16223,f3(x16221))+P6(x16221,f33(f33(f12(x16221),x16222),x16223),f33(f33(f12(x16221),x16224),x16223))
% 172.05/172.08 [1623]~P59(x16231)+~P6(x16231,x16234,x16233)+~P6(x16231,x16232,f3(x16231))+P6(x16231,f33(f33(f12(x16231),x16232),x16233),f33(f33(f12(x16231),x16232),x16234))
% 172.05/172.08 [1624]~P70(x16241)+~P5(x16241,x16244,x16243)+~P5(x16241,x16242,f3(x16241))+P5(x16241,f33(f33(f12(x16241),x16242),x16243),f33(f33(f12(x16241),x16242),x16244))
% 172.05/172.08 [1625]~P59(x16251)+~P5(x16251,x16254,x16253)+~P6(x16251,x16252,f3(x16251))+P5(x16251,f33(f33(f12(x16251),x16252),x16253),f33(f33(f12(x16251),x16252),x16254))
% 172.05/172.08 [1626]~P70(x16261)+~P5(x16261,x16264,x16262)+~P5(x16261,x16263,f3(x16261))+P5(x16261,f33(f33(f12(x16261),x16262),x16263),f33(f33(f12(x16261),x16264),x16263))
% 172.05/172.08 [1628]~P54(x16281)+~P6(x16281,x16283,x16284)+~P6(x16281,f3(x16281),x16282)+P6(x16281,f33(f33(f12(x16281),x16282),x16283),f33(f33(f12(x16281),x16282),x16284))
% 172.05/172.08 [1629]~P66(x16291)+~P6(x16291,x16293,x16294)+~P6(x16291,f3(x16291),x16292)+P6(x16291,f33(f33(f12(x16291),x16292),x16293),f33(f33(f12(x16291),x16292),x16294))
% 172.05/172.08 [1630]~P59(x16301)+~P6(x16301,x16302,x16304)+~P6(x16301,f3(x16301),x16303)+P6(x16301,f33(f33(f12(x16301),x16302),x16303),f33(f33(f12(x16301),x16304),x16303))
% 172.05/172.08 [1631]~P66(x16311)+~P6(x16311,x16312,x16314)+~P6(x16311,f3(x16311),x16313)+P6(x16311,f33(f33(f12(x16311),x16312),x16313),f33(f33(f12(x16311),x16314),x16313))
% 172.05/172.08 [1632]~P59(x16321)+~P6(x16321,x16323,x16324)+~P6(x16321,f3(x16321),x16322)+P6(x16321,f33(f33(f12(x16321),x16322),x16323),f33(f33(f12(x16321),x16322),x16324))
% 172.05/172.08 [1633]~P73(x16331)+~P5(x16331,x16333,x16334)+~P5(x16331,f3(x16331),x16332)+P5(x16331,f33(f33(f12(x16331),x16332),x16333),f33(f33(f12(x16331),x16332),x16334))
% 172.05/172.08 [1634]~P72(x16341)+~P5(x16341,x16343,x16344)+~P5(x16341,f3(x16341),x16342)+P5(x16341,f33(f33(f12(x16341),x16342),x16343),f33(f33(f12(x16341),x16342),x16344))
% 172.05/172.08 [1635]~P59(x16351)+~P5(x16351,x16353,x16354)+~P6(x16351,f3(x16351),x16352)+P5(x16351,f33(f33(f12(x16351),x16352),x16353),f33(f33(f12(x16351),x16352),x16354))
% 172.05/172.08 [1636]~P73(x16361)+~P5(x16361,x16362,x16364)+~P5(x16361,f3(x16361),x16363)+P5(x16361,f33(f33(f12(x16361),x16362),x16363),f33(f33(f12(x16361),x16364),x16363))
% 172.05/172.08 [1637]~P58(x16371)+~P5(x16371,x16372,x16374)+~P5(x16371,f3(x16371),x16372)+P5(x16371,f33(f33(f24(x16371),x16372),x16373),f33(f33(f24(x16371),x16374),x16373))
% 172.05/172.08 [1705]P6(x17051,x17053,x17052)+~P59(x17051)+P6(x17051,x17052,x17053)+~P6(x17051,f33(f33(f12(x17051),x17054),x17052),f33(f33(f12(x17051),x17054),x17053))
% 172.05/172.08 [1706]P6(x17061,x17063,x17062)+~P59(x17061)+P6(x17061,x17062,x17063)+~P6(x17061,f33(f33(f12(x17061),x17062),x17064),f33(f33(f12(x17061),x17063),x17064))
% 172.05/172.08 [1709]~P59(x17091)+P6(x17091,x17092,x17093)+P6(x17091,x17094,f3(x17091))+~P6(x17091,f33(f33(f12(x17091),x17092),x17094),f33(f33(f12(x17091),x17093),x17094))
% 172.05/172.08 [1710]~P59(x17101)+P6(x17101,x17102,x17103)+P6(x17101,x17104,f3(x17101))+~P6(x17101,f33(f33(f12(x17101),x17104),x17102),f33(f33(f12(x17101),x17104),x17103))
% 172.05/172.08 [1711]~P59(x17111)+P6(x17111,x17112,x17113)+P6(x17111,f3(x17111),x17114)+~P6(x17111,f33(f33(f12(x17111),x17114),x17113),f33(f33(f12(x17111),x17114),x17112))
% 172.05/172.08 [1712]~P59(x17121)+P6(x17121,x17122,x17123)+P6(x17121,f3(x17121),x17124)+~P6(x17121,f33(f33(f12(x17121),x17123),x17124),f33(f33(f12(x17121),x17122),x17124))
% 172.05/172.08 [1722]~P59(x17221)+P6(x17221,f3(x17221),x17222)+P6(x17221,x17222,f3(x17221))+~P6(x17221,f33(f33(f12(x17221),x17223),x17222),f33(f33(f12(x17221),x17224),x17222))
% 172.05/172.08 [1723]~P59(x17231)+P6(x17231,f3(x17231),x17232)+P6(x17231,x17232,f3(x17231))+~P6(x17231,f33(f33(f12(x17231),x17232),x17233),f33(f33(f12(x17231),x17232),x17234))
% 172.05/172.08 [1740]~P58(x17403)+P6(a110,x17401,x17402)+~P6(x17403,f4(x17403),x17404)+~P6(x17403,f33(f33(f24(x17403),x17404),x17401),f33(f33(f24(x17403),x17404),x17402))
% 172.05/172.08 [1742]~P58(x17423)+P5(a110,x17421,x17422)+~P6(x17423,f4(x17423),x17424)+~P5(x17423,f33(f33(f24(x17423),x17424),x17421),f33(f33(f24(x17423),x17424),x17422))
% 172.05/172.08 [1743]~P59(x17431)+P6(x17431,x17432,x17433)+~P6(x17431,x17434,f3(x17431))+~P6(x17431,f33(f33(f12(x17431),x17434),x17433),f33(f33(f12(x17431),x17434),x17432))
% 172.05/172.08 [1744]~P59(x17441)+P5(x17441,x17442,x17443)+~P6(x17441,x17444,f3(x17441))+~P5(x17441,f33(f33(f12(x17441),x17444),x17443),f33(f33(f12(x17441),x17444),x17442))
% 172.05/172.08 [1745]~P59(x17451)+P6(x17451,x17452,x17453)+~P6(x17451,f3(x17451),x17454)+~P6(x17451,f33(f33(f12(x17451),x17454),x17452),f33(f33(f12(x17451),x17454),x17453))
% 172.05/172.08 [1746]~P66(x17461)+P6(x17461,x17462,x17463)+~P5(x17461,f3(x17461),x17464)+~P6(x17461,f33(f33(f12(x17461),x17464),x17462),f33(f33(f12(x17461),x17464),x17463))
% 172.05/172.08 [1747]~P62(x17471)+P6(x17471,x17472,x17473)+~P5(x17471,f3(x17471),x17474)+~P6(x17471,f33(f33(f12(x17471),x17474),x17472),f33(f33(f12(x17471),x17474),x17473))
% 172.05/172.08 [1748]~P58(x17481)+P6(x17481,x17482,x17483)+~P5(x17481,f3(x17481),x17483)+~P6(x17481,f33(f33(f24(x17481),x17482),x17484),f33(f33(f24(x17481),x17483),x17484))
% 172.05/172.08 [1749]~P66(x17491)+P6(x17491,x17492,x17493)+~P5(x17491,f3(x17491),x17494)+~P6(x17491,f33(f33(f12(x17491),x17492),x17494),f33(f33(f12(x17491),x17493),x17494))
% 172.05/172.08 [1750]~P62(x17501)+P6(x17501,x17502,x17503)+~P5(x17501,f3(x17501),x17504)+~P6(x17501,f33(f33(f12(x17501),x17502),x17504),f33(f33(f12(x17501),x17503),x17504))
% 172.05/172.08 [1751]~P59(x17511)+P5(x17511,x17512,x17513)+~P6(x17511,f3(x17511),x17514)+~P5(x17511,f33(f33(f12(x17511),x17514),x17512),f33(f33(f12(x17511),x17514),x17513))
% 172.05/172.08 [1752]~P66(x17521)+P5(x17521,x17522,x17523)+~P6(x17521,f3(x17521),x17524)+~P5(x17521,f33(f33(f12(x17521),x17524),x17522),f33(f33(f12(x17521),x17524),x17523))
% 172.05/172.08 [1753]~P66(x17531)+P5(x17531,x17532,x17533)+~P6(x17531,f3(x17531),x17534)+~P5(x17531,f33(f33(f12(x17531),x17532),x17534),f33(f33(f12(x17531),x17533),x17534))
% 172.05/172.08 [1830]~P4(x18301,x18302,x18304)+P4(x18301,x18302,x18303)+~P6(f114(x18301,a1),x18304,f31(x18301,x18302,x18303))+P6(f114(x18301,a1),f5(f114(x18301,a1),x18304,f31(x18301,x18302,f2(f114(x18301,a1)))),x18303)
% 172.05/172.08 [1850]~P4(x18501,x18502,x18504)+P4(x18501,x18502,x18503)+P6(f114(x18501,a1),x18504,f31(x18501,x18502,x18503))+~P6(f114(x18501,a1),f5(f114(x18501,a1),x18504,f31(x18501,x18502,f2(f114(x18501,a1)))),x18503)
% 172.05/172.08 [1853]P4(x18531,x18532,x18533)+~P5(f114(x18531,a1),x18534,x18533)+P6(f114(x18531,a1),x18534,f31(x18531,x18532,x18533))+~P6(f114(x18531,a1),f5(f114(x18531,a1),x18534,f31(x18531,x18532,f2(f114(x18531,a1)))),x18533)
% 172.05/172.08 [1854]~P4(x18541,x18543,x18542)+~P6(f114(x18541,a1),x18542,x18544)+P6(f114(x18541,a1),x18542,f31(x18541,x18543,x18544))+~P6(f114(x18541,a1),f5(f114(x18541,a1),x18542,f31(x18541,x18543,f2(f114(x18541,a1)))),x18544)
% 172.05/172.08 [1856]~P5(f114(x18561,a1),x18562,x18564)+~P6(f114(x18561,a1),x18562,x18564)+P6(f114(x18561,a1),x18562,f31(x18561,x18563,x18564))+~P6(f114(x18561,a1),f5(f114(x18561,a1),x18562,f31(x18561,x18563,f2(f114(x18561,a1)))),x18564)
% 172.05/172.08 [1726]~P2(x17261)+P5(x17261,x17262,x17263)+~P11(x17261,x17265,x17264,x17263)+~P4(x17261,x17262,x17264)
% 172.05/172.08 [1112]~P24(x11125)+E(x11121,x11122)+~E(x11123,x11124)+~E(f5(x11125,x11123,x11124),f5(x11125,x11121,x11122))
% 172.05/172.08 [1355]~P33(x13551)+~P6(x13551,x13554,x13555)+P6(x13551,x13552,x13553)+~E(f5(x13551,x13554,x13555),f5(x13551,x13552,x13553))
% 172.05/172.08 [1357]~P33(x13571)+~P5(x13571,x13574,x13575)+P5(x13571,x13572,x13573)+~E(f5(x13571,x13574,x13575),f5(x13571,x13572,x13573))
% 172.05/172.08 [1612]~P40(x16121)+~P6(x16121,x16123,x16125)+~P6(x16121,x16122,x16124)+P6(x16121,f13(x16121,x16122,x16123),f13(x16121,x16124,x16125))
% 172.05/172.08 [1613]~P40(x16131)+~P6(x16131,x16133,x16135)+~P5(x16131,x16132,x16134)+P6(x16131,f13(x16131,x16132,x16133),f13(x16131,x16134,x16135))
% 172.05/172.08 [1614]~P40(x16141)+~P6(x16141,x16142,x16144)+~P5(x16141,x16143,x16145)+P6(x16141,f13(x16141,x16142,x16143),f13(x16141,x16144,x16145))
% 172.05/172.08 [1615]~P47(x16151)+~P5(x16151,x16153,x16155)+~P5(x16151,x16152,x16154)+P5(x16151,f14(x16151,x16152,x16153),f14(x16151,x16154,x16155))
% 172.05/172.08 [1616]~P46(x16161)+~P5(x16161,x16163,x16165)+~P5(x16161,x16162,x16164)+P5(x16161,f16(x16161,x16162,x16163),f16(x16161,x16164,x16165))
% 172.05/172.08 [1617]~P39(x16171)+~P5(x16171,x16173,x16175)+~P5(x16171,x16172,x16174)+P5(x16171,f13(x16171,x16172,x16173),f13(x16171,x16174,x16175))
% 172.05/172.08 [1405]~P4(x14053,x14052,x14055)+~P4(x14053,x14051,x14054)+~E(x14051,x14052)+~E(f14(f114(x14053,a1),x14054,x14055),f2(f114(x14053,a1)))
% 172.05/172.08 [1721]~P2(x17211)+P5(x17211,x17212,x17213)+~P4(x17211,x17212,x17214)+~P78(f33(f19(x17211,x17215,x17214),x17213))
% 172.05/172.08 [1809]~P2(x18091)+P5(x18091,x18092,x18093)+~P11(x18091,x18094,x18095,x18092)+~P78(f33(f19(x18091,x18094,x18095),x18093))
% 172.05/172.08 [1855]P4(x18553,f84(x18551,x18554,x18555,x18553),x18554)+P4(x18553,f79(x18551,x18554,x18555,x18553),x18555)+~P4(x18553,x18552,f16(f114(x18553,a1),x18555,x18554))+P78(f33(x18551,x18552))
% 172.05/172.08 [1857]P4(x18571,f86(x18572,x18573,x18574,x18571),x18573)+P4(x18571,f85(x18572,x18573,x18574,x18571),x18574)+~P4(x18571,x18575,f16(f114(x18571,a1),x18574,x18573))+~P78(f33(x18572,x18575))
% 172.05/172.08 [1862]P4(x18621,f85(x18622,x18623,x18624,x18621),x18624)+~P4(x18621,x18625,f16(f114(x18621,a1),x18624,x18623))+~P78(f33(x18622,x18625))+P78(f33(x18622,f86(x18622,x18623,x18624,x18621)))
% 172.05/172.08 [1863]P4(x18631,f86(x18632,x18633,x18634,x18631),x18633)+~P4(x18631,x18635,f16(f114(x18631,a1),x18634,x18633))+~P78(f33(x18632,x18635))+P78(f33(x18632,f85(x18632,x18633,x18634,x18631)))
% 172.05/172.08 [1872]~P4(x18724,x18725,f16(f114(x18724,a1),x18723,x18722))+~P78(f33(x18721,x18725))+P78(f33(x18721,f86(x18721,x18722,x18723,x18724)))+P78(f33(x18721,f85(x18721,x18722,x18723,x18724)))
% 172.05/172.08 [1873]P4(x18733,f84(x18731,x18734,x18735,x18733),x18734)+~P4(x18733,x18732,f16(f114(x18733,a1),x18735,x18734))+P78(f33(x18731,x18732))+~P78(f33(x18731,f79(x18731,x18734,x18735,x18733)))
% 172.05/172.08 [1874]P4(x18743,f79(x18741,x18744,x18745,x18743),x18745)+~P4(x18743,x18742,f16(f114(x18743,a1),x18745,x18744))+P78(f33(x18741,x18742))+~P78(f33(x18741,f84(x18741,x18744,x18745,x18743)))
% 172.05/172.08 [1886]~P4(x18865,x18862,f16(f114(x18865,a1),x18864,x18863))+P78(f33(x18861,x18862))+~P78(f33(x18861,f84(x18861,x18863,x18864,x18865)))+~P78(f33(x18861,f79(x18861,x18863,x18864,x18865)))
% 172.05/172.08 [1900]~P26(x19001)+P4(x19001,x19002,x19003)+~P8(x19001,x19001,f12(x19001),x19002,x19003,x19005)+P8(x19001,x19001,f12(x19001),x19004,f31(x19001,x19002,x19003),f33(f33(f12(x19001),x19004),x19005))
% 172.05/172.08 [1806]~P77(x18065)+E(x18061,x18062)+E(x18063,x18064)+~E(f13(x18065,f33(f33(f12(x18065),x18063),x18061),f33(f33(f12(x18065),x18064),x18062)),f13(x18065,f33(f33(f12(x18065),x18063),x18062),f33(f33(f12(x18065),x18064),x18061)))
% 172.05/172.08 [1896]~P8(x18961,x18961,x18964,x18962,x18963,x18967)+P4(x18961,x18962,x18963)+P9(x18961,x18964,f31(x18961,x18965,x18966),x18967)+~E(f31(x18961,x18965,x18966),f31(x18961,x18962,x18963))
% 172.05/172.08 [1903]~P4(x19031,x19038,x19035)+P7(x19031,x19032,x19033,x19034,x19035,f33(f33(x19033,x19036),x19037))+~P7(x19031,x19032,x19033,x19034,f5(f114(x19031,a1),x19035,f31(x19031,x19038,f2(f114(x19031,a1)))),x19039)+~E(f33(f33(x19033,x19036),x19037),f33(f33(x19033,x19038),x19039))
% 172.05/172.08 [1303]~P41(x13032)+~P5(x13032,f3(x13032),x13033)+~P5(x13032,f3(x13032),x13031)+~E(f13(x13032,x13033,x13031),f3(x13032))+E(x13031,f3(x13032))
% 172.05/172.08 [1304]~P41(x13042)+~P5(x13042,f3(x13042),x13043)+~P5(x13042,f3(x13042),x13041)+~E(f13(x13042,x13041,x13043),f3(x13042))+E(x13041,f3(x13042))
% 172.05/172.08 [1444]E(x14441,f99(x14442,x14443))+~P6(a109,f3(a109),x14442)+~P6(a109,f3(a109),x14441)+~P6(a110,f3(a110),x14443)+~E(f33(f33(f24(a109),x14441),x14443),x14442)
% 172.05/172.08 [1641]~P50(x16411)+~P5(x16411,x16412,f4(x16411))+~P5(x16411,f3(x16411),x16412)+~P5(x16411,f3(x16411),x16413)+P5(x16411,f33(f33(f12(x16411),x16412),x16413),x16413)
% 172.05/172.08 [1642]~P50(x16421)+~P5(x16421,x16423,f4(x16421))+~P5(x16421,f3(x16421),x16423)+~P5(x16421,f3(x16421),x16422)+P5(x16421,f33(f33(f12(x16421),x16422),x16423),x16422)
% 172.05/172.08 [1264]~P3(x12641)+~P17(x12641)+~P4(x12641,x12644,x12643)+~P6(x12641,x12642,x12644)+P6(x12641,x12642,f6(x12641,x12643))
% 172.05/172.08 [1265]~P3(x12651)+~P17(x12651)+~P4(x12651,x12654,x12652)+~P6(x12651,x12654,x12653)+P6(x12651,f7(x12651,x12652),x12653)
% 172.05/172.08 [1725]~P58(x17251)+~P6(x17251,x17252,x17254)+~P5(x17251,f3(x17251),x17252)+~P6(a110,f3(a110),x17253)+P6(x17251,f33(f33(f24(x17251),x17252),x17253),f33(f33(f24(x17251),x17254),x17253))
% 172.05/172.08 [1727]~P58(x17271)+~P6(a110,x17274,x17273)+~P6(x17271,x17272,f4(x17271))+~P6(x17271,f3(x17271),x17272)+P6(x17271,f33(f33(f24(x17271),x17272),x17273),f33(f33(f24(x17271),x17272),x17274))
% 172.05/172.08 [1728]~P58(x17281)+~P5(a110,x17284,x17283)+~P5(x17281,x17282,f4(x17281))+~P5(x17281,f3(x17281),x17282)+P5(x17281,f33(f33(f24(x17281),x17282),x17283),f33(f33(f24(x17281),x17282),x17284))
% 172.05/172.08 [1845]P5(a111,x18451,x18452)+~P6(a111,x18453,x18454)+~P6(a111,x18453,x18455)+~P5(a111,x18454,f3(a111))+~P5(a111,f13(a111,f33(f33(f12(a111),x18453),x18452),x18455),f13(a111,f33(f33(f12(a111),x18453),x18451),x18454))
% 172.05/172.08 [1846]P5(a111,x18461,x18462)+~P6(a111,x18463,x18464)+~P6(a111,x18465,x18464)+~P5(a111,f3(a111),x18465)+~P5(a111,f13(a111,f33(f33(f12(a111),x18464),x18461),x18465),f13(a111,f33(f33(f12(a111),x18464),x18462),x18463))
% 172.05/172.08 [1904]~P26(x19041)+~P4(x19041,x19044,x19043)+P4(x19041,x19042,x19043)+~P8(x19041,x19041,f12(x19041),x19042,x19043,x19045)+P8(x19041,x19041,f12(x19041),x19044,f31(x19041,x19042,f5(f114(x19041,a1),x19043,f31(x19041,x19044,f2(f114(x19041,a1))))),x19045)
% 172.05/172.08 [1698]~P77(x16984)+E(x16981,x16982)+~E(x16985,x16986)+E(x16983,f3(x16984))+~E(f13(x16984,x16985,f33(f33(f12(x16984),x16983),x16981)),f13(x16984,x16986,f33(f33(f12(x16984),x16983),x16982)))
% 172.05/172.08 [1278]~P41(x12781)+~P5(x12781,f3(x12781),x12783)+~P5(x12781,f3(x12781),x12782)+~E(x12783,f3(x12781))+~E(x12782,f3(x12781))+E(f13(x12781,x12782,x12783),f3(x12781))
% 172.05/172.08 [968]~P56(x9682)+~P63(x9682)+~P64(x9682)+~P53(x9682)+E(x9681,f3(x9682))+~E(f33(f33(f24(x9682),x9681),x9683),f3(x9682))
% 172.05/172.08 [969]~P56(x9692)+~P63(x9692)+~P64(x9692)+~P53(x9692)+~E(x9691,f3(a110))+~E(f33(f33(f24(x9692),x9693),x9691),f3(x9692))
% 172.05/172.08 [1649]~P58(x16493)+E(x16491,x16492)+~P5(x16493,f3(x16493),x16492)+~P5(x16493,f3(x16493),x16491)+~P6(a110,f3(a110),x16494)+~E(f33(f33(f24(x16493),x16491),x16494),f33(f33(f24(x16493),x16492),x16494))
% 172.05/172.08 [1776]~P66(x17761)+~P6(x17761,x17763,x17765)+~P6(x17761,x17762,x17764)+~P6(x17761,f3(x17761),x17764)+~P5(x17761,f3(x17761),x17763)+P6(x17761,f33(f33(f12(x17761),x17762),x17763),f33(f33(f12(x17761),x17764),x17765))
% 172.05/172.08 [1777]~P66(x17771)+~P6(x17771,x17773,x17775)+~P6(x17771,x17772,x17774)+~P5(x17771,f3(x17771),x17773)+~P5(x17771,f3(x17771),x17772)+P6(x17771,f33(f33(f12(x17771),x17772),x17773),f33(f33(f12(x17771),x17774),x17775))
% 172.05/172.08 [1778]~P66(x17781)+~P6(x17781,x17783,x17785)+~P5(x17781,x17782,x17784)+~P6(x17781,f3(x17781),x17782)+~P5(x17781,f3(x17781),x17783)+P6(x17781,f33(f33(f12(x17781),x17782),x17783),f33(f33(f12(x17781),x17784),x17785))
% 172.05/172.08 [1779]~P66(x17791)+~P6(x17791,x17792,x17794)+~P5(x17791,x17793,x17795)+~P6(x17791,f3(x17791),x17793)+~P5(x17791,f3(x17791),x17792)+P6(x17791,f33(f33(f12(x17791),x17792),x17793),f33(f33(f12(x17791),x17794),x17795))
% 172.05/172.08 [1780]~P73(x17801)+~P5(x17801,x17803,x17805)+~P5(x17801,x17802,x17804)+~P5(x17801,f3(x17801),x17803)+~P5(x17801,f3(x17801),x17804)+P5(x17801,f33(f33(f12(x17801),x17802),x17803),f33(f33(f12(x17801),x17804),x17805))
% 172.05/172.08 [1781]~P73(x17811)+~P5(x17811,x17813,x17815)+~P5(x17811,x17812,x17814)+~P5(x17811,f3(x17811),x17813)+~P5(x17811,f3(x17811),x17812)+P5(x17811,f33(f33(f12(x17811),x17812),x17813),f33(f33(f12(x17811),x17814),x17815))
% 172.05/172.08 [1551]~P49(x15511)+~P14(x15511,x15512)+~P5(a110,x15514,x15513)+~P5(a110,x15515,x15516)+P5(x15511,f33(x15512,x15513),f33(x15512,x15514))+P5(x15511,f33(x15512,x15515),f33(x15512,x15516))
% 172.05/172.08 [912]~P56(x9122)+~P63(x9122)+~P64(x9122)+~P53(x9122)+~E(x9123,f3(x9122))+E(x9121,f3(a110))+E(f33(f33(f24(x9122),x9123),x9121),f3(x9122))
% 172.05/172.08 [1825]~P65(x18251)+~P6(x18251,x18255,x18256)+~P6(x18251,x18253,x18256)+~P5(x18251,f3(x18251),x18254)+~P5(x18251,f3(x18251),x18252)+~E(f13(x18251,x18252,x18254),f4(x18251))+P6(x18251,f13(x18251,f33(f33(f12(x18251),x18252),x18253),f33(f33(f12(x18251),x18254),x18255)),x18256)
% 172.05/172.08 [1826]~P61(x18261)+~P5(x18261,x18265,x18266)+~P5(x18261,x18263,x18266)+~P5(x18261,f3(x18261),x18264)+~P5(x18261,f3(x18261),x18262)+~E(f13(x18261,x18262,x18264),f4(x18261))+P5(x18261,f13(x18261,f33(f33(f12(x18261),x18262),x18263),f33(f33(f12(x18261),x18264),x18265)),x18266)
% 172.05/172.08 [1851]~P6(a111,x18516,x18515)+~P5(a111,x18515,x18513)+P5(a111,x18511,x18512)+~P6(a111,f3(a111),x18515)+~P5(a111,f3(a111),x18514)+~P5(a111,f3(a111),f13(a111,f33(f33(f12(a111),x18515),x18512),x18516))+~E(f13(a111,f33(f33(f12(a111),x18513),x18511),x18514),f13(a111,f33(f33(f12(a111),x18515),x18512),x18516))
% 172.05/172.08 [1852]~P6(a111,x18524,x18523)+~P5(a111,x18525,x18523)+P5(a111,x18521,x18522)+~P6(a111,f3(a111),x18525)+~P5(a111,f3(a111),x18526)+~P6(a111,f13(a111,f33(f33(f12(a111),x18525),x18521),x18526),f3(a111))+~E(f13(a111,f33(f33(f12(a111),x18523),x18522),x18524),f13(a111,f33(f33(f12(a111),x18525),x18521),x18526))
% 172.05/172.08 %EqnAxiom
% 172.05/172.08 [1]E(x11,x11)
% 172.05/172.08 [2]E(x22,x21)+~E(x21,x22)
% 172.05/172.08 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 172.05/172.08 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 172.05/172.08 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 172.05/172.08 [6]~E(x61,x62)+E(f33(x61,x63),f33(x62,x63))
% 172.05/172.08 [7]~E(x71,x72)+E(f33(x73,x71),f33(x73,x72))
% 172.05/172.08 [8]~E(x81,x82)+E(f22(x81),f22(x82))
% 172.05/172.08 [9]~E(x91,x92)+E(f84(x91,x93,x94,x95),f84(x92,x93,x94,x95))
% 172.05/172.08 [10]~E(x101,x102)+E(f84(x103,x101,x104,x105),f84(x103,x102,x104,x105))
% 172.05/172.08 [11]~E(x111,x112)+E(f84(x113,x114,x111,x115),f84(x113,x114,x112,x115))
% 172.05/172.08 [12]~E(x121,x122)+E(f84(x123,x124,x125,x121),f84(x123,x124,x125,x122))
% 172.05/172.08 [13]~E(x131,x132)+E(f4(x131),f4(x132))
% 172.05/172.08 [14]~E(x141,x142)+E(f13(x141,x143,x144),f13(x142,x143,x144))
% 172.05/172.08 [15]~E(x151,x152)+E(f13(x153,x151,x154),f13(x153,x152,x154))
% 172.05/172.08 [16]~E(x161,x162)+E(f13(x163,x164,x161),f13(x163,x164,x162))
% 172.05/172.08 [17]~E(x171,x172)+E(f114(x171,x173),f114(x172,x173))
% 172.05/172.08 [18]~E(x181,x182)+E(f114(x183,x181),f114(x183,x182))
% 172.05/172.08 [19]~E(x191,x192)+E(f5(x191,x193,x194),f5(x192,x193,x194))
% 172.05/172.08 [20]~E(x201,x202)+E(f5(x203,x201,x204),f5(x203,x202,x204))
% 172.05/172.08 [21]~E(x211,x212)+E(f5(x213,x214,x211),f5(x213,x214,x212))
% 172.05/172.08 [22]~E(x221,x222)+E(f27(x221),f27(x222))
% 172.05/172.08 [23]~E(x231,x232)+E(f79(x231,x233,x234,x235),f79(x232,x233,x234,x235))
% 172.05/172.08 [24]~E(x241,x242)+E(f79(x243,x241,x244,x245),f79(x243,x242,x244,x245))
% 172.05/172.08 [25]~E(x251,x252)+E(f79(x253,x254,x251,x255),f79(x253,x254,x252,x255))
% 172.05/172.08 [26]~E(x261,x262)+E(f79(x263,x264,x265,x261),f79(x263,x264,x265,x262))
% 172.05/172.08 [27]~E(x271,x272)+E(f12(x271),f12(x272))
% 172.05/172.08 [28]~E(x281,x282)+E(f29(x281,x283),f29(x282,x283))
% 172.05/172.08 [29]~E(x291,x292)+E(f29(x293,x291),f29(x293,x292))
% 172.05/172.08 [30]~E(x301,x302)+E(f106(x301,x303,x304,x305,x306),f106(x302,x303,x304,x305,x306))
% 172.05/172.08 [31]~E(x311,x312)+E(f106(x313,x311,x314,x315,x316),f106(x313,x312,x314,x315,x316))
% 172.05/172.08 [32]~E(x321,x322)+E(f106(x323,x324,x321,x325,x326),f106(x323,x324,x322,x325,x326))
% 172.05/172.08 [33]~E(x331,x332)+E(f106(x333,x334,x335,x331,x336),f106(x333,x334,x335,x332,x336))
% 172.05/172.08 [34]~E(x341,x342)+E(f106(x343,x344,x345,x346,x341),f106(x343,x344,x345,x346,x342))
% 172.05/172.08 [35]~E(x351,x352)+E(f14(x351,x353,x354),f14(x352,x353,x354))
% 172.05/172.08 [36]~E(x361,x362)+E(f14(x363,x361,x364),f14(x363,x362,x364))
% 172.05/172.08 [37]~E(x371,x372)+E(f14(x373,x374,x371),f14(x373,x374,x372))
% 172.05/172.08 [38]~E(x381,x382)+E(f28(x381),f28(x382))
% 172.05/172.08 [39]~E(x391,x392)+E(f96(x391),f96(x392))
% 172.05/172.08 [40]~E(x401,x402)+E(f112(x401),f112(x402))
% 172.05/172.08 [41]~E(x411,x412)+E(f31(x411,x413,x414),f31(x412,x413,x414))
% 172.05/172.08 [42]~E(x421,x422)+E(f31(x423,x421,x424),f31(x423,x422,x424))
% 172.05/172.08 [43]~E(x431,x432)+E(f31(x433,x434,x431),f31(x433,x434,x432))
% 172.05/172.08 [44]~E(x441,x442)+E(f7(x441,x443),f7(x442,x443))
% 172.05/172.08 [45]~E(x451,x452)+E(f7(x453,x451),f7(x453,x452))
% 172.05/172.08 [46]~E(x461,x462)+E(f16(x461,x463,x464),f16(x462,x463,x464))
% 172.05/172.08 [47]~E(x471,x472)+E(f16(x473,x471,x474),f16(x473,x472,x474))
% 172.05/172.08 [48]~E(x481,x482)+E(f16(x483,x484,x481),f16(x483,x484,x482))
% 172.05/172.08 [49]~E(x491,x492)+E(f36(x491),f36(x492))
% 172.05/172.08 [50]~E(x501,x502)+E(f6(x501,x503),f6(x502,x503))
% 172.05/172.08 [51]~E(x511,x512)+E(f6(x513,x511),f6(x513,x512))
% 172.05/172.08 [52]~E(x521,x522)+E(f47(x521,x523,x524),f47(x522,x523,x524))
% 172.05/172.08 [53]~E(x531,x532)+E(f47(x533,x531,x534),f47(x533,x532,x534))
% 172.05/172.08 [54]~E(x541,x542)+E(f47(x543,x544,x541),f47(x543,x544,x542))
% 172.05/172.08 [55]~E(x551,x552)+E(f30(x551,x553),f30(x552,x553))
% 172.05/172.08 [56]~E(x561,x562)+E(f30(x563,x561),f30(x563,x562))
% 172.05/172.08 [57]~E(x571,x572)+E(f20(x571,x573,x574),f20(x572,x573,x574))
% 172.05/172.08 [58]~E(x581,x582)+E(f20(x583,x581,x584),f20(x583,x582,x584))
% 172.05/172.08 [59]~E(x591,x592)+E(f20(x593,x594,x591),f20(x593,x594,x592))
% 172.05/172.08 [60]~E(x601,x602)+E(f91(x601,x603,x604,x605,x606,x607,x608),f91(x602,x603,x604,x605,x606,x607,x608))
% 172.05/172.08 [61]~E(x611,x612)+E(f91(x613,x611,x614,x615,x616,x617,x618),f91(x613,x612,x614,x615,x616,x617,x618))
% 172.05/172.08 [62]~E(x621,x622)+E(f91(x623,x624,x621,x625,x626,x627,x628),f91(x623,x624,x622,x625,x626,x627,x628))
% 172.05/172.08 [63]~E(x631,x632)+E(f91(x633,x634,x635,x631,x636,x637,x638),f91(x633,x634,x635,x632,x636,x637,x638))
% 172.05/172.08 [64]~E(x641,x642)+E(f91(x643,x644,x645,x646,x641,x647,x648),f91(x643,x644,x645,x646,x642,x647,x648))
% 172.05/172.08 [65]~E(x651,x652)+E(f91(x653,x654,x655,x656,x657,x651,x658),f91(x653,x654,x655,x656,x657,x652,x658))
% 172.05/172.08 [66]~E(x661,x662)+E(f91(x663,x664,x665,x666,x667,x668,x661),f91(x663,x664,x665,x666,x667,x668,x662))
% 172.05/172.08 [67]~E(x671,x672)+E(f23(x671),f23(x672))
% 172.05/172.08 [68]~E(x681,x682)+E(f15(x681),f15(x682))
% 172.05/172.08 [69]~E(x691,x692)+E(f24(x691),f24(x692))
% 172.05/172.08 [70]~E(x701,x702)+E(f43(x701,x703,x704),f43(x702,x703,x704))
% 172.05/172.08 [71]~E(x711,x712)+E(f43(x713,x711,x714),f43(x713,x712,x714))
% 172.05/172.08 [72]~E(x721,x722)+E(f43(x723,x724,x721),f43(x723,x724,x722))
% 172.05/172.08 [73]~E(x731,x732)+E(f42(x731,x733,x734,x735),f42(x732,x733,x734,x735))
% 172.05/172.08 [74]~E(x741,x742)+E(f42(x743,x741,x744,x745),f42(x743,x742,x744,x745))
% 172.05/172.08 [75]~E(x751,x752)+E(f42(x753,x754,x751,x755),f42(x753,x754,x752,x755))
% 172.05/172.08 [76]~E(x761,x762)+E(f42(x763,x764,x765,x761),f42(x763,x764,x765,x762))
% 172.05/172.08 [77]~E(x771,x772)+E(f82(x771,x773,x774),f82(x772,x773,x774))
% 172.05/172.08 [78]~E(x781,x782)+E(f82(x783,x781,x784),f82(x783,x782,x784))
% 172.05/172.08 [79]~E(x791,x792)+E(f82(x793,x794,x791),f82(x793,x794,x792))
% 172.05/172.08 [80]~E(x801,x802)+E(f94(x801,x803,x804),f94(x802,x803,x804))
% 172.05/172.08 [81]~E(x811,x812)+E(f94(x813,x811,x814),f94(x813,x812,x814))
% 172.05/172.08 [82]~E(x821,x822)+E(f94(x823,x824,x821),f94(x823,x824,x822))
% 172.05/172.08 [83]~E(x831,x832)+E(f93(x831,x833,x834),f93(x832,x833,x834))
% 172.05/172.08 [84]~E(x841,x842)+E(f93(x843,x841,x844),f93(x843,x842,x844))
% 172.05/172.08 [85]~E(x851,x852)+E(f93(x853,x854,x851),f93(x853,x854,x852))
% 172.05/172.08 [86]~E(x861,x862)+E(f101(x861,x863,x864,x865,x866),f101(x862,x863,x864,x865,x866))
% 172.05/172.08 [87]~E(x871,x872)+E(f101(x873,x871,x874,x875,x876),f101(x873,x872,x874,x875,x876))
% 172.05/172.08 [88]~E(x881,x882)+E(f101(x883,x884,x881,x885,x886),f101(x883,x884,x882,x885,x886))
% 172.05/172.08 [89]~E(x891,x892)+E(f101(x893,x894,x895,x891,x896),f101(x893,x894,x895,x892,x896))
% 172.05/172.08 [90]~E(x901,x902)+E(f101(x903,x904,x905,x906,x901),f101(x903,x904,x905,x906,x902))
% 172.05/172.08 [91]~E(x911,x912)+E(f17(x911),f17(x912))
% 172.05/172.08 [92]~E(x921,x922)+E(f92(x921,x923,x924,x925,x926,x927,x928),f92(x922,x923,x924,x925,x926,x927,x928))
% 172.05/172.08 [93]~E(x931,x932)+E(f92(x933,x931,x934,x935,x936,x937,x938),f92(x933,x932,x934,x935,x936,x937,x938))
% 172.05/172.08 [94]~E(x941,x942)+E(f92(x943,x944,x941,x945,x946,x947,x948),f92(x943,x944,x942,x945,x946,x947,x948))
% 172.05/172.08 [95]~E(x951,x952)+E(f92(x953,x954,x955,x951,x956,x957,x958),f92(x953,x954,x955,x952,x956,x957,x958))
% 172.05/172.08 [96]~E(x961,x962)+E(f92(x963,x964,x965,x966,x961,x967,x968),f92(x963,x964,x965,x966,x962,x967,x968))
% 172.05/172.08 [97]~E(x971,x972)+E(f92(x973,x974,x975,x976,x977,x971,x978),f92(x973,x974,x975,x976,x977,x972,x978))
% 172.05/172.08 [98]~E(x981,x982)+E(f92(x983,x984,x985,x986,x987,x988,x981),f92(x983,x984,x985,x986,x987,x988,x982))
% 172.05/172.08 [99]~E(x991,x992)+E(f95(x991,x993),f95(x992,x993))
% 172.05/172.08 [100]~E(x1001,x1002)+E(f95(x1003,x1001),f95(x1003,x1002))
% 172.05/172.08 [101]~E(x1011,x1012)+E(f97(x1011,x1013,x1014),f97(x1012,x1013,x1014))
% 172.05/172.08 [102]~E(x1021,x1022)+E(f97(x1023,x1021,x1024),f97(x1023,x1022,x1024))
% 172.05/172.08 [103]~E(x1031,x1032)+E(f97(x1033,x1034,x1031),f97(x1033,x1034,x1032))
% 172.05/172.08 [104]~E(x1041,x1042)+E(f60(x1041),f60(x1042))
% 172.05/172.08 [105]~E(x1051,x1052)+E(f87(x1051,x1053,x1054),f87(x1052,x1053,x1054))
% 172.05/172.08 [106]~E(x1061,x1062)+E(f87(x1063,x1061,x1064),f87(x1063,x1062,x1064))
% 172.05/172.08 [107]~E(x1071,x1072)+E(f87(x1073,x1074,x1071),f87(x1073,x1074,x1072))
% 172.05/172.08 [108]~E(x1081,x1082)+E(f66(x1081,x1083,x1084),f66(x1082,x1083,x1084))
% 172.05/172.08 [109]~E(x1091,x1092)+E(f66(x1093,x1091,x1094),f66(x1093,x1092,x1094))
% 172.05/172.08 [110]~E(x1101,x1102)+E(f66(x1103,x1104,x1101),f66(x1103,x1104,x1102))
% 172.05/172.08 [111]~E(x1111,x1112)+E(f86(x1111,x1113,x1114,x1115),f86(x1112,x1113,x1114,x1115))
% 172.05/172.08 [112]~E(x1121,x1122)+E(f86(x1123,x1121,x1124,x1125),f86(x1123,x1122,x1124,x1125))
% 172.05/172.08 [113]~E(x1131,x1132)+E(f86(x1133,x1134,x1131,x1135),f86(x1133,x1134,x1132,x1135))
% 172.05/172.08 [114]~E(x1141,x1142)+E(f86(x1143,x1144,x1145,x1141),f86(x1143,x1144,x1145,x1142))
% 172.05/172.08 [115]~E(x1151,x1152)+E(f48(x1151,x1153,x1154),f48(x1152,x1153,x1154))
% 172.05/172.08 [116]~E(x1161,x1162)+E(f48(x1163,x1161,x1164),f48(x1163,x1162,x1164))
% 172.05/172.08 [117]~E(x1171,x1172)+E(f48(x1173,x1174,x1171),f48(x1173,x1174,x1172))
% 172.05/172.08 [118]~E(x1181,x1182)+E(f90(x1181,x1183,x1184,x1185,x1186),f90(x1182,x1183,x1184,x1185,x1186))
% 172.05/172.08 [119]~E(x1191,x1192)+E(f90(x1193,x1191,x1194,x1195,x1196),f90(x1193,x1192,x1194,x1195,x1196))
% 172.05/172.08 [120]~E(x1201,x1202)+E(f90(x1203,x1204,x1201,x1205,x1206),f90(x1203,x1204,x1202,x1205,x1206))
% 172.05/172.08 [121]~E(x1211,x1212)+E(f90(x1213,x1214,x1215,x1211,x1216),f90(x1213,x1214,x1215,x1212,x1216))
% 172.05/172.08 [122]~E(x1221,x1222)+E(f90(x1223,x1224,x1225,x1226,x1221),f90(x1223,x1224,x1225,x1226,x1222))
% 172.05/172.08 [123]~E(x1231,x1232)+E(f9(x1231,x1233,x1234,x1235),f9(x1232,x1233,x1234,x1235))
% 172.05/172.08 [124]~E(x1241,x1242)+E(f9(x1243,x1241,x1244,x1245),f9(x1243,x1242,x1244,x1245))
% 172.05/172.08 [125]~E(x1251,x1252)+E(f9(x1253,x1254,x1251,x1255),f9(x1253,x1254,x1252,x1255))
% 172.05/172.08 [126]~E(x1261,x1262)+E(f9(x1263,x1264,x1265,x1261),f9(x1263,x1264,x1265,x1262))
% 172.05/172.08 [127]~E(x1271,x1272)+E(f11(x1271,x1273),f11(x1272,x1273))
% 172.05/172.08 [128]~E(x1281,x1282)+E(f11(x1283,x1281),f11(x1283,x1282))
% 172.05/172.08 [129]~E(x1291,x1292)+E(f67(x1291,x1293),f67(x1292,x1293))
% 172.05/172.08 [130]~E(x1301,x1302)+E(f67(x1303,x1301),f67(x1303,x1302))
% 172.05/172.08 [131]~E(x1311,x1312)+E(f8(x1311,x1313),f8(x1312,x1313))
% 172.05/172.08 [132]~E(x1321,x1322)+E(f8(x1323,x1321),f8(x1323,x1322))
% 172.05/172.08 [133]~E(x1331,x1332)+E(f19(x1331,x1333,x1334),f19(x1332,x1333,x1334))
% 172.05/172.08 [134]~E(x1341,x1342)+E(f19(x1343,x1341,x1344),f19(x1343,x1342,x1344))
% 172.05/172.08 [135]~E(x1351,x1352)+E(f19(x1353,x1354,x1351),f19(x1353,x1354,x1352))
% 172.05/172.08 [136]~E(x1361,x1362)+E(f61(x1361,x1363),f61(x1362,x1363))
% 172.05/172.08 [137]~E(x1371,x1372)+E(f61(x1373,x1371),f61(x1373,x1372))
% 172.05/172.08 [138]~E(x1381,x1382)+E(f83(x1381,x1383,x1384,x1385),f83(x1382,x1383,x1384,x1385))
% 172.05/172.08 [139]~E(x1391,x1392)+E(f83(x1393,x1391,x1394,x1395),f83(x1393,x1392,x1394,x1395))
% 172.05/172.08 [140]~E(x1401,x1402)+E(f83(x1403,x1404,x1401,x1405),f83(x1403,x1404,x1402,x1405))
% 172.05/172.08 [141]~E(x1411,x1412)+E(f83(x1413,x1414,x1415,x1411),f83(x1413,x1414,x1415,x1412))
% 172.05/172.08 [142]~E(x1421,x1422)+E(f77(x1421,x1423,x1424),f77(x1422,x1423,x1424))
% 172.05/172.08 [143]~E(x1431,x1432)+E(f77(x1433,x1431,x1434),f77(x1433,x1432,x1434))
% 172.05/172.08 [144]~E(x1441,x1442)+E(f77(x1443,x1444,x1441),f77(x1443,x1444,x1442))
% 172.05/172.08 [145]~E(x1451,x1452)+E(f64(x1451,x1453),f64(x1452,x1453))
% 172.05/172.08 [146]~E(x1461,x1462)+E(f64(x1463,x1461),f64(x1463,x1462))
% 172.05/172.08 [147]~E(x1471,x1472)+E(f99(x1471,x1473),f99(x1472,x1473))
% 172.05/172.08 [148]~E(x1481,x1482)+E(f99(x1483,x1481),f99(x1483,x1482))
% 172.05/172.08 [149]~E(x1491,x1492)+E(f65(x1491,x1493,x1494),f65(x1492,x1493,x1494))
% 172.05/172.08 [150]~E(x1501,x1502)+E(f65(x1503,x1501,x1504),f65(x1503,x1502,x1504))
% 172.05/172.08 [151]~E(x1511,x1512)+E(f65(x1513,x1514,x1511),f65(x1513,x1514,x1512))
% 172.05/172.08 [152]~E(x1521,x1522)+E(f76(x1521,x1523,x1524),f76(x1522,x1523,x1524))
% 172.05/172.08 [153]~E(x1531,x1532)+E(f76(x1533,x1531,x1534),f76(x1533,x1532,x1534))
% 172.05/172.08 [154]~E(x1541,x1542)+E(f76(x1543,x1544,x1541),f76(x1543,x1544,x1542))
% 172.05/172.08 [155]~E(x1551,x1552)+E(f71(x1551,x1553),f71(x1552,x1553))
% 172.05/172.08 [156]~E(x1561,x1562)+E(f71(x1563,x1561),f71(x1563,x1562))
% 172.05/172.08 [157]~E(x1571,x1572)+E(f59(x1571),f59(x1572))
% 172.05/172.08 [158]~E(x1581,x1582)+E(f68(x1581,x1583),f68(x1582,x1583))
% 172.05/172.08 [159]~E(x1591,x1592)+E(f68(x1593,x1591),f68(x1593,x1592))
% 172.05/172.08 [160]~E(x1601,x1602)+E(f73(x1601,x1603),f73(x1602,x1603))
% 172.05/172.08 [161]~E(x1611,x1612)+E(f73(x1613,x1611),f73(x1613,x1612))
% 172.05/172.08 [162]~E(x1621,x1622)+E(f46(x1621,x1623,x1624),f46(x1622,x1623,x1624))
% 172.05/172.08 [163]~E(x1631,x1632)+E(f46(x1633,x1631,x1634),f46(x1633,x1632,x1634))
% 172.05/172.08 [164]~E(x1641,x1642)+E(f46(x1643,x1644,x1641),f46(x1643,x1644,x1642))
% 172.05/172.08 [165]~E(x1651,x1652)+E(f104(x1651,x1653),f104(x1652,x1653))
% 172.05/172.08 [166]~E(x1661,x1662)+E(f104(x1663,x1661),f104(x1663,x1662))
% 172.05/172.08 [167]~E(x1671,x1672)+E(f70(x1671,x1673),f70(x1672,x1673))
% 172.05/172.08 [168]~E(x1681,x1682)+E(f70(x1683,x1681),f70(x1683,x1682))
% 172.05/172.08 [169]~E(x1691,x1692)+E(f39(x1691,x1693,x1694),f39(x1692,x1693,x1694))
% 172.05/172.08 [170]~E(x1701,x1702)+E(f39(x1703,x1701,x1704),f39(x1703,x1702,x1704))
% 172.05/172.08 [171]~E(x1711,x1712)+E(f39(x1713,x1714,x1711),f39(x1713,x1714,x1712))
% 172.05/172.08 [172]~E(x1721,x1722)+E(f52(x1721,x1723),f52(x1722,x1723))
% 172.05/172.08 [173]~E(x1731,x1732)+E(f52(x1733,x1731),f52(x1733,x1732))
% 172.05/172.08 [174]~E(x1741,x1742)+E(f21(x1741,x1743),f21(x1742,x1743))
% 172.05/172.08 [175]~E(x1751,x1752)+E(f21(x1753,x1751),f21(x1753,x1752))
% 172.05/172.08 [176]~E(x1761,x1762)+E(f54(x1761,x1763,x1764),f54(x1762,x1763,x1764))
% 172.05/172.08 [177]~E(x1771,x1772)+E(f54(x1773,x1771,x1774),f54(x1773,x1772,x1774))
% 172.05/172.08 [178]~E(x1781,x1782)+E(f54(x1783,x1784,x1781),f54(x1783,x1784,x1782))
% 172.05/172.08 [179]~E(x1791,x1792)+E(f56(x1791,x1793),f56(x1792,x1793))
% 172.05/172.08 [180]~E(x1801,x1802)+E(f56(x1803,x1801),f56(x1803,x1802))
% 172.05/172.08 [181]~E(x1811,x1812)+E(f88(x1811,x1813,x1814),f88(x1812,x1813,x1814))
% 172.05/172.08 [182]~E(x1821,x1822)+E(f88(x1823,x1821,x1824),f88(x1823,x1822,x1824))
% 172.05/172.08 [183]~E(x1831,x1832)+E(f88(x1833,x1834,x1831),f88(x1833,x1834,x1832))
% 172.05/172.08 [184]~E(x1841,x1842)+E(f98(x1841,x1843,x1844),f98(x1842,x1843,x1844))
% 172.05/172.08 [185]~E(x1851,x1852)+E(f98(x1853,x1851,x1854),f98(x1853,x1852,x1854))
% 172.05/172.08 [186]~E(x1861,x1862)+E(f98(x1863,x1864,x1861),f98(x1863,x1864,x1862))
% 172.05/172.08 [187]~E(x1871,x1872)+E(f50(x1871,x1873,x1874),f50(x1872,x1873,x1874))
% 172.05/172.08 [188]~E(x1881,x1882)+E(f50(x1883,x1881,x1884),f50(x1883,x1882,x1884))
% 172.05/172.08 [189]~E(x1891,x1892)+E(f50(x1893,x1894,x1891),f50(x1893,x1894,x1892))
% 172.05/172.08 [190]~E(x1901,x1902)+E(f78(x1901,x1903,x1904,x1905),f78(x1902,x1903,x1904,x1905))
% 172.05/172.08 [191]~E(x1911,x1912)+E(f78(x1913,x1911,x1914,x1915),f78(x1913,x1912,x1914,x1915))
% 172.05/172.08 [192]~E(x1921,x1922)+E(f78(x1923,x1924,x1921,x1925),f78(x1923,x1924,x1922,x1925))
% 172.05/172.08 [193]~E(x1931,x1932)+E(f78(x1933,x1934,x1935,x1931),f78(x1933,x1934,x1935,x1932))
% 172.05/172.08 [194]~E(x1941,x1942)+E(f51(x1941,x1943,x1944),f51(x1942,x1943,x1944))
% 172.05/172.08 [195]~E(x1951,x1952)+E(f51(x1953,x1951,x1954),f51(x1953,x1952,x1954))
% 172.05/172.08 [196]~E(x1961,x1962)+E(f51(x1963,x1964,x1961),f51(x1963,x1964,x1962))
% 172.05/172.08 [197]~E(x1971,x1972)+E(f55(x1971,x1973,x1974),f55(x1972,x1973,x1974))
% 172.05/172.08 [198]~E(x1981,x1982)+E(f55(x1983,x1981,x1984),f55(x1983,x1982,x1984))
% 172.05/172.08 [199]~E(x1991,x1992)+E(f55(x1993,x1994,x1991),f55(x1993,x1994,x1992))
% 172.05/172.08 [200]~E(x2001,x2002)+E(f105(x2001,x2003,x2004,x2005,x2006),f105(x2002,x2003,x2004,x2005,x2006))
% 172.05/172.08 [201]~E(x2011,x2012)+E(f105(x2013,x2011,x2014,x2015,x2016),f105(x2013,x2012,x2014,x2015,x2016))
% 172.05/172.08 [202]~E(x2021,x2022)+E(f105(x2023,x2024,x2021,x2025,x2026),f105(x2023,x2024,x2022,x2025,x2026))
% 172.05/172.08 [203]~E(x2031,x2032)+E(f105(x2033,x2034,x2035,x2031,x2036),f105(x2033,x2034,x2035,x2032,x2036))
% 172.05/172.08 [204]~E(x2041,x2042)+E(f105(x2043,x2044,x2045,x2046,x2041),f105(x2043,x2044,x2045,x2046,x2042))
% 172.05/172.08 [205]~E(x2051,x2052)+E(f80(x2051,x2053),f80(x2052,x2053))
% 172.05/172.08 [206]~E(x2061,x2062)+E(f80(x2063,x2061),f80(x2063,x2062))
% 172.05/172.08 [207]~E(x2071,x2072)+E(f35(x2071),f35(x2072))
% 172.05/172.08 [208]~E(x2081,x2082)+E(f74(x2081,x2083),f74(x2082,x2083))
% 172.05/172.08 [209]~E(x2091,x2092)+E(f74(x2093,x2091),f74(x2093,x2092))
% 172.05/172.08 [210]~E(x2101,x2102)+E(f85(x2101,x2103,x2104,x2105),f85(x2102,x2103,x2104,x2105))
% 172.05/172.08 [211]~E(x2111,x2112)+E(f85(x2113,x2111,x2114,x2115),f85(x2113,x2112,x2114,x2115))
% 172.05/172.08 [212]~E(x2121,x2122)+E(f85(x2123,x2124,x2121,x2125),f85(x2123,x2124,x2122,x2125))
% 172.05/172.08 [213]~E(x2131,x2132)+E(f85(x2133,x2134,x2135,x2131),f85(x2133,x2134,x2135,x2132))
% 172.05/172.08 [214]~E(x2141,x2142)+E(f25(x2141,x2143,x2144),f25(x2142,x2143,x2144))
% 172.05/172.08 [215]~E(x2151,x2152)+E(f25(x2153,x2151,x2154),f25(x2153,x2152,x2154))
% 172.05/172.08 [216]~E(x2161,x2162)+E(f25(x2163,x2164,x2161),f25(x2163,x2164,x2162))
% 172.05/172.08 [217]~E(x2171,x2172)+E(f44(x2171,x2173,x2174),f44(x2172,x2173,x2174))
% 172.05/172.08 [218]~E(x2181,x2182)+E(f44(x2183,x2181,x2184),f44(x2183,x2182,x2184))
% 172.05/172.08 [219]~E(x2191,x2192)+E(f44(x2193,x2194,x2191),f44(x2193,x2194,x2192))
% 172.05/172.08 [220]~E(x2201,x2202)+E(f102(x2201,x2203,x2204,x2205,x2206),f102(x2202,x2203,x2204,x2205,x2206))
% 172.05/172.08 [221]~E(x2211,x2212)+E(f102(x2213,x2211,x2214,x2215,x2216),f102(x2213,x2212,x2214,x2215,x2216))
% 172.05/172.08 [222]~E(x2221,x2222)+E(f102(x2223,x2224,x2221,x2225,x2226),f102(x2223,x2224,x2222,x2225,x2226))
% 172.05/172.08 [223]~E(x2231,x2232)+E(f102(x2233,x2234,x2235,x2231,x2236),f102(x2233,x2234,x2235,x2232,x2236))
% 172.05/172.08 [224]~E(x2241,x2242)+E(f102(x2243,x2244,x2245,x2246,x2241),f102(x2243,x2244,x2245,x2246,x2242))
% 172.05/172.08 [225]~E(x2251,x2252)+E(f75(x2251,x2253,x2254),f75(x2252,x2253,x2254))
% 172.05/172.08 [226]~E(x2261,x2262)+E(f75(x2263,x2261,x2264),f75(x2263,x2262,x2264))
% 172.05/172.08 [227]~E(x2271,x2272)+E(f75(x2273,x2274,x2271),f75(x2273,x2274,x2272))
% 172.05/172.08 [228]~E(x2281,x2282)+E(f45(x2281,x2283,x2284),f45(x2282,x2283,x2284))
% 172.05/172.08 [229]~E(x2291,x2292)+E(f45(x2293,x2291,x2294),f45(x2293,x2292,x2294))
% 172.05/172.08 [230]~E(x2301,x2302)+E(f45(x2303,x2304,x2301),f45(x2303,x2304,x2302))
% 172.05/172.08 [231]~E(x2311,x2312)+E(f53(x2311,x2313),f53(x2312,x2313))
% 172.05/172.08 [232]~E(x2321,x2322)+E(f53(x2323,x2321),f53(x2323,x2322))
% 172.05/172.08 [233]~E(x2331,x2332)+E(f89(x2331,x2333,x2334),f89(x2332,x2333,x2334))
% 172.05/172.08 [234]~E(x2341,x2342)+E(f89(x2343,x2341,x2344),f89(x2343,x2342,x2344))
% 172.05/172.08 [235]~E(x2351,x2352)+E(f89(x2353,x2354,x2351),f89(x2353,x2354,x2352))
% 172.05/172.08 [236]~E(x2361,x2362)+E(f40(x2361,x2363,x2364),f40(x2362,x2363,x2364))
% 172.05/172.08 [237]~E(x2371,x2372)+E(f40(x2373,x2371,x2374),f40(x2373,x2372,x2374))
% 172.05/172.08 [238]~E(x2381,x2382)+E(f40(x2383,x2384,x2381),f40(x2383,x2384,x2382))
% 172.05/172.08 [239]~E(x2391,x2392)+E(f69(x2391,x2393),f69(x2392,x2393))
% 172.05/172.08 [240]~E(x2401,x2402)+E(f69(x2403,x2401),f69(x2403,x2402))
% 172.05/172.08 [241]~E(x2411,x2412)+E(f37(x2411,x2413),f37(x2412,x2413))
% 172.05/172.08 [242]~E(x2421,x2422)+E(f37(x2423,x2421),f37(x2423,x2422))
% 172.05/172.08 [243]~E(x2431,x2432)+E(f41(x2431,x2433,x2434),f41(x2432,x2433,x2434))
% 172.05/172.08 [244]~E(x2441,x2442)+E(f41(x2443,x2441,x2444),f41(x2443,x2442,x2444))
% 172.05/172.08 [245]~E(x2451,x2452)+E(f41(x2453,x2454,x2451),f41(x2453,x2454,x2452))
% 172.05/172.08 [246]~E(x2461,x2462)+E(f103(x2461,x2463),f103(x2462,x2463))
% 172.05/172.08 [247]~E(x2471,x2472)+E(f103(x2473,x2471),f103(x2473,x2472))
% 172.05/172.08 [248]~E(x2481,x2482)+E(f81(x2481,x2483),f81(x2482,x2483))
% 172.05/172.08 [249]~E(x2491,x2492)+E(f81(x2493,x2491),f81(x2493,x2492))
% 172.05/172.08 [250]~E(x2501,x2502)+E(f18(x2501,x2503,x2504),f18(x2502,x2503,x2504))
% 172.05/172.08 [251]~E(x2511,x2512)+E(f18(x2513,x2511,x2514),f18(x2513,x2512,x2514))
% 172.05/172.08 [252]~E(x2521,x2522)+E(f18(x2523,x2524,x2521),f18(x2523,x2524,x2522))
% 172.05/172.08 [253]~E(x2531,x2532)+E(f100(x2531),f100(x2532))
% 172.05/172.08 [254]~E(x2541,x2542)+E(f26(x2541,x2543),f26(x2542,x2543))
% 172.05/172.08 [255]~E(x2551,x2552)+E(f26(x2553,x2551),f26(x2553,x2552))
% 172.05/172.08 [256]~E(x2561,x2562)+E(f72(x2561,x2563),f72(x2562,x2563))
% 172.05/172.08 [257]~E(x2571,x2572)+E(f72(x2573,x2571),f72(x2573,x2572))
% 172.05/172.08 [258]~E(x2581,x2582)+E(f49(x2581,x2583,x2584),f49(x2582,x2583,x2584))
% 172.05/172.08 [259]~E(x2591,x2592)+E(f49(x2593,x2591,x2594),f49(x2593,x2592,x2594))
% 172.05/172.08 [260]~E(x2601,x2602)+E(f49(x2603,x2604,x2601),f49(x2603,x2604,x2602))
% 172.05/172.08 [261]~E(x2611,x2612)+E(f10(x2611,x2613,x2614,x2615),f10(x2612,x2613,x2614,x2615))
% 172.05/172.08 [262]~E(x2621,x2622)+E(f10(x2623,x2621,x2624,x2625),f10(x2623,x2622,x2624,x2625))
% 172.05/172.08 [263]~E(x2631,x2632)+E(f10(x2633,x2634,x2631,x2635),f10(x2633,x2634,x2632,x2635))
% 172.05/172.08 [264]~E(x2641,x2642)+E(f10(x2643,x2644,x2645,x2641),f10(x2643,x2644,x2645,x2642))
% 172.05/172.08 [265]~E(x2651,x2652)+E(f107(x2651),f107(x2652))
% 172.05/172.08 [266]~E(x2661,x2662)+E(f32(x2661,x2663),f32(x2662,x2663))
% 172.05/172.08 [267]~E(x2671,x2672)+E(f32(x2673,x2671),f32(x2673,x2672))
% 172.05/172.08 [268]~E(x2681,x2682)+E(f62(x2681,x2683),f62(x2682,x2683))
% 172.05/172.08 [269]~E(x2691,x2692)+E(f62(x2693,x2691),f62(x2693,x2692))
% 172.05/172.08 [270]~E(x2701,x2702)+E(f38(x2701,x2703),f38(x2702,x2703))
% 172.05/172.08 [271]~E(x2711,x2712)+E(f38(x2713,x2711),f38(x2713,x2712))
% 172.05/172.08 [272]~P1(x2721)+P1(x2722)+~E(x2721,x2722)
% 172.05/172.08 [273]~P2(x2731)+P2(x2732)+~E(x2731,x2732)
% 172.05/172.08 [274]P7(x2742,x2743,x2744,x2745,x2746,x2747)+~E(x2741,x2742)+~P7(x2741,x2743,x2744,x2745,x2746,x2747)
% 172.05/172.08 [275]P7(x2753,x2752,x2754,x2755,x2756,x2757)+~E(x2751,x2752)+~P7(x2753,x2751,x2754,x2755,x2756,x2757)
% 172.05/172.08 [276]P7(x2763,x2764,x2762,x2765,x2766,x2767)+~E(x2761,x2762)+~P7(x2763,x2764,x2761,x2765,x2766,x2767)
% 172.05/172.08 [277]P7(x2773,x2774,x2775,x2772,x2776,x2777)+~E(x2771,x2772)+~P7(x2773,x2774,x2775,x2771,x2776,x2777)
% 172.05/172.08 [278]P7(x2783,x2784,x2785,x2786,x2782,x2787)+~E(x2781,x2782)+~P7(x2783,x2784,x2785,x2786,x2781,x2787)
% 172.05/172.08 [279]P7(x2793,x2794,x2795,x2796,x2797,x2792)+~E(x2791,x2792)+~P7(x2793,x2794,x2795,x2796,x2797,x2791)
% 172.05/172.08 [280]~P78(x2801)+P78(x2802)+~E(x2801,x2802)
% 172.05/172.08 [281]P4(x2812,x2813,x2814)+~E(x2811,x2812)+~P4(x2811,x2813,x2814)
% 172.05/172.08 [282]P4(x2823,x2822,x2824)+~E(x2821,x2822)+~P4(x2823,x2821,x2824)
% 172.05/172.08 [283]P4(x2833,x2834,x2832)+~E(x2831,x2832)+~P4(x2833,x2834,x2831)
% 172.05/172.08 [284]~P3(x2841)+P3(x2842)+~E(x2841,x2842)
% 172.05/172.08 [285]~P48(x2851)+P48(x2852)+~E(x2851,x2852)
% 172.05/172.08 [286]P6(x2862,x2863,x2864)+~E(x2861,x2862)+~P6(x2861,x2863,x2864)
% 172.05/172.08 [287]P6(x2873,x2872,x2874)+~E(x2871,x2872)+~P6(x2873,x2871,x2874)
% 172.05/172.08 [288]P6(x2883,x2884,x2882)+~E(x2881,x2882)+~P6(x2883,x2884,x2881)
% 172.05/172.08 [289]~P58(x2891)+P58(x2892)+~E(x2891,x2892)
% 172.05/172.08 [290]P5(x2902,x2903,x2904)+~E(x2901,x2902)+~P5(x2901,x2903,x2904)
% 172.05/172.08 [291]P5(x2913,x2912,x2914)+~E(x2911,x2912)+~P5(x2913,x2911,x2914)
% 172.05/172.08 [292]P5(x2923,x2924,x2922)+~E(x2921,x2922)+~P5(x2923,x2924,x2921)
% 172.05/172.08 [293]~P17(x2931)+P17(x2932)+~E(x2931,x2932)
% 172.05/172.08 [294]~P59(x2941)+P59(x2942)+~E(x2941,x2942)
% 172.05/172.08 [295]~P73(x2951)+P73(x2952)+~E(x2951,x2952)
% 172.05/172.08 [296]~P49(x2961)+P49(x2962)+~E(x2961,x2962)
% 172.05/172.08 [297]P13(x2972,x2973,x2974)+~E(x2971,x2972)+~P13(x2971,x2973,x2974)
% 172.05/172.08 [298]P13(x2983,x2982,x2984)+~E(x2981,x2982)+~P13(x2983,x2981,x2984)
% 172.05/172.08 [299]P13(x2993,x2994,x2992)+~E(x2991,x2992)+~P13(x2993,x2994,x2991)
% 172.05/172.08 [300]~P55(x3001)+P55(x3002)+~E(x3001,x3002)
% 172.05/172.08 [301]P8(x3012,x3013,x3014,x3015,x3016,x3017)+~E(x3011,x3012)+~P8(x3011,x3013,x3014,x3015,x3016,x3017)
% 172.05/172.08 [302]P8(x3023,x3022,x3024,x3025,x3026,x3027)+~E(x3021,x3022)+~P8(x3023,x3021,x3024,x3025,x3026,x3027)
% 172.05/172.08 [303]P8(x3033,x3034,x3032,x3035,x3036,x3037)+~E(x3031,x3032)+~P8(x3033,x3034,x3031,x3035,x3036,x3037)
% 172.05/172.08 [304]P8(x3043,x3044,x3045,x3042,x3046,x3047)+~E(x3041,x3042)+~P8(x3043,x3044,x3045,x3041,x3046,x3047)
% 172.05/172.08 [305]P8(x3053,x3054,x3055,x3056,x3052,x3057)+~E(x3051,x3052)+~P8(x3053,x3054,x3055,x3056,x3051,x3057)
% 172.05/172.08 [306]P8(x3063,x3064,x3065,x3066,x3067,x3062)+~E(x3061,x3062)+~P8(x3063,x3064,x3065,x3066,x3067,x3061)
% 172.05/172.08 [307]~P50(x3071)+P50(x3072)+~E(x3071,x3072)
% 172.05/172.08 [308]~P46(x3081)+P46(x3082)+~E(x3081,x3082)
% 172.05/172.08 [309]~P18(x3091)+P18(x3092)+~E(x3091,x3092)
% 172.05/172.08 [310]P12(x3102,x3103,x3104)+~E(x3101,x3102)+~P12(x3101,x3103,x3104)
% 172.05/172.08 [311]P12(x3113,x3112,x3114)+~E(x3111,x3112)+~P12(x3113,x3111,x3114)
% 172.05/172.08 [312]P12(x3123,x3124,x3122)+~E(x3121,x3122)+~P12(x3123,x3124,x3121)
% 172.05/172.08 [313]~P19(x3131)+P19(x3132)+~E(x3131,x3132)
% 172.05/172.08 [314]~P38(x3141)+P38(x3142)+~E(x3141,x3142)
% 172.05/172.08 [315]~P44(x3151)+P44(x3152)+~E(x3151,x3152)
% 172.05/172.08 [316]~P29(x3161)+P29(x3162)+~E(x3161,x3162)
% 172.05/172.08 [317]~P20(x3171)+P20(x3172)+~E(x3171,x3172)
% 172.05/172.08 [318]~P66(x3181)+P66(x3182)+~E(x3181,x3182)
% 172.05/172.08 [319]~P60(x3191)+P60(x3192)+~E(x3191,x3192)
% 172.05/172.08 [320]P14(x3202,x3203)+~E(x3201,x3202)+~P14(x3201,x3203)
% 172.05/172.08 [321]P14(x3213,x3212)+~E(x3211,x3212)+~P14(x3213,x3211)
% 172.05/172.08 [322]~P71(x3221)+P71(x3222)+~E(x3221,x3222)
% 172.05/172.08 [323]~P47(x3231)+P47(x3232)+~E(x3231,x3232)
% 172.05/172.08 [324]~P53(x3241)+P53(x3242)+~E(x3241,x3242)
% 172.05/172.08 [325]~P36(x3251)+P36(x3252)+~E(x3251,x3252)
% 172.05/172.08 [326]~P26(x3261)+P26(x3262)+~E(x3261,x3262)
% 172.05/172.08 [327]~P21(x3271)+P21(x3272)+~E(x3271,x3272)
% 172.05/172.08 [328]~P45(x3281)+P45(x3282)+~E(x3281,x3282)
% 172.05/172.08 [329]~P77(x3291)+P77(x3292)+~E(x3291,x3292)
% 172.05/172.08 [330]~P52(x3301)+P52(x3302)+~E(x3301,x3302)
% 172.05/172.08 [331]~P31(x3311)+P31(x3312)+~E(x3311,x3312)
% 172.05/172.08 [332]~P22(x3321)+P22(x3322)+~E(x3321,x3322)
% 172.05/172.08 [333]P11(x3332,x3333,x3334,x3335)+~E(x3331,x3332)+~P11(x3331,x3333,x3334,x3335)
% 172.05/172.08 [334]P11(x3343,x3342,x3344,x3345)+~E(x3341,x3342)+~P11(x3343,x3341,x3344,x3345)
% 172.05/172.08 [335]P11(x3353,x3354,x3352,x3355)+~E(x3351,x3352)+~P11(x3353,x3354,x3351,x3355)
% 172.05/172.08 [336]P11(x3363,x3364,x3365,x3362)+~E(x3361,x3362)+~P11(x3363,x3364,x3365,x3361)
% 172.05/172.08 [337]~P56(x3371)+P56(x3372)+~E(x3371,x3372)
% 172.05/172.08 [338]~P32(x3381)+P32(x3382)+~E(x3381,x3382)
% 172.05/172.08 [339]~P33(x3391)+P33(x3392)+~E(x3391,x3392)
% 172.05/172.08 [340]~P72(x3401)+P72(x3402)+~E(x3401,x3402)
% 172.05/172.08 [341]~P37(x3411)+P37(x3412)+~E(x3411,x3412)
% 172.05/172.08 [342]~P41(x3421)+P41(x3422)+~E(x3421,x3422)
% 172.05/172.08 [343]~P68(x3431)+P68(x3432)+~E(x3431,x3432)
% 172.05/172.08 [344]~P23(x3441)+P23(x3442)+~E(x3441,x3442)
% 172.05/172.08 [345]P9(x3452,x3453,x3454,x3455)+~E(x3451,x3452)+~P9(x3451,x3453,x3454,x3455)
% 172.05/172.08 [346]P9(x3463,x3462,x3464,x3465)+~E(x3461,x3462)+~P9(x3463,x3461,x3464,x3465)
% 172.05/172.08 [347]P9(x3473,x3474,x3472,x3475)+~E(x3471,x3472)+~P9(x3473,x3474,x3471,x3475)
% 172.05/172.08 [348]P9(x3483,x3484,x3485,x3482)+~E(x3481,x3482)+~P9(x3483,x3484,x3485,x3481)
% 172.05/172.08 [349]~P24(x3491)+P24(x3492)+~E(x3491,x3492)
% 172.05/172.08 [350]~P51(x3501)+P51(x3502)+~E(x3501,x3502)
% 172.05/172.08 [351]~P25(x3511)+P25(x3512)+~E(x3511,x3512)
% 172.05/172.08 [352]~P69(x3521)+P69(x3522)+~E(x3521,x3522)
% 172.05/172.08 [353]~P42(x3531)+P42(x3532)+~E(x3531,x3532)
% 172.05/172.08 [354]~P63(x3541)+P63(x3542)+~E(x3541,x3542)
% 172.05/172.08 [355]P10(x3552,x3553,x3554)+~E(x3551,x3552)+~P10(x3551,x3553,x3554)
% 172.05/172.08 [356]P10(x3563,x3562,x3564)+~E(x3561,x3562)+~P10(x3563,x3561,x3564)
% 172.05/172.08 [357]P10(x3573,x3574,x3572)+~E(x3571,x3572)+~P10(x3573,x3574,x3571)
% 172.05/172.08 [358]~P57(x3581)+P57(x3582)+~E(x3581,x3582)
% 172.05/172.08 [359]~P43(x3591)+P43(x3592)+~E(x3591,x3592)
% 172.05/172.08 [360]~P76(x3601)+P76(x3602)+~E(x3601,x3602)
% 172.05/172.08 [361]~P34(x3611)+P34(x3612)+~E(x3611,x3612)
% 172.05/172.08 [362]~P39(x3621)+P39(x3622)+~E(x3621,x3622)
% 172.05/172.08 [363]~P62(x3631)+P62(x3632)+~E(x3631,x3632)
% 172.05/172.08 [364]~P67(x3641)+P67(x3642)+~E(x3641,x3642)
% 172.05/172.08 [365]~P70(x3651)+P70(x3652)+~E(x3651,x3652)
% 172.05/172.08 [366]~P40(x3661)+P40(x3662)+~E(x3661,x3662)
% 172.05/172.08 [367]P15(x3672,x3673)+~E(x3671,x3672)+~P15(x3671,x3673)
% 172.05/172.08 [368]P15(x3683,x3682)+~E(x3681,x3682)+~P15(x3683,x3681)
% 172.05/172.08 [369]~P35(x3691)+P35(x3692)+~E(x3691,x3692)
% 172.05/172.08 [370]~P65(x3701)+P65(x3702)+~E(x3701,x3702)
% 172.05/172.08 [371]~P61(x3711)+P61(x3712)+~E(x3711,x3712)
% 172.05/172.08 [372]~P30(x3721)+P30(x3722)+~E(x3721,x3722)
% 172.05/172.08 [373]~P64(x3731)+P64(x3732)+~E(x3731,x3732)
% 172.05/172.08 [374]~P74(x3741)+P74(x3742)+~E(x3741,x3742)
% 172.05/172.08 [375]P16(x3752,x3753)+~E(x3751,x3752)+~P16(x3751,x3753)
% 172.05/172.08 [376]P16(x3763,x3762)+~E(x3761,x3762)+~P16(x3763,x3761)
% 172.05/172.08 [377]~P54(x3771)+P54(x3772)+~E(x3771,x3772)
% 172.05/172.08 [378]~P75(x3781)+P75(x3782)+~E(x3781,x3782)
% 172.05/172.08 [379]~P27(x3791)+P27(x3792)+~E(x3791,x3792)
% 172.05/172.08 [380]~P28(x3801)+P28(x3802)+~E(x3801,x3802)
% 172.05/172.08
% 172.05/172.08 %-------------------------------------------
% 172.48/172.27 cnf(1911,plain,
% 172.48/172.27 (E(f3(a110),f2(a110))),
% 172.48/172.27 inference(scs_inference,[],[549,2])).
% 172.48/172.27 cnf(1912,plain,
% 172.48/172.27 (~P6(a109,x19121,x19121)),
% 172.48/172.27 inference(scs_inference,[],[387,549,2,898])).
% 172.48/172.27 cnf(1914,plain,
% 172.48/172.27 (~E(f3(a111),f4(a111))),
% 172.48/172.27 inference(scs_inference,[],[387,549,594,2,898,889])).
% 172.48/172.27 cnf(1916,plain,
% 172.48/172.27 (~E(x19161,f13(a109,f29(a110,f27(x19161)),f4(a109)))),
% 172.48/172.27 inference(scs_inference,[],[387,549,594,661,2,898,889,883])).
% 172.48/172.27 cnf(1918,plain,
% 172.48/172.27 (~P6(a110,x19181,f2(a110))),
% 172.48/172.27 inference(scs_inference,[],[387,549,594,661,2,898,889,883,892])).
% 172.48/172.27 cnf(1921,plain,
% 172.48/172.27 (E(f14(f114(x19211,a1),x19212,x19212),x19212)),
% 172.48/172.27 inference(rename_variables,[],[601])).
% 172.48/172.27 cnf(1923,plain,
% 172.48/172.27 (P6(a111,x19231,f13(a111,x19231,f4(a111)))),
% 172.48/172.27 inference(scs_inference,[],[580,387,549,594,601,661,2,898,889,883,892,1592,1326])).
% 172.48/172.27 cnf(1924,plain,
% 172.48/172.27 (P5(a111,x19241,x19241)),
% 172.48/172.27 inference(rename_variables,[],[580])).
% 172.48/172.27 cnf(1926,plain,
% 172.48/172.27 (P6(a111,f5(a111,x19261,f4(a111)),x19261)),
% 172.48/172.27 inference(scs_inference,[],[580,1924,387,549,594,601,661,2,898,889,883,892,1592,1326,1324])).
% 172.48/172.27 cnf(1927,plain,
% 172.48/172.27 (P5(a111,x19271,x19271)),
% 172.48/172.27 inference(rename_variables,[],[580])).
% 172.48/172.27 cnf(1930,plain,
% 172.48/172.27 (P5(a110,x19301,f13(a110,x19302,x19301))),
% 172.48/172.27 inference(rename_variables,[],[637])).
% 172.48/172.27 cnf(1933,plain,
% 172.48/172.27 (P5(a110,x19331,f13(a110,x19332,x19331))),
% 172.48/172.27 inference(rename_variables,[],[637])).
% 172.48/172.27 cnf(1935,plain,
% 172.48/172.27 (~P6(a110,x19351,f5(a110,x19351,x19352))),
% 172.48/172.27 inference(scs_inference,[],[580,1924,737,387,549,594,637,1930,601,661,2,898,889,883,892,1592,1326,1324,1312,1311,1198])).
% 172.48/172.27 cnf(1936,plain,
% 172.48/172.27 (~P6(a110,x19361,x19361)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(1939,plain,
% 172.48/172.27 (~P6(a110,f13(a110,x19391,x19392),x19392)),
% 172.48/172.27 inference(rename_variables,[],[749])).
% 172.48/172.27 cnf(1942,plain,
% 172.48/172.27 (~P6(a110,f13(a110,x19421,x19422),x19422)),
% 172.48/172.27 inference(rename_variables,[],[749])).
% 172.48/172.27 cnf(1945,plain,
% 172.48/172.27 (E(f14(f114(x19451,a1),x19452,x19452),x19452)),
% 172.48/172.27 inference(rename_variables,[],[601])).
% 172.48/172.27 cnf(1947,plain,
% 172.48/172.27 (~P4(x19471,x19472,f14(f114(x19473,a1),f2(f114(x19471,a1)),f2(f114(x19471,a1))))),
% 172.48/172.27 inference(scs_inference,[],[580,1924,737,387,549,594,637,1930,749,1939,601,1921,1945,661,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983])).
% 172.48/172.27 cnf(1948,plain,
% 172.48/172.27 (E(f14(f114(x19481,a1),x19482,x19482),x19482)),
% 172.48/172.27 inference(rename_variables,[],[601])).
% 172.48/172.27 cnf(1956,plain,
% 172.48/172.27 (P6(a109,f28(f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f13(a109,f29(a110,f27(f3(a109))),f4(a109)))),
% 172.48/172.27 inference(scs_inference,[],[580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,661,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006])).
% 172.48/172.27 cnf(1957,plain,
% 172.48/172.27 (P6(a109,x19571,f13(a109,f29(a110,f27(x19571)),f4(a109)))),
% 172.48/172.27 inference(rename_variables,[],[661])).
% 172.48/172.27 cnf(1959,plain,
% 172.48/172.27 (~P78(f33(f14(f114(x19591,a1),f2(f114(x19592,a1)),f2(f114(x19592,a1))),x19593))),
% 172.48/172.27 inference(scs_inference,[],[580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,1948,661,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895])).
% 172.48/172.27 cnf(1960,plain,
% 172.48/172.27 (E(f14(f114(x19601,a1),x19602,x19602),x19602)),
% 172.48/172.27 inference(rename_variables,[],[601])).
% 172.48/172.27 cnf(1964,plain,
% 172.48/172.27 (P6(a110,x19641,f22(f13(a109,f29(a110,x19641),f4(a109))))),
% 172.48/172.27 inference(scs_inference,[],[580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,1948,606,661,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561])).
% 172.48/172.27 cnf(1965,plain,
% 172.48/172.27 (P5(a109,x19651,f29(a110,f22(x19651)))),
% 172.48/172.27 inference(rename_variables,[],[606])).
% 172.48/172.27 cnf(1968,plain,
% 172.48/172.27 (P6(a109,x19681,f13(a109,f29(a110,f27(x19681)),f4(a109)))),
% 172.48/172.27 inference(rename_variables,[],[661])).
% 172.48/172.27 cnf(1970,plain,
% 172.48/172.27 (P6(a109,x19701,f29(a110,f13(a110,f27(x19701),f4(a110))))),
% 172.48/172.27 inference(scs_inference,[],[579,580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,1948,606,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435])).
% 172.48/172.27 cnf(1971,plain,
% 172.48/172.27 (P5(a110,x19711,x19711)),
% 172.48/172.27 inference(rename_variables,[],[579])).
% 172.48/172.27 cnf(1976,plain,
% 172.48/172.27 (P5(a109,x19761,f29(a110,f22(x19761)))),
% 172.48/172.27 inference(rename_variables,[],[606])).
% 172.48/172.27 cnf(1981,plain,
% 172.48/172.27 (P5(a109,x19811,x19811)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(1983,plain,
% 172.48/172.27 (P5(a110,x19831,f27(f29(a110,f22(f29(a110,x19831)))))),
% 172.48/172.27 inference(scs_inference,[],[578,579,580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,1948,606,1965,1976,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084])).
% 172.48/172.27 cnf(1984,plain,
% 172.48/172.27 (P5(a109,x19841,f29(a110,f22(x19841)))),
% 172.48/172.27 inference(rename_variables,[],[606])).
% 172.48/172.27 cnf(1987,plain,
% 172.48/172.27 (E(f5(a110,f13(a110,x19871,x19872),x19872),x19871)),
% 172.48/172.27 inference(rename_variables,[],[640])).
% 172.48/172.27 cnf(1989,plain,
% 172.48/172.27 (~P4(x19891,x19892,f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.27 inference(scs_inference,[],[753,578,579,580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,1948,606,1965,1976,640,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952])).
% 172.48/172.27 cnf(1993,plain,
% 172.48/172.27 (E(f2(f114(x19931,a1)),f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.27 inference(scs_inference,[],[753,578,579,580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,1948,606,1965,1976,640,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833])).
% 172.48/172.27 cnf(1994,plain,
% 172.48/172.27 (~P78(f33(f19(a109,f23(f114(a109,a1)),a113),x19941))),
% 172.48/172.27 inference(rename_variables,[],[753])).
% 172.48/172.27 cnf(1996,plain,
% 172.48/172.27 (E(f19(a109,f23(f114(a109,a1)),a113),f2(f114(x19961,a1)))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,578,579,580,1924,737,387,569,549,594,637,1930,749,1939,601,1921,1945,1948,606,1965,1976,640,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832])).
% 172.48/172.27 cnf(1997,plain,
% 172.48/172.27 (~P78(f33(f19(a109,f23(f114(a109,a1)),a113),x19971))),
% 172.48/172.27 inference(rename_variables,[],[753])).
% 172.48/172.27 cnf(1999,plain,
% 172.48/172.27 (P4(x19991,x19992,f31(x19991,x19993,f31(x19991,x19992,x19994)))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,578,579,580,1924,737,387,569,549,594,637,1930,749,1939,644,601,1921,1945,1948,606,1965,1976,640,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425])).
% 172.48/172.27 cnf(2000,plain,
% 172.48/172.27 (P5(f114(x20001,a1),x20002,f31(x20001,x20003,x20002))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2002,plain,
% 172.48/172.27 (~P5(f114(x20021,a1),f31(x20021,x20022,x20023),f2(f114(x20021,a1)))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,578,579,580,1924,737,387,569,549,594,637,1930,749,1939,644,601,1921,1945,1948,606,1965,1976,640,743,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162])).
% 172.48/172.27 cnf(2004,plain,
% 172.48/172.27 (P4(x20041,f62(f31(x20041,x20042,x20043),x20041),f31(x20041,x20042,x20043))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,578,579,580,1924,737,387,569,549,594,637,1930,749,1939,644,601,1921,1945,1948,606,1965,1976,640,743,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937])).
% 172.48/172.27 cnf(2008,plain,
% 172.48/172.27 (~P6(a110,x20081,f5(a110,f13(a110,x20081,x20082),x20082))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,578,579,580,1924,737,1936,387,569,549,594,637,1930,749,1939,644,601,1921,1945,1948,606,1965,1976,640,743,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533])).
% 172.48/172.27 cnf(2009,plain,
% 172.48/172.27 (~P6(a110,x20091,x20091)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2011,plain,
% 172.48/172.27 (~P6(a110,f13(a110,f5(a110,x20111,x20112),x20112),x20111)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,578,579,580,1924,737,1936,2009,387,569,549,594,637,1930,749,1939,644,601,1921,1945,1948,606,1965,1976,640,743,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531])).
% 172.48/172.27 cnf(2012,plain,
% 172.48/172.27 (~P6(a110,x20121,x20121)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2015,plain,
% 172.48/172.27 (P5(f114(x20151,a1),x20152,f31(x20151,x20153,x20152))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2023,plain,
% 172.48/172.27 (P5(f114(x20231,a1),x20232,f23(f114(x20233,a1)))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,578,579,580,1924,737,1936,2009,387,569,549,594,637,1930,749,1939,644,2000,2015,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655])).
% 172.48/172.27 cnf(2025,plain,
% 172.48/172.27 (P5(f114(x20251,a1),f19(a109,f23(f114(a109,a1)),a113),x20252)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,579,580,1924,737,1936,2009,387,569,549,594,637,1930,749,1939,644,2000,2015,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358])).
% 172.48/172.27 cnf(2028,plain,
% 172.48/172.27 (P5(f114(x20281,a1),x20282,f31(x20281,x20283,x20282))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2031,plain,
% 172.48/172.27 (P5(f114(x20311,a1),x20312,f31(x20311,x20313,x20312))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2035,plain,
% 172.48/172.27 (E(f5(f114(x20351,a1),x20352,f5(f114(x20351,a1),x20353,x20352)),x20352)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,579,580,1924,737,1936,2009,387,569,549,594,637,1930,749,1939,644,2000,2015,2028,2031,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205])).
% 172.48/172.27 cnf(2037,plain,
% 172.48/172.27 (P5(f114(x20371,a1),f5(f114(x20371,a1),f16(f114(x20371,a1),x20372,x20373),x20372),x20373)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,579,580,1924,737,1936,2009,387,569,549,594,600,637,1930,749,1939,644,2000,2015,2028,2031,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765])).
% 172.48/172.27 cnf(2038,plain,
% 172.48/172.27 (P5(f114(x20381,a1),x20382,x20382)),
% 172.48/172.27 inference(rename_variables,[],[600])).
% 172.48/172.27 cnf(2041,plain,
% 172.48/172.27 (P5(f114(x20411,a1),x20412,x20412)),
% 172.48/172.27 inference(rename_variables,[],[600])).
% 172.48/172.27 cnf(2043,plain,
% 172.48/172.27 (P8(x20431,x20432,x20433,f2(a110),f2(f114(x20431,a1)),f3(a110))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,579,580,1924,737,1936,2009,387,569,549,594,600,2038,637,1930,749,1939,733,644,2000,2015,2028,2031,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306])).
% 172.48/172.27 cnf(2044,plain,
% 172.48/172.27 (P8(x20441,x20442,x20443,f2(a110),f19(a109,f23(f114(a109,a1)),a113),f2(a110))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,579,580,1924,737,1936,2009,387,569,549,594,600,2038,637,1930,749,1939,733,644,2000,2015,2028,2031,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305])).
% 172.48/172.27 cnf(2048,plain,
% 172.48/172.27 (P5(a109,x20481,x20481)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2049,plain,
% 172.48/172.27 (P5(a109,f3(a110),f2(a110))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,387,569,549,594,600,2038,637,1930,749,1939,733,644,2000,2015,2028,2031,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291])).
% 172.48/172.27 cnf(2050,plain,
% 172.48/172.27 (P5(a109,x20501,x20501)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2052,plain,
% 172.48/172.27 (P6(a109,x20521,f13(a109,f29(a110,f27(x20521)),f4(a109)))),
% 172.48/172.27 inference(rename_variables,[],[661])).
% 172.48/172.27 cnf(2054,plain,
% 172.48/172.27 (~E(a111,a110)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,387,741,569,549,594,600,2038,637,1930,749,1939,733,644,2000,2015,2028,2031,742,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,1968,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286])).
% 172.48/172.27 cnf(2055,plain,
% 172.48/172.27 (~P6(a110,x20551,f3(a110))),
% 172.48/172.27 inference(rename_variables,[],[741])).
% 172.48/172.27 cnf(2057,plain,
% 172.48/172.27 (~P4(x20571,x20572,f2(f114(x20571,a1)))),
% 172.48/172.27 inference(rename_variables,[],[747])).
% 172.48/172.27 cnf(2059,plain,
% 172.48/172.27 (P4(x20591,x20592,f31(x20591,x20592,x20593))),
% 172.48/172.27 inference(rename_variables,[],[643])).
% 172.48/172.27 cnf(2060,plain,
% 172.48/172.27 (P4(f3(a110),x20601,f31(f2(a110),x20601,x20602))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,387,574,741,569,549,594,643,2059,600,2038,637,1930,749,1939,733,644,2000,2015,2028,2031,747,742,601,1921,1945,1948,606,1965,1976,640,656,743,625,661,1957,1968,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281])).
% 172.48/172.27 cnf(2061,plain,
% 172.48/172.27 (P4(x20611,x20612,f31(x20611,x20612,x20613))),
% 172.48/172.27 inference(rename_variables,[],[643])).
% 172.48/172.27 cnf(2063,plain,
% 172.48/172.27 (E(f22(f29(a110,x20631)),x20631)),
% 172.48/172.27 inference(rename_variables,[],[572])).
% 172.48/172.27 cnf(2064,plain,
% 172.48/172.27 (~P78(f33(f19(a109,f23(f114(a109,a1)),a113),x20641))),
% 172.48/172.27 inference(rename_variables,[],[753])).
% 172.48/172.27 cnf(2070,plain,
% 172.48/172.27 (E(f14(f114(x20701,a1),x20702,x20702),x20702)),
% 172.48/172.27 inference(rename_variables,[],[601])).
% 172.48/172.27 cnf(2071,plain,
% 172.48/172.27 (~P11(a109,f2(f114(a109,a1)),x20711,x20712)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,574,741,569,549,594,643,2059,600,2038,637,1930,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639])).
% 172.48/172.27 cnf(2073,plain,
% 172.48/172.27 (~P6(a109,f13(a109,f29(a110,f27(x20731)),f4(a109)),x20731)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,394,574,741,569,549,594,643,2059,600,2038,637,1930,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095])).
% 172.48/172.27 cnf(2075,plain,
% 172.48/172.27 (~P5(a109,f13(a109,f29(a110,f27(x20751)),f4(a109)),x20751)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,391,394,574,741,569,549,594,643,2059,600,2038,637,1930,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094])).
% 172.48/172.27 cnf(2079,plain,
% 172.48/172.27 (~P5(a110,f22(f13(a109,f29(a110,x20791),f4(a109))),x20791)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,391,392,394,574,741,569,549,594,643,2059,600,2038,637,1930,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090])).
% 172.48/172.27 cnf(2081,plain,
% 172.48/172.27 (~P6(a111,f4(a111),f3(a111))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,741,569,549,594,643,2059,600,2038,637,1930,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089])).
% 172.48/172.27 cnf(2083,plain,
% 172.48/172.27 (~P5(a111,f4(a111),f3(a111))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,741,569,549,594,596,735,643,2059,600,2038,637,1930,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075])).
% 172.48/172.27 cnf(2086,plain,
% 172.48/172.27 (P5(a110,f5(a110,x20861,x20862),x20861)),
% 172.48/172.27 inference(rename_variables,[],[639])).
% 172.48/172.27 cnf(2087,plain,
% 172.48/172.27 (P5(a110,f3(a110),x20871)),
% 172.48/172.27 inference(rename_variables,[],[587])).
% 172.48/172.27 cnf(2090,plain,
% 172.48/172.27 (P5(a110,f3(a110),x20901)),
% 172.48/172.27 inference(rename_variables,[],[587])).
% 172.48/172.27 cnf(2092,plain,
% 172.48/172.27 (P5(a109,x20921,f13(a109,f29(a110,f27(x20921)),f4(a109)))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,587,2087,741,569,549,594,596,735,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959])).
% 172.48/172.27 cnf(2094,plain,
% 172.48/172.27 (~P6(a109,f2(a110),f3(a110))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,587,2087,741,569,549,594,596,735,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911])).
% 172.48/172.27 cnf(2096,plain,
% 172.48/172.27 (~P6(a109,f22(f3(a109)),f3(a110))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910])).
% 172.48/172.27 cnf(2098,plain,
% 172.48/172.27 (~E(f13(a109,f29(a110,f27(x20981)),f4(a109)),x20981)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802])).
% 172.48/172.27 cnf(2100,plain,
% 172.48/172.27 (~E(f22(f13(a109,f29(a110,x21001),f4(a109))),x21001)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800])).
% 172.48/172.27 cnf(2103,plain,
% 172.48/172.27 (P5(f114(x21031,a1),x21032,f31(x21031,x21033,x21032))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2105,plain,
% 172.48/172.27 (E(f23(f114(x21051,a1)),f31(x21051,x21052,f23(f114(x21051,a1))))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,578,1981,2048,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215])).
% 172.48/172.27 cnf(2106,plain,
% 172.48/172.27 (P5(f114(x21061,a1),x21062,f31(x21061,x21063,x21062))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2110,plain,
% 172.48/172.27 (P5(f114(x21101,a1),x21102,f31(x21101,x21103,x21102))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2111,plain,
% 172.48/172.27 (~E(f2(f114(x21111,a1)),f31(x21111,x21112,x21113))),
% 172.48/172.27 inference(rename_variables,[],[744])).
% 172.48/172.27 cnf(2117,plain,
% 172.48/172.27 (P5(a109,x21171,f16(a109,x21171,x21172))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,407,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345])).
% 172.48/172.27 cnf(2118,plain,
% 172.48/172.27 (P5(a109,x21181,x21181)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2120,plain,
% 172.48/172.27 (P5(a109,x21201,f16(a109,x21202,x21201))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,407,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343])).
% 172.48/172.27 cnf(2121,plain,
% 172.48/172.27 (P5(a109,x21211,x21211)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2123,plain,
% 172.48/172.27 (P5(a109,f14(a109,x21231,x21232),x21231)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,407,411,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339])).
% 172.48/172.27 cnf(2124,plain,
% 172.48/172.27 (P5(a109,x21241,x21241)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2126,plain,
% 172.48/172.27 (P5(a109,f14(a109,x21261,x21262),x21262)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,579,580,1924,737,1936,2009,382,387,389,390,391,392,394,407,411,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337])).
% 172.48/172.27 cnf(2127,plain,
% 172.48/172.27 (P5(a109,x21271,x21271)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2131,plain,
% 172.48/172.27 (~P6(a110,x21311,f14(a110,x21311,x21312))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,579,580,1924,737,1936,2009,2012,382,387,389,390,391,392,394,407,411,413,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238])).
% 172.48/172.27 cnf(2132,plain,
% 172.48/172.27 (~P6(a110,x21321,x21321)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2135,plain,
% 172.48/172.27 (~P6(a110,x21351,x21351)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2137,plain,
% 172.48/172.27 (~P5(a109,f13(a109,f29(a110,f27(f16(a109,x21371,x21372))),f4(a109)),x21371)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,579,580,1924,737,1936,2009,2012,2132,382,387,389,390,391,392,394,407,411,413,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236])).
% 172.48/172.27 cnf(2139,plain,
% 172.48/172.27 (~P5(a109,f13(a109,f29(a110,f27(f16(a109,x21391,x21392))),f4(a109)),x21392)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,579,580,1924,737,1936,2009,2012,2132,382,387,389,390,391,392,394,407,411,413,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235])).
% 172.48/172.27 cnf(2142,plain,
% 172.48/172.27 (~P6(a110,x21421,x21421)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2145,plain,
% 172.48/172.27 (~P6(a110,x21451,x21451)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2147,plain,
% 172.48/172.27 (~P3(a109)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,579,580,1924,737,1936,2009,2012,2132,2135,2142,382,387,389,390,391,392,394,407,409,411,413,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079])).
% 172.48/172.27 cnf(2148,plain,
% 172.48/172.27 (P4(x21481,x21482,f23(f114(x21481,a1)))),
% 172.48/172.27 inference(rename_variables,[],[615])).
% 172.48/172.27 cnf(2150,plain,
% 172.48/172.27 (~P6(a109,f3(a109),f29(a110,f27(f3(a109))))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,579,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,387,389,390,391,392,394,407,409,411,413,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267])).
% 172.48/172.27 cnf(2151,plain,
% 172.48/172.27 (P5(a109,x21511,x21511)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2152,plain,
% 172.48/172.27 (~P6(a110,x21521,x21521)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2154,plain,
% 172.48/172.27 (P5(a109,f29(a110,f27(f3(a109))),f3(a109))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,387,389,390,391,392,394,407,409,411,413,574,587,2087,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243])).
% 172.48/172.27 cnf(2155,plain,
% 172.48/172.27 (P5(a109,x21551,x21551)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2156,plain,
% 172.48/172.27 (P5(a110,x21561,x21561)),
% 172.48/172.27 inference(rename_variables,[],[579])).
% 172.48/172.27 cnf(2162,plain,
% 172.48/172.27 (P12(a110,f3(a110),x21621)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,574,587,2087,2090,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335])).
% 172.48/172.27 cnf(2163,plain,
% 172.48/172.27 (P5(a110,f3(a110),x21631)),
% 172.48/172.27 inference(rename_variables,[],[587])).
% 172.48/172.27 cnf(2165,plain,
% 172.48/172.27 (P6(a110,x21651,f13(a110,x21651,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,574,587,2087,2090,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319])).
% 172.48/172.27 cnf(2166,plain,
% 172.48/172.27 (E(f13(a110,f3(a110),x21661),x21661)),
% 172.48/172.27 inference(rename_variables,[],[591])).
% 172.48/172.27 cnf(2168,plain,
% 172.48/172.27 (P13(a109,f14(f114(x21681,a1),f2(f114(a109,a1)),f2(f114(a109,a1))),x21682)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,574,587,2087,2090,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159])).
% 172.48/172.27 cnf(2170,plain,
% 172.48/172.27 (~P5(f114(x21701,a1),a113,f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,574,587,2087,2090,741,569,549,594,596,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124])).
% 172.48/172.27 cnf(2173,plain,
% 172.48/172.27 (P5(a110,f3(a110),x21731)),
% 172.48/172.27 inference(rename_variables,[],[587])).
% 172.48/172.27 cnf(2175,plain,
% 172.48/172.27 (~E(f13(a109,x21751,f4(a109)),x21751)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,534,574,587,2087,2090,2163,741,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917])).
% 172.48/172.27 cnf(2177,plain,
% 172.48/172.27 (P6(a110,x21771,f27(f29(a110,f13(a110,x21771,f4(a110)))))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,477,534,574,587,2087,2090,2163,741,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673])).
% 172.48/172.27 cnf(2179,plain,
% 172.48/172.27 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x21791,f4(a109))))),x21791)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456])).
% 172.48/172.27 cnf(2181,plain,
% 172.48/172.27 (P6(f114(x21811,a1),f2(f114(x21811,a1)),f31(x21811,x21812,f31(x21811,x21813,f2(f114(x21811,a1)))))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361])).
% 172.48/172.27 cnf(2182,plain,
% 172.48/172.27 (P5(f114(x21821,a1),x21822,f31(x21821,x21823,x21822))),
% 172.48/172.27 inference(rename_variables,[],[644])).
% 172.48/172.27 cnf(2184,plain,
% 172.48/172.27 (P6(f114(x21841,a1),f5(f114(x21841,a1),f2(f114(x21841,a1)),x21842),f31(x21841,x21843,f2(f114(x21841,a1))))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,384,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,658,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360])).
% 172.48/172.27 cnf(2187,plain,
% 172.48/172.27 (~P5(f114(x21871,a1),f31(x21871,x21872,f2(f114(x21871,a1))),f5(f114(x21871,a1),f2(f114(x21871,a1)),x21873))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,658,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249])).
% 172.48/172.27 cnf(2189,plain,
% 172.48/172.27 (~P33(a110)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,2055,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,572,606,1965,1976,640,591,656,658,618,743,744,625,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247])).
% 172.48/172.27 cnf(2190,plain,
% 172.48/172.27 (~P6(a110,x21901,f3(a110))),
% 172.48/172.27 inference(rename_variables,[],[741])).
% 172.48/172.27 cnf(2194,plain,
% 172.48/172.27 (P7(x21941,x21942,f25(x21943,x21944,x21945),x21944,f14(f114(x21946,a1),f2(f114(x21941,a1)),f2(f114(x21941,a1))),f33(f33(f25(x21943,x21944,x21945),x21947),f3(a110)))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,2055,569,549,594,596,734,735,550,643,2059,600,2038,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890])).
% 172.48/172.27 cnf(2195,plain,
% 172.48/172.27 (E(f14(f114(x21951,a1),x21952,x21952),x21952)),
% 172.48/172.27 inference(rename_variables,[],[601])).
% 172.48/172.27 cnf(2205,plain,
% 172.48/172.27 (P4(x22051,f78(f19(a109,f23(f114(a109,a1)),a113),f31(x22051,a115,x22052),x22053,x22051),f16(f114(x22051,a1),x22053,f31(x22051,a115,x22052)))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804])).
% 172.48/172.27 cnf(2207,plain,
% 172.48/172.27 (P4(x22071,f78(f19(a109,f23(f114(a109,a1)),a113),x22072,f31(x22071,a115,x22073),x22071),f16(f114(x22071,a1),f31(x22071,a115,x22073),x22072))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803])).
% 172.48/172.27 cnf(2209,plain,
% 172.48/172.27 (~E(f5(a110,f13(a109,f13(a110,x22091,f3(a110)),f4(a109)),f3(a110)),x22091)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,407,409,411,413,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154])).
% 172.48/172.27 cnf(2210,plain,
% 172.48/172.27 (P5(a110,f3(a110),x22101)),
% 172.48/172.27 inference(rename_variables,[],[587])).
% 172.48/172.27 cnf(2212,plain,
% 172.48/172.27 (~E(f16(a1,f5(a110,f13(a109,f13(a110,f2(a1),f3(a110)),f4(a109)),f3(a110)),x22121),f2(a1))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,407,409,411,413,415,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929])).
% 172.48/172.27 cnf(2219,plain,
% 172.48/172.27 (~P6(a109,f3(a109),f13(a109,f29(a110,f27(f3(a109))),f29(a110,f27(f3(a109)))))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,407,409,411,413,415,466,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391])).
% 172.48/172.27 cnf(2221,plain,
% 172.48/172.27 (~P5(a111,f13(a111,f4(a111),f4(a111)),f3(a111))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390])).
% 172.48/172.27 cnf(2223,plain,
% 172.48/172.27 (~P6(a109,f13(a109,f29(a110,x22231),f29(a110,x22231)),f3(a109))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,591,656,658,618,743,744,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389])).
% 172.48/172.27 cnf(2228,plain,
% 172.48/172.27 (E(f5(a110,f13(a110,x22281,x22282),x22282),x22281)),
% 172.48/172.27 inference(rename_variables,[],[640])).
% 172.48/172.27 cnf(2234,plain,
% 172.48/172.27 (P4(x22341,x22342,f31(x22341,x22342,x22343))),
% 172.48/172.27 inference(rename_variables,[],[643])).
% 172.48/172.27 cnf(2236,plain,
% 172.48/172.27 (~P5(a109,f47(a115,a113,a109),a115)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792])).
% 172.48/172.27 cnf(2238,plain,
% 172.48/172.27 (P4(a109,f47(a115,a113,a109),a113)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770])).
% 172.48/172.27 cnf(2240,plain,
% 172.48/172.27 (~P78(f33(f2(f114(x22401,a1)),x22402))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591])).
% 172.48/172.27 cnf(2242,plain,
% 172.48/172.27 (E(f13(a110,x22421,f98(x22421,x22421,f14(f114(x22422,a1),f2(f114(x22423,a1)),f2(f114(x22423,a1))))),x22421)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644])).
% 172.48/172.27 cnf(2244,plain,
% 172.48/172.27 (E(f13(a110,x22441,f97(x22441,x22441,f14(f114(x22442,a1),f2(f114(x22443,a1)),f2(f114(x22443,a1))))),x22441)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643])).
% 172.48/172.27 cnf(2246,plain,
% 172.48/172.27 (~P6(a110,f13(a110,f33(f33(f12(a110),f5(a110,x22461,x22461)),x22462),f13(a110,f13(a110,f33(f33(f12(a110),x22461),x22462),x22463),x22464)),x22463)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,2156,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877])).
% 172.48/172.27 cnf(2248,plain,
% 172.48/172.27 (~P6(a110,x22481,f13(a110,f33(f33(f12(a110),f5(a110,x22482,x22482)),x22483),x22481))),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,2156,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875])).
% 172.48/172.27 cnf(2249,plain,
% 172.48/172.27 (~P6(a110,x22491,x22491)),
% 172.48/172.27 inference(rename_variables,[],[737])).
% 172.48/172.27 cnf(2251,plain,
% 172.48/172.27 (P5(a110,f13(a110,f33(f33(f12(a110),f5(a110,f3(a110),f3(a110))),x22511),x22512),x22512)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,579,1971,2156,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867])).
% 172.48/172.27 cnf(2252,plain,
% 172.48/172.27 (P5(a110,x22521,x22521)),
% 172.48/172.27 inference(rename_variables,[],[579])).
% 172.48/172.27 cnf(2253,plain,
% 172.48/172.27 (P5(a110,f3(a110),x22531)),
% 172.48/172.27 inference(rename_variables,[],[587])).
% 172.48/172.27 cnf(2258,plain,
% 172.48/172.27 (E(f13(a110,x22581,x22582),f13(a110,x22582,x22581))),
% 172.48/172.27 inference(rename_variables,[],[612])).
% 172.48/172.27 cnf(2261,plain,
% 172.48/172.27 (E(f13(a110,x22611,x22612),f13(a110,x22612,x22611))),
% 172.48/172.27 inference(rename_variables,[],[612])).
% 172.48/172.27 cnf(2263,plain,
% 172.48/172.27 (P5(f114(x22631,a109),x22632,x22632)),
% 172.48/172.27 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885])).
% 172.48/172.27 cnf(2264,plain,
% 172.48/172.27 (P5(a109,x22641,x22641)),
% 172.48/172.27 inference(rename_variables,[],[578])).
% 172.48/172.27 cnf(2266,plain,
% 172.48/172.27 (E(f14(f114(x22661,a1),x22662,f5(f114(x22661,a1),x22663,f6(f114(x22661,a1),f31(f114(x22661,a1),x22662,x22664)))),f2(f114(x22661,a1)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685])).
% 172.48/172.28 cnf(2267,plain,
% 172.48/172.28 (E(f14(f114(x22671,a1),x22672,f5(f114(x22671,a1),x22673,x22672)),f2(f114(x22671,a1)))),
% 172.48/172.28 inference(rename_variables,[],[662])).
% 172.48/172.28 cnf(2268,plain,
% 172.48/172.28 (P4(x22681,x22682,f31(x22681,x22682,x22683))),
% 172.48/172.28 inference(rename_variables,[],[643])).
% 172.48/172.28 cnf(2271,plain,
% 172.48/172.28 (P5(f114(x22711,a1),x22712,x22712)),
% 172.48/172.28 inference(rename_variables,[],[600])).
% 172.48/172.28 cnf(2273,plain,
% 172.48/172.28 (~P5(a109,f13(a109,f33(f33(f12(a109),x22731),x22732),f13(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x22733,x22731)),x22732),f4(a109))))),f4(a109))),f13(a109,f33(f33(f12(a109),x22733),x22732),f4(a109)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869])).
% 172.48/172.28 cnf(2277,plain,
% 172.48/172.28 (~P12(a109,f47(a115,a113,a109),a113)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176])).
% 172.48/172.28 cnf(2279,plain,
% 172.48/172.28 (~P10(a109,a113,f47(a115,a113,a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174])).
% 172.48/172.28 cnf(2281,plain,
% 172.48/172.28 (P5(a110,x22811,f13(a110,x22812,f13(a110,f13(a110,f33(f33(f12(a110),x22813),x22814),x22811),x22815)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,396,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,1933,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173])).
% 172.48/172.28 cnf(2282,plain,
% 172.48/172.28 (P5(a110,x22821,f13(a110,x22822,x22821))),
% 172.48/172.28 inference(rename_variables,[],[637])).
% 172.48/172.28 cnf(2284,plain,
% 172.48/172.28 (~P13(a109,f23(f114(a109,a1)),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x22841,x22842)),x22843),f4(a109))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,396,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,1933,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172])).
% 172.48/172.28 cnf(2288,plain,
% 172.48/172.28 (P6(a111,f3(a111),f13(a111,f4(a111),f4(a111)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,1933,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165])).
% 172.48/172.28 cnf(2290,plain,
% 172.48/172.28 (E(x22901,f13(a110,f3(a110),x22901))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,1933,2282,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106])).
% 172.48/172.28 cnf(2291,plain,
% 172.48/172.28 (P5(a110,x22911,f13(a110,x22912,x22911))),
% 172.48/172.28 inference(rename_variables,[],[637])).
% 172.48/172.28 cnf(2295,plain,
% 172.48/172.28 (P5(a109,f22(f3(a109)),f3(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,600,2038,2041,637,1930,1933,2282,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967])).
% 172.48/172.28 cnf(2297,plain,
% 172.48/172.28 (~P4(x22971,f3(a110),f5(f114(x22971,a1),x22972,f31(x22971,f2(a110),x22973)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,642,625,663,661,1957,1968,2052,647,662,2267,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405])).
% 172.48/172.28 cnf(2299,plain,
% 172.48/172.28 (P4(x22991,x22992,f31(x22991,x22992,x22993))),
% 172.48/172.28 inference(rename_variables,[],[643])).
% 172.48/172.28 cnf(2301,plain,
% 172.48/172.28 (~P24(f114(x23011,a1))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,466,467,477,479,502,534,574,587,2087,2090,2163,2173,2210,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,591,656,658,618,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112])).
% 172.48/172.28 cnf(2307,plain,
% 172.48/172.28 (E(f5(a110,f13(a110,x23071,x23072),x23072),x23071)),
% 172.48/172.28 inference(rename_variables,[],[640])).
% 172.48/172.28 cnf(2308,plain,
% 172.48/172.28 (P5(a110,f3(a110),x23081)),
% 172.48/172.28 inference(rename_variables,[],[587])).
% 172.48/172.28 cnf(2309,plain,
% 172.48/172.28 (P5(a110,x23091,x23091)),
% 172.48/172.28 inference(rename_variables,[],[579])).
% 172.48/172.28 cnf(2311,plain,
% 172.48/172.28 (~P5(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),x23111),x23111)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,466,467,477,479,502,507,534,574,587,2087,2090,2163,2173,2210,2253,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432])).
% 172.48/172.28 cnf(2312,plain,
% 172.48/172.28 (~P6(a110,x23121,x23121)),
% 172.48/172.28 inference(rename_variables,[],[737])).
% 172.48/172.28 cnf(2314,plain,
% 172.48/172.28 (~P6(a110,f13(a110,x23141,f13(a110,x23142,f13(a110,f3(a110),x23143))),x23143)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,466,467,477,479,502,507,534,574,587,2087,2090,2163,2173,2210,2253,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431])).
% 172.48/172.28 cnf(2315,plain,
% 172.48/172.28 (P5(a110,x23151,x23151)),
% 172.48/172.28 inference(rename_variables,[],[579])).
% 172.48/172.28 cnf(2320,plain,
% 172.48/172.28 (P5(a109,x23201,x23201)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2323,plain,
% 172.48/172.28 (P5(a110,f3(a110),x23231)),
% 172.48/172.28 inference(rename_variables,[],[587])).
% 172.48/172.28 cnf(2325,plain,
% 172.48/172.28 (~P5(a110,f13(a110,x23251,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x23251)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,534,574,587,2087,2090,2163,2173,2210,2253,2308,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613])).
% 172.48/172.28 cnf(2326,plain,
% 172.48/172.28 (~P6(a110,f13(a110,x23261,x23262),x23261)),
% 172.48/172.28 inference(rename_variables,[],[750])).
% 172.48/172.28 cnf(2328,plain,
% 172.48/172.28 (~P6(a110,f5(a110,f13(a110,x23281,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f3(a110)),x23281)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,534,574,587,2087,2090,2163,2173,2210,2253,2308,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612])).
% 172.48/172.28 cnf(2333,plain,
% 172.48/172.28 (~P4(x23331,x23332,f2(f114(x23331,a1)))),
% 172.48/172.28 inference(rename_variables,[],[747])).
% 172.48/172.28 cnf(2335,plain,
% 172.48/172.28 (P9(f2(a110),x23351,f31(f2(a110),f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1)))),f2(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,574,587,2087,2090,2163,2173,2210,2253,2308,741,2055,569,549,594,596,734,735,550,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,2333,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896])).
% 172.48/172.28 cnf(2337,plain,
% 172.48/172.28 (~P4(x23371,x23372,f2(f114(x23371,a1)))),
% 172.48/172.28 inference(rename_variables,[],[747])).
% 172.48/172.28 cnf(2340,plain,
% 172.48/172.28 (E(f13(a109,f29(a110,f3(a110)),f29(a110,f3(a110))),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,538,574,587,2087,2090,2163,2173,2210,2253,2308,741,2055,569,549,594,596,734,735,550,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076])).
% 172.48/172.28 cnf(2341,plain,
% 172.48/172.28 (P4(a109,f29(a110,x23411),f15(a109))),
% 172.48/172.28 inference(rename_variables,[],[605])).
% 172.48/172.28 cnf(2344,plain,
% 172.48/172.28 (E(f13(a110,x23441,x23442),f13(a110,x23442,x23441))),
% 172.48/172.28 inference(rename_variables,[],[612])).
% 172.48/172.28 cnf(2347,plain,
% 172.48/172.28 (P5(a110,f3(a110),x23471)),
% 172.48/172.28 inference(rename_variables,[],[587])).
% 172.48/172.28 cnf(2355,plain,
% 172.48/172.28 (P5(a111,f3(a111),f13(a111,f4(a111),f4(a111)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935])).
% 172.48/172.28 cnf(2361,plain,
% 172.48/172.28 (P5(a1,x23611,x23611)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790])).
% 172.48/172.28 cnf(2365,plain,
% 172.48/172.28 (P5(a109,f22(f4(a109)),f4(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780])).
% 172.48/172.28 cnf(2367,plain,
% 172.48/172.28 (~P6(f114(x23671,a1),f2(a110),f3(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972])).
% 172.48/172.28 cnf(2369,plain,
% 172.48/172.28 (P5(f114(x23691,a1),f2(a110),f3(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874])).
% 172.48/172.28 cnf(2373,plain,
% 172.48/172.28 (~P8(x23731,x23732,x23733,f4(a109),f2(f114(x23731,a1)),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894])).
% 172.48/172.28 cnf(2375,plain,
% 172.48/172.28 (~P9(x23751,x23752,f31(x23751,f4(a109),f2(f114(x23751,a1))),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794])).
% 172.48/172.28 cnf(2377,plain,
% 172.48/172.28 (P9(x23771,x23772,f31(x23771,f2(a110),f2(f114(x23771,a1))),f3(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656])).
% 172.48/172.28 cnf(2379,plain,
% 172.48/172.28 (~P4(x23791,f4(a109),f31(x23791,f3(a109),f2(f114(x23791,a1))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567])).
% 172.48/172.28 cnf(2381,plain,
% 172.48/172.28 (~P6(a111,f4(a111),f13(a111,f3(a111),f4(a111)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325])).
% 172.48/172.28 cnf(2385,plain,
% 172.48/172.28 (P5(a111,f13(a111,f3(a111),f4(a111)),f4(a111))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220])).
% 172.48/172.28 cnf(2389,plain,
% 172.48/172.28 (P6(a111,f4(a111),f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,407,409,411,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,639,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217])).
% 172.48/172.28 cnf(2399,plain,
% 172.48/172.28 (P5(a110,f14(a110,x23991,x23992),x23991)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,404,407,409,411,412,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065])).
% 172.48/172.28 cnf(2413,plain,
% 172.48/172.28 (P6(a111,f2(a110),f13(a111,f3(a110),f4(a111)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,404,407,408,409,411,412,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055])).
% 172.48/172.28 cnf(2419,plain,
% 172.48/172.28 (P5(a1,f2(a1),x24191)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,404,407,408,409,411,412,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811])).
% 172.48/172.28 cnf(2421,plain,
% 172.48/172.28 (P5(a1,x24211,f23(a1))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,404,407,408,409,411,412,413,415,445,466,467,477,479,492,502,507,526,534,535,538,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810])).
% 172.48/172.28 cnf(2439,plain,
% 172.48/172.28 (P21(f114(x24391,a1))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768])).
% 172.48/172.28 cnf(2441,plain,
% 172.48/172.28 (P47(f114(x24411,a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767])).
% 172.48/172.28 cnf(2443,plain,
% 172.48/172.28 (P46(f114(x24431,a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766])).
% 172.48/172.28 cnf(2445,plain,
% 172.48/172.28 (P20(f114(x24451,a1))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765])).
% 172.48/172.28 cnf(2451,plain,
% 172.48/172.28 (P49(f114(x24511,a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762])).
% 172.48/172.28 cnf(2455,plain,
% 172.48/172.28 (P3(f114(x24551,a1))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760])).
% 172.48/172.28 cnf(2457,plain,
% 172.48/172.28 (P2(f114(x24571,a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759])).
% 172.48/172.28 cnf(2461,plain,
% 172.48/172.28 (P5(a109,f29(a110,f5(a110,f96(f3(a109)),f4(a110))),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550])).
% 172.48/172.28 cnf(2462,plain,
% 172.48/172.28 (P5(a109,x24621,x24621)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2465,plain,
% 172.48/172.28 (P5(a109,x24651,x24651)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2467,plain,
% 172.48/172.28 (P5(a109,f29(a110,f27(f29(a110,x24671))),f29(a110,x24671))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082])).
% 172.48/172.28 cnf(2469,plain,
% 172.48/172.28 (P6(a109,f3(a109),f29(a110,f96(f3(a109))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081])).
% 172.48/172.28 cnf(2470,plain,
% 172.48/172.28 (P5(a109,x24701,x24701)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2472,plain,
% 172.48/172.28 (P5(a109,f29(a110,f4(a110)),f4(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047])).
% 172.48/172.28 cnf(2475,plain,
% 172.48/172.28 (P5(a109,x24751,x24751)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2477,plain,
% 172.48/172.28 (~P5(a109,f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980])).
% 172.48/172.28 cnf(2479,plain,
% 172.48/172.28 (~P5(a109,f13(a109,f29(a110,f3(a110)),f4(a109)),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903])).
% 172.48/172.28 cnf(2481,plain,
% 172.48/172.28 (~E(f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),x24811),f3(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894])).
% 172.48/172.28 cnf(2483,plain,
% 172.48/172.28 (~E(f13(a110,x24831,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893])).
% 172.48/172.28 cnf(2493,plain,
% 172.48/172.28 (~E(f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757])).
% 172.48/172.28 cnf(2497,plain,
% 172.48/172.28 (~P6(a110,f3(a110),f33(f33(f12(a110),f3(a110)),x24971))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289])).
% 172.48/172.28 cnf(2501,plain,
% 172.48/172.28 (P6(a111,f3(a111),f13(a111,f4(a111),f3(a111)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,1927,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232])).
% 172.48/172.28 cnf(2502,plain,
% 172.48/172.28 (P5(a111,x25021,x25021)),
% 172.48/172.28 inference(rename_variables,[],[580])).
% 172.48/172.28 cnf(2504,plain,
% 172.48/172.28 (P5(a111,f3(a111),f33(f33(f24(a111),f3(a111)),x25041))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180])).
% 172.48/172.28 cnf(2505,plain,
% 172.48/172.28 (P5(a111,x25051,x25051)),
% 172.48/172.28 inference(rename_variables,[],[580])).
% 172.48/172.28 cnf(2509,plain,
% 172.48/172.28 (~P6(a109,f3(a109),f29(a110,f3(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102])).
% 172.48/172.28 cnf(2513,plain,
% 172.48/172.28 (P5(a109,f4(a109),f29(a110,f4(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048])).
% 172.48/172.28 cnf(2518,plain,
% 172.48/172.28 (P5(a109,x25181,x25181)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2520,plain,
% 172.48/172.28 (P5(a109,f3(a109),f28(f4(a109)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043])).
% 172.48/172.28 cnf(2521,plain,
% 172.48/172.28 (P5(a109,x25211,x25211)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2580,plain,
% 172.48/172.28 (E(f25(x25801,x25802,f2(a110)),f25(x25801,x25802,f3(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216])).
% 172.48/172.28 cnf(2581,plain,
% 172.48/172.28 (E(f25(x25811,f2(a110),x25812),f25(x25811,f3(a110),x25812))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215])).
% 172.48/172.28 cnf(2756,plain,
% 172.48/172.28 (E(f112(f2(a110)),f112(f3(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40])).
% 172.48/172.28 cnf(2775,plain,
% 172.48/172.28 (E(f5(x27751,x27752,f2(a110)),f5(x27751,x27752,f3(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21])).
% 172.48/172.28 cnf(2776,plain,
% 172.48/172.28 (E(f5(x27761,f2(a110),x27762),f5(x27761,f3(a110),x27762))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 172.48/172.28 cnf(2779,plain,
% 172.48/172.28 (E(f114(f2(a110),x27791),f114(f3(a110),x27791))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 172.48/172.28 cnf(2797,plain,
% 172.48/172.28 (~P6(a110,f33(f33(f12(a110),x27971),x27972),f33(f33(f12(a110),f3(a110)),x27972))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569])).
% 172.48/172.28 cnf(2801,plain,
% 172.48/172.28 (~P4(a109,a58,f5(f114(a109,a1),x28011,a113))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554])).
% 172.48/172.28 cnf(2803,plain,
% 172.48/172.28 (~P4(x28031,x28032,f14(f114(x28031,a1),f2(f114(x28031,a1)),x28033))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508])).
% 172.48/172.28 cnf(2805,plain,
% 172.48/172.28 (~P4(x28051,x28052,f14(f114(x28051,a1),x28053,f2(f114(x28051,a1))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505])).
% 172.48/172.28 cnf(2807,plain,
% 172.48/172.28 (~P4(x28071,x28072,f5(f114(x28071,a1),f2(f114(x28071,a1)),x28073))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503])).
% 172.48/172.28 cnf(2825,plain,
% 172.48/172.28 (~E(f31(x28251,f4(a109),f2(f114(x28251,a1))),f31(x28251,f3(a109),f2(f114(x28251,a1))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401])).
% 172.48/172.28 cnf(2827,plain,
% 172.48/172.28 (P5(a110,f33(f33(f12(a110),f3(a110)),x28271),f33(f33(f12(a110),x28272),x28271))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353])).
% 172.48/172.28 cnf(2839,plain,
% 172.48/172.28 (P4(a109,a58,f16(f114(a109,a1),a113,x28391))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301])).
% 172.48/172.28 cnf(2841,plain,
% 172.48/172.28 (P4(a109,a58,f16(f114(a109,a1),x28411,a113))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298])).
% 172.48/172.28 cnf(2849,plain,
% 172.48/172.28 (~P6(a109,f33(f33(f12(a109),x28491),x28491),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255])).
% 172.48/172.28 cnf(2853,plain,
% 172.48/172.28 (P78(f33(f31(x28531,f2(a110),x28532),f3(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221])).
% 172.48/172.28 cnf(2859,plain,
% 172.48/172.28 (~P6(f114(a109,a1),f31(a109,x28591,f2(f114(a109,a1))),f5(f114(a109,a1),f2(f114(a109,a1)),x28592))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122])).
% 172.48/172.28 cnf(2863,plain,
% 172.48/172.28 (P6(a109,f29(a110,f3(a110)),f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107])).
% 172.48/172.28 cnf(2865,plain,
% 172.48/172.28 (P6(a109,x28651,f13(a109,x28651,f4(a109)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,444,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101])).
% 172.48/172.28 cnf(2867,plain,
% 172.48/172.28 (P5(a109,f3(a109),f33(f33(f12(a109),x28671),x28671))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,444,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077])).
% 172.48/172.28 cnf(2869,plain,
% 172.48/172.28 (E(f13(a109,f5(a109,x28691,x28692),x28692),x28691)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,429,444,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072])).
% 172.48/172.28 cnf(2871,plain,
% 172.48/172.28 (E(f5(a109,f13(a109,x28711,x28712),x28712),x28711)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,429,444,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071])).
% 172.48/172.28 cnf(2879,plain,
% 172.48/172.28 (~E(f13(a110,x28791,f4(a109)),f13(a110,x28791,f3(a109)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,404,407,408,409,411,412,413,415,416,420,429,444,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057])).
% 172.48/172.28 cnf(2899,plain,
% 172.48/172.28 (~P5(a109,f4(a109),f3(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,407,408,409,411,412,413,415,416,420,429,444,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943])).
% 172.48/172.28 cnf(2907,plain,
% 172.48/172.28 (P5(a109,f3(a109),f4(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,407,408,409,411,412,413,415,416,420,429,444,445,466,467,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849])).
% 172.48/172.28 cnf(2913,plain,
% 172.48/172.28 (P4(a109,f3(a109),f15(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,407,408,409,411,412,413,415,416,420,429,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846])).
% 172.48/172.28 cnf(2917,plain,
% 172.48/172.28 (P6(a109,f3(a109),f4(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,407,408,409,411,412,413,415,416,420,429,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844])).
% 172.48/172.28 cnf(2923,plain,
% 172.48/172.28 (E(f13(a109,f3(a109),x29231),x29231)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,407,408,409,411,412,413,415,416,420,429,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822])).
% 172.48/172.28 cnf(2929,plain,
% 172.48/172.28 (E(f13(a109,x29291,f3(a109)),x29291)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,534,535,538,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817])).
% 172.48/172.28 cnf(2937,plain,
% 172.48/172.28 (E(f33(f33(f24(a109),x29371),f3(a110)),f4(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808])).
% 172.48/172.28 cnf(2949,plain,
% 172.48/172.28 (~E(f4(a110),f3(a110))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755])).
% 172.48/172.28 cnf(2952,plain,
% 172.48/172.28 (P5(a109,x29521,x29521)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2958,plain,
% 172.48/172.28 (P6(a109,x29581,f33(f33(f12(a109),f29(a110,f104(f29(a110,f96(f3(a109))),x29581))),f29(a110,f96(f3(a109)))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713])).
% 172.48/172.28 cnf(2962,plain,
% 172.48/172.28 (~P6(a110,f33(f33(f12(a110),f3(a110)),x29621),f33(f33(f12(a110),f3(a110)),x29622))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575])).
% 172.48/172.28 cnf(2975,plain,
% 172.48/172.28 (P5(a109,x29751,x29751)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2978,plain,
% 172.48/172.28 (P5(a109,x29781,x29781)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2980,plain,
% 172.48/172.28 (P5(a110,f33(f33(f12(a110),f3(a110)),x29801),f33(f33(f12(a110),f3(a110)),x29802))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292])).
% 172.48/172.28 cnf(2987,plain,
% 172.48/172.28 (P5(a109,x29871,x29871)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2990,plain,
% 172.48/172.28 (P5(a109,x29901,x29901)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(2992,plain,
% 172.48/172.28 (P6(a110,f3(a110),f5(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211])).
% 172.48/172.28 cnf(3000,plain,
% 172.48/172.28 (P6(a109,f3(a109),f33(f33(f12(a109),f4(a109)),f4(a109)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024])).
% 172.48/172.28 cnf(3026,plain,
% 172.48/172.28 (E(f13(a110,x30261,f95(x30261,x30261)),x30261)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052])).
% 172.48/172.28 cnf(3028,plain,
% 172.48/172.28 (E(f13(a110,x30281,f81(x30281,x30281)),x30281)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051])).
% 172.48/172.28 cnf(3044,plain,
% 172.48/172.28 (E(f33(f33(f24(a109),f4(a109)),x30441),f4(a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,433,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,534,535,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856])).
% 172.48/172.28 cnf(3072,plain,
% 172.48/172.28 (~P78(f33(f14(f114(x30721,a1),x30722,f19(a109,f23(f114(a109,a1)),a113)),a115))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,433,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734])).
% 172.48/172.28 cnf(3081,plain,
% 172.48/172.28 (P5(a110,x30811,x30811)),
% 172.48/172.28 inference(rename_variables,[],[579])).
% 172.48/172.28 cnf(3083,plain,
% 172.48/172.28 (P5(a110,x30831,f13(a110,f5(a110,x30831,x30832),x30832))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,3081,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,433,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532])).
% 172.48/172.28 cnf(3084,plain,
% 172.48/172.28 (P5(a110,x30841,x30841)),
% 172.48/172.28 inference(rename_variables,[],[579])).
% 172.48/172.28 cnf(3128,plain,
% 172.48/172.28 (~P4(f114(a109,a1),f31(a109,x31281,f2(f114(a109,a1))),f30(a109,f2(f114(a109,a1))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,433,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189])).
% 172.48/172.28 cnf(3144,plain,
% 172.48/172.28 (P6(a109,f3(a109),f13(a109,f4(a109),f4(a109)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,433,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119])).
% 172.48/172.28 cnf(3147,plain,
% 172.48/172.28 (~E(f31(x31471,x31472,x31473),f2(f114(x31471,a1)))),
% 172.48/172.28 inference(rename_variables,[],[743])).
% 172.48/172.28 cnf(3149,plain,
% 172.48/172.28 (~E(f16(f114(x31491,a1),x31492,f31(x31491,x31493,x31494)),f2(f114(x31491,a1)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,433,436,438,444,445,466,467,468,473,474,477,479,492,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114])).
% 172.48/172.28 cnf(3188,plain,
% 172.48/172.28 (P5(a109,x31881,x31881)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(3191,plain,
% 172.48/172.28 (P5(a109,x31911,x31911)),
% 172.48/172.28 inference(rename_variables,[],[578])).
% 172.48/172.28 cnf(3199,plain,
% 172.48/172.28 (~P4(x31991,x31992,f6(f114(x31991,a1),f2(f114(f114(x31991,a1),a1))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,466,467,468,471,473,474,477,479,492,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514])).
% 172.48/172.28 cnf(3209,plain,
% 172.48/172.28 (P4(x32091,x32092,f7(f114(x32091,a1),f6(f114(f114(x32091,a1),a1),f2(f114(f114(f114(x32091,a1),a1),a1)))))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,466,467,468,471,473,474,477,479,492,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327])).
% 172.48/172.28 cnf(3239,plain,
% 172.48/172.28 (~P4(f2(a110),f105(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x32391,f2(a110)),f106(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x32391,f2(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,466,467,468,471,473,474,477,479,492,497,500,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893])).
% 172.48/172.28 cnf(3241,plain,
% 172.48/172.28 (~P4(f2(a110),f101(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x32411,f2(a110)),f102(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x32411,f2(a110)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,466,467,468,471,473,474,477,479,492,497,500,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892])).
% 172.48/172.28 cnf(3247,plain,
% 172.48/172.28 (P28(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,463,466,467,468,471,473,474,477,479,492,497,500,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380])).
% 172.48/172.28 cnf(3248,plain,
% 172.48/172.28 (P27(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,463,466,467,468,471,473,474,477,479,482,492,497,500,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379])).
% 172.48/172.28 cnf(3249,plain,
% 172.48/172.28 (P75(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,463,466,467,468,471,473,474,477,479,482,492,497,500,502,507,520,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378])).
% 172.48/172.28 cnf(3250,plain,
% 172.48/172.28 (P54(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,463,466,467,468,471,473,474,477,479,482,492,497,500,502,507,520,522,526,531,532,533,534,535,537,538,540,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377])).
% 172.48/172.28 cnf(3251,plain,
% 172.48/172.28 (P74(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,463,466,467,468,471,473,474,477,479,482,492,497,500,502,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374])).
% 172.48/172.28 cnf(3252,plain,
% 172.48/172.28 (P64(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,457,463,466,467,468,471,473,474,477,479,482,492,497,500,502,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373])).
% 172.48/172.28 cnf(3253,plain,
% 172.48/172.28 (P30(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,457,463,466,467,468,471,473,474,477,479,482,488,492,497,500,502,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372])).
% 172.48/172.28 cnf(3254,plain,
% 172.48/172.28 (P61(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,457,463,466,467,468,471,473,474,477,479,482,488,492,497,500,502,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371])).
% 172.48/172.28 cnf(3255,plain,
% 172.48/172.28 (P65(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,457,463,466,467,468,471,473,474,477,479,482,488,492,497,500,502,504,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370])).
% 172.48/172.28 cnf(3256,plain,
% 172.48/172.28 (P35(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,457,460,463,466,467,468,471,473,474,477,479,482,488,492,497,500,502,504,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369])).
% 172.48/172.28 cnf(3257,plain,
% 172.48/172.28 (P40(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366])).
% 172.48/172.28 cnf(3258,plain,
% 172.48/172.28 (P70(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365])).
% 172.48/172.28 cnf(3259,plain,
% 172.48/172.28 (P67(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364])).
% 172.48/172.28 cnf(3260,plain,
% 172.48/172.28 (P62(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363])).
% 172.48/172.28 cnf(3261,plain,
% 172.48/172.28 (P39(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362])).
% 172.48/172.28 cnf(3262,plain,
% 172.48/172.28 (P34(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361])).
% 172.48/172.28 cnf(3263,plain,
% 172.48/172.28 (P76(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360])).
% 172.48/172.28 cnf(3264,plain,
% 172.48/172.28 (~E(a1,x32641)+P43(x32641)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359])).
% 172.48/172.28 cnf(3265,plain,
% 172.48/172.28 (P57(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358])).
% 172.48/172.28 cnf(3267,plain,
% 172.48/172.28 (~P10(a109,f16(f114(x32671,a1),f19(a109,f23(f114(a109,a1)),a113),f19(a109,f23(f114(a109,a1)),a113)),a115)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356])).
% 172.48/172.28 cnf(3269,plain,
% 172.48/172.28 (P63(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354])).
% 172.48/172.28 cnf(3270,plain,
% 172.48/172.28 (P42(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353])).
% 172.48/172.28 cnf(3271,plain,
% 172.48/172.28 (P69(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352])).
% 172.48/172.28 cnf(3272,plain,
% 172.48/172.28 (P51(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350])).
% 172.48/172.28 cnf(3274,plain,
% 172.48/172.28 (~P9(x32741,x32742,f31(x32741,f4(a109),f2(f114(x32741,a1))),f28(f4(a109)))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348])).
% 172.48/172.28 cnf(3277,plain,
% 172.48/172.28 (P23(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344])).
% 172.48/172.28 cnf(3278,plain,
% 172.48/172.28 (P68(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343])).
% 172.48/172.28 cnf(3279,plain,
% 172.48/172.28 (P41(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342])).
% 172.48/172.28 cnf(3280,plain,
% 172.48/172.28 (P37(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,426,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341])).
% 172.48/172.28 cnf(3281,plain,
% 172.48/172.28 (P72(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,426,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340])).
% 172.48/172.28 cnf(3283,plain,
% 172.48/172.28 (P32(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338])).
% 172.48/172.28 cnf(3284,plain,
% 172.48/172.28 (P56(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337])).
% 172.48/172.28 cnf(3286,plain,
% 172.48/172.28 (~P11(a109,f23(f114(a109,a1)),f5(a110,f13(a110,x32861,a113),x32861),a115)),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335])).
% 172.48/172.28 cnf(3288,plain,
% 172.48/172.28 (~P11(f22(f29(a110,a109)),f2(f114(a109,a1)),x32881,f62(f31(a109,x32882,f2(f114(a109,a1))),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333])).
% 172.48/172.28 cnf(3289,plain,
% 172.48/172.28 (P22(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332])).
% 172.48/172.28 cnf(3290,plain,
% 172.48/172.28 (P31(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331])).
% 172.48/172.28 cnf(3291,plain,
% 172.48/172.28 (P52(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330])).
% 172.48/172.28 cnf(3292,plain,
% 172.48/172.28 (P77(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329])).
% 172.48/172.28 cnf(3293,plain,
% 172.48/172.28 (P45(f13(a110,f3(a110),a109))),
% 172.48/172.28 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328])).
% 172.48/172.28 cnf(3294,plain,
% 172.48/172.28 (P26(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326])).
% 172.48/172.29 cnf(3295,plain,
% 172.48/172.29 (P36(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325])).
% 172.48/172.29 cnf(3296,plain,
% 172.48/172.29 (P53(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324])).
% 172.48/172.29 cnf(3297,plain,
% 172.48/172.29 (P47(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323])).
% 172.48/172.29 cnf(3298,plain,
% 172.48/172.29 (P71(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,509,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322])).
% 172.48/172.29 cnf(3299,plain,
% 172.48/172.29 (P60(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,509,515,520,522,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319])).
% 172.48/172.29 cnf(3300,plain,
% 172.48/172.29 (P66(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318])).
% 172.48/172.29 cnf(3301,plain,
% 172.48/172.29 (P29(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316])).
% 172.48/172.29 cnf(3302,plain,
% 172.48/172.29 (P38(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314])).
% 172.48/172.29 cnf(3303,plain,
% 172.48/172.29 (P19(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313])).
% 172.48/172.29 cnf(3304,plain,
% 172.48/172.29 (~P12(a109,f47(a115,a113,a109),f5(a110,f13(a110,x33041,a113),x33041))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312])).
% 172.48/172.29 cnf(3305,plain,
% 172.48/172.29 (~P12(a109,f14(f114(x33051,a1),f47(a115,a113,a109),f47(a115,a113,a109)),a113)),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311])).
% 172.48/172.29 cnf(3307,plain,
% 172.48/172.29 (P46(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308])).
% 172.48/172.29 cnf(3308,plain,
% 172.48/172.29 (P50(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307])).
% 172.48/172.29 cnf(3309,plain,
% 172.48/172.29 (P55(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300])).
% 172.48/172.29 cnf(3310,plain,
% 172.48/172.29 (~P13(a109,f23(f114(a109,a1)),f5(a110,f13(a110,f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x33101,x33101)),x33102),f4(a109))),x33103),x33103))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299])).
% 172.48/172.29 cnf(3311,plain,
% 172.48/172.29 (~P13(a109,f13(a110,f23(f114(a109,a1)),f3(a110)),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x33111,x33111)),x33112),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298])).
% 172.48/172.29 cnf(3312,plain,
% 172.48/172.29 (~P13(f22(f29(a110,a109)),f23(f114(a109,a1)),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x33121,x33121)),x33122),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297])).
% 172.48/172.29 cnf(3313,plain,
% 172.48/172.29 (P49(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296])).
% 172.48/172.29 cnf(3314,plain,
% 172.48/172.29 (P73(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295])).
% 172.48/172.29 cnf(3315,plain,
% 172.48/172.29 (P59(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294])).
% 172.48/172.29 cnf(3316,plain,
% 172.48/172.29 (P17(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293])).
% 172.48/172.29 cnf(3318,plain,
% 172.48/172.29 (E(f13(a111,x33181,f3(a111)),x33181)),
% 172.48/172.29 inference(rename_variables,[],[590])).
% 172.48/172.29 cnf(3319,plain,
% 172.48/172.29 (P58(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289])).
% 172.48/172.29 cnf(3320,plain,
% 172.48/172.29 (P48(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285])).
% 172.48/172.29 cnf(3322,plain,
% 172.48/172.29 (P2(f13(a110,f3(a110),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273])).
% 172.48/172.29 cnf(3325,plain,
% 172.48/172.29 (~P5(a110,f13(a110,x33251,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146])).
% 172.48/172.29 cnf(3327,plain,
% 172.48/172.29 (~P5(a109,f3(a109),f5(a109,f3(a109),f4(a109)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145])).
% 172.48/172.29 cnf(3331,plain,
% 172.48/172.29 (E(f29(a110,f27(f3(a109))),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997])).
% 172.48/172.29 cnf(3333,plain,
% 172.48/172.29 (P5(a110,f2(a110),x33331)),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957])).
% 172.48/172.29 cnf(3335,plain,
% 172.48/172.29 (P6(a111,f3(a111),f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940])).
% 172.48/172.29 cnf(3337,plain,
% 172.48/172.29 (P6(a110,f3(a110),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939])).
% 172.48/172.29 cnf(3339,plain,
% 172.48/172.29 (~P6(a111,f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111)),f13(a111,f3(a111),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330])).
% 172.48/172.29 cnf(3345,plain,
% 172.48/172.29 (~E(f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880])).
% 172.48/172.29 cnf(3353,plain,
% 172.48/172.29 (P5(a111,f3(a111),f13(a111,f3(a111),f3(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404])).
% 172.48/172.29 cnf(3355,plain,
% 172.48/172.29 (P5(a111,f3(a111),f33(f33(f12(a111),f3(a111)),f3(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365])).
% 172.48/172.29 cnf(3359,plain,
% 172.48/172.29 (P6(a109,f3(a109),f33(f33(f12(a109),f29(a110,f96(f3(a109)))),f29(a110,f96(f3(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363])).
% 172.48/172.29 cnf(3383,plain,
% 172.48/172.29 (~E(f31(x33831,f3(a109),f31(x33831,f3(a109),f2(f114(x33831,a1)))),f31(x33831,x33832,f31(x33831,f4(a109),f2(f114(x33831,a1)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812])).
% 172.48/172.29 cnf(3393,plain,
% 172.48/172.29 (~P78(f33(f19(a109,x33931,f23(f114(a109,a1))),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x33932,x33932)),x33933),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606])).
% 172.48/172.29 cnf(3395,plain,
% 172.48/172.29 (~P78(f33(f19(a109,f14(f114(x33951,a1),f2(f114(a109,a1)),f2(f114(a109,a1))),x33952),f44(x33953,f14(f114(x33951,a1),f2(f114(a109,a1)),f2(f114(a109,a1))),a109)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604])).
% 172.48/172.29 cnf(3403,plain,
% 172.48/172.29 (P5(a110,f33(f33(f12(a110),x34031),x34032),f33(f33(f12(a110),x34031),f13(a110,x34032,x34033)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530])).
% 172.48/172.29 cnf(3413,plain,
% 172.48/172.29 (~P5(a109,f47(a115,a113,a109),f39(a113,f47(a115,a113,a109),a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334])).
% 172.48/172.29 cnf(3421,plain,
% 172.48/172.29 (~E(f13(a109,f4(a109),x34211),f13(a109,f3(a109),x34211))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100])).
% 172.48/172.29 cnf(3423,plain,
% 172.48/172.29 (~E(f13(a109,x34231,f4(a109)),f13(a109,x34231,f3(a109)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098])).
% 172.48/172.29 cnf(3427,plain,
% 172.48/172.29 (~E(f16(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f3(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,411,412,413,414,415,416,420,424,426,429,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023])).
% 172.48/172.29 cnf(3443,plain,
% 172.48/172.29 (E(f5(a109,f2(a110),f3(a110)),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825])).
% 172.48/172.29 cnf(3445,plain,
% 172.48/172.29 (E(f5(a109,f22(f3(a109)),f3(a110)),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824])).
% 172.48/172.29 cnf(3447,plain,
% 172.48/172.29 (~P5(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695])).
% 172.48/172.29 cnf(3449,plain,
% 172.48/172.29 (~P5(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694])).
% 172.48/172.29 cnf(3455,plain,
% 172.48/172.29 (P6(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110)),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542])).
% 172.48/172.29 cnf(3457,plain,
% 172.48/172.29 (P6(a110,f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541])).
% 172.48/172.29 cnf(3459,plain,
% 172.48/172.29 (P6(a109,f33(f33(f12(a109),f29(a110,f96(f3(a109)))),f3(a109)),f33(f33(f12(a109),f29(a110,f96(f3(a109)))),f29(a110,f96(f3(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537])).
% 172.48/172.29 cnf(3465,plain,
% 172.48/172.29 (~E(f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040])).
% 172.48/172.29 cnf(3479,plain,
% 172.48/172.29 (P6(a110,f5(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f5(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586])).
% 172.48/172.29 cnf(3481,plain,
% 172.48/172.29 (P4(a109,a58,f6(f114(a109,a1),f31(f114(a109,a1),a113,x34811)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400])).
% 172.48/172.29 cnf(3489,plain,
% 172.48/172.29 (~P78(f33(f36(f4(a109)),f78(f36(f4(a109)),f30(x34891,f3(a109)),x34892,f114(x34891,a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859])).
% 172.48/172.29 cnf(3491,plain,
% 172.48/172.29 (~P78(f33(f36(f4(a109)),f78(f36(f4(a109)),x34911,f30(x34912,f3(a109)),f114(x34912,a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858])).
% 172.48/172.29 cnf(3493,plain,
% 172.48/172.29 (P78(f33(a113,f83(a113,a113,x34931,a109)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837])).
% 172.48/172.29 cnf(3497,plain,
% 172.48/172.29 (~P5(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),x34971),f13(a110,f3(a110),x34971))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677])).
% 172.48/172.29 cnf(3499,plain,
% 172.48/172.29 (~P5(a110,f13(a110,x34991,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f13(a110,x34991,f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675])).
% 172.48/172.29 cnf(3503,plain,
% 172.48/172.29 (P6(a110,f13(a110,x35031,f3(a110)),f13(a110,x35031,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450])).
% 172.48/172.29 cnf(3511,plain,
% 172.48/172.29 (~P5(f114(a109,a1),f31(a109,x35111,f2(f114(a109,a1))),f14(f114(a109,a1),x35112,f2(f114(a109,a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362])).
% 172.48/172.29 cnf(3515,plain,
% 172.48/172.29 (~P78(f33(f36(f4(a109)),f5(a110,f13(a110,f3(a109),x35151),x35151)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682])).
% 172.48/172.29 cnf(3523,plain,
% 172.48/172.29 (P4(a109,f33(f33(f24(a109),f29(a110,x35231)),x35232),f15(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,640,1987,2228,2307,641,588,589,590,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263])).
% 172.48/172.29 cnf(3532,plain,
% 172.48/172.29 (E(f13(a111,x35321,f3(a111)),x35321)),
% 172.48/172.29 inference(rename_variables,[],[590])).
% 172.48/172.29 cnf(3546,plain,
% 172.48/172.29 (~P5(f114(a109,a1),f31(a109,f3(a109),f2(f114(a109,a1))),f31(a109,f4(a109),f2(f114(a109,a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573])).
% 172.48/172.29 cnf(3548,plain,
% 172.48/172.29 (P14(a110,f33(f12(a110),f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441])).
% 172.48/172.29 cnf(3550,plain,
% 172.48/172.29 (P5(a109,f13(a109,f3(a109),f3(a109)),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275])).
% 172.48/172.29 cnf(3552,plain,
% 172.48/172.29 (P6(a111,f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274])).
% 172.48/172.29 cnf(3554,plain,
% 172.48/172.29 (P6(a111,f13(a111,f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273])).
% 172.48/172.29 cnf(3556,plain,
% 172.48/172.29 (P5(a109,f3(a109),f13(a109,f3(a109),f3(a109)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272])).
% 172.48/172.29 cnf(3566,plain,
% 172.48/172.29 (P5(f114(x35661,a1),f16(f114(x35661,a1),x35662,x35662),x35662)),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662])).
% 172.48/172.29 cnf(3568,plain,
% 172.48/172.29 (P5(f114(x35681,a1),x35682,f14(f114(x35681,a1),x35682,x35682))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661])).
% 172.48/172.29 cnf(3578,plain,
% 172.48/172.29 (~P5(a109,f13(a109,f33(f33(f12(a109),x35781),x35781),f33(f33(f12(a109),f4(a109)),f4(a109))),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819])).
% 172.48/172.29 cnf(3580,plain,
% 172.48/172.29 (P6(a109,f3(a109),f13(a109,f33(f33(f12(a109),f4(a109)),f4(a109)),f33(f33(f12(a109),x35801),x35801)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761])).
% 172.48/172.29 cnf(3582,plain,
% 172.48/172.29 (P6(a109,f3(a109),f13(a109,f33(f33(f12(a109),x35821),x35821),f33(f33(f12(a109),f4(a109)),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760])).
% 172.48/172.29 cnf(3590,plain,
% 172.48/172.29 (~E(f13(a109,f13(a109,f4(a109),f29(a110,x35901)),f29(a110,x35901)),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,502,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509])).
% 172.48/172.29 cnf(3616,plain,
% 172.48/172.29 (E(f13(a111,f33(f33(f12(a111),x36161),x36162),x36163),f13(a111,f33(f33(f12(a111),x36164),x36162),f13(a111,x36163,f33(f33(f12(a111),f5(a111,x36161,x36164)),x36162))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842])).
% 172.48/172.29 cnf(3618,plain,
% 172.48/172.29 (E(f13(a109,f33(f33(f12(a109),x36181),x36182),x36183),f13(a109,f33(f33(f12(a109),x36184),x36182),f13(a111,f13(a109,f33(f33(f12(a109),f5(a109,x36181,x36184)),x36182),x36183),f3(a111))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841])).
% 172.48/172.29 cnf(3630,plain,
% 172.48/172.29 (P6(a110,f3(a110),f13(a110,x36301,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966])).
% 172.48/172.29 cnf(3631,plain,
% 172.48/172.29 (~P6(a110,x36311,f3(a110))),
% 172.48/172.29 inference(rename_variables,[],[741])).
% 172.48/172.29 cnf(3641,plain,
% 172.48/172.29 (~P78(f33(f19(a110,x36411,f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1))))),f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721])).
% 172.48/172.29 cnf(3649,plain,
% 172.48/172.29 (~P6(a110,f5(a110,f33(f33(f12(a110),f14(a110,f3(a110),x36491)),f14(a110,f3(a110),x36491)),f14(a110,f3(a110),x36491)),f5(a110,f3(a110),f14(a110,f3(a110),x36491)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782])).
% 172.48/172.29 cnf(3651,plain,
% 172.48/172.29 (P78(f33(f19(a109,a113,f14(f114(x36511,a1),f2(f114(a109,a1)),f2(f114(a109,a1)))),a58))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577])).
% 172.48/172.29 cnf(3655,plain,
% 172.48/172.29 (~P5(a111,f33(f33(f24(a111),f13(a111,f4(a111),f4(a111))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f24(a111),f13(a111,f4(a111),f4(a111))),f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742])).
% 172.48/172.29 cnf(3663,plain,
% 172.48/172.29 (P5(a109,f3(a109),f13(a109,f29(a110,f27(f3(a109))),f29(a110,f27(f3(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434])).
% 172.48/172.29 cnf(3669,plain,
% 172.48/172.29 (~P6(a109,f33(f33(f12(a109),f29(a110,f27(f3(a109)))),x36691),f33(f33(f12(a109),f3(a109)),x36691))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706])).
% 172.48/172.29 cnf(3683,plain,
% 172.48/172.29 (~P5(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f33(f33(f12(a111),f3(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,527,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753])).
% 172.48/172.29 cnf(3685,plain,
% 172.48/172.29 (~P5(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f33(f33(f12(a111),f4(a111)),f3(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,527,528,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752])).
% 172.48/172.29 cnf(3693,plain,
% 172.48/172.29 (~P6(a111,f33(f33(f12(a111),f3(a111)),f4(a111)),f33(f33(f12(a111),f3(a111)),f3(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747])).
% 172.48/172.29 cnf(3695,plain,
% 172.48/172.29 (~P6(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f33(f33(f12(a111),f4(a111)),f3(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746])).
% 172.48/172.29 cnf(3701,plain,
% 172.48/172.29 (~P6(a111,f33(f33(f12(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f3(a111)),f33(f33(f12(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,515,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743])).
% 172.48/172.29 cnf(3711,plain,
% 172.48/172.29 (P5(a111,f33(f33(f12(a111),f3(a111)),f4(a111)),f33(f33(f12(a111),f4(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636])).
% 172.48/172.29 cnf(3713,plain,
% 172.48/172.29 (P5(a111,f33(f33(f12(a111),f4(a111)),f3(a111)),f33(f33(f12(a111),f4(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634])).
% 172.48/172.29 cnf(3717,plain,
% 172.48/172.29 (P6(a111,f33(f33(f12(a111),f13(a111,f4(a111),f4(a111))),f3(a111)),f33(f33(f12(a111),f13(a111,f4(a111),f4(a111))),f13(a111,f4(a111),f4(a111))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632])).
% 172.48/172.29 cnf(3719,plain,
% 172.48/172.29 (P6(a111,f33(f33(f12(a111),f3(a111)),f4(a111)),f33(f33(f12(a111),f4(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630])).
% 172.48/172.29 cnf(3721,plain,
% 172.48/172.29 (P6(a111,f33(f33(f12(a111),f13(a111,f4(a111),f3(a111))),f3(a111)),f33(f33(f12(a111),f13(a111,f4(a111),f3(a111))),f13(a111,f4(a111),f3(a111))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629])).
% 172.48/172.29 cnf(3731,plain,
% 172.48/172.29 (P6(a111,f33(f33(f12(a111),f3(a111)),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f33(f33(f12(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622])).
% 172.48/172.29 cnf(3735,plain,
% 172.48/172.29 (~P6(a110,f3(a110),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f5(a110,f3(a110),x37351)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570])).
% 172.48/172.29 cnf(3739,plain,
% 172.48/172.29 (P5(a109,f3(a109),f13(a109,f29(a110,f3(a110)),f4(a109)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519])).
% 172.48/172.29 cnf(3741,plain,
% 172.48/172.29 (~P5(a109,f3(a109),f33(f33(f12(a109),f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f5(a109,f3(a109),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517])).
% 172.48/172.29 cnf(3743,plain,
% 172.48/172.29 (~P5(a109,f3(a109),f33(f33(f12(a109),f5(a109,f3(a109),f4(a109))),f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516])).
% 172.48/172.29 cnf(3745,plain,
% 172.48/172.29 (~P5(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515])).
% 172.48/172.29 cnf(3747,plain,
% 172.48/172.29 (P5(a111,f13(a111,f3(a111),f3(a111)),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489])).
% 172.48/172.29 cnf(3749,plain,
% 172.48/172.29 (P4(a109,f13(a109,f29(a110,x37491),f29(a110,x37491)),f15(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488])).
% 172.48/172.29 cnf(3763,plain,
% 172.48/172.29 (P5(a109,f33(f33(f12(a109),f3(a109)),f3(a109)),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477])).
% 172.48/172.29 cnf(3765,plain,
% 172.48/172.29 (P5(a111,f33(f33(f12(a111),f3(a111)),f3(a111)),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476])).
% 172.48/172.29 cnf(3767,plain,
% 172.48/172.29 (P5(a110,f33(f33(f12(a110),f5(a110,f3(a110),x37671)),f13(a110,f13(a110,x37672,f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f3(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475])).
% 172.48/172.29 cnf(3771,plain,
% 172.48/172.29 (P6(a111,f33(f33(f12(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f4(a111)),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470])).
% 172.48/172.29 cnf(3777,plain,
% 172.48/172.29 (P4(a109,f33(f33(f12(a109),f29(a110,x37771)),f29(a110,x37771)),f17(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466])).
% 172.48/172.29 cnf(3779,plain,
% 172.48/172.29 (P5(a111,f3(a111),f33(f33(f12(a111),f4(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465])).
% 172.48/172.29 cnf(3781,plain,
% 172.48/172.29 (P5(a111,f3(a111),f33(f33(f12(a111),f13(a111,f4(a111),f4(a111))),f13(a111,f4(a111),f4(a111))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464])).
% 172.48/172.29 cnf(3783,plain,
% 172.48/172.29 (P5(a111,f3(a111),f33(f33(f12(a111),f5(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f4(a111))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463])).
% 172.48/172.29 cnf(3787,plain,
% 172.48/172.29 (P6(a111,f3(a111),f33(f33(f12(a111),f4(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461])).
% 172.48/172.29 cnf(3799,plain,
% 172.48/172.29 (E(f16(f114(f3(a110),a1),f27(f29(a110,f2(f114(f3(a110),a1)))),f13(a110,f3(a110),f2(f114(f3(a110),a1)))),f2(f114(f3(a110),a1)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877])).
% 172.48/172.29 cnf(3805,plain,
% 172.48/172.29 (~P6(a109,f33(f33(f12(a109),x38051),f29(a110,f27(f3(a109)))),f33(f33(f12(a109),x38052),f29(a110,f27(f3(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722])).
% 172.48/172.29 cnf(3807,plain,
% 172.48/172.29 (~E(f13(a109,f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125])).
% 172.48/172.29 cnf(3808,plain,
% 172.48/172.29 (P4(a109,f29(a110,x38081),f15(a109))),
% 172.48/172.29 inference(rename_variables,[],[605])).
% 172.48/172.29 cnf(3814,plain,
% 172.48/172.29 (P5(a109,f13(a109,f33(f33(f12(a109),f28(f4(a109))),f28(f4(a109))),f33(f33(f12(a109),f28(f4(a109))),f28(f4(a109)))),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766])).
% 172.48/172.29 cnf(3816,plain,
% 172.48/172.29 (E(f13(a109,f33(f33(f12(a109),f29(a110,f3(a110))),f29(a110,f3(a110))),f33(f33(f12(a109),f29(a110,f3(a110))),f29(a110,f3(a110)))),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290])).
% 172.48/172.29 cnf(3820,plain,
% 172.48/172.29 (~P5(a111,f13(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f3(a111)),f13(a111,f33(f33(f12(a111),f4(a111)),f3(a111)),f3(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846])).
% 172.48/172.29 cnf(3822,plain,
% 172.48/172.29 (~P5(a111,f13(a111,f33(f33(f12(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f3(a111)),f3(a111)),f13(a111,f33(f33(f12(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f4(a111)),f3(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845])).
% 172.48/172.29 cnf(3827,plain,
% 172.48/172.29 (P5(a109,x38271,x38271)),
% 172.48/172.29 inference(rename_variables,[],[578])).
% 172.48/172.29 cnf(3830,plain,
% 172.48/172.29 (P5(a111,x38301,x38301)),
% 172.48/172.29 inference(rename_variables,[],[580])).
% 172.48/172.29 cnf(3832,plain,
% 172.48/172.29 (~E(f33(f33(f24(a109),x38321),f2(a110)),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,438,441,444,445,446,447,450,452,454,455,457,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969])).
% 172.48/172.29 cnf(3842,plain,
% 172.48/172.29 (P6(a111,f33(f33(f12(a111),f3(a111)),f3(a111)),f33(f33(f12(a111),f4(a111)),f4(a111)))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,3827,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,3830,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,437,438,441,444,445,446,447,450,452,454,455,457,459,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,542,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969,968,1780,1779,1778,1777])).
% 172.48/172.29 cnf(3848,plain,
% 172.48/172.29 (P5(a111,f13(a111,f33(f33(f12(a111),f3(a111)),f3(a111)),f33(f33(f12(a111),f4(a111)),f3(a111))),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,3827,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,3830,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,437,438,441,444,445,446,447,450,451,452,453,454,455,457,458,459,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,541,542,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,592,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969,968,1780,1779,1778,1777,1776,912,1826])).
% 172.48/172.29 cnf(3852,plain,
% 172.48/172.29 (~P6(a111,f3(a111),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,3827,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,3830,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,437,438,441,444,445,446,447,450,451,452,453,454,455,457,458,459,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,505,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,541,542,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,592,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969,968,1780,1779,1778,1777,1776,912,1826,1825,1005])).
% 172.48/172.29 cnf(3860,plain,
% 172.48/172.29 (~E(f13(a110,x38601,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x38601)),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,3827,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,3830,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,437,438,441,444,445,446,447,450,451,452,453,454,455,457,458,459,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,505,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,541,542,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,592,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969,968,1780,1779,1778,1777,1776,912,1826,1825,1005,897,785,904,890])).
% 172.48/172.29 cnf(3862,plain,
% 172.48/172.29 (~P4(a109,f54(f31(a109,f4(a109),f2(f114(a109,a1))),f31(a109,f3(a109),f2(f114(a109,a1))),a109),f31(a109,f4(a109),f2(f114(a109,a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,3827,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,3830,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,437,438,441,444,445,446,447,450,451,452,453,454,455,457,458,459,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,505,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,541,542,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,592,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969,968,1780,1779,1778,1777,1776,912,1826,1825,1005,897,785,904,890,1387])).
% 172.48/172.29 cnf(3866,plain,
% 172.48/172.29 (P8(f2(a110),f2(a110),x38661,f105(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x38661,f2(a110)),f106(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x38661,f2(a110)),f2(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,3827,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,3830,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,437,438,441,444,445,446,447,450,451,452,453,454,455,457,458,459,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,505,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,541,542,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,592,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969,968,1780,1779,1778,1777,1776,912,1826,1825,1005,897,785,904,890,1387,1445,1898])).
% 172.48/172.29 cnf(3868,plain,
% 172.48/172.29 (P8(f2(a110),f2(a110),x38681,f101(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x38681,f2(a110)),f102(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),x38681,f2(a110)),f2(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,1994,1997,2064,578,1981,2048,2050,2118,2121,2124,2127,2151,2155,2264,2320,2462,2465,2470,2475,2518,2521,2952,2975,2978,2987,2990,3188,3191,3827,579,1971,2156,2252,2309,2315,3081,3084,580,1924,1927,2502,2505,3830,737,1936,2009,2012,2132,2135,2142,2145,2152,2249,2312,381,382,383,384,386,387,388,389,390,391,392,394,396,397,398,399,400,402,403,404,406,407,408,409,410,411,412,413,414,415,416,420,424,425,426,429,430,431,433,435,436,437,438,441,444,445,446,447,450,451,452,453,454,455,457,458,459,460,463,466,467,468,470,471,473,474,476,477,478,479,482,485,487,488,491,492,494,497,500,501,502,503,504,505,506,507,508,509,510,511,512,514,515,517,518,519,520,522,523,525,526,527,528,530,531,532,533,534,535,537,538,540,541,542,543,545,548,574,587,2087,2090,2163,2173,2210,2253,2308,2323,2347,741,2055,2190,3631,569,549,594,596,734,735,550,551,554,567,643,2059,2061,2234,2268,2299,600,2038,2041,2271,637,1930,1933,2282,2291,638,639,2086,749,1939,1942,750,2326,731,733,610,644,2000,2015,2028,2031,2103,2106,2110,2182,752,612,2258,2261,2344,613,615,2148,747,2057,2333,2337,603,604,605,2341,3808,742,601,1921,1945,1948,1960,2070,2195,602,572,2063,573,606,1965,1976,1984,640,1987,2228,2307,641,588,589,590,3318,3532,591,2166,592,656,658,659,618,653,743,3147,744,2111,627,642,625,663,661,1957,1968,2052,647,751,662,2267,634,679,723,2,898,889,883,892,1592,1326,1324,1312,1311,1198,1193,1191,993,983,902,901,900,1006,895,1658,1561,1560,1435,1416,1138,1137,1085,1084,1002,952,922,833,832,1425,1162,937,936,1533,1531,1490,1323,1183,1161,1655,1358,1557,1556,1555,1205,1765,1764,306,305,304,301,292,291,288,287,286,283,282,281,280,279,278,277,274,3,1639,1095,1094,1091,1090,1089,1075,1074,1000,959,911,910,802,800,1254,1215,1133,971,1399,1345,1343,1339,1337,1329,1238,1237,1236,1235,1234,1233,1079,1267,1243,1738,1588,1335,1319,1159,1124,1587,917,1673,1456,1361,1360,1249,1247,1142,1890,1840,1839,1808,1807,1804,1803,1154,929,928,1524,1391,1390,1389,1388,1083,925,1523,1792,1770,1591,1644,1643,1877,1875,1867,1865,1834,1833,1885,1685,1848,1869,1726,1176,1174,1173,1172,1168,1165,1106,1025,967,1405,1112,1402,1432,1431,1430,1617,1614,1613,1612,1631,1678,1896,1076,1698,1278,991,990,985,935,933,888,790,783,780,972,874,868,1894,1794,1656,1567,1325,1308,1220,1218,1217,1216,1197,1195,1066,1065,1064,1063,1062,1061,1060,1059,1055,1054,913,811,810,798,797,796,795,793,771,770,769,768,767,766,765,764,763,762,761,760,759,758,1550,1491,1082,1081,1047,1041,980,903,894,893,881,779,778,776,757,756,1289,1288,1232,1180,1179,1102,1056,1048,1046,1044,1043,896,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1657,1618,1569,1568,1554,1508,1505,1503,1424,1423,1422,1421,1420,1419,1418,1417,1401,1353,1351,1332,1331,1322,1321,1301,1298,1287,1286,1285,1255,1225,1221,1213,1212,1122,1108,1107,1101,1077,1072,1071,1070,1069,1058,1057,1020,1019,995,951,950,948,947,945,944,943,942,879,878,849,848,847,846,845,844,831,823,822,819,818,817,814,813,812,808,807,806,803,775,772,755,1835,1786,1784,1713,1659,1575,1574,1535,1493,1492,1320,1314,1313,1292,1291,1283,1257,1256,1211,916,914,1182,1024,1548,1547,1204,1203,1202,1164,1163,1153,1151,1150,1148,1139,1052,1051,1003,862,861,860,859,858,857,856,855,853,838,837,836,835,830,828,1861,1860,1816,1757,1735,1734,1704,1703,1702,1534,1532,1529,1527,1525,1513,1511,1386,1385,1383,1381,1380,1378,1376,1375,1373,1372,1370,1333,1307,1295,1277,1276,1189,1136,1135,1131,1130,1128,1127,1126,1119,1115,1114,1035,863,1818,1817,1772,1771,1768,1767,1715,1647,1646,1598,1597,1596,1595,1582,1579,1496,1394,1393,1796,1730,1729,1514,1442,1427,1349,1347,1327,1306,1305,979,1829,1793,1638,1838,1755,1667,1665,1607,1801,1756,1884,1893,1892,1889,1888,380,379,378,377,374,373,372,371,370,369,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,350,349,348,347,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,326,325,324,323,322,319,318,316,314,313,312,311,310,308,307,300,299,298,297,296,295,294,293,290,289,285,284,273,1640,1146,1145,1073,997,957,940,939,1330,1250,1067,880,809,789,1478,1404,1365,1364,1363,1294,1246,1245,1244,1240,1239,1080,826,1282,1281,1813,1812,1811,1810,1724,1697,1606,1604,1594,1590,1589,1530,1498,1429,1341,1340,1334,1201,1157,1156,1100,1098,1097,1023,1022,1018,1016,1015,1013,921,920,825,824,1695,1694,1688,1543,1542,1541,1537,1536,1181,1040,1039,1038,1036,1731,1403,1222,1586,1400,834,1814,1599,1859,1858,1837,1836,1677,1675,1671,1450,1449,1367,1366,1362,1248,1682,1680,1679,1558,1263,1262,1261,1260,1155,927,918,840,839,1899,1669,1573,1441,1275,1274,1273,1272,1271,851,1758,1708,1662,1661,1660,1117,1754,1820,1819,1761,1760,1663,1585,1584,1509,1876,1866,1775,1774,1773,1882,1881,1880,1879,1871,1870,1868,1842,1841,1832,1831,1134,1033,1027,966,1799,1650,1280,1279,1721,1411,1408,882,1782,1577,1443,1742,1740,1611,1609,1434,1433,1270,1706,1705,1357,1355,1806,1748,1637,1753,1752,1751,1750,1749,1747,1746,1745,1744,1743,1712,1711,1710,1709,1636,1634,1633,1632,1630,1629,1628,1626,1624,1623,1622,1571,1570,1522,1519,1517,1516,1515,1489,1488,1487,1486,1485,1484,1483,1479,1477,1476,1475,1473,1470,1469,1467,1466,1465,1464,1463,1462,1461,1460,1459,1457,932,931,877,876,1723,1722,1125,1822,1802,1766,1290,1444,1846,1845,1725,1304,1303,969,968,1780,1779,1778,1777,1776,912,1826,1825,1005,897,785,904,890,1387,1445,1898,1897])).
% 172.48/172.29 cnf(3897,plain,
% 172.48/172.29 (P43(f13(a110,f3(a110),a1))),
% 172.48/172.29 inference(scs_inference,[],[2290,3264])).
% 172.48/172.29 cnf(3898,plain,
% 172.48/172.29 (E(x38981,f13(a110,f3(a110),x38981))),
% 172.48/172.29 inference(rename_variables,[],[2290])).
% 172.48/172.29 cnf(3900,plain,
% 172.48/172.29 (~E(f22(f13(a109,f29(a110,x39001),f4(a109))),x39001)),
% 172.48/172.29 inference(rename_variables,[],[2100])).
% 172.48/172.29 cnf(3903,plain,
% 172.48/172.29 (~E(f22(f13(a109,f29(a110,x39031),f4(a109))),x39031)),
% 172.48/172.29 inference(rename_variables,[],[2100])).
% 172.48/172.29 cnf(3906,plain,
% 172.48/172.29 (P6(a109,x39061,f13(a109,f29(a110,f27(x39061)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(3911,plain,
% 172.48/172.29 (~P4(x39111,x39112,f2(f114(x39111,a1)))),
% 172.48/172.29 inference(rename_variables,[],[747])).
% 172.48/172.29 cnf(3914,plain,
% 172.48/172.29 (~P4(x39141,x39142,f2(f114(x39141,a1)))),
% 172.48/172.29 inference(rename_variables,[],[747])).
% 172.48/172.29 cnf(3917,plain,
% 172.48/172.29 (~P4(x39171,x39172,f14(f114(x39171,a1),f2(f114(x39171,a1)),x39173))),
% 172.48/172.29 inference(rename_variables,[],[2803])).
% 172.48/172.29 cnf(3920,plain,
% 172.48/172.29 (~P4(x39201,x39202,f14(f114(x39201,a1),f2(f114(x39201,a1)),x39203))),
% 172.48/172.29 inference(rename_variables,[],[2803])).
% 172.48/172.29 cnf(3923,plain,
% 172.48/172.29 (~P4(x39231,x39232,f2(f114(x39231,a1)))),
% 172.48/172.29 inference(rename_variables,[],[747])).
% 172.48/172.29 cnf(3925,plain,
% 172.48/172.29 (P25(f13(a110,f3(a110),a111))),
% 172.48/172.29 inference(scs_inference,[],[434,747,3911,3914,661,2803,3917,2100,3900,2290,3898,3331,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351])).
% 172.48/172.29 cnf(3926,plain,
% 172.48/172.29 (E(x39261,f13(a110,f3(a110),x39261))),
% 172.48/172.29 inference(rename_variables,[],[2290])).
% 172.48/172.29 cnf(3927,plain,
% 172.48/172.29 (P21(f13(a110,f3(a110),f112(x39271)))),
% 172.48/172.29 inference(scs_inference,[],[434,565,747,3911,3914,661,2803,3917,2100,3900,2290,3898,3926,3331,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327])).
% 172.48/172.29 cnf(3928,plain,
% 172.48/172.29 (E(x39281,f13(a110,f3(a110),x39281))),
% 172.48/172.29 inference(rename_variables,[],[2290])).
% 172.48/172.29 cnf(3929,plain,
% 172.48/172.29 (P20(f13(a110,f3(a110),f112(x39291)))),
% 172.48/172.29 inference(scs_inference,[],[434,562,565,747,3911,3914,661,2803,3917,2100,3900,2290,3898,3926,3928,3331,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317])).
% 172.48/172.29 cnf(3930,plain,
% 172.48/172.29 (E(x39301,f13(a110,f3(a110),x39301))),
% 172.48/172.29 inference(rename_variables,[],[2290])).
% 172.48/172.29 cnf(3931,plain,
% 172.48/172.29 (P18(f13(a110,f3(a110),a110))),
% 172.48/172.29 inference(scs_inference,[],[401,434,562,565,747,3911,3914,661,2803,3917,2100,3900,2290,3898,3926,3928,3930,3331,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309])).
% 172.48/172.29 cnf(3932,plain,
% 172.48/172.29 (E(x39321,f13(a110,f3(a110),x39321))),
% 172.48/172.29 inference(rename_variables,[],[2290])).
% 172.48/172.29 cnf(3933,plain,
% 172.48/172.29 (P1(f13(a110,f3(a110),f112(x39331)))),
% 172.48/172.29 inference(scs_inference,[],[401,434,555,562,565,747,3911,3914,661,2803,3917,2100,3900,2290,3898,3926,3928,3930,3932,3331,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272])).
% 172.48/172.29 cnf(3934,plain,
% 172.48/172.29 (E(x39341,f13(a110,f3(a110),x39341))),
% 172.48/172.29 inference(rename_variables,[],[2290])).
% 172.48/172.29 cnf(3938,plain,
% 172.48/172.29 (~E(f13(a109,x39381,f4(a109)),x39381)),
% 172.48/172.29 inference(rename_variables,[],[2175])).
% 172.48/172.29 cnf(3940,plain,
% 172.48/172.29 (~P6(a109,f3(a109),f28(f4(a109)))),
% 172.48/172.29 inference(scs_inference,[],[401,434,555,562,565,747,3911,3914,661,382,2803,3917,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,1912,3304,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208])).
% 172.48/172.29 cnf(3941,plain,
% 172.48/172.29 (~P6(a109,x39411,x39411)),
% 172.48/172.29 inference(rename_variables,[],[1912])).
% 172.48/172.29 cnf(3943,plain,
% 172.48/172.29 (P4(a109,f40(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x39431,x39431)),x39432),f4(a109))),f13(a110,f23(f114(a109,a1)),f3(a110)),a109),f13(a110,f23(f114(a109,a1)),f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[401,434,555,562,565,747,3911,3914,661,382,2803,3917,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158])).
% 172.48/172.29 cnf(3945,plain,
% 172.48/172.29 (~P5(a109,f33(f33(f12(a109),f3(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f33(f33(f12(a109),f5(a109,f3(a109),f4(a109))),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[401,434,555,562,565,747,3911,3914,661,3906,382,2803,3917,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692])).
% 172.48/172.29 cnf(3946,plain,
% 172.48/172.29 (P6(a109,x39461,f13(a109,f29(a110,f27(x39461)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(3948,plain,
% 172.48/172.29 (~P5(a109,f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f5(a109,f3(a109),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[401,434,555,562,565,747,3911,3914,661,3906,3946,382,2803,3917,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691])).
% 172.48/172.29 cnf(3949,plain,
% 172.48/172.29 (P6(a109,x39491,f13(a109,f29(a110,f27(x39491)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(3954,plain,
% 172.48/172.29 (P6(a109,x39541,f13(a109,f29(a110,f27(x39541)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(3957,plain,
% 172.48/172.29 (P6(a109,x39571,f13(a109,f29(a110,f27(x39571)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(3959,plain,
% 172.48/172.29 (P9(x39591,x39592,f31(x39591,x39593,f2(f114(x39591,a1))),x39593)),
% 172.48/172.29 inference(scs_inference,[],[401,434,555,562,565,741,747,3911,3914,3923,606,661,3906,3946,3949,3954,733,382,2803,3917,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895])).
% 172.48/172.29 cnf(3965,plain,
% 172.48/172.29 (P5(f112(x39651),f6(f112(x39651),f2(f114(f112(x39651),a1))),x39652)),
% 172.48/172.29 inference(scs_inference,[],[401,434,557,480,555,562,565,741,637,639,747,3911,3914,3923,606,661,3906,3946,3949,3954,477,733,382,2803,3917,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231])).
% 172.48/172.29 cnf(3967,plain,
% 172.48/172.29 (P5(f112(x39671),f6(f112(x39671),f14(f114(f112(x39671),a1),f2(f114(f112(x39671),a1)),x39672)),x39673)),
% 172.48/172.29 inference(scs_inference,[],[401,434,557,480,555,562,565,741,637,639,747,3911,3914,3923,606,661,3906,3946,3949,3954,477,733,382,2803,3917,3920,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230])).
% 172.48/172.29 cnf(3969,plain,
% 172.48/172.29 (P5(f112(x39691),x39692,f7(f112(x39691),f14(f114(f112(x39691),a1),x39693,f2(f114(f112(x39691),a1)))))),
% 172.48/172.29 inference(scs_inference,[],[401,434,557,480,555,562,565,741,637,639,747,3911,3914,3923,606,661,3906,3946,3949,3954,477,733,382,2803,3917,3920,2805,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229])).
% 172.48/172.29 cnf(3971,plain,
% 172.48/172.29 (P5(f112(x39711),x39712,f7(f112(x39711),f5(f114(f112(x39711),a1),f2(f114(f112(x39711),a1)),x39713)))),
% 172.48/172.29 inference(scs_inference,[],[401,434,557,480,555,562,565,741,637,639,747,3911,3914,3923,606,661,3906,3946,3949,3954,477,733,382,2803,3917,3920,2805,2807,2100,3900,2917,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228])).
% 172.48/172.29 cnf(3973,plain,
% 172.48/172.29 (~E(f14(f112(x39731),x39732,f22(f13(a109,f29(a110,f23(f112(x39731))),f4(a109)))),f23(f112(x39731)))),
% 172.48/172.29 inference(scs_inference,[],[401,434,557,480,555,562,565,741,637,639,747,3911,3914,3923,606,661,3906,3946,3949,3954,477,733,382,2803,3917,3920,2805,2807,2100,3900,3903,2917,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,1912,3304,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926])).
% 172.48/172.29 cnf(3976,plain,
% 172.48/172.29 (P6(a109,x39761,f13(a109,x39761,f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[2865])).
% 172.48/172.29 cnf(3977,plain,
% 172.48/172.29 (P5(a109,x39771,x39771)),
% 172.48/172.29 inference(rename_variables,[],[578])).
% 172.48/172.29 cnf(3979,plain,
% 172.48/172.29 (~P5(a109,f3(a109),f13(a109,f5(a109,f3(a109),f4(a109)),f5(a109,f3(a109),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[401,434,557,480,555,562,565,578,741,637,639,747,3911,3914,3923,606,661,3906,3946,3949,3954,477,733,466,382,2803,3917,3920,2805,2807,2100,3900,3903,2917,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,1912,3304,2865,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392])).
% 172.48/172.29 cnf(3982,plain,
% 172.48/172.29 (P5(a110,x39821,x39821)),
% 172.48/172.29 inference(rename_variables,[],[579])).
% 172.48/172.29 cnf(3985,plain,
% 172.48/172.29 (~P6(a110,x39851,x39851)),
% 172.48/172.29 inference(rename_variables,[],[737])).
% 172.48/172.29 cnf(3988,plain,
% 172.48/172.29 (~E(f13(a110,x39881,f4(a109)),f13(a110,x39881,f3(a109)))),
% 172.48/172.29 inference(rename_variables,[],[2879])).
% 172.48/172.29 cnf(3991,plain,
% 172.48/172.29 (~E(f13(a110,x39911,f4(a109)),f13(a110,x39911,f3(a109)))),
% 172.48/172.29 inference(rename_variables,[],[2879])).
% 172.48/172.29 cnf(3994,plain,
% 172.48/172.29 (~E(f31(x39941,x39942,x39943),f2(f114(x39941,a1)))),
% 172.48/172.29 inference(rename_variables,[],[743])).
% 172.48/172.29 cnf(3997,plain,
% 172.48/172.29 (P4(x39971,x39972,f31(x39971,x39972,x39973))),
% 172.48/172.29 inference(rename_variables,[],[643])).
% 172.48/172.29 cnf(3998,plain,
% 172.48/172.29 (P5(f114(x39981,a1),x39982,x39982)),
% 172.48/172.29 inference(rename_variables,[],[600])).
% 172.48/172.29 cnf(4001,plain,
% 172.48/172.29 (~P4(x40011,x40012,f14(f114(x40013,a1),f2(f114(x40011,a1)),f2(f114(x40011,a1))))),
% 172.48/172.29 inference(rename_variables,[],[1947])).
% 172.48/172.29 cnf(4002,plain,
% 172.48/172.29 (P5(f114(x40021,a1),f14(f114(x40021,a1),x40022,x40023),x40022)),
% 172.48/172.29 inference(rename_variables,[],[660])).
% 172.48/172.29 cnf(4005,plain,
% 172.48/172.29 (P78(f33(f23(f114(x40051,a1)),x40052))),
% 172.48/172.29 inference(rename_variables,[],[625])).
% 172.48/172.29 cnf(4007,plain,
% 172.48/172.29 (P5(f114(x40071,a1),f14(f114(x40071,a1),f14(f114(x40071,a1),x40072,x40073),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x40071,a1),x40072,x40074))),
% 172.48/172.29 inference(scs_inference,[],[753,401,434,557,660,4002,480,555,562,565,578,579,3982,737,741,643,600,637,639,747,3911,3914,3923,606,625,661,3906,3946,3949,3954,477,743,733,466,382,2803,3917,3920,2805,2807,1947,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3304,2865,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887])).
% 172.48/172.29 cnf(4008,plain,
% 172.48/172.29 (~P78(f33(f19(a109,f23(f114(a109,a1)),a113),x40081))),
% 172.48/172.29 inference(rename_variables,[],[753])).
% 172.48/172.29 cnf(4010,plain,
% 172.48/172.29 (~P6(a109,f29(a110,f22(x40101)),x40101)),
% 172.48/172.29 inference(scs_inference,[],[753,401,434,557,660,4002,480,555,562,565,578,579,3982,737,741,643,600,637,639,747,3911,3914,3923,606,625,661,3906,3946,3949,3954,477,743,733,387,466,382,2803,3917,3920,2805,2807,1947,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3941,3304,2865,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170])).
% 172.48/172.29 cnf(4011,plain,
% 172.48/172.29 (~P6(a109,x40111,x40111)),
% 172.48/172.29 inference(rename_variables,[],[1912])).
% 172.48/172.29 cnf(4013,plain,
% 172.48/172.29 (~P6(a110,f33(f33(f12(a110),x40131),x40131),x40131)),
% 172.48/172.29 inference(scs_inference,[],[753,401,434,557,660,4002,480,555,562,565,578,579,3982,737,3985,741,643,600,637,639,747,3911,3914,3923,606,627,625,661,3906,3946,3949,3954,389,477,743,733,387,466,382,2803,3917,3920,2805,2807,1947,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3941,3304,2865,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169])).
% 172.48/172.29 cnf(4014,plain,
% 172.48/172.29 (P5(a110,x40141,f33(f33(f12(a110),x40141),x40141))),
% 172.48/172.29 inference(rename_variables,[],[627])).
% 172.48/172.29 cnf(4016,plain,
% 172.48/172.29 (~P6(a110,f33(f33(f12(a110),x40161),f33(f33(f12(a110),x40161),x40161)),x40161)),
% 172.48/172.29 inference(scs_inference,[],[753,401,434,557,660,4002,480,555,562,565,578,579,3982,737,3985,741,643,600,637,639,747,3911,3914,3923,606,627,625,679,661,3906,3946,3949,3954,389,477,743,396,733,387,466,382,2803,3917,3920,2805,2807,1947,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3941,3304,2865,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167])).
% 172.48/172.29 cnf(4026,plain,
% 172.48/172.29 (E(f33(f33(f12(a111),x40261),f4(a111)),x40261)),
% 172.48/172.29 inference(rename_variables,[],[576])).
% 172.48/172.29 cnf(4028,plain,
% 172.48/172.29 (~P15(a110,f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.29 inference(scs_inference,[],[753,401,434,557,660,4002,480,555,562,565,576,578,579,3982,737,3985,587,741,643,600,637,639,747,3911,3914,3923,606,627,625,679,398,661,3906,3946,3949,3954,397,389,477,743,396,733,387,466,596,382,2803,3917,3920,2805,2807,1947,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3941,3669,3805,3449,3304,2865,3787,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143])).
% 172.48/172.29 cnf(4030,plain,
% 172.48/172.29 (P10(a110,f23(f114(x40301,a1)),f3(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,401,434,557,660,4002,480,555,562,565,576,578,579,3982,737,3985,587,741,643,600,637,639,747,3911,3914,3923,606,627,625,4005,679,384,398,661,3906,3946,3949,3954,397,389,477,743,396,733,387,466,596,382,2803,3917,3920,2805,2807,1947,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3941,3669,3805,3449,3304,2865,2162,3787,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118])).
% 172.48/172.29 cnf(4033,plain,
% 172.48/172.29 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x40331,f4(a109))))),x40331)),
% 172.48/172.29 inference(rename_variables,[],[2179])).
% 172.48/172.29 cnf(4036,plain,
% 172.48/172.29 (P5(a110,f3(a110),x40361)),
% 172.48/172.29 inference(rename_variables,[],[587])).
% 172.48/172.29 cnf(4037,plain,
% 172.48/172.29 (P6(a110,x40371,f22(f13(a109,f29(a110,x40371),f4(a109))))),
% 172.48/172.29 inference(rename_variables,[],[1964])).
% 172.48/172.29 cnf(4039,plain,
% 172.48/172.29 (~P3(a111)),
% 172.48/172.29 inference(scs_inference,[],[753,393,401,434,557,660,4002,480,555,562,565,576,578,579,3982,737,3985,587,741,643,600,637,639,747,3911,3914,3923,606,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,397,389,477,743,396,733,387,466,596,382,2803,3917,3920,2805,2807,1947,4001,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3941,3651,3669,3805,3449,1964,3304,1923,2865,2179,2162,3787,3311,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318])).
% 172.48/172.29 cnf(4045,plain,
% 172.48/172.29 (P5(a109,f5(a109,f3(a109),f4(a109)),f3(a109))),
% 172.48/172.29 inference(scs_inference,[],[753,393,401,434,557,660,4002,480,555,562,565,576,578,579,3982,737,3985,587,4036,741,643,600,637,639,747,3911,3914,3923,606,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,397,389,477,743,409,396,413,733,387,466,596,518,382,2803,3917,3920,2805,2807,1947,4001,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,3331,3337,3327,2879,3988,1912,3941,3651,3669,3805,3449,1964,3304,1923,2865,2179,2162,3787,3311,2867,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518])).
% 172.48/172.29 cnf(4046,plain,
% 172.48/172.29 (P5(a109,f3(a109),f33(f33(f12(a109),x40461),x40461))),
% 172.48/172.29 inference(rename_variables,[],[2867])).
% 172.48/172.29 cnf(4049,plain,
% 172.48/172.29 (~P4(x40491,x40492,f6(f114(x40491,a1),f2(f114(f114(x40491,a1),a1))))),
% 172.48/172.29 inference(rename_variables,[],[3199])).
% 172.48/172.29 cnf(4050,plain,
% 172.48/172.29 (~P4(x40501,x40502,f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.29 inference(rename_variables,[],[1989])).
% 172.48/172.29 cnf(4052,plain,
% 172.48/172.29 (~P4(x40521,x40522,f16(f114(x40521,a1),f6(f114(x40521,a1),f2(f114(f114(x40521,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,393,401,434,570,557,660,4002,480,555,562,565,576,578,579,3982,737,3985,587,4036,741,643,600,637,639,747,3911,3914,3923,606,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,397,389,477,743,409,396,413,733,387,466,596,518,382,2803,3917,3920,2805,2807,1947,4001,3199,4049,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,3337,3327,2879,3988,1912,3941,3651,3669,3805,3449,1964,3304,1923,2865,2179,2162,3787,3311,2867,3144,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855])).
% 172.48/172.29 cnf(4053,plain,
% 172.48/172.29 (~P4(x40531,x40532,f6(f114(x40531,a1),f2(f114(f114(x40531,a1),a1))))),
% 172.48/172.29 inference(rename_variables,[],[3199])).
% 172.48/172.29 cnf(4054,plain,
% 172.48/172.29 (~P4(x40541,x40542,f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.29 inference(rename_variables,[],[1989])).
% 172.48/172.29 cnf(4057,plain,
% 172.48/172.29 (P5(a110,f3(a110),x40571)),
% 172.48/172.29 inference(rename_variables,[],[587])).
% 172.48/172.29 cnf(4058,plain,
% 172.48/172.29 (P5(a110,x40581,x40581)),
% 172.48/172.29 inference(rename_variables,[],[579])).
% 172.48/172.29 cnf(4061,plain,
% 172.48/172.29 (P5(a109,x40611,x40611)),
% 172.48/172.29 inference(rename_variables,[],[578])).
% 172.48/172.29 cnf(4062,plain,
% 172.48/172.29 (P5(a109,x40621,f29(a110,f22(x40621)))),
% 172.48/172.29 inference(rename_variables,[],[606])).
% 172.48/172.29 cnf(4065,plain,
% 172.48/172.29 (P5(a109,x40651,x40651)),
% 172.48/172.29 inference(rename_variables,[],[578])).
% 172.48/172.29 cnf(4066,plain,
% 172.48/172.29 (P5(a109,x40661,f29(a110,f22(x40661)))),
% 172.48/172.29 inference(rename_variables,[],[606])).
% 172.48/172.29 cnf(4069,plain,
% 172.48/172.29 (P5(a110,f3(a110),x40691)),
% 172.48/172.29 inference(rename_variables,[],[587])).
% 172.48/172.29 cnf(4070,plain,
% 172.48/172.29 (P5(a110,x40701,x40701)),
% 172.48/172.29 inference(rename_variables,[],[579])).
% 172.48/172.29 cnf(4071,plain,
% 172.48/172.29 (~E(x40711,f13(a109,f29(a110,f27(x40711)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[1916])).
% 172.48/172.29 cnf(4076,plain,
% 172.48/172.29 (P5(a110,x40761,f13(a110,x40762,x40761))),
% 172.48/172.29 inference(rename_variables,[],[637])).
% 172.48/172.29 cnf(4079,plain,
% 172.48/172.29 (P5(a110,x40791,f13(a110,x40792,x40791))),
% 172.48/172.29 inference(rename_variables,[],[637])).
% 172.48/172.29 cnf(4080,plain,
% 172.48/172.29 (~P5(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),x40801),x40801)),
% 172.48/172.29 inference(rename_variables,[],[2311])).
% 172.48/172.29 cnf(4082,plain,
% 172.48/172.29 (~P6(f114(f112(x40821),a1),f31(f112(x40821),f45(x40822,f2(f114(f112(x40821),a1)),f112(x40821)),x40823),f31(f112(x40821),f45(x40822,f2(f114(f112(x40821),a1)),f112(x40821)),f2(f114(f112(x40821),a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,587,4036,4057,741,643,3997,600,637,4076,639,747,3911,3914,3923,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,397,389,477,743,409,396,413,733,387,466,596,518,382,2803,3917,3920,2805,2807,1947,4001,3199,4049,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,1916,3337,3327,2879,3988,1912,3941,3651,3669,3447,3805,3449,1964,2311,3304,1923,2865,2179,2162,3787,3311,2867,3144,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830])).
% 172.48/172.29 cnf(4083,plain,
% 172.48/172.29 (P4(x40831,x40832,f31(x40831,x40832,x40833))),
% 172.48/172.29 inference(rename_variables,[],[643])).
% 172.48/172.29 cnf(4084,plain,
% 172.48/172.29 (~P4(x40841,x40842,f2(f114(x40841,a1)))),
% 172.48/172.29 inference(rename_variables,[],[747])).
% 172.48/172.29 cnf(4085,plain,
% 172.48/172.29 (~P6(f114(x40851,a1),x40852,f2(f114(x40851,a1)))),
% 172.48/172.29 inference(rename_variables,[],[748])).
% 172.48/172.29 cnf(4087,plain,
% 172.48/172.29 (P6(f114(f112(x40871),a1),f14(f114(f112(x40871),a1),f2(f114(f112(x40871),a1)),x40872),f31(f112(x40871),f41(x40873,f14(f114(f112(x40871),a1),f2(f114(f112(x40871),a1)),x40872),f112(x40871)),f14(f114(f112(x40871),a1),f2(f114(f112(x40871),a1)),x40872)))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,397,389,477,743,409,396,413,733,387,466,596,518,382,2803,3917,3920,2805,2807,1947,4001,3199,4049,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,1916,3337,3327,2879,3988,1912,3941,3651,3669,3447,3805,3449,1964,2311,3304,1923,2865,2179,2162,3787,3311,2867,3144,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559])).
% 172.48/172.29 cnf(4088,plain,
% 172.48/172.29 (~P4(x40881,x40882,f14(f114(x40881,a1),f2(f114(x40881,a1)),x40883))),
% 172.48/172.29 inference(rename_variables,[],[2803])).
% 172.48/172.29 cnf(4091,plain,
% 172.48/172.29 (P5(a110,x40911,f22(f13(a109,f29(a110,x40911),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,397,389,477,743,409,396,413,733,387,466,596,518,382,2803,3917,3920,2805,2807,1947,4001,3199,4049,3552,2100,3900,3903,2917,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,1916,3337,3327,2879,3988,1912,3941,3651,3669,3447,3805,3449,1964,2079,2311,3304,1923,2865,2179,2162,3787,3311,2867,3144,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934])).
% 172.48/172.29 cnf(4110,plain,
% 172.48/172.29 (P6(f114(x41101,a1),f5(f114(x41101,a1),f2(f114(x41101,a1)),x41102),f31(x41101,x41103,f2(f114(x41101,a1))))),
% 172.48/172.29 inference(rename_variables,[],[2184])).
% 172.48/172.29 cnf(4112,plain,
% 172.48/172.29 (P8(f2(a110),f2(a110),f2(a110),f101(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),f3(a110),f2(a110)),f102(f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1))),f2(a110),f3(a110),f2(a110)),f2(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,397,389,477,743,409,396,413,733,387,466,596,518,382,3309,3295,3252,2803,3917,3920,2805,2807,1947,4001,3199,4049,3552,2100,3900,3903,2917,2184,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3449,1964,2079,2311,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303])).
% 172.48/172.29 cnf(4119,plain,
% 172.48/172.29 (P6(f114(a109,a1),f14(f114(a109,a1),f31(a109,x41191,f2(f114(a109,a1))),f2(f114(a109,a1))),f31(a109,x41191,f2(f114(a109,a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,549,3309,3295,3252,2803,3917,3920,2805,2807,1947,4001,3199,4049,2194,3511,3552,2100,3900,3903,2917,2580,2184,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3449,1964,2079,2311,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302])).
% 172.48/172.29 cnf(4120,plain,
% 172.48/172.29 (~P5(f114(a109,a1),f31(a109,x41201,f2(f114(a109,a1))),f14(f114(a109,a1),x41202,f2(f114(a109,a1))))),
% 172.48/172.29 inference(rename_variables,[],[3511])).
% 172.48/172.29 cnf(4121,plain,
% 172.48/172.29 (P5(f114(x41211,a1),f14(f114(x41211,a1),x41212,x41213),x41212)),
% 172.48/172.29 inference(rename_variables,[],[660])).
% 172.48/172.29 cnf(4123,plain,
% 172.48/172.29 (~E(f5(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f3(a110))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,549,3309,3295,3252,2803,3917,3920,2805,2807,1947,4001,3199,4049,2194,3511,3552,2100,3900,3903,2917,2580,2184,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3479,3449,1964,2079,2311,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892])).
% 172.48/172.29 cnf(4127,plain,
% 172.48/172.29 (~E(f14(f114(a109,a1),x41271,f2(f114(a109,a1))),f31(a109,x41272,f2(f114(a109,a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,549,3309,3295,3252,2803,3917,3920,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,2580,2184,2825,2175,2290,3898,3926,3928,3930,3932,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3479,3449,1964,2079,2311,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868])).
% 172.48/172.29 cnf(4130,plain,
% 172.48/172.29 (P4(x41301,f62(f31(x41301,x41302,x41303),x41301),f31(x41301,x41302,x41303))),
% 172.48/172.29 inference(rename_variables,[],[2004])).
% 172.48/172.29 cnf(4137,plain,
% 172.48/172.29 (~P5(a110,f22(f13(a109,f29(a110,x41371),f4(a109))),x41371)),
% 172.48/172.29 inference(rename_variables,[],[2079])).
% 172.48/172.29 cnf(4143,plain,
% 172.48/172.29 (~P78(f33(f13(a110,f3(a110),f2(f114(x41431,a1))),x41432))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,549,2004,3309,3295,3252,2803,3917,3920,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2184,2825,2175,2290,3898,3926,3928,3930,3932,3934,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3479,3449,1964,2079,2311,3862,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896])).
% 172.48/172.29 cnf(4144,plain,
% 172.48/172.29 (E(x41441,f13(a110,f3(a110),x41441))),
% 172.48/172.29 inference(rename_variables,[],[2290])).
% 172.48/172.29 cnf(4146,plain,
% 172.48/172.29 (~P6(a109,f29(a110,x41461),f29(a110,f3(a110)))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,549,2004,3309,3295,3252,2803,3917,3920,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2184,2825,2175,2290,3898,3926,3928,3930,3932,3934,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3479,3449,1964,2079,2311,3862,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137])).
% 172.48/172.29 cnf(4150,plain,
% 172.48/172.29 (~P78(f33(f14(f114(x41501,a1),f2(f114(x41501,a1)),x41502),x41503))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,630,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2184,2825,2175,2290,3898,3926,3928,3930,3932,3934,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3479,3449,1964,2079,2311,3862,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922])).
% 172.48/172.29 cnf(4157,plain,
% 172.48/172.29 (P6(a110,x41571,f5(a110,f22(f13(a109,f29(a110,f13(a110,x41571,x41572)),f4(a109))),x41572))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,630,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,2825,2175,2290,3898,3926,3928,3930,3932,3934,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,3651,3669,3447,3805,3479,3449,1964,4037,2079,2311,3862,3304,1923,2865,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531])).
% 172.48/172.29 cnf(4158,plain,
% 172.48/172.29 (P6(a110,x41581,f22(f13(a109,f29(a110,x41581),f4(a109))))),
% 172.48/172.29 inference(rename_variables,[],[1964])).
% 172.48/172.29 cnf(4161,plain,
% 172.48/172.29 (~P6(a109,x41611,x41611)),
% 172.48/172.29 inference(rename_variables,[],[1912])).
% 172.48/172.29 cnf(4164,plain,
% 172.48/172.29 (~E(f13(a110,x41641,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x41641)),
% 172.48/172.29 inference(rename_variables,[],[3860])).
% 172.48/172.29 cnf(4167,plain,
% 172.48/172.29 (P6(a109,x41671,f13(a109,x41671,f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[2865])).
% 172.48/172.29 cnf(4170,plain,
% 172.48/172.29 (P6(a109,f3(a109),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,630,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,1964,4037,2079,2311,3862,3304,1923,2865,3976,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363])).
% 172.48/172.29 cnf(4171,plain,
% 172.48/172.29 (P6(a109,x41711,f13(a109,f29(a110,f27(x41711)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(4173,plain,
% 172.48/172.29 (P6(a109,f3(a109),f103(f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,630,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,4171,476,397,383,647,389,477,743,409,396,413,733,387,466,596,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,1964,4037,2079,2311,3862,3304,1923,2865,3976,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245])).
% 172.48/172.29 cnf(4174,plain,
% 172.48/172.29 (P6(a109,x41741,f13(a109,f29(a110,f27(x41741)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(4177,plain,
% 172.48/172.29 (P6(a109,x41771,f13(a109,f29(a110,f27(x41771)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(4179,plain,
% 172.48/172.29 (P5(a111,f14(a111,x41791,x41792),x41792)),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,630,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,476,397,383,414,647,389,477,743,409,396,413,733,387,466,596,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,1964,4037,2079,2311,3862,3304,1923,2865,3976,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239])).
% 172.48/172.29 cnf(4183,plain,
% 172.48/172.29 (P5(a111,x41831,f16(a111,x41831,x41832))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,630,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,476,397,383,414,647,389,477,743,409,396,413,733,387,466,596,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2879,3988,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,1964,4037,2079,2311,3862,3304,1923,2865,3976,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236])).
% 172.48/172.29 cnf(4191,plain,
% 172.48/172.29 (~E(f31(x41911,f2(f114(f114(x41912,a1),a1)),f31(x41911,f2(f114(f114(x41912,a1),a1)),f2(f114(x41911,a1)))),f31(x41911,x41913,f31(x41911,f30(x41912,x41914),f2(f114(x41911,a1)))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,393,401,434,570,557,660,4002,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,476,397,383,414,647,389,477,743,409,396,413,733,387,466,596,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2455,2879,3988,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,1964,4037,2079,2311,3862,3304,1923,2865,3976,3247,2179,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812])).
% 172.48/172.29 cnf(4194,plain,
% 172.48/172.29 (~E(f2(f114(x41941,a1)),f31(x41941,x41942,x41943))),
% 172.48/172.29 inference(rename_variables,[],[744])).
% 172.48/172.29 cnf(4210,plain,
% 172.48/172.29 (~P6(a109,f33(f33(f12(a109),f29(a110,x42101)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f33(f33(f12(a109),f3(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,570,557,660,4002,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,397,383,414,647,389,477,743,409,396,413,733,387,466,596,742,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,2311,3862,3304,1923,2865,3976,3247,2179,2284,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688])).
% 172.48/172.29 cnf(4211,plain,
% 172.48/172.29 (P6(a109,x42111,f13(a109,f29(a110,f27(x42111)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(4213,plain,
% 172.48/172.29 (~P6(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,570,557,660,4002,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,747,3911,3914,3923,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,397,383,414,647,389,477,743,409,396,413,733,387,466,596,742,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543])).
% 172.48/172.29 cnf(4221,plain,
% 172.48/172.29 (~P5(a110,f13(a110,f22(f13(a109,f29(a110,f5(a110,x42211,x42211)),f4(a109))),x42211),x42211)),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,570,557,660,4002,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,749,747,3911,3914,3923,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,397,383,414,647,389,477,743,409,396,413,733,387,466,603,596,742,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679])).
% 172.48/172.29 cnf(4222,plain,
% 172.48/172.29 (~P5(a110,f22(f13(a109,f29(a110,x42221),f4(a109))),x42221)),
% 172.48/172.29 inference(rename_variables,[],[2079])).
% 172.48/172.29 cnf(4224,plain,
% 172.48/172.29 (~P78(f33(f31(x42241,f30(x42242,x42243),f19(a109,f23(f114(a109,a1)),a113)),f2(f114(f114(x42242,a1),a1))))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,570,557,660,4002,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,749,747,3911,3914,3923,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,397,383,414,647,389,477,743,409,396,413,733,387,466,603,596,742,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558])).
% 172.48/172.29 cnf(4225,plain,
% 172.48/172.29 (~P78(f33(f19(a109,f23(f114(a109,a1)),a113),x42251))),
% 172.48/172.29 inference(rename_variables,[],[753])).
% 172.48/172.29 cnf(4229,plain,
% 172.48/172.29 (P78(f33(f19(a111,f23(f114(a111,a1)),f2(f114(a111,a1))),x42291))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,544,570,557,660,4002,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,749,747,3911,3914,3923,4084,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,751,397,383,414,647,389,477,743,409,396,413,733,387,466,603,596,742,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770])).
% 172.48/172.29 cnf(4230,plain,
% 172.48/172.29 (~P4(x42301,x42302,f2(f114(x42301,a1)))),
% 172.48/172.29 inference(rename_variables,[],[747])).
% 172.48/172.29 cnf(4240,plain,
% 172.48/172.29 (~P5(a111,f13(a111,f33(f33(f12(a111),f13(a111,f13(a111,f4(a111),x42401),x42401)),f13(a111,f13(a111,f4(a111),x42401),x42401)),f33(f33(f12(a111),x42402),x42402)),f3(a111))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,544,570,557,660,4002,4121,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,749,747,3911,3914,3923,4084,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,751,397,383,414,647,389,477,743,409,396,413,733,387,466,603,446,596,742,519,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820])).
% 172.48/172.29 cnf(4254,plain,
% 172.48/172.29 (~P6(a109,x42541,f13(a109,f33(f33(f12(a109),f5(a109,x42542,x42542)),x42543),x42541))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,544,570,557,660,4002,4121,630,745,480,555,562,565,748,576,578,3977,4061,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,749,747,3911,3914,3923,4084,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,751,397,383,414,647,389,477,743,409,396,413,733,387,502,466,503,603,446,596,742,519,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2273,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879])).
% 172.48/172.29 cnf(4256,plain,
% 172.48/172.29 (P5(a109,x42561,f13(a109,f33(f33(f12(a109),f5(a109,x42562,x42562)),x42563),x42561))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,544,570,557,660,4002,4121,630,745,480,555,562,565,748,576,578,3977,4061,4065,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,600,3998,637,4076,639,749,747,3911,3914,3923,4084,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,751,397,383,414,647,389,477,743,409,396,413,733,387,502,466,503,603,446,596,742,519,518,382,594,549,2004,3309,3295,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2273,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869])).
% 172.48/172.29 cnf(4257,plain,
% 172.48/172.29 (P5(a109,x42571,x42571)),
% 172.48/172.29 inference(rename_variables,[],[578])).
% 172.48/172.29 cnf(4261,plain,
% 172.48/172.29 (P5(a109,f16(a109,x42611,x42611),x42611)),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,544,570,557,660,4002,4121,630,745,480,555,562,565,748,576,578,3977,4061,4065,4257,579,3982,4058,4070,580,737,3985,491,587,4036,4057,741,643,3997,4083,600,3998,637,4076,639,749,747,3911,3914,3923,4084,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,476,751,397,383,414,647,389,477,743,409,396,413,733,387,502,466,503,603,446,407,596,742,519,518,382,594,549,2004,3309,3295,2083,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2273,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411])).
% 172.48/172.29 cnf(4264,plain,
% 172.48/172.29 (P4(x42641,x42642,f23(f114(x42641,a1)))),
% 172.48/172.29 inference(rename_variables,[],[615])).
% 172.48/172.29 cnf(4265,plain,
% 172.48/172.29 (P4(f114(x42651,a1),x42652,f30(x42651,x42652))),
% 172.48/172.29 inference(rename_variables,[],[610])).
% 172.48/172.29 cnf(4270,plain,
% 172.48/172.29 (P6(a109,x42701,f13(a109,f29(a110,f27(x42701)),f4(a109)))),
% 172.48/172.29 inference(rename_variables,[],[661])).
% 172.48/172.29 cnf(4273,plain,
% 172.48/172.29 (P5(a110,x42731,x42731)),
% 172.48/172.29 inference(rename_variables,[],[579])).
% 172.48/172.29 cnf(4275,plain,
% 172.48/172.29 (P5(a111,f13(a111,f33(f33(f12(a111),f5(a111,x42751,x42752)),x42753),x42754),f13(a111,f4(a111),f13(a111,f33(f33(f12(a111),f5(a111,x42751,x42752)),x42753),x42754)))),
% 172.48/172.29 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,544,570,557,660,4002,4121,630,745,480,555,562,565,748,576,578,3977,4061,4065,4257,579,3982,4058,4070,580,737,3985,491,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,639,749,615,747,3911,3914,3923,4084,605,606,4062,744,627,625,4005,679,410,384,398,445,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,476,751,397,383,610,414,647,389,477,743,409,396,413,508,733,387,502,466,503,603,446,444,407,596,742,519,518,382,594,549,2004,3309,3295,2083,3252,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,3327,2455,2879,3988,2071,3868,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2273,2162,3787,3311,2867,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434])).
% 172.48/172.29 cnf(4294,plain,
% 172.48/172.29 (P5(a109,f3(a109),f33(f33(f12(a109),x42941),x42941))),
% 172.48/172.29 inference(rename_variables,[],[2867])).
% 172.48/172.29 cnf(4301,plain,
% 172.48/172.29 (P5(a109,x43011,f29(a110,f22(x43011)))),
% 172.48/172.30 inference(rename_variables,[],[606])).
% 172.48/172.30 cnf(4302,plain,
% 172.48/172.30 (P5(a109,x43021,x43021)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4305,plain,
% 172.48/172.30 (P5(a110,x43051,x43051)),
% 172.48/172.30 inference(rename_variables,[],[579])).
% 172.48/172.30 cnf(4308,plain,
% 172.48/172.30 (P5(a110,x43081,x43081)),
% 172.48/172.30 inference(rename_variables,[],[579])).
% 172.48/172.30 cnf(4310,plain,
% 172.48/172.30 (P5(a111,f3(a111),f33(f33(f12(a111),f33(f33(f12(a111),f3(a111)),f3(a111))),f33(f33(f12(a111),f3(a111)),f3(a111))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,576,578,3977,4061,4065,4257,579,3982,4058,4070,4273,4305,580,737,3985,491,528,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2273,2162,3787,3741,3311,2867,4046,3777,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463])).
% 172.48/172.30 cnf(4314,plain,
% 172.48/172.30 (P5(a111,f3(a111),f33(f33(f12(a111),f13(a111,f3(a111),f3(a111))),f13(a111,f3(a111),f3(a111))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,576,578,3977,4061,4065,4257,579,3982,4058,4070,4273,4305,580,737,3985,491,528,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2273,2162,3787,3741,3311,3747,2867,4046,3777,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459])).
% 172.48/172.30 cnf(4321,plain,
% 172.48/172.30 (E(f33(f33(f12(a110),x43211),f4(a110)),x43211)),
% 172.48/172.30 inference(rename_variables,[],[575])).
% 172.48/172.30 cnf(4323,plain,
% 172.48/172.30 (~E(f33(f33(f24(a111),x43231),f27(f3(a109))),f3(a111))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,579,3982,4058,4070,4273,4305,580,737,3985,437,459,491,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969])).
% 172.48/172.30 cnf(4326,plain,
% 172.48/172.30 (P5(a110,x43261,f13(a110,x43262,x43261))),
% 172.48/172.30 inference(rename_variables,[],[637])).
% 172.48/172.30 cnf(4327,plain,
% 172.48/172.30 (P5(a110,x43271,x43271)),
% 172.48/172.30 inference(rename_variables,[],[579])).
% 172.48/172.30 cnf(4330,plain,
% 172.48/172.30 (P5(a109,x43301,x43301)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4332,plain,
% 172.48/172.30 (P6(a109,x43321,f13(a109,f29(a110,f27(x43321)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4333,plain,
% 172.48/172.30 (P6(a109,x43331,f13(a109,f29(a110,f27(x43331)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4337,plain,
% 172.48/172.30 (~P5(a111,f4(a111),f5(a111,f3(a111),f4(a111)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324])).
% 172.48/172.30 cnf(4345,plain,
% 172.48/172.30 (~P5(a109,f13(a109,f29(a110,f22(x43451)),f4(a109)),x43451)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019])).
% 172.48/172.30 cnf(4346,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,x43461),f4(a109))),x43461)),
% 172.48/172.30 inference(rename_variables,[],[2079])).
% 172.48/172.30 cnf(4348,plain,
% 172.48/172.30 (~P5(f114(x43481,a1),f31(x43481,x43482,x43483),f14(f114(x43481,a1),f2(f114(x43481,a1)),x43484))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425])).
% 172.48/172.30 cnf(4352,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f31(a109,x43521,f31(a109,x43522,f2(f114(a109,a1)))),f14(f114(a109,a1),x43523,f2(f114(a109,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490])).
% 172.48/172.30 cnf(4354,plain,
% 172.48/172.30 (~P17(f114(a109,a1))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959])).
% 172.48/172.30 cnf(4356,plain,
% 172.48/172.30 (~P5(f114(f114(x43561,a1),a1),f30(x43561,x43562),f2(f114(f114(x43561,a1),a1)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254])).
% 172.48/172.30 cnf(4358,plain,
% 172.48/172.30 (~P10(a111,f19(a109,f23(f114(a109,a1)),a113),x43581)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971])).
% 172.48/172.30 cnf(4367,plain,
% 172.48/172.30 (P5(a111,x43671,x43671)),
% 172.48/172.30 inference(rename_variables,[],[580])).
% 172.48/172.30 cnf(4371,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f16(f114(a109,a1),f31(a109,x43711,f2(f114(a109,a1))),x43712),f14(f114(a109,a1),x43713,f2(f114(a109,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362])).
% 172.48/172.30 cnf(4372,plain,
% 172.48/172.30 (P5(f114(x43721,a1),x43722,f16(f114(x43721,a1),x43722,x43723))),
% 172.48/172.30 inference(rename_variables,[],[657])).
% 172.48/172.30 cnf(4374,plain,
% 172.48/172.30 (P6(a109,f3(a109),f33(f33(f24(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),x43741))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260])).
% 172.48/172.30 cnf(4378,plain,
% 172.48/172.30 (~P13(a111,f23(f114(a111,a1)),f3(a111))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,424,476,751,397,383,610,414,647,389,477,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,1964,4037,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,2867,4046,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172])).
% 172.48/172.30 cnf(4381,plain,
% 172.48/172.30 (P6(a110,x43811,f22(f13(a109,f29(a110,x43811),f4(a109))))),
% 172.48/172.30 inference(rename_variables,[],[1964])).
% 172.48/172.30 cnf(4384,plain,
% 172.48/172.30 (P6(a109,x43841,f13(a109,f29(a110,f27(x43841)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4387,plain,
% 172.48/172.30 (P6(a109,x43871,f13(a109,f29(a110,f27(x43871)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4390,plain,
% 172.48/172.30 (P5(a109,f3(a109),f33(f33(f12(a109),x43901),x43901))),
% 172.48/172.30 inference(rename_variables,[],[2867])).
% 172.48/172.30 cnf(4399,plain,
% 172.48/172.30 (P5(a109,x43991,x43991)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4400,plain,
% 172.48/172.30 (P6(a109,x44001,f13(a109,f29(a110,f27(x44001)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4402,plain,
% 172.48/172.30 (~P6(a111,f33(f33(f24(a111),f13(a111,f4(a111),f4(a111))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f24(a111),f13(a111,f4(a111),f4(a111))),f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,4330,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,610,414,647,389,477,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3669,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991])).
% 172.48/172.30 cnf(4406,plain,
% 172.48/172.30 (~P5(a111,f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111)),f3(a111))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,4330,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,610,414,647,389,477,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2311,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217])).
% 172.48/172.30 cnf(4413,plain,
% 172.48/172.30 (P6(a110,f13(a110,x44131,f3(a110)),f13(a110,x44131,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,4330,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,610,414,647,389,477,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2311,2011,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416])).
% 172.48/172.30 cnf(4419,plain,
% 172.48/172.30 (~E(f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110)),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,513,536,544,570,557,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,4330,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,610,414,647,389,477,392,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2311,2011,3862,3304,1923,2865,3976,3247,2179,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910])).
% 172.48/172.30 cnf(4424,plain,
% 172.48/172.30 (P5(a109,f3(a109),f29(a110,x44241))),
% 172.48/172.30 inference(rename_variables,[],[603])).
% 172.48/172.30 cnf(4427,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x44271,f4(a109))))),x44271)),
% 172.48/172.30 inference(rename_variables,[],[2179])).
% 172.48/172.30 cnf(4428,plain,
% 172.48/172.30 (P5(a109,x44281,x44281)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4430,plain,
% 172.48/172.30 (~E(f13(a110,x44301,f30(x44302,x44303)),f13(a110,x44301,f2(f114(f114(x44302,a1),a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,555,562,565,657,748,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,610,414,647,389,477,392,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098])).
% 172.48/172.30 cnf(4435,plain,
% 172.48/172.30 (P5(a110,x44351,x44351)),
% 172.48/172.30 inference(rename_variables,[],[579])).
% 172.48/172.30 cnf(4439,plain,
% 172.48/172.30 (~P4(a109,f3(a109),f31(a109,f4(a109),f2(f114(a109,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,610,414,647,389,477,392,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524])).
% 172.48/172.30 cnf(4440,plain,
% 172.48/172.30 (P5(f114(x44401,a1),f2(f114(x44401,a1)),x44402)),
% 172.48/172.30 inference(rename_variables,[],[619])).
% 172.48/172.30 cnf(4442,plain,
% 172.48/172.30 (~P6(a111,f3(a111),f33(f33(f12(a111),f33(f33(f12(a110),f3(a111)),f4(a110))),f33(f33(f12(a110),f3(a111)),f4(a110))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,414,647,389,477,392,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271])).
% 172.48/172.30 cnf(4445,plain,
% 172.48/172.30 (~P6(a110,x44451,f13(a110,f33(f33(f12(a110),f5(a110,x44452,x44452)),x44453),x44451))),
% 172.48/172.30 inference(rename_variables,[],[2248])).
% 172.48/172.30 cnf(4446,plain,
% 172.48/172.30 (P5(a110,f3(a110),x44461)),
% 172.48/172.30 inference(rename_variables,[],[587])).
% 172.48/172.30 cnf(4448,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f6(f114(a109,a1),f30(a109,f31(a109,x44481,f2(f114(a109,a1))))),f14(f114(a109,a1),x44482,f2(f114(a109,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,3447,3805,3479,3449,3683,3655,1964,4037,4158,2079,4137,4222,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280])).
% 172.48/172.30 cnf(4449,plain,
% 172.48/172.30 (P4(f114(x44491,a1),x44492,f30(x44491,x44492))),
% 172.48/172.30 inference(rename_variables,[],[610])).
% 172.48/172.30 cnf(4450,plain,
% 172.48/172.30 (P3(f114(x44501,a1))),
% 172.48/172.30 inference(rename_variables,[],[2455])).
% 172.48/172.30 cnf(4452,plain,
% 172.48/172.30 (~P5(a110,f33(f33(f24(a110),f22(f13(a109,f29(a110,f4(a110)),f4(a109)))),f22(f13(a109,f29(a110,x44521),f4(a109)))),f33(f33(f24(a110),f22(f13(a109,f29(a110,f4(a110)),f4(a109)))),x44521))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742])).
% 172.48/172.30 cnf(4453,plain,
% 172.48/172.30 (P6(a110,x44531,f22(f13(a109,f29(a110,x44531),f4(a109))))),
% 172.48/172.30 inference(rename_variables,[],[1964])).
% 172.48/172.30 cnf(4455,plain,
% 172.48/172.30 (P6(f114(f114(a109,a1),a1),f2(f114(f114(a109,a1),a1)),f31(f114(a109,a1),f2(f114(a109,a1)),f31(f114(a109,a1),x44551,f31(f114(a109,a1),x44552,f2(f114(f114(a109,a1),a1))))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678])).
% 172.48/172.30 cnf(4457,plain,
% 172.48/172.30 (~P4(x44571,x44572,f2(f114(x44571,a1)))),
% 172.48/172.30 inference(rename_variables,[],[747])).
% 172.48/172.30 cnf(4460,plain,
% 172.48/172.30 (~E(f13(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),f3(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304])).
% 172.48/172.30 cnf(4461,plain,
% 172.48/172.30 (P5(a110,x44611,f13(a110,x44612,x44611))),
% 172.48/172.30 inference(rename_variables,[],[637])).
% 172.48/172.30 cnf(4462,plain,
% 172.48/172.30 (~E(f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),x44621),f3(a110))),
% 172.48/172.30 inference(rename_variables,[],[2481])).
% 172.48/172.30 cnf(4468,plain,
% 172.48/172.30 (P6(a110,x44681,f22(f13(a109,f29(a110,f13(a110,x44681,x44682)),f4(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308])).
% 172.48/172.30 cnf(4469,plain,
% 172.48/172.30 (P6(a110,x44691,f22(f13(a109,f29(a110,x44691),f4(a109))))),
% 172.48/172.30 inference(rename_variables,[],[1964])).
% 172.48/172.30 cnf(4471,plain,
% 172.48/172.30 (~P6(a109,f3(a109),f5(a109,f3(a109),f4(a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010])).
% 172.48/172.30 cnf(4473,plain,
% 172.48/172.30 (P6(a109,f5(a109,f3(a109),f4(a109)),f3(a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957])).
% 172.48/172.30 cnf(4475,plain,
% 172.48/172.30 (P6(a110,f3(a110),f13(a109,f3(a110),f4(a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939])).
% 172.48/172.30 cnf(4476,plain,
% 172.48/172.30 (~E(f13(a109,x44761,f4(a109)),x44761)),
% 172.48/172.30 inference(rename_variables,[],[2175])).
% 172.48/172.30 cnf(4477,plain,
% 172.48/172.30 (~P6(a110,x44771,f3(a110))),
% 172.48/172.30 inference(rename_variables,[],[741])).
% 172.48/172.30 cnf(4479,plain,
% 172.48/172.30 (~P6(a109,f13(a109,f29(a110,f27(f13(a109,f29(a110,f27(x44791)),f4(a109)))),f4(a109)),x44791)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165])).
% 172.48/172.30 cnf(4481,plain,
% 172.48/172.30 (P6(a109,f3(a109),f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430])).
% 172.48/172.30 cnf(4482,plain,
% 172.48/172.30 (P6(a109,x44821,f13(a109,f29(a110,f27(x44821)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4488,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,f13(a110,x44881,x44882)),f4(a109))),x44882)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195])).
% 172.48/172.30 cnf(4489,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,x44891),f4(a109))),x44891)),
% 172.48/172.30 inference(rename_variables,[],[2079])).
% 172.48/172.30 cnf(4491,plain,
% 172.48/172.30 (~P5(a110,f13(a110,x44911,f22(f13(a109,f29(a110,x44912),f4(a109)))),f13(a110,x44911,x44912))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658])).
% 172.48/172.30 cnf(4495,plain,
% 172.48/172.30 (P6(a110,f13(a110,f3(a110),f3(a110)),f13(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588])).
% 172.48/172.30 cnf(4498,plain,
% 172.48/172.30 (P6(f114(x44981,a1),f5(f114(x44981,a1),f2(f114(x44981,a1)),x44982),f31(x44981,x44983,f2(f114(x44981,a1))))),
% 172.48/172.30 inference(rename_variables,[],[2184])).
% 172.48/172.30 cnf(4504,plain,
% 172.48/172.30 (~P23(a110)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072])).
% 172.48/172.30 cnf(4505,plain,
% 172.48/172.30 (~E(f13(a110,x45051,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110))),
% 172.48/172.30 inference(rename_variables,[],[2483])).
% 172.48/172.30 cnf(4507,plain,
% 172.48/172.30 (P78(f33(f30(x45071,x45072),f59(f30(x45071,x45072))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832])).
% 172.48/172.30 cnf(4511,plain,
% 172.48/172.30 (E(f33(f33(f24(a109),f103(f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)))),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),f13(a109,f29(a110,f27(f3(a109))),f4(a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,737,3985,437,459,491,525,528,541,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282])).
% 172.48/172.30 cnf(4512,plain,
% 172.48/172.30 (P6(a109,x45121,f13(a109,f29(a110,f27(x45121)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4515,plain,
% 172.48/172.30 (P6(a109,x45151,f13(a109,f29(a110,f27(x45151)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4517,plain,
% 172.48/172.30 (E(f16(a111,x45171,x45171),x45171)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,4367,737,3985,437,459,491,525,528,541,542,587,4036,4057,4069,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018])).
% 172.48/172.30 cnf(4525,plain,
% 172.48/172.30 (~E(f14(f112(x45251),f22(f13(a109,f29(a110,f23(f112(x45251))),f4(a109))),x45252),f23(f112(x45251)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,4367,737,3985,437,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927])).
% 172.48/172.30 cnf(4531,plain,
% 172.48/172.30 (~E(f5(a110,f13(a109,f29(a110,f27(f3(a110))),f4(a109)),f3(a110)),f3(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,580,4367,737,3985,437,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083])).
% 172.48/172.30 cnf(4533,plain,
% 172.48/172.30 (~E(x45331,f13(a109,f29(a110,f27(x45331)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[1916])).
% 172.48/172.30 cnf(4536,plain,
% 172.48/172.30 (P5(f114(x45361,a1),f14(f114(x45361,a1),x45362,x45363),x45362)),
% 172.48/172.30 inference(rename_variables,[],[660])).
% 172.48/172.30 cnf(4539,plain,
% 172.48/172.30 (~E(f13(a110,x45391,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x45391)),
% 172.48/172.30 inference(rename_variables,[],[3860])).
% 172.48/172.30 cnf(4541,plain,
% 172.48/172.30 (~E(f13(a109,f33(f33(f12(a109),x45411),x45412),f13(a110,f13(a109,f33(f33(f12(a109),f5(a109,x45413,x45411)),x45412),x45414),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f13(a109,f33(f33(f12(a109),x45413),x45412),x45414))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831])).
% 172.48/172.30 cnf(4543,plain,
% 172.48/172.30 (~E(f5(a110,f13(a109,f3(a110),f4(a109)),f3(a110)),f5(a110,f3(a110),f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,3781,3546,2389,3337,2221,3327,3852,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402])).
% 172.48/172.30 cnf(4544,plain,
% 172.48/172.30 (P5(a110,f3(a110),x45441)),
% 172.48/172.30 inference(rename_variables,[],[587])).
% 172.48/172.30 cnf(4545,plain,
% 172.48/172.30 (P5(a110,x45451,x45451)),
% 172.48/172.30 inference(rename_variables,[],[579])).
% 172.48/172.30 cnf(4546,plain,
% 172.48/172.30 (~E(f13(a109,x45461,f4(a109)),x45461)),
% 172.48/172.30 inference(rename_variables,[],[2175])).
% 172.48/172.30 cnf(4549,plain,
% 172.48/172.30 (P5(a109,x45491,x45491)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4555,plain,
% 172.48/172.30 (~E(f13(a109,x45551,f4(a109)),x45551)),
% 172.48/172.30 inference(rename_variables,[],[2175])).
% 172.48/172.30 cnf(4557,plain,
% 172.48/172.30 (~P4(x45571,f30(x45572,x45573),f31(x45571,f2(f114(f114(x45572,a1),a1)),f2(f114(x45571,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329])).
% 172.48/172.30 cnf(4558,plain,
% 172.48/172.30 (~P4(x45581,x45582,f2(f114(x45581,a1)))),
% 172.48/172.30 inference(rename_variables,[],[747])).
% 172.48/172.30 cnf(4562,plain,
% 172.48/172.30 (~P5(a1,f13(a109,f2(a1),f4(a109)),f2(a1))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106])).
% 172.48/172.30 cnf(4563,plain,
% 172.48/172.30 (~E(f13(a109,x45631,f4(a109)),x45631)),
% 172.48/172.30 inference(rename_variables,[],[2175])).
% 172.48/172.30 cnf(4567,plain,
% 172.48/172.30 (~E(f13(a109,x45671,f4(a109)),x45671)),
% 172.48/172.30 inference(rename_variables,[],[2175])).
% 172.48/172.30 cnf(4570,plain,
% 172.48/172.30 (~E(f13(a109,f29(a110,f27(x45701)),f4(a109)),x45701)),
% 172.48/172.30 inference(rename_variables,[],[2098])).
% 172.48/172.30 cnf(4572,plain,
% 172.48/172.30 (P6(f112(x45721),f6(f112(x45721),f2(f114(f112(x45721),a1))),f13(a109,f29(a110,f27(f6(f112(x45721),f2(f114(f112(x45721),a1))))),f4(a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033])).
% 172.48/172.30 cnf(4574,plain,
% 172.48/172.30 (~P5(a111,f13(a111,x45741,f4(a111)),f13(a111,x45741,f3(a111)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675])).
% 172.48/172.30 cnf(4576,plain,
% 172.48/172.30 (~P6(a109,f3(a110),f2(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,2073,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883])).
% 172.48/172.30 cnf(4580,plain,
% 172.48/172.30 (~P5(a110,f22(f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f4(a109),f4(a109)))))),f4(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047])).
% 172.48/172.30 cnf(4581,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x45811,f4(a109))))),x45811)),
% 172.48/172.30 inference(rename_variables,[],[2179])).
% 172.48/172.30 cnf(4584,plain,
% 172.48/172.30 (E(f13(a110,x45841,f81(x45841,x45841)),x45841)),
% 172.48/172.30 inference(rename_variables,[],[3028])).
% 172.48/172.30 cnf(4586,plain,
% 172.48/172.30 (P6(a110,f3(a110),f13(a110,f27(f3(a109)),f4(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102])).
% 172.48/172.30 cnf(4593,plain,
% 172.48/172.30 (~P5(a110,f13(a110,f27(f3(a109)),f4(a110)),f27(f3(a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,3781,3546,2389,3337,2221,3327,3852,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3523,3777,3144,3578,2461,2899,2907,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435])).
% 172.48/172.30 cnf(4602,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,x46021),f4(a109))),x46021)),
% 172.48/172.30 inference(rename_variables,[],[2079])).
% 172.48/172.30 cnf(4609,plain,
% 172.48/172.30 (~P10(a109,f18(x46091,a113,f23(f114(x46091,a1))),f47(a115,a113,a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,3781,3546,2389,3337,2221,3327,3852,2279,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356])).
% 172.48/172.30 cnf(4610,plain,
% 172.48/172.30 (E(f18(x46101,x46102,f23(f114(x46101,a1))),x46102)),
% 172.48/172.30 inference(rename_variables,[],[616])).
% 172.48/172.30 cnf(4611,plain,
% 172.48/172.30 (P9(f2(a110),x46111,f31(f3(a110),f2(a110),f2(f114(f3(a110),a1))),f3(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,2377,3781,3546,2389,3337,2221,3327,3852,2279,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345])).
% 172.48/172.30 cnf(4613,plain,
% 172.48/172.30 (~P23(f18(x46131,a110,f23(f114(x46131,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,4610,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,2377,3781,3546,2389,3337,2221,3327,3852,2279,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344])).
% 172.48/172.30 cnf(4614,plain,
% 172.48/172.30 (~P33(f18(x46141,a110,f23(f114(x46141,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,4610,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,2923,1989,4050,3331,3248,1916,4071,4533,2098,2377,3781,3546,2389,3337,2221,3327,3852,2279,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339])).
% 172.48/172.30 cnf(4616,plain,
% 172.48/172.30 (E(f5(f114(x46161,a1),x46162,x46162),f2(f114(x46161,a1)))),
% 172.48/172.30 inference(rename_variables,[],[611])).
% 172.48/172.30 cnf(4617,plain,
% 172.48/172.30 (P14(a110,f13(a110,f3(a110),f33(f12(a110),f3(a110))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,4610,611,575,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2389,3337,2221,3327,3852,2279,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321])).
% 172.48/172.30 cnf(4620,plain,
% 172.48/172.30 (~P8(x46201,x46202,x46203,f4(a109),f2(f114(x46201,a1)),f33(f33(f12(a110),f3(a109)),f4(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,4610,611,575,4321,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306])).
% 172.48/172.30 cnf(4621,plain,
% 172.48/172.30 (~P8(x46211,x46212,x46213,f4(a109),f5(f114(x46211,a1),x46214,x46214),f3(a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,4610,611,4616,575,4321,576,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305])).
% 172.48/172.30 cnf(4623,plain,
% 172.48/172.30 (~P13(f22(f29(a110,a109)),f5(f114(x46231,a1),f23(f114(a109,a1)),f2(f114(x46231,a1))),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x46232,x46232)),x46233),f4(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,4610,611,4616,575,4321,576,4026,620,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298])).
% 172.48/172.30 cnf(4624,plain,
% 172.48/172.30 (E(f5(f114(x46241,a1),x46242,f2(f114(x46241,a1))),x46242)),
% 172.48/172.30 inference(rename_variables,[],[620])).
% 172.48/172.30 cnf(4626,plain,
% 172.48/172.30 (E(f5(f114(x46261,a1),x46262,f2(f114(x46261,a1))),x46262)),
% 172.48/172.30 inference(rename_variables,[],[620])).
% 172.48/172.30 cnf(4627,plain,
% 172.48/172.30 (~P17(f5(f114(x46271,a1),f114(a109,a1),f2(f114(x46271,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,619,4440,552,599,593,616,4610,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293])).
% 172.48/172.30 cnf(4629,plain,
% 172.48/172.30 (E(f18(x46291,x46292,f23(f114(x46291,a1))),x46292)),
% 172.48/172.30 inference(rename_variables,[],[616])).
% 172.48/172.30 cnf(4630,plain,
% 172.48/172.30 (~P6(f114(x46301,a1),x46302,f18(x46303,f2(f114(x46301,a1)),f23(f114(x46303,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288])).
% 172.48/172.30 cnf(4631,plain,
% 172.48/172.30 (E(f18(x46311,x46312,f23(f114(x46311,a1))),x46312)),
% 172.48/172.30 inference(rename_variables,[],[616])).
% 172.48/172.30 cnf(4633,plain,
% 172.48/172.30 (E(f18(x46331,x46332,f23(f114(x46331,a1))),x46332)),
% 172.48/172.30 inference(rename_variables,[],[616])).
% 172.48/172.30 cnf(4634,plain,
% 172.48/172.30 (~P3(f18(x46341,a109,f23(f114(x46341,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284])).
% 172.48/172.30 cnf(4635,plain,
% 172.48/172.30 (~P4(x46351,x46352,f5(f114(x46351,a1),x46353,x46353))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283])).
% 172.48/172.30 cnf(4641,plain,
% 172.48/172.30 (~E(f13(a109,x46411,f4(a109)),x46411)),
% 172.48/172.30 inference(rename_variables,[],[2175])).
% 172.48/172.30 cnf(4645,plain,
% 172.48/172.30 (P5(a111,x46451,f16(a111,x46452,x46451))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3717,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235])).
% 172.48/172.30 cnf(4647,plain,
% 172.48/172.30 (P6(f112(x46471),f6(f112(x46471),f2(f114(f112(x46471),a1))),f16(f112(x46471),x46472,f13(a109,f29(a110,f27(f6(f112(x46471),f2(f114(f112(x46471),a1))))),f4(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3717,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233])).
% 172.48/172.30 cnf(4649,plain,
% 172.48/172.30 (P5(f112(x46491),f62(f31(f112(x46491),x46492,x46493),f112(x46491)),f6(f112(x46491),f31(f112(x46491),x46492,x46493)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,4130,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3717,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079])).
% 172.48/172.30 cnf(4651,plain,
% 172.48/172.30 (~E(f31(x46511,f30(x46512,x46513),f31(x46511,f31(f114(x46512,a1),x46514,x46515),f2(f114(x46511,a1)))),f31(x46511,x46516,f31(x46511,f2(f114(f114(x46512,a1),a1)),f2(f114(x46511,a1)))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,4130,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3717,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811])).
% 172.48/172.30 cnf(4652,plain,
% 172.48/172.30 (~E(f2(f114(x46521,a1)),f31(x46521,x46522,x46523))),
% 172.48/172.30 inference(rename_variables,[],[744])).
% 172.48/172.30 cnf(4656,plain,
% 172.48/172.30 (~P78(f33(f19(a111,f2(f114(a111,a1)),x46561),x46562))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,4130,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3717,3455,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604])).
% 172.48/172.30 cnf(4660,plain,
% 172.48/172.30 (~P5(a110,f13(a110,f13(a110,x46601,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x46602),x46602)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,4130,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590])).
% 172.48/172.30 cnf(4661,plain,
% 172.48/172.30 (P5(a110,x46611,f13(a110,x46612,x46611))),
% 172.48/172.30 inference(rename_variables,[],[637])).
% 172.48/172.30 cnf(4662,plain,
% 172.48/172.30 (~P5(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),x46621),x46621)),
% 172.48/172.30 inference(rename_variables,[],[2311])).
% 172.48/172.30 cnf(4670,plain,
% 172.48/172.30 (P12(f112(x46701),f6(f112(x46701),f14(f114(f112(x46701),a1),f2(f114(f112(x46701),a1)),x46702)),x46703)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335])).
% 172.48/172.30 cnf(4672,plain,
% 172.48/172.30 (P13(f112(x46721),f6(f114(f112(x46721),a1),f2(f114(f114(f112(x46721),a1),a1))),x46722)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,580,4367,737,3985,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159])).
% 172.48/172.30 cnf(4682,plain,
% 172.48/172.30 (P4(f114(a109,a1),f2(f114(a109,a1)),f6(f114(f114(a109,a1),a1),f30(f114(a109,a1),f30(a109,x46821))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400])).
% 172.48/172.30 cnf(4694,plain,
% 172.48/172.30 (P7(a111,x46941,f12(a110),f3(a109),f5(f114(a111,a1),x46942,x46942),f33(f33(f12(a110),f3(a109)),f4(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890])).
% 172.48/172.30 cnf(4695,plain,
% 172.48/172.30 (E(f33(f33(f12(a110),x46951),f4(a110)),x46951)),
% 172.48/172.30 inference(rename_variables,[],[575])).
% 172.48/172.30 cnf(4696,plain,
% 172.48/172.30 (E(f5(f114(x46961,a1),x46962,x46962),f2(f114(x46961,a1)))),
% 172.48/172.30 inference(rename_variables,[],[611])).
% 172.48/172.30 cnf(4699,plain,
% 172.48/172.30 (P5(a110,x46991,x46991)),
% 172.48/172.30 inference(rename_variables,[],[579])).
% 172.48/172.30 cnf(4705,plain,
% 172.48/172.30 (P5(a110,f3(a110),x47051)),
% 172.48/172.30 inference(rename_variables,[],[587])).
% 172.48/172.30 cnf(4709,plain,
% 172.48/172.30 (P5(a109,f33(f33(f12(a109),f28(f4(a109))),f28(f4(a109))),f3(a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,4662,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,3548,3787,3741,3311,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390])).
% 172.48/172.30 cnf(4716,plain,
% 172.48/172.30 (~P78(f33(f16(f114(x47161,a1),f36(f4(a109)),f36(f4(a109))),f78(f36(f4(a109)),f30(x47162,f3(a109)),x47163,f114(x47162,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,4662,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758])).
% 172.48/172.30 cnf(4718,plain,
% 172.48/172.30 (P6(a111,f33(f33(f24(a111),f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111))),x47181),f33(f33(f12(a111),f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111))),f33(f33(f24(a111),f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111))),x47181)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2311,4080,4662,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754])).
% 172.48/172.30 cnf(4723,plain,
% 172.48/172.30 (P5(a110,x47231,x47231)),
% 172.48/172.30 inference(rename_variables,[],[579])).
% 172.48/172.30 cnf(4726,plain,
% 172.48/172.30 (P6(a110,f13(a110,f33(f33(f12(a110),x47261),x47262),f33(f33(f12(a110),f5(a110,x47261,x47261)),x47262)),f13(a110,f33(f33(f12(a110),x47261),x47262),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2165,2311,4080,4662,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875])).
% 172.48/172.30 cnf(4739,plain,
% 172.48/172.30 (~P6(a109,f13(a109,f33(f33(f12(a109),f5(a109,x47391,x47391)),x47392),x47393),x47393)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881])).
% 172.48/172.30 cnf(4741,plain,
% 172.48/172.30 (~P5(a111,f13(a111,f33(f33(f12(a111),f4(a111)),f3(a111)),f3(a111)),f13(a111,f33(f33(f12(a111),f13(a111,f4(a111),f4(a111))),f3(a111)),f13(a111,f33(f33(f12(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f4(a111)),f3(a111))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871])).
% 172.48/172.30 cnf(4747,plain,
% 172.48/172.30 (~P12(a111,f4(a111),f31(a111,f3(a111),x47471))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176])).
% 172.48/172.30 cnf(4751,plain,
% 172.48/172.30 (E(x47511,f13(a110,f33(f33(f12(a110),f5(a110,x47512,x47512)),x47513),x47511))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966])).
% 172.48/172.30 cnf(4754,plain,
% 172.48/172.30 (~P6(a111,f13(a111,f33(f33(f12(a111),f13(a111,f4(a111),f4(a111))),f4(a111)),f3(a111)),f3(a111))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799])).
% 172.48/172.30 cnf(4755,plain,
% 172.48/172.30 (P5(a111,x47551,x47551)),
% 172.48/172.30 inference(rename_variables,[],[580])).
% 172.48/172.30 cnf(4759,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f31(a109,x47591,x47592),f7(f114(a109,a1),f30(a109,x47593)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279])).
% 172.48/172.30 cnf(4761,plain,
% 172.48/172.30 (P4(f114(x47611,a1),f2(f114(x47611,a1)),f30(x47611,x47612))),
% 172.48/172.30 inference(rename_variables,[],[630])).
% 172.48/172.30 cnf(4762,plain,
% 172.48/172.30 (P3(f114(x47621,a1))),
% 172.48/172.30 inference(rename_variables,[],[2455])).
% 172.48/172.30 cnf(4765,plain,
% 172.48/172.30 (P4(x47651,x47652,f23(f114(x47651,a1)))),
% 172.48/172.30 inference(rename_variables,[],[615])).
% 172.48/172.30 cnf(4767,plain,
% 172.48/172.30 (P78(f33(f19(a109,f23(f114(a109,a1)),f14(f114(x47671,a1),f2(f114(a109,a1)),f2(f114(a109,a1)))),x47672))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577])).
% 172.48/172.30 cnf(4769,plain,
% 172.48/172.30 (~P6(a110,f33(f33(f24(a110),f22(f13(a109,f29(a110,f4(a110)),f4(a109)))),x47691),f33(f33(f24(a110),f22(f13(a109,f29(a110,f4(a110)),f4(a109)))),f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740])).
% 172.48/172.30 cnf(4770,plain,
% 172.48/172.30 (P6(a110,x47701,f22(f13(a109,f29(a110,x47701),f4(a109))))),
% 172.48/172.30 inference(rename_variables,[],[1964])).
% 172.48/172.30 cnf(4774,plain,
% 172.48/172.30 (~P6(a109,f33(f33(f12(a109),f3(a109)),x47741),f33(f33(f12(a109),f29(a110,f27(f3(a109)))),x47741))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706])).
% 172.48/172.30 cnf(4775,plain,
% 172.48/172.30 (~P6(a109,f29(a110,x47751),f3(a109))),
% 172.48/172.30 inference(rename_variables,[],[742])).
% 172.48/172.30 cnf(4778,plain,
% 172.48/172.30 (~P6(a109,f29(a110,x47781),f3(a109))),
% 172.48/172.30 inference(rename_variables,[],[742])).
% 172.48/172.30 cnf(4780,plain,
% 172.48/172.30 (~P6(a111,f33(f33(f24(a111),f4(a111)),x47801),f33(f33(f24(a111),f3(a111)),x47801))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,4775,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748])).
% 172.48/172.30 cnf(4782,plain,
% 172.48/172.30 (~P6(a109,f33(f33(f12(a109),f3(a109)),f29(a110,x47821)),f33(f33(f12(a109),f3(a109)),f3(a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,3359,3523,3777,3144,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747])).
% 172.48/172.30 cnf(4800,plain,
% 172.48/172.30 (P5(a109,x48001,f29(a110,f22(x48001)))),
% 172.48/172.30 inference(rename_variables,[],[606])).
% 172.48/172.30 cnf(4801,plain,
% 172.48/172.30 (P5(a109,x48011,x48011)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4810,plain,
% 172.48/172.30 (P6(a109,x48101,f13(a109,f29(a110,f27(x48101)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4816,plain,
% 172.48/172.30 (~P6(a111,f33(f33(f12(a111),f3(a111)),x48161),f33(f33(f12(a111),f3(a111)),x48162))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723])).
% 172.48/172.30 cnf(4818,plain,
% 172.48/172.30 (~P6(a109,f13(a109,f13(a109,f4(a109),f29(a110,x48181)),f29(a110,x48181)),f3(a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3295,3292,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802])).
% 172.48/172.30 cnf(4822,plain,
% 172.48/172.30 (~E(f33(f33(f24(f13(a110,f3(a110),a109)),f13(a109,f3(f13(a110,f3(a110),a109)),f4(a109))),x48221),f3(f13(a110,f3(a110),a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968])).
% 172.48/172.30 cnf(4824,plain,
% 172.48/172.30 (~P6(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x48241,f4(a109))))),x48241)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,4581,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985])).
% 172.48/172.30 cnf(4826,plain,
% 172.48/172.30 (P5(a109,x48261,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x48261,f4(a109))))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,2865,3976,3247,2179,4033,4427,4581,2073,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933])).
% 172.48/172.30 cnf(4831,plain,
% 172.48/172.30 (P6(a111,f5(a111,x48311,f4(a111)),x48311)),
% 172.48/172.30 inference(rename_variables,[],[1926])).
% 172.48/172.30 cnf(4848,plain,
% 172.48/172.30 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f29(a110,x48481),f4(a109)))),x48481)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108])).
% 172.48/172.30 cnf(4849,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x48491,f4(a109))))),x48491)),
% 172.48/172.30 inference(rename_variables,[],[2179])).
% 172.48/172.30 cnf(4853,plain,
% 172.48/172.30 (~P5(a109,f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f3(a109),f4(a109))),f3(a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020])).
% 172.48/172.30 cnf(4857,plain,
% 172.48/172.30 (P9(f2(a110),x48571,f31(f2(a110),f2(a110),f31(f2(a110),f2(a110),f2(f114(f2(a110),a1)))),f3(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348])).
% 172.48/172.30 cnf(4858,plain,
% 172.48/172.30 (~P5(a111,f33(f33(f12(a110),f4(a111)),f4(a110)),f3(a111))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291])).
% 172.48/172.30 cnf(4859,plain,
% 172.48/172.30 (E(f33(f33(f12(a110),x48591),f4(a110)),x48591)),
% 172.48/172.30 inference(rename_variables,[],[575])).
% 172.48/172.30 cnf(4860,plain,
% 172.48/172.30 (~P6(a111,f3(a111),f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095])).
% 172.48/172.30 cnf(4862,plain,
% 172.48/172.30 (~P6(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f33(f33(f12(a111),f3(a111)),f3(a111)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091])).
% 172.48/172.30 cnf(4866,plain,
% 172.48/172.30 (~P6(a1,f3(a110),f2(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911])).
% 172.48/172.30 cnf(4868,plain,
% 172.48/172.30 (P6(f112(x48681),f14(f112(x48681),f6(f112(x48681),f2(f114(f112(x48681),a1))),x48682),f13(a109,f29(a110,f27(f6(f112(x48681),f2(f114(f112(x48681),a1))))),f4(a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238])).
% 172.48/172.30 cnf(4870,plain,
% 172.48/172.30 (P4(f114(x48701,a1),f2(f114(x48701,a1)),f14(f114(f114(x48701,a1),a1),f30(x48701,x48702),f30(x48701,x48702)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498])).
% 172.48/172.30 cnf(4872,plain,
% 172.48/172.30 (~P78(f33(f14(f114(x48721,a1),f19(a109,f23(f114(a109,a1)),a113),x48722),x48723))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124])).
% 172.48/172.30 cnf(4882,plain,
% 172.48/172.30 (P5(a110,f3(a110),x48821)),
% 172.48/172.30 inference(rename_variables,[],[587])).
% 172.48/172.30 cnf(4886,plain,
% 172.48/172.30 (P5(a109,x48861,f14(a109,x48861,x48861))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408])).
% 172.48/172.30 cnf(4891,plain,
% 172.48/172.30 (P5(a111,x48911,x48911)),
% 172.48/172.30 inference(rename_variables,[],[580])).
% 172.48/172.30 cnf(4893,plain,
% 172.48/172.30 (~E(f13(a110,f13(a110,f3(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f13(a110,f3(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f3(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303])).
% 172.48/172.30 cnf(4897,plain,
% 172.48/172.30 (P6(a109,f33(f33(f12(a109),f3(a109)),f29(a110,f27(f3(a109)))),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f13(a109,f29(a110,f27(f29(a110,f27(f3(a109))))),f4(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777])).
% 172.48/172.30 cnf(4898,plain,
% 172.48/172.30 (P5(a109,x48981,x48981)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4899,plain,
% 172.48/172.30 (P6(a109,x48991,f13(a109,f29(a110,f27(x48991)),f4(a109)))),
% 172.48/172.30 inference(rename_variables,[],[661])).
% 172.48/172.30 cnf(4901,plain,
% 172.48/172.30 (P5(a109,f3(a109),f29(a110,x49011))),
% 172.48/172.30 inference(rename_variables,[],[603])).
% 172.48/172.30 cnf(4903,plain,
% 172.48/172.30 (~E(f3(a110),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888])).
% 172.48/172.30 cnf(4905,plain,
% 172.48/172.30 (~E(f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),x49051),x49051)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783])).
% 172.48/172.30 cnf(4909,plain,
% 172.48/172.30 (~P1(a110)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810])).
% 172.48/172.30 cnf(4910,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,x49101),f4(a109))),x49101)),
% 172.48/172.30 inference(rename_variables,[],[2079])).
% 172.48/172.30 cnf(4915,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x49151,f4(a109))))),x49151)),
% 172.48/172.30 inference(rename_variables,[],[2179])).
% 172.48/172.30 cnf(4917,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f22(f13(a109,f29(a110,f27(x49171)),f4(a109)))),x49171)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084])).
% 172.48/172.30 cnf(4918,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,x49181),f4(a109))),x49181)),
% 172.48/172.30 inference(rename_variables,[],[2079])).
% 172.48/172.30 cnf(4920,plain,
% 172.48/172.30 (P6(a110,x49201,f22(f13(a109,f29(a110,f13(a110,f3(a110),x49201)),f4(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,3701,2248,4445,2165,2311,4080,4662,2325,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320])).
% 172.48/172.30 cnf(4924,plain,
% 172.48/172.30 (P78(f33(f31(a109,x49241,f2(f114(a109,a1))),f75(a109,f14(f114(a109,a1),x49242,f2(f114(a109,a1))),f31(a109,x49241,f2(f114(a109,a1))))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,3701,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358])).
% 172.48/172.30 cnf(4926,plain,
% 172.48/172.30 (P5(a1,f3(a110),f2(a110))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,3701,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802])).
% 172.48/172.30 cnf(4934,plain,
% 172.48/172.30 (P6(a110,f13(a110,f33(f33(f12(a110),x49341),x49342),x49343),f13(a110,f33(f33(f12(a110),x49341),x49342),f27(f29(a110,f13(a110,f13(a110,f33(f33(f12(a110),f5(a110,x49341,x49341)),x49342),x49343),f4(a110))))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877])).
% 172.48/172.30 cnf(4938,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,x49381),f4(a109))),x49381)),
% 172.48/172.30 inference(rename_variables,[],[2079])).
% 172.48/172.30 cnf(4944,plain,
% 172.48/172.30 (~P5(a110,f22(f13(a109,f29(a110,x49441),f4(a109))),x49441)),
% 172.48/172.30 inference(rename_variables,[],[2079])).
% 172.48/172.30 cnf(4950,plain,
% 172.48/172.30 (~P6(a109,f13(a109,f29(a110,f27(f16(a109,x49501,x49502))),f4(a109)),x49501)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012])).
% 172.48/172.30 cnf(4956,plain,
% 172.48/172.30 (~P6(f114(x49561,a1),f19(a109,f23(f114(a109,a1)),a113),f14(f114(x49561,a1),f19(a109,f23(f114(a109,a1)),a113),x49562))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249])).
% 172.48/172.30 cnf(4957,plain,
% 172.48/172.30 (P5(f114(x49571,a1),f14(f114(x49571,a1),x49572,x49573),x49572)),
% 172.48/172.30 inference(rename_variables,[],[660])).
% 172.48/172.30 cnf(4959,plain,
% 172.48/172.30 (P6(a109,x49591,f13(a109,f3(a109),f13(a109,f29(a110,f27(x49591)),f4(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431])).
% 172.48/172.30 cnf(4960,plain,
% 172.48/172.30 (P5(a109,x49601,x49601)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(4968,plain,
% 172.48/172.30 (~E(f29(a110,f27(f13(a109,x49681,f4(a109)))),x49681)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15])).
% 172.48/172.30 cnf(4969,plain,
% 172.48/172.30 (~E(f13(a109,f29(a110,f27(x49691)),f4(a109)),x49691)),
% 172.48/172.30 inference(rename_variables,[],[2098])).
% 172.48/172.30 cnf(4971,plain,
% 172.48/172.30 (P78(f33(f31(x49711,x49712,x49713),f60(f31(x49711,x49712,x49713))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833])).
% 172.48/172.30 cnf(4973,plain,
% 172.48/172.30 (~E(f19(a109,f23(f114(a109,a1)),a113),f31(x49731,x49732,x49733))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3])).
% 172.48/172.30 cnf(4979,plain,
% 172.48/172.30 (P5(f114(x49791,a1),x49792,f16(f114(x49791,a1),x49792,x49793))),
% 172.48/172.30 inference(rename_variables,[],[657])).
% 172.48/172.30 cnf(4984,plain,
% 172.48/172.30 (E(f14(a110,x49841,f13(a110,x49842,x49841)),x49841)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3807,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015])).
% 172.48/172.30 cnf(4986,plain,
% 172.48/172.30 (E(f5(f13(a110,f3(a110),a109),f3(a110),f2(a110)),f3(f13(a110,f3(a110),a109)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2445,2455,4450,2879,3988,2071,2335,3868,3832,1912,3941,4011,4161,3807,3816,3651,3339,3669,2863,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824])).
% 172.48/172.30 cnf(5000,plain,
% 172.48/172.30 (~E(f14(f114(f114(a109,a1),a1),f6(f114(f114(a109,a1),a1),f30(f114(a109,a1),f30(a109,f3(a110)))),f23(f114(f114(a109,a1),a1))),f2(f114(f114(a109,a1),a1)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,4969,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2445,2455,4450,2879,3988,3991,2071,2335,3868,3832,1912,3941,4011,4161,3807,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685])).
% 172.48/172.30 cnf(5007,plain,
% 172.48/172.30 (~E(f13(a109,f33(f33(f12(a109),x50071),x50072),f4(a109)),f13(a109,f33(f33(f12(a109),x50073),x50072),f13(a109,f33(f33(f12(a109),f5(a109,x50071,x50073)),x50072),f3(a109))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,625,4005,679,410,478,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,4969,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2445,2455,4450,2879,3988,3991,3423,2071,2335,3868,3832,1912,3941,4011,4161,3807,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832])).
% 172.48/172.30 cnf(5012,plain,
% 172.48/172.30 (P5(a109,x50121,x50121)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(5023,plain,
% 172.48/172.30 (~E(f5(a110,f13(a109,f13(a110,x50231,f3(a110)),f4(a109)),f3(a110)),x50231)),
% 172.48/172.30 inference(rename_variables,[],[2209])).
% 172.48/172.30 cnf(5025,plain,
% 172.48/172.30 (~P6(a111,f33(f33(f12(a111),f13(a111,f4(a111),f3(a111))),f13(a111,f4(a111),f3(a111))),f33(f33(f12(a111),f13(a111,f4(a111),f3(a111))),f3(a111)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089])).
% 172.48/172.30 cnf(5027,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f96(f3(a109))),f3(a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,611,4616,575,4321,4695,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073])).
% 172.48/172.30 cnf(5028,plain,
% 172.48/172.30 (P5(a109,f3(a109),f29(a110,x50281))),
% 172.48/172.30 inference(rename_variables,[],[603])).
% 172.48/172.30 cnf(5035,plain,
% 172.48/172.30 (E(f33(f33(f12(a110),x50351),f4(a110)),x50351)),
% 172.48/172.30 inference(rename_variables,[],[575])).
% 172.48/172.30 cnf(5038,plain,
% 172.48/172.30 (E(f18(x50381,x50382,f23(f114(x50381,a1))),x50382)),
% 172.48/172.30 inference(rename_variables,[],[616])).
% 172.48/172.30 cnf(5039,plain,
% 172.48/172.30 (~P24(f18(x50391,f114(x50392,a1),f23(f114(x50391,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,575,4321,4695,4859,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349])).
% 172.48/172.30 cnf(5041,plain,
% 172.48/172.30 (E(f33(f33(f12(a110),x50411),f4(a110)),x50411)),
% 172.48/172.30 inference(rename_variables,[],[575])).
% 172.48/172.30 cnf(5043,plain,
% 172.48/172.30 (E(f33(f33(f12(a110),x50431),f4(a110)),x50431)),
% 172.48/172.30 inference(rename_variables,[],[575])).
% 172.48/172.30 cnf(5044,plain,
% 172.48/172.30 (~P12(f33(f33(f12(a110),a109),f4(a110)),f47(a115,a113,a109),f5(a110,f13(a110,x50441,a113),x50441))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,575,4321,4695,4859,5035,5041,5043,576,4026,672,620,4624,4626,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310])).
% 172.48/172.30 cnf(5045,plain,
% 172.48/172.30 (E(f33(f33(f12(a110),x50451),f4(a110)),x50451)),
% 172.48/172.30 inference(rename_variables,[],[575])).
% 172.48/172.30 cnf(5047,plain,
% 172.48/172.30 (~P4(f114(a109,a1),f14(f114(x50471,a1),f31(a109,x50472,f2(f114(a109,a1))),f23(f114(x50471,a1))),f30(a109,f2(f114(a109,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282])).
% 172.48/172.30 cnf(5048,plain,
% 172.48/172.30 (~P4(f33(f33(f12(a110),a111),f4(a110)),f78(f19(a109,f23(f114(a109,a1)),a113),f31(a111,a115,x50481),f2(f114(a111,a1)),a111),f2(f114(a111,a1)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281])).
% 172.48/172.30 cnf(5049,plain,
% 172.48/172.30 (~E(f33(a113,a34),f33(f19(a109,f23(f114(a109,a1)),a113),x50491))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280])).
% 172.48/172.30 cnf(5050,plain,
% 172.48/172.30 (~P9(x50501,x50502,f5(f114(x50501,a1),x50503,x50503),x50504)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347])).
% 172.48/172.30 cnf(5051,plain,
% 172.48/172.30 (E(f5(f114(x50511,a1),x50512,x50512),f2(f114(x50511,a1)))),
% 172.48/172.30 inference(rename_variables,[],[611])).
% 172.48/172.30 cnf(5053,plain,
% 172.48/172.30 (~P5(a111,f4(a111),f14(f114(x50531,a1),f23(f114(x50531,a1)),f3(a111)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292])).
% 172.48/172.30 cnf(5054,plain,
% 172.48/172.30 (E(f14(f114(x50541,a1),f23(f114(x50541,a1)),x50542),x50542)),
% 172.48/172.30 inference(rename_variables,[],[623])).
% 172.48/172.30 cnf(5055,plain,
% 172.48/172.30 (~E(f2(f114(f114(x50551,a1),a1)),f30(x50551,x50552))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2])).
% 172.48/172.30 cnf(5056,plain,
% 172.48/172.30 (~E(f31(x50561,f3(a109),f2(f114(x50561,a1))),f31(x50561,f4(a109),f2(f114(x50561,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43])).
% 172.48/172.30 cnf(5059,plain,
% 172.48/172.30 (~E(f27(f13(a109,f29(a110,x50591),f4(a109))),x50591)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29])).
% 172.48/172.30 cnf(5061,plain,
% 172.48/172.30 (~E(f5(a110,f13(a109,f13(a110,x50611,f3(a110)),f4(a109)),f3(a110)),x50611)),
% 172.48/172.30 inference(rename_variables,[],[2209])).
% 172.48/172.30 cnf(5062,plain,
% 172.48/172.30 (~E(f13(a110,f13(a110,f33(f33(f12(a110),f5(a110,f3(a110),f3(a110))),x50621),x50622),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x50622)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16])).
% 172.48/172.30 cnf(5067,plain,
% 172.48/172.30 (~E(f5(a110,f13(a109,f13(a110,x50671,f3(a110)),f4(a109)),f3(a110)),x50671)),
% 172.48/172.30 inference(rename_variables,[],[2209])).
% 172.48/172.30 cnf(5068,plain,
% 172.48/172.30 (~E(f13(a109,f29(a110,f27(x50681)),f4(a109)),x50681)),
% 172.48/172.30 inference(rename_variables,[],[2098])).
% 172.48/172.30 cnf(5070,plain,
% 172.48/172.30 (~P11(a109,f14(f114(x50701,a1),f2(f114(a109,a1)),f2(f114(a109,a1))),x50702,f44(x50703,f14(f114(x50701,a1),f2(f114(a109,a1)),f2(f114(a109,a1))),a109))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785])).
% 172.48/172.30 cnf(5074,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f45(f14(f114(a109,a1),x50741,f2(f114(a109,a1))),f30(a109,f31(a109,x50742,f2(f114(a109,a1)))),f114(a109,a1)),f14(f114(a109,a1),x50741,f2(f114(a109,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415])).
% 172.48/172.30 cnf(5075,plain,
% 172.48/172.30 (P3(f114(x50751,a1))),
% 172.48/172.30 inference(rename_variables,[],[2455])).
% 172.48/172.30 cnf(5077,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f41(f14(f114(a109,a1),x50771,f2(f114(a109,a1))),f30(a109,f31(a109,x50772,f2(f114(a109,a1)))),f114(a109,a1)),f14(f114(a109,a1),x50771,f2(f114(a109,a1))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414])).
% 172.48/172.30 cnf(5078,plain,
% 172.48/172.30 (P3(f114(x50781,a1))),
% 172.48/172.30 inference(rename_variables,[],[2455])).
% 172.48/172.30 cnf(5080,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f31(a109,x50801,x50802),f50(f31(a109,x50801,x50802),f30(a109,f3(a110)),f114(a109,a1)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,5078,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413])).
% 172.48/172.30 cnf(5081,plain,
% 172.48/172.30 (P3(f114(x50811,a1))),
% 172.48/172.30 inference(rename_variables,[],[2455])).
% 172.48/172.30 cnf(5083,plain,
% 172.48/172.30 (~P5(f114(a109,a1),f31(a109,x50831,x50832),f48(f30(a109,f3(a110)),f31(a109,x50831,x50832),f114(a109,a1)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412])).
% 172.48/172.30 cnf(5086,plain,
% 172.48/172.30 (P16(a110,f33(f12(a110),f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437])).
% 172.48/172.30 cnf(5087,plain,
% 172.48/172.30 (P5(a110,f33(f33(f12(a110),f3(a110)),x50871),f33(f33(f12(a110),f3(a110)),x50872))),
% 172.48/172.30 inference(rename_variables,[],[2980])).
% 172.48/172.30 cnf(5089,plain,
% 172.48/172.30 (P15(a110,f33(f12(a110),f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436])).
% 172.48/172.30 cnf(5094,plain,
% 172.48/172.30 (P7(a111,x50941,f12(a110),f3(a109),f31(a111,f3(a111),f2(f114(a111,a1))),f33(f33(f12(a110),f3(a111)),f33(f33(f12(a110),f3(a109)),f4(a110))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901])).
% 172.48/172.30 cnf(5096,plain,
% 172.48/172.30 (~P7(x50961,x50962,f12(a110),f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f19(a109,f23(f114(a109,a1)),a113),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906])).
% 172.48/172.30 cnf(5097,plain,
% 172.48/172.30 (~P4(x50971,x50972,f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.30 inference(rename_variables,[],[1989])).
% 172.48/172.30 cnf(5100,plain,
% 172.48/172.30 (~E(f31(x51001,x51002,x51003),f2(f114(x51001,a1)))),
% 172.48/172.30 inference(rename_variables,[],[743])).
% 172.48/172.30 cnf(5102,plain,
% 172.48/172.30 (P7(a111,x51021,f12(a110),f3(a109),f5(f114(a111,a1),f31(a111,f3(a111),f2(f114(a111,a1))),f31(a111,f91(f33(f33(f12(a110),f3(a109)),f4(a110)),f3(a111),f31(a111,f3(a111),f2(f114(a111,a1))),f3(a109),f12(a110),x51021,a111),f2(f114(a111,a1)))),f92(f33(f33(f12(a110),f3(a109)),f4(a110)),f3(a111),f31(a111,f3(a111),f2(f114(a111,a1))),f3(a109),f12(a110),x51021,a111))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2221,3327,3852,2279,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3359,3783,3523,3777,3144,3848,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909])).
% 172.48/172.30 cnf(5113,plain,
% 172.48/172.30 (~P4(x51131,x51132,f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.30 inference(rename_variables,[],[1989])).
% 172.48/172.30 cnf(5124,plain,
% 172.48/172.30 (~E(f14(f114(f114(a109,a1),a1),f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1)),f23(f114(f114(a109,a1),a1))),f2(f114(f114(a109,a1),a1)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686])).
% 172.48/172.30 cnf(5126,plain,
% 172.48/172.30 (~P5(a111,f4(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004])).
% 172.48/172.30 cnf(5134,plain,
% 172.48/172.30 (~P78(f33(f36(f4(a109)),f97(f3(a110),f13(a110,f3(a109),f3(a110)),f36(f4(a109)))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788])).
% 172.48/172.30 cnf(5136,plain,
% 172.48/172.30 (~P5(a110,f22(f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f29(a110,x51361),f4(a109)))))),x51361)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242])).
% 172.48/172.30 cnf(5137,plain,
% 172.48/172.30 (P5(a109,f3(a109),f29(a110,x51371))),
% 172.48/172.30 inference(rename_variables,[],[603])).
% 172.48/172.30 cnf(5138,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x51381,f4(a109))))),x51381)),
% 172.48/172.30 inference(rename_variables,[],[2179])).
% 172.48/172.30 cnf(5140,plain,
% 172.48/172.30 (~E(f13(a111,f4(a111),f4(a111)),f3(a111))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055])).
% 172.48/172.30 cnf(5142,plain,
% 172.48/172.30 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f29(a110,f22(x51421)),f4(a109))))),x51421)),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145])).
% 172.48/172.30 cnf(5151,plain,
% 172.48/172.30 (P4(f114(a109,a1),f78(f19(a109,f23(f114(a109,a1)),a113),f30(a109,x51511),x51512,f114(a109,a1)),f16(f114(f114(a109,a1),a1),x51512,f30(a109,x51511)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804])).
% 172.48/172.30 cnf(5153,plain,
% 172.48/172.30 (P4(f114(a109,a1),f78(f19(a109,f23(f114(a109,a1)),a113),x51531,f30(a109,x51532),f114(a109,a1)),f16(f114(f114(a109,a1),a1),f30(a109,x51532),x51531))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803])).
% 172.48/172.30 cnf(5164,plain,
% 172.48/172.30 (P5(a109,x51641,x51641)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(5167,plain,
% 172.48/172.30 (P5(a109,x51671,x51671)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(5170,plain,
% 172.48/172.30 (P5(a109,x51701,x51701)),
% 172.48/172.30 inference(rename_variables,[],[578])).
% 172.48/172.30 cnf(5172,plain,
% 172.48/172.30 (~P6(a111,x51721,f13(a111,x51721,f3(a111)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220])).
% 172.48/172.30 cnf(5182,plain,
% 172.48/172.30 (~P5(a111,f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f4(a111))),f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f3(a111))))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751])).
% 172.48/172.30 cnf(5184,plain,
% 172.48/172.30 (~E(f31(f3(a110),f2(a110),f2(f114(f3(a110),a1))),f2(f114(f2(a110),a1)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,2081,3252,3763,2288,3355,3465,3765,2150,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592])).
% 172.48/172.30 cnf(5199,plain,
% 172.48/172.30 (E(f13(a110,x51991,x51992),f13(a110,x51992,x51991))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5201,plain,
% 172.48/172.30 (E(f13(a110,x52011,x52012),f13(a110,x52012,x52011))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5203,plain,
% 172.48/172.30 (E(f13(a110,x52031,x52032),f13(a110,x52032,x52031))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5204,plain,
% 172.48/172.30 (P35(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369])).
% 172.48/172.30 cnf(5205,plain,
% 172.48/172.30 (E(f13(a110,x52051,x52052),f13(a110,x52052,x52051))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5208,plain,
% 172.48/172.30 (E(f13(a110,x52081,x52082),f13(a110,x52082,x52081))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5209,plain,
% 172.48/172.30 (P70(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365])).
% 172.48/172.30 cnf(5210,plain,
% 172.48/172.30 (E(f13(a110,x52101,x52102),f13(a110,x52102,x52101))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5212,plain,
% 172.48/172.30 (E(f13(a110,x52121,x52122),f13(a110,x52122,x52121))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5214,plain,
% 172.48/172.30 (E(f13(a110,x52141,x52142),f13(a110,x52142,x52141))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5215,plain,
% 172.48/172.30 (P39(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3277,3269,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362])).
% 172.48/172.30 cnf(5216,plain,
% 172.48/172.30 (E(f13(a110,x52161,x52162),f13(a110,x52162,x52161))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5218,plain,
% 172.48/172.30 (E(f13(a110,x52181,x52182),f13(a110,x52182,x52181))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5220,plain,
% 172.48/172.30 (E(f13(a110,x52201,x52202),f13(a110,x52202,x52201))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5222,plain,
% 172.48/172.30 (E(f13(a110,x52221,x52222),f13(a110,x52222,x52221))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5224,plain,
% 172.48/172.30 (E(f13(a110,x52241,x52242),f13(a110,x52242,x52241))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5225,plain,
% 172.48/172.30 (P72(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340])).
% 172.48/172.30 cnf(5226,plain,
% 172.48/172.30 (E(f13(a110,x52261,x52262),f13(a110,x52262,x52261))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5227,plain,
% 172.48/172.30 (P32(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338])).
% 172.48/172.30 cnf(5228,plain,
% 172.48/172.30 (E(f13(a110,x52281,x52282),f13(a110,x52282,x52281))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5230,plain,
% 172.48/172.30 (E(f13(a110,x52301,x52302),f13(a110,x52302,x52301))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5232,plain,
% 172.48/172.30 (E(f13(a110,x52321,x52322),f13(a110,x52322,x52321))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5233,plain,
% 172.48/172.30 (P31(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331])).
% 172.48/172.30 cnf(5234,plain,
% 172.48/172.30 (E(f13(a110,x52341,x52342),f13(a110,x52342,x52341))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5236,plain,
% 172.48/172.30 (E(f13(a110,x52361,x52362),f13(a110,x52362,x52361))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5238,plain,
% 172.48/172.30 (E(f13(a110,x52381,x52382),f13(a110,x52382,x52381))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5239,plain,
% 172.48/172.30 (P36(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325])).
% 172.48/172.30 cnf(5240,plain,
% 172.48/172.30 (E(f13(a110,x52401,x52402),f13(a110,x52402,x52401))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5241,plain,
% 172.48/172.30 (P47(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323])).
% 172.48/172.30 cnf(5242,plain,
% 172.48/172.30 (E(f13(a110,x52421,x52422),f13(a110,x52422,x52421))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5243,plain,
% 172.48/172.30 (P71(f13(a110,a109,f3(a110)))),
% 172.48/172.30 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322])).
% 172.48/172.30 cnf(5244,plain,
% 172.48/172.30 (E(f13(a110,x52441,x52442),f13(a110,x52442,x52441))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5246,plain,
% 172.48/172.30 (E(f13(a110,x52461,x52462),f13(a110,x52462,x52461))),
% 172.48/172.30 inference(rename_variables,[],[612])).
% 172.48/172.30 cnf(5247,plain,
% 172.48/172.30 (P29(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316])).
% 172.48/172.31 cnf(5248,plain,
% 172.48/172.31 (E(f13(a110,x52481,x52482),f13(a110,x52482,x52481))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5249,plain,
% 172.48/172.31 (P38(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314])).
% 172.48/172.31 cnf(5250,plain,
% 172.48/172.31 (E(f13(a110,x52501,x52502),f13(a110,x52502,x52501))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5251,plain,
% 172.48/172.31 (P19(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3309,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313])).
% 172.48/172.31 cnf(5252,plain,
% 172.48/172.31 (E(f13(a110,x52521,x52522),f13(a110,x52522,x52521))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5254,plain,
% 172.48/172.31 (E(f13(a110,x52541,x52542),f13(a110,x52542,x52541))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5255,plain,
% 172.48/172.31 (P49(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296])).
% 172.48/172.31 cnf(5256,plain,
% 172.48/172.31 (E(f13(a110,x52561,x52562),f13(a110,x52562,x52561))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5257,plain,
% 172.48/172.31 (P73(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295])).
% 172.48/172.31 cnf(5258,plain,
% 172.48/172.31 (E(f13(a110,x52581,x52582),f13(a110,x52582,x52581))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5259,plain,
% 172.48/172.31 (P59(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294])).
% 172.48/172.31 cnf(5260,plain,
% 172.48/172.31 (E(f13(a110,x52601,x52602),f13(a110,x52602,x52601))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5261,plain,
% 172.48/172.31 (P58(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289])).
% 172.48/172.31 cnf(5262,plain,
% 172.48/172.31 (E(f13(a110,x52621,x52622),f13(a110,x52622,x52621))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5264,plain,
% 172.48/172.31 (P7(x52641,x52642,x52643,x52644,f2(f114(x52641,a1)),x52644)),
% 172.48/172.31 inference(rename_variables,[],[731])).
% 172.48/172.31 cnf(5265,plain,
% 172.48/172.31 (P2(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273])).
% 172.48/172.31 cnf(5266,plain,
% 172.48/172.31 (E(f13(a110,x52661,x52662),f13(a110,x52662,x52661))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5267,plain,
% 172.48/172.31 (P6(a110,f3(a110),f4(a110))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478])).
% 172.48/172.31 cnf(5271,plain,
% 172.48/172.31 (P4(f114(a109,a1),f83(f30(a109,f3(a110)),x52711,f30(a109,x52712),f114(a109,a1)),f16(f114(f114(a109,a1),a1),f30(a109,x52712),x52711))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807])).
% 172.48/172.31 cnf(5273,plain,
% 172.48/172.31 (E(f13(a110,x52731,f97(x52731,x52731,f2(f114(x52732,a1)))),x52731)),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,525,528,541,542,587,4036,4057,4069,4446,4544,4705,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643])).
% 172.48/172.31 cnf(5278,plain,
% 172.48/172.31 (P5(a110,f3(a110),x52781)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5291,plain,
% 172.48/172.31 (P5(a109,f33(f33(f12(a109),f3(a109)),f29(a110,f22(x52911))),f33(f33(f12(a109),f3(a109)),x52911))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624])).
% 172.48/172.31 cnf(5292,plain,
% 172.48/172.31 (P5(a109,x52921,x52921)),
% 172.48/172.31 inference(rename_variables,[],[578])).
% 172.48/172.31 cnf(5296,plain,
% 172.48/172.31 (P9(a110,f12(a110),f31(a110,f2(a110),f5(f114(a110,a1),f19(a109,f23(f114(a109,a1)),a113),f31(a110,f2(a110),f2(f114(a110,a1))))),f2(a110))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896])).
% 172.48/172.31 cnf(5298,plain,
% 172.48/172.31 (~P5(f114(a109,a1),f14(f114(x52981,a1),f31(a109,x52982,f2(f114(a109,a1))),f23(f114(x52981,a1))),f2(f114(a109,a1)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161])).
% 172.48/172.31 cnf(5300,plain,
% 172.48/172.31 (~P5(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146])).
% 172.48/172.31 cnf(5303,plain,
% 172.48/172.31 (P6(f114(a111,a1),f5(f114(a111,a1),f2(f114(a111,a1)),x53031),f31(a111,f3(a111),f31(a111,f3(a111),f2(f114(a111,a1)))))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523])).
% 172.48/172.31 cnf(5318,plain,
% 172.48/172.31 (~P5(a111,f33(f33(f12(a111),f33(f33(f12(a111),f4(a111)),f4(a111))),f4(a111)),f33(f33(f12(a111),f33(f33(f12(a111),f4(a111)),f3(a111))),f4(a111)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753])).
% 172.48/172.31 cnf(5325,plain,
% 172.48/172.31 (E(f13(a110,x53251,x53252),f13(a110,x53252,x53251))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5327,plain,
% 172.48/172.31 (E(f13(a110,x53271,x53272),f13(a110,x53272,x53271))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5329,plain,
% 172.48/172.31 (E(f13(a110,x53291,x53292),f13(a110,x53292,x53291))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5330,plain,
% 172.48/172.31 (P74(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374])).
% 172.48/172.31 cnf(5331,plain,
% 172.48/172.31 (E(f13(a110,x53311,x53312),f13(a110,x53312,x53311))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5332,plain,
% 172.48/172.31 (P30(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372])).
% 172.48/172.31 cnf(5333,plain,
% 172.48/172.31 (E(f13(a110,x53331,x53332),f13(a110,x53332,x53331))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5335,plain,
% 172.48/172.31 (E(f13(a110,x53351,x53352),f13(a110,x53352,x53351))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5336,plain,
% 172.48/172.31 (~P15(f14(f114(x53361,a1),f23(f114(x53361,a1)),a110),f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3269,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367])).
% 172.48/172.31 cnf(5338,plain,
% 172.48/172.31 (E(f13(a110,x53381,x53382),f13(a110,x53382,x53381))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5340,plain,
% 172.48/172.31 (E(f13(a110,x53401,x53402),f13(a110,x53402,x53401))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5342,plain,
% 172.48/172.31 (E(f13(a110,x53421,x53422),f13(a110,x53422,x53421))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5343,plain,
% 172.48/172.31 (P69(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3290,3289,3284,3283,3281,3278,3277,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352])).
% 172.48/172.31 cnf(5344,plain,
% 172.48/172.31 (E(f13(a110,x53441,x53442),f13(a110,x53442,x53441))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5346,plain,
% 172.48/172.31 (E(f13(a110,x53461,x53462),f13(a110,x53462,x53461))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5348,plain,
% 172.48/172.31 (E(f13(a110,x53481,x53482),f13(a110,x53482,x53481))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5350,plain,
% 172.48/172.31 (E(f13(a110,x53501,x53502),f13(a110,x53502,x53501))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5351,plain,
% 172.48/172.31 (P52(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330])).
% 172.48/172.31 cnf(5352,plain,
% 172.48/172.31 (E(f13(a110,x53521,x53522),f13(a110,x53522,x53521))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5353,plain,
% 172.48/172.31 (P77(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329])).
% 172.48/172.31 cnf(5354,plain,
% 172.48/172.31 (E(f13(a110,x53541,x53542),f13(a110,x53542,x53541))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5355,plain,
% 172.48/172.31 (P53(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324])).
% 172.48/172.31 cnf(5356,plain,
% 172.48/172.31 (E(f13(a110,x53561,x53562),f13(a110,x53562,x53561))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5358,plain,
% 172.48/172.31 (E(f13(a110,x53581,x53582),f13(a110,x53582,x53581))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5359,plain,
% 172.48/172.31 (P12(a110,f2(a110),f31(x53591,x53592,f23(f114(x53591,a1))))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,5356,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2105,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324,319,312])).
% 172.48/172.31 cnf(5360,plain,
% 172.48/172.31 (P46(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,5356,5358,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3307,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2105,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324,319,312,308])).
% 172.48/172.31 cnf(5361,plain,
% 172.48/172.31 (E(f13(a110,x53611,x53612),f13(a110,x53612,x53611))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5362,plain,
% 172.48/172.31 (P55(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,5356,5358,5361,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3319,3315,3314,3313,3309,3308,3307,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2105,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324,319,312,308,300])).
% 172.48/172.31 cnf(5363,plain,
% 172.48/172.31 (E(f13(a110,x53631,x53632),f13(a110,x53632,x53631))),
% 172.48/172.31 inference(rename_variables,[],[612])).
% 172.48/172.31 cnf(5364,plain,
% 172.48/172.31 (P48(f13(a110,a109,f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,5356,5358,5361,5363,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3320,3319,3315,3314,3313,3309,3308,3307,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2105,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324,319,312,308,300,285])).
% 172.48/172.31 cnf(5366,plain,
% 172.48/172.31 (P7(x53661,x53662,x53663,f3(a110),f2(f114(x53661,a1)),f2(a110))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,5356,5358,5361,5363,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,5264,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3320,3319,3315,3314,3313,3309,3308,3307,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2105,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324,319,312,308,300,285,279])).
% 172.48/172.31 cnf(5374,plain,
% 172.48/172.31 (P4(a109,x53741,f2(f114(a109,a1)))+~P4(a109,x53741,f7(f114(a109,a1),f30(a109,x53742)))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,5051,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,5356,5358,5361,5363,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,5264,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3320,3319,3315,3314,3313,3309,3308,3307,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2105,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324,319,312,308,300,285,279,278,774,773,1495])).
% 172.48/172.31 cnf(5376,plain,
% 172.48/172.31 (P5(a110,f37(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),a110),f52(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),a110))),
% 172.48/172.31 inference(scs_inference,[],[753,4008,4225,1911,385,393,395,401,432,434,448,475,489,513,536,544,546,570,556,557,558,559,563,564,660,4002,4121,4536,4957,630,4761,745,725,480,486,493,555,562,565,657,4372,4979,738,748,4085,619,4440,552,599,593,616,4610,4629,4631,4633,5038,611,4616,4696,5051,575,4321,4695,4859,5035,5041,5043,5045,576,4026,672,620,4624,4626,621,622,623,5054,633,721,578,3977,4061,4065,4257,4302,4330,4399,4428,4549,4801,4898,4960,5012,5164,5167,5170,5292,579,3982,4058,4070,4273,4305,4308,4327,4435,4545,4699,4723,580,4367,4755,4891,737,3985,430,437,453,458,459,491,511,515,525,528,541,542,587,4036,4057,4069,4446,4544,4705,4882,5278,741,4477,643,3997,4083,600,3998,637,4076,4079,4326,4461,4661,639,749,612,5199,5201,5203,5205,5208,5210,5212,5214,5216,5218,5220,5222,5224,5226,5228,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254,5256,5258,5260,5262,5266,5325,5327,5329,5331,5333,5335,5338,5340,5342,5344,5346,5348,5350,5352,5354,5356,5358,5361,5363,615,4264,4765,747,3911,3914,3923,4084,4230,4457,4558,605,606,4062,4066,4301,4800,658,744,4194,4652,627,4014,625,4005,679,410,478,390,384,398,436,445,454,510,535,661,3906,3946,3949,3954,3957,4171,4174,4177,4211,4270,4333,4384,4387,4400,4482,4512,4515,4899,4332,4810,424,476,752,751,397,412,383,467,500,512,610,4265,4449,414,479,647,389,477,392,425,506,507,538,638,731,5264,743,3994,5100,409,396,413,391,438,508,733,387,502,394,466,503,468,603,4424,4901,5028,5137,411,446,444,407,596,527,742,4775,4778,519,518,382,594,734,549,2004,4130,1999,3322,3320,3319,3315,3314,3313,3309,3308,3307,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3284,3283,3281,3280,3279,3278,3277,3272,3271,3270,3269,3265,3263,3262,3261,3260,3259,3258,3257,2083,3256,3255,3254,2081,3253,3252,3763,2288,3355,3465,3251,3765,2150,3250,2803,3917,3920,4088,2805,2807,1959,1947,4001,2240,3199,4049,4053,2194,3695,3717,3455,2205,3459,3249,3149,3779,3335,3511,4120,3383,3552,3353,2100,3900,3903,2105,2917,3489,3026,3028,4584,2580,3395,3274,2037,2184,4110,4498,3860,4164,4539,2825,2002,2181,3842,3685,3515,3721,3693,2175,3938,4476,4546,4555,4563,4567,4641,2290,3898,3926,3928,3930,3932,3934,4144,2923,1989,4050,4054,5097,5113,3331,3288,3248,3128,1916,4071,4533,2098,4570,4969,5068,2853,2209,5023,5061,5067,2377,3781,3546,3663,2297,2043,2373,2389,3337,2379,2221,3327,2094,3852,2279,2044,3312,1993,2301,2445,2455,4450,4762,5075,5078,5081,2879,3988,3991,3421,3423,2071,3044,2335,3868,3832,1912,3941,4011,4161,2340,3807,2980,5087,2962,3816,3651,3339,3669,2863,2827,2481,4462,2483,4505,3447,2168,3805,3479,3403,3449,3683,3655,1964,4037,4158,4381,4453,4469,4770,2079,4137,4222,4346,4489,4602,4910,4918,4938,4944,3701,2177,1935,2248,4445,2165,2311,4080,4662,2325,2008,2011,3862,3304,1923,1926,4831,2865,3976,4167,3247,1956,2179,4033,4427,4581,4849,4915,5138,2073,2075,2137,1970,3497,3499,3503,3310,2284,2273,2162,2419,2421,3548,3787,3741,3311,3822,3747,3743,3814,2867,4046,4294,4390,3000,3359,3783,3523,3777,3144,3848,2219,3582,3578,2223,3749,2461,2899,2907,3481,2147,2189,3264,867,866,1042,1110,1398,1397,1259,1258,1446,351,327,317,309,272,1008,923,1208,1158,1692,1691,1690,1545,1544,1895,1454,1453,1231,1230,1229,1228,926,1687,1392,1878,1864,1844,1843,1759,1824,1883,1891,1887,1170,1169,1167,1166,965,1021,1143,1118,1809,1610,1318,1616,1615,1518,1857,1855,1728,1642,1641,1649,1455,1177,1783,1830,1559,934,941,843,821,816,805,852,827,1384,1359,303,302,276,1452,1451,1302,892,874,868,1567,1054,983,1041,890,1048,896,1137,952,922,1162,1534,1531,1206,1067,919,1363,1245,1244,1239,1237,1236,1234,1080,1813,1812,1810,1697,1589,1340,1201,1157,1156,921,1688,1543,1731,1586,1671,1679,1558,918,1770,1662,1661,1660,1591,1820,1819,1584,1775,1774,1882,1880,1879,1869,1174,1411,1405,1112,1443,1611,1434,1433,1357,1355,1806,1750,1745,1709,1571,1517,1515,1487,1476,1475,1473,1463,1461,1459,1722,1125,1822,969,1780,1776,990,1324,1198,980,1423,1019,1425,1533,1490,959,1254,971,1365,1246,1339,1240,1334,1362,1260,1275,1172,1609,1432,1631,1519,1470,1469,1465,1725,991,780,1217,1056,1417,1416,1655,1639,910,800,1267,1243,1098,1097,1587,1673,1524,1271,1134,1280,1742,1678,1304,889,1005,1308,1010,957,939,1165,1430,1613,1489,1195,1658,1561,1588,1360,1612,935,1072,832,826,1282,1281,1018,1016,1013,1403,927,840,839,1083,1663,1833,1831,1402,1485,876,912,1329,834,1106,897,785,1033,1675,883,1656,1047,893,1102,895,1560,1435,1085,775,1182,1532,1183,1514,357,356,345,344,339,334,321,311,306,305,304,298,297,293,290,288,286,284,283,1094,1075,1133,1345,1235,1233,1079,1811,1606,1604,1594,1590,1530,1429,1341,1335,1159,1023,1022,920,1039,1400,917,1367,1366,1248,1247,1890,1680,1262,1154,1899,1390,925,1792,1758,1754,1585,1876,1875,1867,1866,1773,1885,1881,1871,1870,1726,1176,1168,966,1799,1650,1279,1721,1577,1740,1270,1706,1705,1748,1747,1744,1710,1570,1522,1516,1488,1486,1477,1467,1466,1464,1462,1460,1457,1723,1802,1698,968,985,933,972,1325,1312,1311,1193,1191,1657,1421,1332,1108,1107,1020,1002,348,291,1095,1091,1090,911,1238,1498,1124,1036,1142,1868,1025,967,1408,1479,1846,1303,1777,888,783,1326,810,903,881,1084,1320,1211,1358,802,1404,1319,1100,1877,1865,1483,1197,993,1138,1012,1343,1337,1249,1431,1450,1449,1669,15,6,833,3,997,1215,1724,1015,824,1814,1599,1155,1708,1834,1685,1842,1841,1832,882,1484,1444,1074,1677,995,1089,1073,1000,877,355,349,336,333,310,301,282,281,280,347,287,292,2,43,42,29,20,16,7,1140,875,1785,1645,1415,1414,1413,1412,1437,1436,1653,1901,1906,1907,1909,1395,1116,1284,1635,1625,1900,1727,1686,1004,1602,1601,1789,1788,1242,1055,1145,1456,1839,1808,1804,1803,929,928,1644,1743,1636,1633,1626,1220,894,1422,1001,1361,1751,1592,1752,756,1076,1573,902,377,373,370,369,368,366,365,364,363,362,361,360,354,343,340,338,337,332,331,328,326,325,323,322,318,316,314,313,307,296,295,294,289,277,273,1478,1840,1807,1643,1782,1637,1749,1746,1712,1711,1634,1624,931,1896,1161,1146,1523,1848,1173,1617,1122,940,1027,1753,851,1614,380,379,378,374,372,371,367,359,358,353,352,350,342,341,330,329,324,319,312,308,300,285,279,278,774,773,1495,973])).
% 172.48/172.31 cnf(5390,plain,
% 172.48/172.31 (P7(a111,x53901,f12(a110),f3(a109),f31(a111,x53902,f2(f114(a111,a1))),f33(f33(f12(a110),f33(f33(f12(a110),f3(a109)),f4(a110))),x53902))),
% 172.48/172.31 inference(scs_inference,[],[608,643,4694,1903])).
% 172.48/172.31 cnf(5392,plain,
% 172.48/172.31 (P7(a111,x53921,f12(a110),f3(a109),f5(f114(a111,a1),x53922,x53922),f33(f33(f12(a110),f3(a109)),f4(a110)))),
% 172.48/172.31 inference(rename_variables,[],[4694])).
% 172.48/172.31 cnf(5393,plain,
% 172.48/172.31 (P4(x53931,x53932,f31(x53931,x53932,x53933))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(5396,plain,
% 172.48/172.31 (P6(a110,x53961,f22(f13(a109,f29(a110,f13(a110,x53961,x53962)),f4(a109))))),
% 172.48/172.31 inference(rename_variables,[],[4468])).
% 172.48/172.31 cnf(5397,plain,
% 172.48/172.31 (~P6(a110,f13(a110,x53971,x53972),x53971)),
% 172.48/172.31 inference(rename_variables,[],[750])).
% 172.48/172.31 cnf(5398,plain,
% 172.48/172.31 (P4(x53981,x53982,f23(f114(x53981,a1)))),
% 172.48/172.31 inference(rename_variables,[],[615])).
% 172.48/172.31 cnf(5400,plain,
% 172.48/172.31 (P4(a111,f91(f33(f33(f12(a110),f3(a109)),f4(a110)),f3(a111),f31(a111,f3(a111),f2(f114(a111,a1))),f3(a109),f12(a110),x54001,a111),f31(a111,f3(a111),f2(f114(a111,a1))))),
% 172.48/172.31 inference(scs_inference,[],[608,750,643,615,743,392,4694,5094,4468,1903,1264,1905])).
% 172.48/172.31 cnf(5401,plain,
% 172.48/172.31 (~E(f31(x54011,x54012,x54013),f2(f114(x54011,a1)))),
% 172.48/172.31 inference(rename_variables,[],[743])).
% 172.48/172.31 cnf(5417,plain,
% 172.48/172.31 (E(x54171,f13(a110,f33(f33(f12(a110),f5(a110,x54172,x54172)),x54173),x54171))),
% 172.48/172.31 inference(rename_variables,[],[4751])).
% 172.48/172.31 cnf(5419,plain,
% 172.48/172.31 (P4(x54191,x54192,f31(x54191,x54192,x54193))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(5422,plain,
% 172.48/172.31 (P5(a109,x54221,x54221)),
% 172.48/172.31 inference(rename_variables,[],[578])).
% 172.48/172.31 cnf(5429,plain,
% 172.48/172.31 (P3(f114(x54291,a1))),
% 172.48/172.31 inference(rename_variables,[],[2455])).
% 172.48/172.31 cnf(5432,plain,
% 172.48/172.31 (P3(f114(x54321,a1))),
% 172.48/172.31 inference(rename_variables,[],[2455])).
% 172.48/172.31 cnf(5435,plain,
% 172.48/172.31 (P78(f33(f23(f114(x54351,a1)),x54352))),
% 172.48/172.31 inference(rename_variables,[],[625])).
% 172.48/172.31 cnf(5437,plain,
% 172.48/172.31 (P5(f114(f114(x54371,a1),a1),f14(f114(f114(x54371,a1),a1),x54372,f14(f114(x54373,a1),f19(a109,f23(f114(a109,a1)),a113),x54374)),f14(f114(f114(x54371,a1),a1),f30(x54371,f6(f114(x54371,a1),x54372)),x54375))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,643,5393,615,747,625,743,512,392,603,5239,5233,4872,5204,4759,4751,4082,5303,4694,5094,4468,5296,3274,2181,2455,5429,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887])).
% 172.48/172.31 cnf(5438,plain,
% 172.48/172.31 (~P78(f33(f14(f114(x54381,a1),f19(a109,f23(f114(a109,a1)),a113),x54382),x54383))),
% 172.48/172.31 inference(rename_variables,[],[4872])).
% 172.48/172.31 cnf(5443,plain,
% 172.48/172.31 (P5(a109,f33(f33(f12(a109),f29(a110,f4(a110))),f29(a110,f4(a110))),f29(a110,f4(a110)))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,643,5393,615,747,625,743,512,392,398,603,446,5239,5233,4872,5204,4759,4751,4082,5303,4402,4694,5094,4468,2472,5296,3274,2181,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642])).
% 172.48/172.31 cnf(5444,plain,
% 172.48/172.31 (P5(a109,f3(a109),f29(a110,x54441))),
% 172.48/172.31 inference(rename_variables,[],[603])).
% 172.48/172.31 cnf(5446,plain,
% 172.48/172.31 (P5(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f4(a111))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,643,5393,615,747,625,399,743,512,392,398,580,603,446,596,5239,5233,4872,5204,4759,4751,4082,5303,4402,4694,5094,4468,2472,5296,3274,2181,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641])).
% 172.48/172.31 cnf(5447,plain,
% 172.48/172.31 (P5(a111,x54471,x54471)),
% 172.48/172.31 inference(rename_variables,[],[580])).
% 172.48/172.31 cnf(5449,plain,
% 172.48/172.31 (~P5(a110,f5(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f3(a110)),f5(a110,f3(a110),f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,579,643,5393,615,747,625,399,587,743,512,392,398,580,603,446,596,5239,5233,4872,5204,4759,4751,4082,5303,4402,5300,4694,5094,4468,2472,5296,3274,2181,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783])).
% 172.48/172.31 cnf(5450,plain,
% 172.48/172.31 (P5(a110,x54501,x54501)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(5451,plain,
% 172.48/172.31 (P5(a110,f3(a110),x54511)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5455,plain,
% 172.48/172.31 (~P5(a110,f13(a110,f33(f33(f12(a110),f5(a110,x54551,x54551)),x54552),f22(f13(a109,f29(a110,x54553),f4(a109)))),x54553)),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,579,5450,643,5393,615,747,625,399,587,743,512,392,398,580,603,466,446,596,5239,5233,4872,5204,4759,4751,4082,5303,4402,5300,4694,5094,4468,4491,3979,2472,5296,3274,2181,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878])).
% 172.48/172.31 cnf(5456,plain,
% 172.48/172.31 (~P5(a110,f13(a110,x54561,f22(f13(a109,f29(a110,x54562),f4(a109)))),f13(a110,x54561,x54562))),
% 172.48/172.31 inference(rename_variables,[],[4491])).
% 172.48/172.31 cnf(5458,plain,
% 172.48/172.31 (P6(a110,x54581,f13(a110,f33(f33(f12(a110),f5(a110,x54582,x54582)),x54583),f27(f29(a110,f13(a110,f13(a110,f33(f33(f12(a110),f5(a110,x54582,x54582)),x54583),x54581),f4(a110))))))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,579,5450,643,5393,615,747,625,399,587,743,512,392,398,580,603,466,446,596,5239,5233,4872,5204,4759,4751,4082,5303,4402,5300,4694,5094,4468,4491,4934,3979,2472,5296,3274,2181,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864])).
% 172.48/172.31 cnf(5462,plain,
% 172.48/172.31 (~P4(x54621,x54622,f19(a109,f23(f114(a109,a1)),a113))),
% 172.48/172.31 inference(rename_variables,[],[1989])).
% 172.48/172.31 cnf(5464,plain,
% 172.48/172.31 (~P6(a111,f13(a111,f4(a111),f3(a111)),f3(a111))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,579,5450,643,5393,615,747,625,399,587,743,512,392,398,580,603,466,446,596,519,5239,5233,4419,4872,5204,4759,4751,4082,5303,4402,5300,5025,4694,5094,4468,4491,4934,3979,2472,5296,2501,3274,2181,1989,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632])).
% 172.48/172.31 cnf(5471,plain,
% 172.48/172.31 (P5(a110,x54711,x54711)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(5472,plain,
% 172.48/172.31 (P5(a110,f3(a110),x54721)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5474,plain,
% 172.48/172.31 (P6(a111,f3(a111),f16(a111,x54741,f4(a111)))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,579,5450,643,5393,615,747,627,625,399,587,5451,743,512,392,398,409,413,580,603,466,445,446,596,519,5239,5233,4419,4872,5204,4759,4751,4082,5303,4402,5300,5025,4694,5094,4468,4645,4491,4934,3979,2472,5296,2501,3274,2181,1989,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004])).
% 172.48/172.31 cnf(5478,plain,
% 172.48/172.31 (~P6(a109,f33(f33(f12(a109),f3(a109)),x54781),f33(f33(f12(a109),f29(a110,f27(f3(a109)))),x54781))),
% 172.48/172.31 inference(rename_variables,[],[4774])).
% 172.48/172.31 cnf(5479,plain,
% 172.48/172.31 (~P6(a109,f33(f33(f12(a109),f29(a110,x54791)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f33(f33(f12(a109),f3(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.31 inference(rename_variables,[],[4210])).
% 172.48/172.31 cnf(5481,plain,
% 172.48/172.31 (P5(f114(a109,a1),f65(f31(a109,x54811,x54812),f30(a109,x54813),a109),x54813)),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,579,5450,643,5393,615,747,627,625,399,587,5451,743,512,392,398,409,413,580,603,466,445,446,596,519,5239,5233,4419,4872,5204,4759,4751,4082,5303,4402,5300,4774,5025,4694,4210,5094,4468,4645,4491,4934,3979,2472,5296,2501,3274,2181,1989,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189])).
% 172.48/172.31 cnf(5483,plain,
% 172.48/172.31 (~P5(a109,f29(a110,f22(f13(a109,x54831,f4(a109)))),x54831)),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,619,578,579,5450,643,5393,615,747,627,625,399,587,5451,476,743,512,392,398,409,413,580,603,466,445,446,596,519,5239,5233,4419,4872,5204,4759,4751,4082,5303,4402,5300,4774,5025,4694,4210,5094,4468,4645,4345,4491,4934,3979,2472,5296,2501,3274,2181,1989,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455])).
% 172.48/172.31 cnf(5486,plain,
% 172.48/172.31 (~P5(a110,f13(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),f3(a110))),
% 172.48/172.31 inference(scs_inference,[],[664,608,750,5397,619,578,579,5450,643,5393,615,747,627,625,399,587,5451,476,743,512,392,398,409,413,389,580,603,466,445,446,596,519,5239,5233,4419,4872,5204,4759,4751,4082,5303,4402,5300,4774,5025,4694,4210,4495,5094,4468,4645,4345,4491,4934,3979,2472,5296,2501,3274,2181,1989,1964,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170])).
% 172.48/172.31 cnf(5487,plain,
% 172.48/172.31 (~P6(a110,f13(a110,x54871,x54872),x54871)),
% 172.48/172.31 inference(rename_variables,[],[750])).
% 172.48/172.31 cnf(5492,plain,
% 172.48/172.31 (P6(a111,f5(a111,x54921,f4(a111)),x54921)),
% 172.48/172.31 inference(rename_variables,[],[1926])).
% 172.48/172.31 cnf(5495,plain,
% 172.48/172.31 (~P6(a109,f13(a109,f29(a110,f27(f16(a109,x54951,x54952))),f4(a109)),x54951)),
% 172.48/172.31 inference(rename_variables,[],[4950])).
% 172.48/172.31 cnf(5498,plain,
% 172.48/172.31 (P6(a109,x54981,f13(a109,f29(a110,f27(x54981)),f4(a109)))),
% 172.48/172.31 inference(rename_variables,[],[661])).
% 172.48/172.31 cnf(5501,plain,
% 172.48/172.31 (P5(a110,x55011,f33(f33(f12(a110),x55011),x55011))),
% 172.48/172.31 inference(rename_variables,[],[627])).
% 172.48/172.31 cnf(5505,plain,
% 172.48/172.31 (~P4(x55051,x55052,f5(f114(x55051,a1),x55053,x55053))),
% 172.48/172.31 inference(rename_variables,[],[4635])).
% 172.48/172.31 cnf(5507,plain,
% 172.48/172.31 (P5(f114(x55071,a1),f33(f33(f12(a109),f4(a109)),x55072),x55072)),
% 172.48/172.31 inference(scs_inference,[],[664,581,584,608,750,5397,619,578,579,5450,643,5393,615,747,604,627,625,399,587,5451,661,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,5239,5233,4419,4213,4872,4635,5204,4759,4751,4082,5303,4402,5300,4774,5025,4694,4210,4495,5094,4468,4645,4345,4950,4491,4934,4473,3979,2472,5296,2501,3274,2181,1989,1964,1926,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874])).
% 172.48/172.31 cnf(5510,plain,
% 172.48/172.31 (~P6(a109,x55101,x55101)),
% 172.48/172.31 inference(rename_variables,[],[1912])).
% 172.48/172.31 cnf(5513,plain,
% 172.48/172.31 (~P6(a109,x55131,x55131)),
% 172.48/172.31 inference(rename_variables,[],[1912])).
% 172.48/172.31 cnf(5518,plain,
% 172.48/172.31 (P5(a110,f5(a110,f3(a110),x55181),x55182)),
% 172.48/172.31 inference(scs_inference,[],[664,581,584,608,1912,5510,750,5397,619,578,579,5450,643,5393,615,747,604,627,625,399,587,5451,5472,661,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,5239,5233,4419,4213,4872,4635,5204,4759,4751,4082,5303,4402,5300,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,4473,3979,2472,5296,2501,3274,2181,1989,1964,1926,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534])).
% 172.48/172.31 cnf(5519,plain,
% 172.48/172.31 (P5(a110,f3(a110),x55191)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5521,plain,
% 172.48/172.31 (~P6(a110,f13(a110,f13(a110,f5(a110,x55211,x55212),x55213),x55212),x55211)),
% 172.48/172.31 inference(scs_inference,[],[664,581,584,608,1912,5510,750,5397,5487,619,578,579,5450,643,5393,615,747,604,627,625,399,587,5451,5472,661,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,5239,5233,4419,4213,4872,4635,5204,4759,4751,4082,5303,4402,5300,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,4473,3979,2472,5296,2501,3274,2181,1989,1964,1926,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531])).
% 172.48/172.31 cnf(5522,plain,
% 172.48/172.31 (~P6(a110,f13(a110,x55221,x55222),x55221)),
% 172.48/172.31 inference(rename_variables,[],[750])).
% 172.48/172.31 cnf(5526,plain,
% 172.48/172.31 (P16(a110,f13(a110,f33(f33(f12(a110),f5(a110,x55261,x55261)),x55262),f33(f12(a110),f3(a110))))),
% 172.48/172.31 inference(scs_inference,[],[664,581,584,608,1912,5510,750,5397,5487,619,578,579,5450,643,5393,615,747,604,627,625,399,587,5451,5472,661,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,5239,5233,4419,4213,4872,4635,5204,4448,4759,4751,5417,4082,5303,4402,5300,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,2501,3274,2181,1989,1964,1926,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376])).
% 172.48/172.31 cnf(5527,plain,
% 172.48/172.31 (P14(f13(a110,f3(a110),a110),f13(a110,f3(a110),f33(f12(a110),f3(a110))))),
% 172.48/172.31 inference(scs_inference,[],[664,581,584,608,1912,5510,750,5397,5487,619,578,579,5450,643,5393,615,747,604,627,625,399,587,5451,5472,661,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,5239,5233,4419,4213,4872,4635,5204,4448,4759,4751,5417,4082,5303,4402,5300,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,2501,3274,2181,2290,1989,1964,1926,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320])).
% 172.48/172.31 cnf(5531,plain,
% 172.48/172.31 (P12(f112(x55311),x55312,f5(f114(f112(x55311),a1),x55313,x55313))),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,750,5397,5487,619,578,579,5450,643,5393,556,615,747,604,627,625,399,587,5451,5472,661,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,4872,4635,5505,5204,4448,4759,4751,5417,4082,5303,4402,3945,5300,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157])).
% 172.48/172.31 cnf(5532,plain,
% 172.48/172.31 (~P4(x55321,x55322,f5(f114(x55321,a1),x55323,x55323))),
% 172.48/172.31 inference(rename_variables,[],[4635])).
% 172.48/172.31 cnf(5535,plain,
% 172.48/172.31 (P3(f114(x55351,a1))),
% 172.48/172.31 inference(rename_variables,[],[2455])).
% 172.48/172.31 cnf(5538,plain,
% 172.48/172.31 (P3(f114(x55381,a1))),
% 172.48/172.31 inference(rename_variables,[],[2455])).
% 172.48/172.31 cnf(5540,plain,
% 172.48/172.31 (~E(f14(f112(x55401),x55402,f14(f112(x55401),x55403,f22(f13(a109,f29(a110,f23(f112(x55401))),f4(a109))))),f23(f112(x55401)))),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,750,5397,5487,619,578,579,5450,643,5393,556,615,747,604,627,625,399,587,5451,5472,661,562,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,4402,3945,5300,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926])).
% 172.48/172.31 cnf(5541,plain,
% 172.48/172.31 (~E(f14(f112(x55411),x55412,f22(f13(a109,f29(a110,f23(f112(x55411))),f4(a109)))),f23(f112(x55411)))),
% 172.48/172.31 inference(rename_variables,[],[3973])).
% 172.48/172.31 cnf(5543,plain,
% 172.48/172.31 (~P5(f114(a109,a1),f16(f114(a109,a1),f31(a109,x55431,f2(f114(a109,a1))),x55432),f2(f114(a109,a1)))),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,644,750,5397,5487,619,578,579,5450,643,5393,556,615,747,604,627,625,399,587,5451,5472,661,562,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,4371,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,4402,3945,5300,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661])).
% 172.48/172.31 cnf(5544,plain,
% 172.48/172.31 (~P5(f114(a109,a1),f16(f114(a109,a1),f31(a109,x55441,f2(f114(a109,a1))),x55442),f14(f114(a109,a1),x55443,f2(f114(a109,a1))))),
% 172.48/172.31 inference(rename_variables,[],[4371])).
% 172.48/172.31 cnf(5545,plain,
% 172.48/172.31 (P5(f114(x55451,a1),x55452,f31(x55451,x55453,x55452))),
% 172.48/172.31 inference(rename_variables,[],[644])).
% 172.48/172.31 cnf(5548,plain,
% 172.48/172.31 (~E(f13(a110,x55481,f30(x55482,x55483)),f13(a110,x55481,f2(f114(f114(x55482,a1),a1))))),
% 172.48/172.31 inference(rename_variables,[],[4430])).
% 172.48/172.31 cnf(5550,plain,
% 172.48/172.31 (~E(f2(f114(f114(x55501,a1),a1)),f13(a110,f33(f33(f12(a110),f5(a110,x55502,x55502)),x55503),f30(x55501,x55504)))),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,644,750,5397,5487,619,578,579,5450,5471,643,5393,556,615,747,604,627,625,399,587,5451,5472,661,562,476,743,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,4371,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,4402,3945,5300,4430,5548,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843])).
% 172.48/172.31 cnf(5555,plain,
% 172.48/172.31 (~E(f31(x55551,x55552,x55553),f2(f114(x55551,a1)))),
% 172.48/172.31 inference(rename_variables,[],[743])).
% 172.48/172.31 cnf(5561,plain,
% 172.48/172.31 (~E(f5(a111,f33(f33(f12(a109),f4(a109)),x55611),x55611),f5(a111,f2(f114(x55612,a1)),f31(x55612,x55613,x55614)))),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,644,750,5397,5487,619,578,579,5450,5471,432,643,5393,556,615,747,604,744,627,625,5435,399,587,5451,5472,661,562,476,743,5401,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,4670,4371,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112])).
% 172.48/172.31 cnf(5563,plain,
% 172.48/172.31 (~E(f33(f33(f24(a110),f3(a110)),f13(a109,f3(a110),f4(a109))),f33(f33(f24(a110),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),f13(a109,f3(a110),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,644,750,5397,5487,619,578,579,5450,5471,432,643,5393,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,4670,4371,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,4645,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649])).
% 172.48/172.31 cnf(5564,plain,
% 172.48/172.31 (P5(a110,x55641,x55641)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(5565,plain,
% 172.48/172.31 (P5(a110,f3(a110),x55651)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5568,plain,
% 172.48/172.31 (~P6(a110,x55681,f14(a110,x55681,x55682))),
% 172.48/172.31 inference(rename_variables,[],[2131])).
% 172.48/172.31 cnf(5570,plain,
% 172.48/172.31 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x55701),f4(a109)),f4(a109)))),x55701)),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,644,750,5397,5487,619,578,579,5450,5471,432,643,5393,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,4670,4371,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331])).
% 172.48/172.31 cnf(5575,plain,
% 172.48/172.31 (P4(f114(f114(a109,a1),a1),f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1)),f30(f114(a109,a1),f30(a109,f3(a110))))),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,644,750,5397,5487,619,578,579,5450,5471,432,643,5393,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,5000,4670,4045,4371,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446])).
% 172.48/172.31 cnf(5578,plain,
% 172.48/172.31 (P4(x55781,x55782,f31(x55781,x55782,x55783))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(5579,plain,
% 172.48/172.31 (P5(f114(f114(x55791,a1),a1),x55792,f30(x55791,f6(f114(x55791,a1),x55792)))),
% 172.48/172.31 inference(rename_variables,[],[664])).
% 172.48/172.31 cnf(5581,plain,
% 172.48/172.31 (P12(f112(x55811),f6(f112(x55811),f2(f114(f112(x55811),a1))),x55812)),
% 172.48/172.31 inference(scs_inference,[],[381,664,581,584,608,1912,5510,644,750,5397,5487,619,578,579,5450,5471,432,643,5393,5419,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,413,389,580,394,387,603,466,445,446,596,742,519,382,5239,5233,4419,4213,5000,4670,4045,4371,3965,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334])).
% 172.48/172.31 cnf(5585,plain,
% 172.48/172.31 (P5(f114(x55851,a1),x55852,f31(x55851,x55853,x55852))),
% 172.48/172.31 inference(rename_variables,[],[644])).
% 172.48/172.31 cnf(5592,plain,
% 172.48/172.31 (~E(f14(f114(x55921,a1),f31(x55921,f33(f33(f12(a109),x55922),x55922),x55923),f31(x55921,f33(f33(f12(a109),x55922),x55922),x55923)),f2(f114(x55921,a1)))),
% 172.48/172.31 inference(scs_inference,[],[381,664,5579,581,584,607,608,1912,5510,644,5545,750,5397,5487,590,619,578,579,5450,5471,432,643,5393,5419,5578,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,413,389,580,394,387,603,503,466,445,446,596,742,519,382,5239,5233,4419,4213,5000,4670,4045,4371,3965,4872,3973,4635,5505,5204,4448,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405])).
% 172.48/172.31 cnf(5593,plain,
% 172.48/172.31 (P4(x55931,x55932,f31(x55931,x55932,x55933))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(5594,plain,
% 172.48/172.31 (P4(x55941,x55942,f31(x55941,x55942,x55943))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(5597,plain,
% 172.48/172.31 (~P5(a109,f13(a109,f5(a109,f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f5(a109,f3(a109),f4(a109)))),x55971),x55971)),
% 172.48/172.31 inference(scs_inference,[],[381,664,5579,581,584,607,608,1912,5510,644,5545,750,5397,5487,590,619,578,579,5450,5471,432,643,5393,5419,5578,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,5239,5233,4419,4213,5000,4670,4045,4371,3965,4872,3973,4635,5505,5204,4448,3948,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2871,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357])).
% 172.48/172.31 cnf(5598,plain,
% 172.48/172.31 (E(f5(a109,f13(a109,x55981,x55982),x55982),x55981)),
% 172.48/172.31 inference(rename_variables,[],[2871])).
% 172.48/172.31 cnf(5600,plain,
% 172.48/172.31 (~P5(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))),
% 172.48/172.31 inference(scs_inference,[],[381,664,5579,581,584,607,608,1912,5510,644,5545,750,5397,5487,590,619,578,579,5450,5471,432,530,643,5393,5419,5578,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,5239,5233,4419,4213,5000,4670,4045,4371,3965,4872,3973,4635,5505,5204,4448,3948,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750])).
% 172.48/172.31 cnf(5603,plain,
% 172.48/172.31 (~P6(a109,x56031,x56031)),
% 172.48/172.31 inference(rename_variables,[],[1912])).
% 172.48/172.31 cnf(5605,plain,
% 172.48/172.31 (P5(a109,f33(f33(f12(a109),f4(a109)),x56051),x56051)),
% 172.48/172.31 inference(scs_inference,[],[381,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,432,530,643,5393,5419,5578,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5000,4670,4045,4371,3965,4872,3973,4635,5505,5204,4448,3948,4471,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780])).
% 172.48/172.31 cnf(5607,plain,
% 172.48/172.31 (P6(a111,f33(f33(f12(a109),f4(a109)),x56071),f13(a111,x56071,f4(a111)))),
% 172.48/172.31 inference(scs_inference,[],[381,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,432,530,643,5393,5419,5578,556,615,747,604,744,627,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5000,4670,4045,4371,3965,4872,3973,4635,5505,5204,4448,3948,4471,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055])).
% 172.48/172.31 cnf(5615,plain,
% 172.48/172.31 (P13(f112(x56151),f5(f114(f112(x56151),a1),x56152,x56152),x56153)),
% 172.48/172.31 inference(scs_inference,[],[381,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5124,5000,4670,4045,4371,3965,4872,3973,4635,5505,5532,5204,4448,3948,4767,4471,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158])).
% 172.48/172.31 cnf(5616,plain,
% 172.48/172.31 (~P4(x56161,x56162,f5(f114(x56161,a1),x56163,x56163))),
% 172.48/172.31 inference(rename_variables,[],[4635])).
% 172.48/172.31 cnf(5618,plain,
% 172.48/172.31 (E(x56181,f13(a111,x56181,f33(f33(f12(a111),f5(a111,x56182,x56182)),x56183)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5124,5000,4670,4045,4371,3965,4872,3973,4635,5505,5532,5204,4448,3948,4767,4471,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4491,4934,5086,4473,3979,2472,5296,4617,4909,3616,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098])).
% 172.48/172.31 cnf(5628,plain,
% 172.48/172.31 (P5(a110,x56281,x56281)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(5631,plain,
% 172.48/172.31 (~P4(x56311,x56312,f5(f114(x56311,a1),x56313,x56313))),
% 172.48/172.31 inference(rename_variables,[],[4635])).
% 172.48/172.31 cnf(5632,plain,
% 172.48/172.31 (~P4(x56321,x56322,f16(f114(x56321,a1),f6(f114(x56321,a1),f2(f114(f114(x56321,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.48/172.31 inference(rename_variables,[],[4052])).
% 172.48/172.31 cnf(5634,plain,
% 172.48/172.31 (P4(f114(a109,a1),f79(f14(f114(x56341,a1),f19(a109,f23(f114(a109,a1)),a113),x56342),f5(f114(f114(a109,a1),a1),x56343,x56343),f30(a109,x56344),f114(a109,a1)),f30(a109,x56344))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5124,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5204,5153,4052,4448,3948,4767,4471,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,3979,4240,2472,5296,4617,4909,3616,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855])).
% 172.48/172.31 cnf(5635,plain,
% 172.48/172.31 (~P4(x56351,x56352,f5(f114(x56351,a1),x56353,x56353))),
% 172.48/172.31 inference(rename_variables,[],[4635])).
% 172.48/172.31 cnf(5636,plain,
% 172.48/172.31 (~P78(f33(f14(f114(x56361,a1),f19(a109,f23(f114(a109,a1)),a113),x56362),x56363))),
% 172.48/172.31 inference(rename_variables,[],[4872])).
% 172.48/172.31 cnf(5639,plain,
% 172.48/172.31 (~P6(a110,x56391,f33(f33(f12(a109),f4(a109)),f3(a110)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5124,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5204,5153,4052,4448,3948,4767,4471,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,3979,4240,2472,5296,4617,4909,3616,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892])).
% 172.48/172.31 cnf(5640,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x56401),x56401)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5645,plain,
% 172.48/172.31 (~P4(x56451,x56452,f16(f114(x56451,a1),f6(f114(x56451,a1),f2(f114(f114(x56451,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.48/172.31 inference(rename_variables,[],[4052])).
% 172.48/172.31 cnf(5647,plain,
% 172.48/172.31 (~E(f3(a109),f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,391,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5124,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5204,5153,4052,5632,4448,3948,4767,4471,4481,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,4769,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,3979,4240,2472,5296,4617,4909,3616,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910])).
% 172.48/172.31 cnf(5649,plain,
% 172.48/172.31 (E(x56491,f13(a111,f13(a109,f33(f33(f12(a109),f5(a109,x56492,x56492)),x56493),x56491),f3(a111)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,485,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,391,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5124,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5204,5153,4052,5632,4448,3948,4767,4471,4481,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,4769,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097])).
% 172.48/172.31 cnf(5652,plain,
% 172.48/172.31 (P78(f33(f19(f112(x56521),f23(f114(f112(x56521),a1)),f5(f114(f112(x56521),a1),x56522,x56522)),x56523))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,485,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,391,394,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,5124,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,4903,4774,4769,5025,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770])).
% 172.48/172.31 cnf(5667,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x56671),x56671)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5669,plain,
% 172.48/172.31 (E(f13(a111,f5(a111,x56691,x56692),x56692),x56691)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,430,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,485,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,391,394,508,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3345,4759,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4452,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072])).
% 172.48/172.31 cnf(5671,plain,
% 172.48/172.31 (~P7(x56711,x56712,f33(f33(f12(a109),f4(a109)),f12(a110)),f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f19(a109,f23(f114(a109,a1)),a113),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,430,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,485,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,391,394,508,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3345,4759,5096,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4452,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276])).
% 172.48/172.31 cnf(5672,plain,
% 172.48/172.31 (~E(f13(a111,f33(f33(f12(a111),x56721),x56722),f27(f13(a109,f29(a110,f13(a111,f33(f33(f12(a111),f5(a111,x56723,x56721)),x56722),x56724)),f4(a109)))),f13(a111,f33(f33(f12(a111),x56723),x56722),x56724))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,430,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,399,485,501,587,5451,5472,5519,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,391,394,508,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3345,5059,4759,5096,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4452,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831])).
% 172.48/172.31 cnf(5673,plain,
% 172.48/172.31 (~E(f27(f13(a109,f29(a110,x56731),f4(a109))),x56731)),
% 172.48/172.31 inference(rename_variables,[],[5059])).
% 172.48/172.31 cnf(5677,plain,
% 172.48/172.31 (~E(f27(f13(a109,f29(a110,x56771),f4(a109))),x56771)),
% 172.48/172.31 inference(rename_variables,[],[5059])).
% 172.48/172.31 cnf(5678,plain,
% 172.48/172.31 (P5(a110,f3(a110),x56781)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5680,plain,
% 172.48/172.31 (P5(a111,f13(a111,f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))),f3(a111))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,430,432,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,485,501,587,5451,5472,5519,5565,661,562,476,743,5401,512,467,397,392,398,507,409,424,413,389,580,391,394,508,387,603,503,466,445,446,596,742,519,382,518,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4452,4694,4210,4495,5094,4468,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991])).
% 172.48/172.31 cnf(5692,plain,
% 172.48/172.31 (P6(a111,f33(f33(f24(a111),f3(a111)),f13(a109,f3(a110),f4(a109))),f33(f33(f24(a111),f4(a111)),f13(a109,f3(a110),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,541,743,5401,512,467,397,392,398,507,409,424,413,389,580,5447,391,394,508,387,411,603,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,5094,4468,5396,4261,2131,4645,4824,4345,4741,4950,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725])).
% 172.48/172.31 cnf(5698,plain,
% 172.48/172.31 (~P5(a1,f5(a110,f13(a109,f13(a110,f2(a1),f3(a110)),f4(a109)),f3(a110)),f2(a1))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,541,743,5401,512,467,397,392,398,507,409,424,413,389,580,5447,391,394,508,387,411,603,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,4645,4221,4824,4345,4741,4950,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018])).
% 172.48/172.31 cnf(5707,plain,
% 172.48/172.31 (~P6(a109,f29(a110,f27(f13(a109,f29(a110,f27(f13(a109,x57071,f4(a109)))),f4(a109)))),x57071)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,392,398,507,409,424,413,389,477,580,5447,391,394,508,387,411,603,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,4645,4221,2281,4824,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452])).
% 172.48/172.31 cnf(5712,plain,
% 172.48/172.31 (P6(a109,f13(a109,x57121,f3(a109)),f13(a109,x57121,f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,5422,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,4645,4254,4221,2281,4824,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613])).
% 172.48/172.31 cnf(5713,plain,
% 172.48/172.31 (P5(a109,x57131,x57131)),
% 172.48/172.31 inference(rename_variables,[],[578])).
% 172.48/172.31 cnf(5717,plain,
% 172.48/172.31 (~P6(a109,f33(f33(f12(a109),f5(a109,x57171,x57171)),x57172),f3(a109))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,4645,4254,4739,4221,2281,4824,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485])).
% 172.48/172.31 cnf(5719,plain,
% 172.48/172.31 (~P5(a110,f22(f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f29(a110,f22(f29(a110,x57191))),f4(a109)))))),x57191)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242])).
% 172.48/172.31 cnf(5721,plain,
% 172.48/172.31 (P5(a109,f3(a109),f29(a110,x57211))),
% 172.48/172.31 inference(rename_variables,[],[603])).
% 172.48/172.31 cnf(5725,plain,
% 172.48/172.31 (P9(x57251,x57252,f31(x57251,f33(f33(f12(a109),f4(a109)),f12(a110)),f2(f114(x57251,a1))),f12(a110))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656])).
% 172.48/172.31 cnf(5726,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x57261),x57261)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5729,plain,
% 172.48/172.31 (~P6(a110,x57291,f14(a110,x57291,x57292))),
% 172.48/172.31 inference(rename_variables,[],[2131])).
% 172.48/172.31 cnf(5731,plain,
% 172.48/172.31 (~P4(x57311,x57312,f14(f114(x57313,a1),f19(a109,f23(f114(a109,a1)),a113),x57314))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,5568,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952])).
% 172.48/172.31 cnf(5733,plain,
% 172.48/172.31 (P78(f33(f36(f33(f33(f12(a109),f4(a109)),x57331)),x57331))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,5568,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775])).
% 172.48/172.31 cnf(5736,plain,
% 172.48/172.31 (P5(a110,x57361,f33(f33(f12(a110),x57361),x57361))),
% 172.48/172.31 inference(rename_variables,[],[627])).
% 172.48/172.31 cnf(5738,plain,
% 172.48/172.31 (~P4(x57381,x57382,f6(f114(x57381,a1),f16(f114(f114(x57381,a1),a1),f6(f114(f114(x57381,a1),a1),f2(f114(f114(f114(x57381,a1),a1),a1))),f19(a109,f23(f114(a109,a1)),a113))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,5568,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514])).
% 172.48/172.31 cnf(5739,plain,
% 172.48/172.31 (~P4(x57391,x57392,f16(f114(x57391,a1),f6(f114(x57391,a1),f2(f114(f114(x57391,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.48/172.31 inference(rename_variables,[],[4052])).
% 172.48/172.31 cnf(5742,plain,
% 172.48/172.31 (P25(f13(a111,a111,f33(f33(f12(a111),f5(a111,x57421,x57421)),x57422)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,5568,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351])).
% 172.48/172.31 cnf(5743,plain,
% 172.48/172.31 (P21(f13(a111,f13(a109,f33(f33(f12(a109),f5(a109,x57431,x57431)),x57432),a1),f3(a111)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,4448,3948,4767,4471,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,5094,4468,5396,4261,2131,5568,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327])).
% 172.48/172.31 cnf(5747,plain,
% 172.48/172.31 (P5(f112(x57471),x57472,f7(f112(x57471),f14(f114(f112(x57471),a1),x57473,f2(f114(f112(x57471),a1)))))),
% 172.48/172.31 inference(rename_variables,[],[3969])).
% 172.48/172.31 cnf(5753,plain,
% 172.48/172.31 (~P4(x57531,x57532,f16(f114(x57531,a1),f6(f114(x57531,a1),f2(f114(f114(x57531,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.48/172.31 inference(rename_variables,[],[4052])).
% 172.48/172.31 cnf(5757,plain,
% 172.48/172.31 (P5(a110,x57571,x57571)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(5759,plain,
% 172.48/172.31 (~P5(a110,f22(f13(a109,f29(a110,x57591),f4(a109))),f13(a110,f33(f33(f12(a110),f5(a110,x57592,x57592)),x57593),x57591))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,661,5498,562,476,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876])).
% 172.48/172.31 cnf(5763,plain,
% 172.48/172.31 (~P6(a110,f13(a110,x57631,x57632),x57632)),
% 172.48/172.31 inference(rename_variables,[],[749])).
% 172.48/172.31 cnf(5766,plain,
% 172.48/172.31 (~P5(a111,f13(a111,x57661,f4(a111)),f13(a111,x57661,f3(a111)))),
% 172.48/172.31 inference(rename_variables,[],[4574])).
% 172.48/172.31 cnf(5768,plain,
% 172.48/172.31 (~P6(a109,f13(a109,f33(f33(f12(a109),f5(a109,x57681,f5(a109,x57682,x57682))),x57683),x57684),f13(a109,f33(f33(f12(a109),x57681),x57683),x57684))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881])).
% 172.48/172.31 cnf(5769,plain,
% 172.48/172.31 (~P6(a109,x57691,f13(a109,f33(f33(f12(a109),f5(a109,x57692,x57692)),x57693),x57691))),
% 172.48/172.31 inference(rename_variables,[],[4254])).
% 172.48/172.31 cnf(5772,plain,
% 172.48/172.31 (~P6(a109,x57721,f13(a109,f33(f33(f12(a109),f5(a109,x57722,x57722)),x57723),x57721))),
% 172.48/172.31 inference(rename_variables,[],[4254])).
% 172.48/172.31 cnf(5774,plain,
% 172.48/172.31 (~P6(a109,f13(a109,f33(f33(f12(a109),x57741),x57742),x57743),f13(a109,f33(f33(f12(a109),x57744),x57742),f13(a109,f33(f33(f12(a109),f5(a109,x57745,x57745)),x57746),f13(a109,f33(f33(f12(a109),f5(a109,x57741,x57744)),x57742),x57743))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870])).
% 172.48/172.31 cnf(5777,plain,
% 172.48/172.31 (~P5(a111,f13(a111,f33(f33(f12(a111),x57771),x57772),f13(a111,f33(f33(f12(a111),f5(a111,x57773,x57771)),x57772),f4(a111))),f13(a111,f33(f33(f12(a111),x57773),x57772),f3(a111)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,643,5393,5419,5578,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869])).
% 172.48/172.31 cnf(5779,plain,
% 172.48/172.31 (P5(f114(x57791,a1),f14(f114(x57791,a1),x57792,f7(f114(x57791,a1),f31(f114(x57791,a1),x57793,x57794))),x57793)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279])).
% 172.48/172.31 cnf(5781,plain,
% 172.48/172.31 (~P78(f33(f19(a109,x57811,f17(a109)),f3(a109)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721])).
% 172.48/172.31 cnf(5783,plain,
% 172.48/172.31 (~P6(a109,f13(a109,f5(a109,f29(a110,x57831),f3(a109)),x57832),x57832)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355])).
% 172.48/172.31 cnf(5788,plain,
% 172.48/172.31 (~P6(f114(x57881,a1),f33(f33(f12(a109),f4(a109)),x57882),x57882)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972])).
% 172.48/172.31 cnf(5790,plain,
% 172.48/172.31 (P5(f114(x57901,a1),x57902,f33(f33(f12(a109),f4(a109)),x57902))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868])).
% 172.48/172.31 cnf(5792,plain,
% 172.48/172.31 (~P4(x57921,f2(f114(x57922,a1)),f31(x57921,f31(x57922,x57923,x57924),f2(f114(x57921,a1))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567])).
% 172.48/172.31 cnf(5795,plain,
% 172.48/172.31 (P5(a110,x57951,f33(f33(f12(a110),x57951),x57951))),
% 172.48/172.31 inference(rename_variables,[],[627])).
% 172.48/172.31 cnf(5798,plain,
% 172.48/172.31 (~P6(a110,f33(f33(f12(a110),x57981),x57981),x57981)),
% 172.48/172.31 inference(rename_variables,[],[4013])).
% 172.48/172.31 cnf(5800,plain,
% 172.48/172.31 (P4(x58001,f33(f33(f12(a109),f4(a109)),x58002),f31(x58001,x58002,x58003))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054])).
% 172.48/172.31 cnf(5805,plain,
% 172.48/172.31 (~P78(f33(f33(f33(f12(a109),f4(a109)),f2(f114(x58051,a1))),x58052))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895])).
% 172.48/172.31 cnf(5806,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x58061),x58061)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5812,plain,
% 172.48/172.31 (P6(a109,f29(a110,f3(a110)),f29(a110,f13(a109,f3(a110),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107])).
% 172.48/172.31 cnf(5814,plain,
% 172.48/172.31 (P5(a110,f22(f3(a109)),x58141)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085])).
% 172.48/172.31 cnf(5821,plain,
% 172.48/172.31 (P5(f114(f114(x58211,a1),a1),x58212,f30(x58211,f6(f114(x58211,a1),x58212)))),
% 172.48/172.31 inference(rename_variables,[],[664])).
% 172.48/172.31 cnf(5823,plain,
% 172.48/172.31 (P4(a109,f54(f14(f114(a109,a1),x58231,f2(f114(a109,a1))),f16(f114(a109,a1),f31(a109,x58232,f2(f114(a109,a1))),x58233),a109),f16(f114(a109,a1),f31(a109,x58232,f2(f114(a109,a1))),x58233))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,564,659,644,5545,750,5397,5487,590,619,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183])).
% 172.48/172.31 cnf(5826,plain,
% 172.48/172.31 (P6(f112(x58261),f6(f112(x58261),f2(f114(f112(x58261),a1))),f16(f112(x58261),x58262,f13(a109,f29(a110,f27(f6(f112(x58261),f2(f114(f112(x58261),a1))))),f4(a109))))),
% 172.48/172.31 inference(rename_variables,[],[4647])).
% 172.48/172.31 cnf(5832,plain,
% 172.48/172.31 (~P24(a110)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,644,5545,750,5397,5487,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921])).
% 172.48/172.31 cnf(5833,plain,
% 172.48/172.31 (E(f5(a110,f3(a110),x58331),f3(a110))),
% 172.48/172.31 inference(rename_variables,[],[593])).
% 172.48/172.31 cnf(5838,plain,
% 172.48/172.31 (~P6(a110,f13(a110,x58381,x58382),x58381)),
% 172.48/172.31 inference(rename_variables,[],[750])).
% 172.48/172.31 cnf(5839,plain,
% 172.48/172.31 (P5(a110,x58391,x58391)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(5842,plain,
% 172.48/172.31 (P5(a109,x58421,x58421)),
% 172.48/172.31 inference(rename_variables,[],[578])).
% 172.48/172.31 cnf(5846,plain,
% 172.48/172.31 (~P5(a109,f33(f33(f12(a109),f5(a109,f3(a109),f4(a109))),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f5(a109,f3(a109),f4(a109)))),f33(f33(f12(a109),f5(a109,f3(a109),f4(a109))),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,644,5545,750,5397,5487,5522,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744])).
% 172.48/172.31 cnf(5850,plain,
% 172.48/172.31 (P6(a111,f14(a111,x58501,f5(a111,x58502,f4(a111))),x58502)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,644,5545,750,5397,5487,5522,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4179,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324])).
% 172.48/172.31 cnf(5854,plain,
% 172.48/172.31 (P5(a110,x58541,f33(f33(f12(a110),x58541),x58541))),
% 172.48/172.31 inference(rename_variables,[],[627])).
% 172.48/172.31 cnf(5858,plain,
% 172.48/172.31 (P5(f112(x58581),x58582,f23(f112(x58581)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,555,644,5545,750,5397,5487,5522,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4179,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810])).
% 172.48/172.31 cnf(5862,plain,
% 172.48/172.31 (~E(f13(a110,x58621,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x58621)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,555,644,5545,750,5397,5487,5522,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,625,5435,679,399,408,485,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,2131,5568,4179,4645,4254,5769,5772,4739,4221,2281,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890])).
% 172.48/172.31 cnf(5876,plain,
% 172.48/172.31 (P4(x58761,x58762,f16(f114(x58761,a1),f31(x58761,x58762,x58763),x58764))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,555,644,5545,657,750,5397,5487,5522,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,4179,4645,4254,5769,5772,4739,4221,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425])).
% 172.48/172.31 cnf(5881,plain,
% 172.48/172.31 (~E(f23(f112(x58811)),f22(f13(a109,f29(a110,f23(f112(x58811))),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,555,644,5545,657,750,5397,5487,5522,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,4179,4645,4254,5769,5772,4739,4221,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802])).
% 172.48/172.31 cnf(5883,plain,
% 172.48/172.31 (~E(f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f4(a111))),f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f3(a111))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,555,644,5545,657,750,5397,5487,5522,590,619,593,578,5422,5713,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,390,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,4179,4645,4254,5769,5772,4739,4221,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800])).
% 172.48/172.31 cnf(5889,plain,
% 172.48/172.31 (~P6(a109,f3(a109),f29(a110,f14(a110,f27(f3(a109)),x58891)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,501,528,587,5451,5472,5519,5565,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,4221,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267])).
% 172.48/172.31 cnf(5890,plain,
% 172.48/172.31 (~P6(a110,x58901,f14(a110,x58901,x58902))),
% 172.48/172.31 inference(rename_variables,[],[2131])).
% 172.48/172.31 cnf(5891,plain,
% 172.48/172.31 (P5(a109,x58911,x58911)),
% 172.48/172.31 inference(rename_variables,[],[578])).
% 172.48/172.31 cnf(5893,plain,
% 172.48/172.31 (P5(a109,f29(a110,f3(a110)),f3(a109))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,4221,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243])).
% 172.48/172.31 cnf(5894,plain,
% 172.48/172.31 (P5(a110,f3(a110),x58941)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5898,plain,
% 172.48/172.31 (~P5(a110,f13(a110,f13(a110,x58981,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x58982),x58982)),
% 172.48/172.31 inference(rename_variables,[],[4660])).
% 172.48/172.31 cnf(5900,plain,
% 172.48/172.31 (E(f5(a111,f13(a111,x59001,x59002),x59002),x59001)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100])).
% 172.48/172.31 cnf(5902,plain,
% 172.48/172.31 (E(x59021,f60(f31(x59022,x59021,f14(f114(x59023,a1),f19(a109,f23(f114(a109,a1)),a113),x59024))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,5300,4170,4430,5548,2477,4475,5140,4903,4774,4769,5025,4013,4016,4452,4694,4210,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558])).
% 172.48/172.31 cnf(5911,plain,
% 172.48/172.31 (~P6(a109,f33(f33(f12(a109),f29(a110,x59111)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f33(f33(f12(a109),f3(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.31 inference(rename_variables,[],[4210])).
% 172.48/172.31 cnf(5912,plain,
% 172.48/172.31 (~P6(a109,f33(f33(f12(a109),f3(a109)),x59121),f33(f33(f12(a109),f29(a110,f27(f3(a109)))),x59121))),
% 172.48/172.31 inference(rename_variables,[],[4774])).
% 172.48/172.31 cnf(5917,plain,
% 172.48/172.31 (P5(a110,x59171,x59171)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(5926,plain,
% 172.48/172.31 (~P6(a111,f3(a111),f13(a111,f33(f33(f12(a111),f33(f33(f12(a109),f4(a109)),f3(a111))),f33(f33(f12(a109),f4(a109)),f3(a111))),f33(f33(f12(a111),f33(f33(f12(a109),f4(a109)),f3(a111))),f33(f33(f12(a109),f4(a109)),f3(a111)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822])).
% 172.48/172.31 cnf(5928,plain,
% 172.48/172.31 (~P5(a111,f13(a111,f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f4(a111)))),f3(a111)),f13(a111,f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f3(a111)))),f3(a111)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,453,458,530,536,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846])).
% 172.48/172.31 cnf(5929,plain,
% 172.48/172.31 (P5(a111,x59291,x59291)),
% 172.48/172.31 inference(rename_variables,[],[580])).
% 172.48/172.31 cnf(5933,plain,
% 172.48/172.31 (~E(f13(a111,f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))),f3(a111))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889])).
% 172.48/172.31 cnf(5935,plain,
% 172.48/172.31 (~P6(a110,f33(f33(f12(a109),f4(a109)),f3(a111)),f3(a111))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888])).
% 172.48/172.31 cnf(5936,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x59361),x59361)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5938,plain,
% 172.48/172.31 (~P4(x59381,x59382,f33(f33(f12(a109),f4(a109)),f2(f114(x59381,a1))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983])).
% 172.48/172.31 cnf(5939,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x59391),x59391)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5942,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x59421),x59421)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5945,plain,
% 172.48/172.31 (P5(a109,x59451,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,x59451,f4(a109))))))),
% 172.48/172.31 inference(rename_variables,[],[4826])).
% 172.48/172.31 cnf(5947,plain,
% 172.48/172.31 (P6(a110,f3(a110),f5(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4481,3554,3345,5059,5673,4759,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,4826,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211])).
% 172.48/172.31 cnf(5953,plain,
% 172.48/172.31 (~P6(f114(x59531,a109),x59532,x59532)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,4826,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249])).
% 172.48/172.31 cnf(5955,plain,
% 172.48/172.31 (P5(a110,x59551,f13(a110,x59552,f33(f33(f12(a110),x59551),x59551)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,4826,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195])).
% 172.48/172.31 cnf(5957,plain,
% 172.48/172.31 (P6(a110,x59571,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x59571),f4(a109)),f4(a109)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,657,750,5397,5487,5522,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561])).
% 172.48/172.31 cnf(5965,plain,
% 172.48/172.31 (P5(f114(x59651,a1),x59652,f31(x59651,x59653,x59652))),
% 172.48/172.31 inference(rename_variables,[],[644])).
% 172.48/172.31 cnf(5967,plain,
% 172.48/172.31 (~P5(a110,f13(a110,f33(f33(f12(a110),f13(a110,x59671,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f13(a110,x59671,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x59672),x59672)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617])).
% 172.48/172.31 cnf(5968,plain,
% 172.48/172.31 (P5(a110,x59681,f33(f33(f12(a110),x59681),x59681))),
% 172.48/172.31 inference(rename_variables,[],[627])).
% 172.48/172.31 cnf(5969,plain,
% 172.48/172.31 (~P5(a110,f13(a110,f13(a110,x59691,f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x59692),x59692)),
% 172.48/172.31 inference(rename_variables,[],[4660])).
% 172.48/172.31 cnf(5971,plain,
% 172.48/172.31 (~E(f13(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),x59711),f3(a110))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894])).
% 172.48/172.31 cnf(5973,plain,
% 172.48/172.31 (E(f29(a110,f33(f33(f12(a109),f4(a109)),f3(a110))),f3(a109))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756])).
% 172.48/172.31 cnf(5974,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x59741),x59741)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(5978,plain,
% 172.48/172.31 (E(f14(f114(x59781,a1),f2(f114(x59781,a1)),x59782),f2(f114(x59783,a1)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,2100,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832])).
% 172.48/172.31 cnf(5980,plain,
% 172.48/172.31 (~P5(f114(f114(a109,a1),a1),f14(f114(f114(a109,a1),a1),f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1)),f23(f114(f114(a109,a1),a1))),f2(f114(f114(a109,a1),a1)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,1912,5510,5513,434,487,559,564,659,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,2100,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162])).
% 172.48/172.31 cnf(5991,plain,
% 172.48/172.31 (E(f13(a110,f33(f33(f12(a110),x59911),x59912),x59913),f13(a110,f33(f33(f12(a110),f5(a110,f13(a110,f3(a110),x59911),f3(a110))),x59912),x59913))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,724,670,1912,5510,5513,434,487,559,564,659,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,5894,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,2100,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833])).
% 172.48/172.31 cnf(5992,plain,
% 172.48/172.31 (P5(a110,f3(a110),x59921)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(5995,plain,
% 172.48/172.31 (~E(x59951,f13(a109,f33(f33(f12(a109),f5(a109,x59952,x59953)),x59954),f13(a110,f13(a109,f33(f33(f12(a109),f5(a109,x59953,x59952)),x59954),x59951),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,724,670,1912,5510,5513,434,487,559,564,659,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,5894,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,2100,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841])).
% 172.48/172.31 cnf(5998,plain,
% 172.48/172.31 (~P6(a109,x59981,x59981)),
% 172.48/172.31 inference(rename_variables,[],[1912])).
% 172.48/172.31 cnf(6004,plain,
% 172.48/172.31 (P6(a109,x60041,f16(a109,f13(a109,f29(a110,f27(x60041)),f4(a109)),x60042))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,724,670,1912,5510,5513,5603,434,487,559,564,659,388,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,5894,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,2100,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234])).
% 172.48/172.31 cnf(6006,plain,
% 172.48/172.31 (P5(a110,x60061,f5(a110,f13(a110,x60061,x60062),x60062))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,724,670,1912,5510,5513,5603,434,487,559,564,659,388,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,5894,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,3083,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,2100,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677])).
% 172.48/172.31 cnf(6013,plain,
% 172.48/172.31 (P78(f33(f19(f112(x60131),f31(f112(x60131),x60132,x60133),f6(f114(f112(x60131),a1),f2(f114(f114(f112(x60131),a1),a1)))),x60132))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,5894,749,5763,661,5498,562,476,639,491,541,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4419,4213,2355,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,3083,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,3731,2501,2100,3274,2181,2290,1989,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577])).
% 172.48/172.31 cnf(6019,plain,
% 172.48/172.31 (P5(f114(x60191,a1),x60192,f31(x60191,x60193,x60192))),
% 172.48/172.31 inference(rename_variables,[],[644])).
% 172.48/172.31 cnf(6022,plain,
% 172.48/172.31 (P6(a109,x60221,f13(a109,f29(a110,f27(x60221)),f4(a109)))),
% 172.48/172.31 inference(rename_variables,[],[661])).
% 172.48/172.31 cnf(6025,plain,
% 172.48/172.31 (P5(a109,f3(a109),f29(a110,x60251))),
% 172.48/172.31 inference(rename_variables,[],[603])).
% 172.48/172.31 cnf(6032,plain,
% 172.48/172.31 (P5(f114(x60321,a1),x60322,f31(x60321,x60323,x60322))),
% 172.48/172.31 inference(rename_variables,[],[644])).
% 172.48/172.31 cnf(6034,plain,
% 172.48/172.31 (~P6(a109,f29(a110,f27(f16(a109,f13(a109,x60341,f29(a110,f22(f4(a109)))),x60342))),x60341)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,583,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,5894,749,5763,661,5498,562,476,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,3083,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614])).
% 172.48/172.31 cnf(6035,plain,
% 172.48/172.31 (P5(a109,x60351,f29(a110,f22(x60351)))),
% 172.48/172.31 inference(rename_variables,[],[606])).
% 172.48/172.31 cnf(6041,plain,
% 172.48/172.31 (~P5(a110,f27(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,565,738,390,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,749,5763,661,5498,562,476,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,3083,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074])).
% 172.48/172.31 cnf(6043,plain,
% 172.48/172.31 (P5(a110,f3(a110),x60431)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(6045,plain,
% 172.48/172.31 (~P6(a111,f3(a111),f13(a111,f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,749,5763,661,5498,562,476,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,3083,4660,5898,2281,2314,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091])).
% 172.48/172.31 cnf(6058,plain,
% 172.48/172.31 (P6(a109,f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f5(a109,f3(a109),f4(a109))),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,749,5763,661,5498,562,476,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134])).
% 172.48/172.31 cnf(6066,plain,
% 172.48/172.31 (P5(a110,x60661,x60661)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(6067,plain,
% 172.48/172.31 (P5(a110,f3(a110),x60671)),
% 172.48/172.31 inference(rename_variables,[],[587])).
% 172.48/172.31 cnf(6071,plain,
% 172.48/172.31 (P6(a109,x60711,f29(a110,f33(f33(f12(a110),f13(a110,f27(x60711),f4(a110))),f13(a110,f27(x60711),f4(a110)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435])).
% 172.48/172.31 cnf(6072,plain,
% 172.48/172.31 (P5(a110,x60721,f33(f33(f12(a110),x60721),x60721))),
% 172.48/172.31 inference(rename_variables,[],[627])).
% 172.48/172.31 cnf(6074,plain,
% 172.48/172.31 (P15(a110,f13(a110,f33(f33(f12(a110),f5(a110,x60741,x60741)),x60742),f33(f12(a110),f3(a110))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368])).
% 172.48/172.31 cnf(6075,plain,
% 172.48/172.31 (P10(f112(x60751),f23(f114(x60752,a1)),f60(f31(x60753,f6(f112(x60751),f14(f114(f112(x60751),a1),f2(f114(f112(x60751),a1)),x60754)),f14(f114(x60755,a1),f19(a109,f23(f114(a109,a1)),a113),x60756))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357])).
% 172.48/172.31 cnf(6076,plain,
% 172.48/172.31 (P9(f2(f112(x60761)),x60762,f31(f33(f33(f12(a109),f4(a109)),f2(f112(x60761))),x60763,f2(f114(f33(f33(f12(a109),f4(a109)),f2(f112(x60761))),a1))),x60763)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,607,608,724,670,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345])).
% 172.48/172.31 cnf(6077,plain,
% 172.48/172.31 (~P23(f16(f114(x60771,a1),f2(f114(x60771,a1)),f18(x60772,a110,f23(f114(x60772,a1)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,607,608,724,670,624,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4613,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344])).
% 172.48/172.31 cnf(6078,plain,
% 172.48/172.31 (E(f16(f114(x60781,a1),f2(f114(x60781,a1)),x60782),x60782)),
% 172.48/172.31 inference(rename_variables,[],[624])).
% 172.48/172.31 cnf(6079,plain,
% 172.48/172.31 (~P33(f16(f114(x60791,a1),f2(f114(x60791,a1)),f18(x60792,a110,f23(f114(x60792,a1)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,607,608,724,670,624,6078,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4430,5548,4613,4614,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339])).
% 172.48/172.31 cnf(6080,plain,
% 172.48/172.31 (E(f16(f114(x60801,a1),f2(f114(x60801,a1)),x60802),x60802)),
% 172.48/172.31 inference(rename_variables,[],[624])).
% 172.48/172.31 cnf(6085,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x60851),x60851)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6086,plain,
% 172.48/172.31 (P8(x60861,x60862,x60863,x60864,f2(f114(x60861,a1)),x60864)),
% 172.48/172.31 inference(rename_variables,[],[733])).
% 172.48/172.31 cnf(6087,plain,
% 172.48/172.31 (P13(f112(f3(a110)),f6(f114(f112(f2(a110)),a1),f2(f114(f114(f112(f2(a110)),a1),a1))),x60871)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,733,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297])).
% 172.48/172.31 cnf(6088,plain,
% 172.48/172.31 (P5(f114(f3(a110),a1),f16(f114(f2(a110),a1),f7(f114(f2(a110),a1),x60881),f7(f114(f2(a110),a1),x60882)),f7(f114(f2(a110),a1),f14(f114(f114(f2(a110),a1),a1),x60881,x60882)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,733,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290])).
% 172.48/172.31 cnf(6092,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x60921),x60921)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6093,plain,
% 172.48/172.31 (~P3(f33(f33(f12(a109),f4(a109)),f18(x60931,a109,f23(f114(x60931,a1)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,733,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284])).
% 172.48/172.31 cnf(6094,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x60941),x60941)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6098,plain,
% 172.48/172.31 (P6(a109,x60981,f16(a109,x60982,f13(a109,f29(a110,f27(x60981)),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,733,409,424,413,389,477,580,5447,500,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5153,4052,5632,5645,5739,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4617,4909,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233])).
% 172.48/172.31 cnf(6106,plain,
% 172.48/172.31 (~P5(a110,f47(f3(a110),f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1)))),a110),f3(a110))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,733,409,424,413,389,477,580,5447,500,557,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792])).
% 172.48/172.31 cnf(6116,plain,
% 172.48/172.31 (~P5(a111,f13(a111,f33(f33(f12(a111),x61161),x61162),f4(a111)),f13(a111,f33(f33(f12(a111),x61163),x61162),f13(a111,f33(f33(f12(a111),f5(a111,x61161,x61163)),x61162),f3(a111))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,500,557,391,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,4774,5478,5912,4816,4769,5025,4013,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871])).
% 172.48/172.31 cnf(6123,plain,
% 172.48/172.31 (P6(a109,x61231,f13(a109,f29(a110,f27(x61231)),f4(a109)))),
% 172.48/172.31 inference(rename_variables,[],[661])).
% 172.48/172.31 cnf(6131,plain,
% 172.48/172.31 (~P6(a110,f33(f33(f12(a110),f13(a110,x61311,x61312)),f13(a110,x61311,x61312)),x61312)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,500,557,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191])).
% 172.48/172.31 cnf(6138,plain,
% 172.48/172.31 (P5(a110,f13(a110,x61381,f3(a110)),x61381)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,500,557,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002])).
% 172.48/172.31 cnf(6142,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x61421),x61421)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6144,plain,
% 172.48/172.31 (P5(f114(x61441,a1),x61442,f31(x61441,x61443,f33(f33(f12(a109),f4(a109)),x61442)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,500,557,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291])).
% 172.48/172.31 cnf(6145,plain,
% 172.48/172.31 (P5(f114(x61451,a1),x61452,f31(x61451,x61453,x61452))),
% 172.48/172.31 inference(rename_variables,[],[644])).
% 172.48/172.31 cnf(6150,plain,
% 172.48/172.31 (~P6(f114(a109,a1),f16(f114(a109,a1),f31(a109,x61501,f2(f114(a109,a1))),x61502),f14(f114(a109,a1),x61503,f2(f114(a109,a1))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,2281,2314,2246,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142])).
% 172.48/172.31 cnf(6154,plain,
% 172.48/172.31 (P5(a110,x61541,x61541)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(6156,plain,
% 172.48/172.31 (~P6(a111,f13(a111,f33(f33(f12(a111),x61561),x61562),f33(f33(f12(a111),f5(a111,x61563,x61561)),x61562)),f13(a111,f33(f33(f12(a111),x61563),x61562),f3(a111)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868])).
% 172.48/172.31 cnf(6159,plain,
% 172.48/172.31 (~P6(a111,f13(a111,f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f4(a111))),f3(a111)),f3(a111))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799])).
% 172.48/172.31 cnf(6160,plain,
% 172.48/172.31 (P5(a111,x61601,x61601)),
% 172.48/172.31 inference(rename_variables,[],[580])).
% 172.48/172.31 cnf(6162,plain,
% 172.48/172.31 (P5(a110,x61621,f14(a110,x61621,x61621))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,2455,5429,5432,5535,5538,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408])).
% 172.48/172.31 cnf(6170,plain,
% 172.48/172.31 (P5(a109,f3(a109),f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985])).
% 172.48/172.31 cnf(6176,plain,
% 172.48/172.31 (P5(f114(x61761,a1),f19(a111,f2(f114(a111,a1)),x61762),x61763)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358])).
% 172.48/172.31 cnf(6179,plain,
% 172.48/172.31 (~P6(a110,f13(a110,x61791,x61792),x61791)),
% 172.48/172.31 inference(rename_variables,[],[750])).
% 172.48/172.31 cnf(6185,plain,
% 172.48/172.31 (P5(f114(x61851,a1),f14(f114(x61851,a1),x61852,x61853),x61852)),
% 172.48/172.31 inference(rename_variables,[],[660])).
% 172.48/172.31 cnf(6188,plain,
% 172.48/172.31 (P6(a111,x61881,f16(a111,f13(a111,x61881,f4(a111)),x61882))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326])).
% 172.48/172.31 cnf(6194,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x61941),x61941)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6202,plain,
% 172.48/172.31 (~E(f13(a111,x62021,f4(a111)),x62021)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917])).
% 172.48/172.31 cnf(6204,plain,
% 172.48/172.31 (~E(f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967])).
% 172.48/172.31 cnf(6206,plain,
% 172.48/172.31 (~P5(a109,f3(a109),f5(a109,f3(a109),f29(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303])).
% 172.48/172.31 cnf(6213,plain,
% 172.48/172.31 (P5(a110,x62131,f33(f33(f12(a110),x62131),x62131))),
% 172.48/172.31 inference(rename_variables,[],[627])).
% 172.48/172.31 cnf(6216,plain,
% 172.48/172.31 (~P5(a111,f13(a111,f4(a111),f4(a111)),f4(a111))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027])).
% 172.48/172.31 cnf(6220,plain,
% 172.48/172.31 (E(f33(f33(f33(f12(a109),f4(a109)),x62201),x62202),f33(x62201,x62202))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6])).
% 172.48/172.31 cnf(6221,plain,
% 172.48/172.31 (E(f2(f114(x62211,a1)),f13(a110,f3(a110),f2(f114(x62212,a1))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833])).
% 172.48/172.31 cnf(6223,plain,
% 172.48/172.31 (~E(f13(a109,f33(f33(f12(a109),f5(a109,x62231,x62232)),x62233),f13(a110,f13(a109,f33(f33(f12(a109),f5(a109,x62232,x62231)),x62233),x62234),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x62234)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842])).
% 172.48/172.31 cnf(6228,plain,
% 172.48/172.31 (P5(a110,f33(f33(f12(a109),f4(a109)),x62281),x62281)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783])).
% 172.48/172.31 cnf(6230,plain,
% 172.48/172.31 (P6(a109,f5(a109,f5(a109,x62301,f4(a109)),f29(a110,f27(x62301))),f3(a109))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247])).
% 172.48/172.31 cnf(6233,plain,
% 172.48/172.31 (P49(f112(x62331))),
% 172.48/172.31 inference(rename_variables,[],[559])).
% 172.48/172.31 cnf(6238,plain,
% 172.48/172.31 (~P6(a111,x62381,x62381)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5151,5153,4052,5632,5645,5739,5753,4448,4647,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094])).
% 172.48/172.31 cnf(6244,plain,
% 172.48/172.31 (~P6(f112(x62441),f16(f112(x62441),x62442,f13(a109,f29(a110,f27(f6(f112(x62441),f2(f114(f112(x62441),a1))))),f4(a109))),f6(f112(x62441),f2(f114(f112(x62441),a1))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095])).
% 172.48/172.31 cnf(6257,plain,
% 172.48/172.31 (~P5(f112(x62571),f23(f112(x62571)),f14(f112(x62571),x62572,f22(f13(a109,f29(a110,f23(f112(x62571))),f4(a109)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015])).
% 172.48/172.31 cnf(6263,plain,
% 172.48/172.31 (~P6(a109,x62631,f13(a109,f33(f33(f12(a109),x62632),x62633),f13(a109,f33(f33(f12(a109),f5(a109,f5(a109,x62634,x62634),x62632)),x62633),x62631)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,596,742,519,382,518,594,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449])).
% 172.48/172.31 cnf(6272,plain,
% 172.48/172.31 (P10(a110,f31(x62721,x62722,f23(f114(x62721,a1))),f3(a110))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356])).
% 172.48/172.31 cnf(6273,plain,
% 172.48/172.31 (P10(f13(a110,f3(a110),a110),f23(f114(x62731,a1)),f3(a110))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355])).
% 172.48/172.31 cnf(6274,plain,
% 172.48/172.31 (~P24(f16(f114(x62741,a1),f2(f114(x62741,a1)),f18(x62742,f114(x62743,a1),f23(f114(x62742,a1)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349])).
% 172.48/172.31 cnf(6276,plain,
% 172.48/172.31 (P12(f112(f3(a110)),f6(f112(f2(a110)),f14(f114(f112(f2(a110)),a1),f2(f114(f112(f2(a110)),a1)),x62761)),f23(f114(x62762,a1)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310])).
% 172.48/172.31 cnf(6277,plain,
% 172.48/172.31 (P8(x62771,x62772,x62773,f33(f33(f12(a109),f4(a109)),f3(a111)),f2(f114(x62771,a1)),f3(a111))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,583,655,584,668,607,608,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306])).
% 172.48/172.31 cnf(6278,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x62781),x62781)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6279,plain,
% 172.48/172.31 (P8(x62791,x62792,x62793,x62794,f2(f114(x62791,a1)),x62794)),
% 172.48/172.31 inference(rename_variables,[],[733])).
% 172.48/172.31 cnf(6280,plain,
% 172.48/172.31 (~P17(f33(f33(f12(a109),f4(a109)),f114(a109,a1)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,583,655,584,668,607,608,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293])).
% 172.48/172.31 cnf(6281,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x62811),x62811)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6282,plain,
% 172.48/172.31 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x62821),f4(a111)),x62821)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,583,655,584,668,607,608,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288])).
% 172.48/172.31 cnf(6284,plain,
% 172.48/172.31 (P4(f112(f2(a110)),x62841,f16(f114(f112(f2(a110)),a1),x62842,f31(f112(f2(a110)),x62841,x62843)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,583,655,584,694,668,607,608,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283])).
% 172.48/172.31 cnf(6286,plain,
% 172.48/172.31 (P4(x62861,x62862,f31(x62861,x62862,x62863))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(6290,plain,
% 172.48/172.31 (E(x62901,f33(f33(f12(a109),f4(a109)),x62901))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2])).
% 172.48/172.31 cnf(6291,plain,
% 172.48/172.31 (E(f31(x62911,x62912,f33(f33(f12(a109),f4(a109)),x62913)),f31(x62911,x62912,x62913))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43])).
% 172.48/172.31 cnf(6293,plain,
% 172.48/172.31 (P6(a110,x62931,f22(f13(a109,f29(a110,f13(a110,f3(a110),f33(f33(f12(a109),f4(a109)),x62931))),f4(a109))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287])).
% 172.48/172.31 cnf(6295,plain,
% 172.48/172.31 (E(f5(x62951,f33(f33(f12(a109),f4(a109)),x62952),x62953),f5(x62951,x62952,x62953))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20])).
% 172.48/172.31 cnf(6296,plain,
% 172.48/172.31 (P4(x62961,x62962,f31(x62961,f33(f33(f12(a109),f4(a109)),x62962),x62963))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282])).
% 172.48/172.31 cnf(6297,plain,
% 172.48/172.31 (P4(x62971,x62972,f31(x62971,x62972,x62973))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(6299,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x62991),x62991)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6300,plain,
% 172.48/172.31 (E(f33(f33(f12(a111),f4(a111)),x63001),x63001)),
% 172.48/172.31 inference(rename_variables,[],[583])).
% 172.48/172.31 cnf(6301,plain,
% 172.48/172.31 (E(f33(x63011,f33(f33(f12(a109),f4(a109)),x63012)),f33(x63011,x63012))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7])).
% 172.48/172.31 cnf(6302,plain,
% 172.48/172.31 (~P12(f33(f33(f12(a110),a109),f4(a110)),f47(a115,a113,a109),f33(f33(f12(a109),f4(a109)),f5(a110,f13(a110,x63021,a113),x63021)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312])).
% 172.48/172.31 cnf(6303,plain,
% 172.48/172.31 (E(f33(f33(f12(a109),f4(a109)),x63031),x63031)),
% 172.48/172.31 inference(rename_variables,[],[581])).
% 172.48/172.31 cnf(6304,plain,
% 172.48/172.31 (P8(x63041,x63042,x63043,x63044,f2(f114(f33(f33(f12(a109),f4(a109)),x63041),a1)),x63044)),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301])).
% 172.48/172.31 cnf(6306,plain,
% 172.48/172.31 (P4(x63061,x63062,f31(f33(f33(f12(a109),f4(a109)),x63061),x63062,x63063))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281])).
% 172.48/172.31 cnf(6307,plain,
% 172.48/172.31 (P4(x63071,x63072,f31(x63071,x63072,x63073))),
% 172.48/172.31 inference(rename_variables,[],[643])).
% 172.48/172.31 cnf(6308,plain,
% 172.48/172.31 (~P78(f33(f33(f12(a109),f4(a109)),f33(f14(f114(x63081,a1),f2(f114(x63081,a1)),x63082),f59(f14(f114(x63081,a1),f2(f114(x63081,a1)),x63082)))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280])).
% 172.48/172.31 cnf(6310,plain,
% 172.48/172.31 (E(f29(x63101,f33(f33(f12(a111),f4(a111)),x63102)),f29(x63101,x63102))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29])).
% 172.48/172.31 cnf(6312,plain,
% 172.48/172.31 (E(f13(x63121,x63122,f33(f33(f12(a111),f4(a111)),x63123)),f13(x63121,x63122,x63123))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,2509,3731,2501,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16])).
% 172.48/172.31 cnf(6323,plain,
% 172.48/172.31 (~P4(x63231,x63232,f14(f114(x63231,a1),f2(f114(x63231,a1)),x63233))),
% 172.48/172.31 inference(rename_variables,[],[2803])).
% 172.48/172.31 cnf(6326,plain,
% 172.48/172.31 (~P78(f33(f19(a110,f23(f114(a110,a1)),f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1))))),f2(a110)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4348,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,1918,2509,3731,2501,2803,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16,1549,1654,1798,1668,1050])).
% 172.48/172.31 cnf(6328,plain,
% 172.48/172.31 (~P78(f33(f19(a110,x63281,f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1))))),f3(a110)))),
% 172.48/172.31 inference(rename_variables,[],[3641])).
% 172.48/172.31 cnf(6330,plain,
% 172.48/172.31 (~P78(f33(f16(f114(x63301,a1),f36(f4(a109)),f36(f4(a109))),f79(f16(f114(x63301,a1),f36(f4(a109)),f36(f4(a109))),f14(f114(x63302,a1),f2(f114(x63302,a1)),x63303),f31(x63302,f78(f36(f4(a109)),f30(x63304,f3(a109)),x63305,f114(x63304,a1)),x63306),x63302)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4716,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4348,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,4909,3641,3616,3618,2869,2871,5598,2779,2756,1918,2509,3731,2501,2803,6323,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16,1549,1654,1798,1668,1050,1873])).
% 172.48/172.31 cnf(6332,plain,
% 172.48/172.31 (P78(f33(f19(a109,a113,f14(f114(x63321,a1),f2(f114(a109,a1)),f2(f114(a109,a1)))),f85(f19(a109,a113,f14(f114(x63321,a1),f2(f114(a109,a1)),f2(f114(a109,a1)))),f14(f114(a109,a1),x63322,f2(f114(a109,a1))),a113,a109)))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4716,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4348,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,2839,4909,3641,3616,3618,2869,2871,5598,2779,2756,1918,2509,3731,2501,2803,6323,2805,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3651,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16,1549,1654,1798,1668,1050,1873,1863])).
% 172.48/172.31 cnf(6336,plain,
% 172.48/172.31 (~P78(f33(f19(a110,x63361,f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1))))),f5(a110,f3(a110),f4(a110))))),
% 172.48/172.31 inference(scs_inference,[],[381,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,657,750,5397,5487,5522,5838,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4716,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4751,5417,4082,5303,4348,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,5267,2839,4909,3641,6328,3616,3618,2869,2871,5598,2779,2756,1918,2509,3731,2501,2803,6323,2805,2807,2100,3274,2181,2290,1989,1916,1964,1926,5492,3311,2105,3296,3284,3269,2455,5429,5432,5535,5538,3651,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16,1549,1654,1798,1668,1050,1873,1863,1862,1684])).
% 172.48/172.31 cnf(6344,plain,
% 172.48/172.31 (~P4(x63441,x63442,f14(f114(x63443,a1),f2(f114(x63441,a1)),f2(f114(x63441,a1))))),
% 172.48/172.31 inference(rename_variables,[],[1947])).
% 172.48/172.31 cnf(6350,plain,
% 172.48/172.31 (~P6(a110,f33(f33(f24(a110),f13(a109,f3(a110),f4(a109))),f13(a110,x63501,x63502)),f33(f33(f24(a110),f13(a109,f3(a110),f4(a109))),x63501))),
% 172.48/172.31 inference(scs_inference,[],[381,449,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,6145,657,750,5397,5487,5522,5838,6179,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,6307,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,396,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4716,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4127,4751,5417,4082,5303,4348,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,5392,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,5267,2839,4909,3641,6328,3616,3618,2869,2871,5598,2779,2756,1918,2509,3731,2501,2803,6323,2805,2807,1947,6344,2100,3274,2181,2290,1989,5462,1916,1964,1926,5492,3311,2105,3296,3284,3269,2044,2455,5429,5432,5535,5538,3651,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16,1549,1654,1798,1668,1050,1873,1863,1862,1684,774,1901,1883,1284,1900,1690])).
% 172.48/172.31 cnf(6354,plain,
% 172.48/172.31 (~P5(a111,f4(a111),f13(a111,f33(f33(f12(a111),f5(a111,x63541,x63541)),x63542),f3(a111)))),
% 172.48/172.31 inference(scs_inference,[],[381,449,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,6145,657,750,5397,5487,5522,5838,6179,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,6307,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,396,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4716,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4127,4751,5417,4082,5303,4348,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,5392,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,3943,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,5267,2839,4909,3641,6328,3616,3618,2869,2871,5598,2779,2756,1918,2509,3731,2501,2803,6323,2805,2807,1947,6344,2100,3274,2181,2290,1989,5462,1916,1964,1926,5492,3311,2105,3296,3284,3269,2044,2455,5429,5432,5535,5538,3651,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16,1549,1654,1798,1668,1050,1873,1863,1862,1684,774,1901,1883,1284,1900,1690,1824,1424])).
% 172.48/172.31 cnf(6356,plain,
% 172.48/172.31 (P4(x63561,f87(f31(x63561,f33(f33(f12(a109),x63562),x63562),x63563),f31(x63561,f33(f33(f12(a109),x63562),x63562),x63563),x63561),f31(x63561,f33(f33(f12(a109),x63562),x63562),x63563))),
% 172.48/172.31 inference(scs_inference,[],[381,449,490,571,664,5579,5821,726,581,5640,5667,5726,5806,5936,5939,5942,5974,6085,6092,6094,6142,6194,6278,6281,6299,6303,583,6300,655,584,694,668,607,608,649,724,670,673,624,6078,6080,1912,5510,5513,5603,5998,434,487,546,558,559,6233,564,659,660,6185,388,555,644,5545,5585,5965,6019,6032,6145,657,750,5397,5487,5522,5838,6179,590,748,653,619,593,5833,578,5422,5713,5842,5891,579,5450,5471,5564,5628,5757,5839,5917,6066,6154,430,432,437,453,458,459,530,536,542,643,5393,5419,5578,5594,5593,6286,6297,6307,556,615,5398,747,604,744,627,5501,5736,5795,5854,5968,6072,6213,625,5435,679,399,408,480,485,565,738,390,641,588,384,393,436,454,501,528,587,5451,5472,5519,5565,5678,5894,5992,6043,6067,749,5763,661,5498,6022,6123,562,476,752,406,741,492,639,491,541,606,6035,743,5401,5555,512,467,397,647,392,398,415,507,637,733,6086,6279,409,424,413,389,477,580,5447,5929,6160,500,557,383,391,735,394,506,508,387,385,411,603,5444,5721,6025,503,466,396,407,445,446,502,444,1911,596,742,519,382,518,594,4354,4649,4971,5239,5233,4973,4419,4213,2355,4455,5124,4310,5000,3969,5747,3971,4670,3959,4045,3556,4822,4371,5544,3965,4872,5438,5636,3973,5541,4525,4150,4635,5505,5532,5616,5631,5635,5204,4557,5074,5151,5153,4052,5632,5645,5739,5753,4448,4647,5826,4672,4224,2493,3948,4656,4716,4767,4860,4471,2859,4229,4853,5083,4481,3554,5039,3345,4143,3550,5059,5673,5677,4759,2263,5096,4127,4751,5417,4082,5303,4348,4868,5056,5047,4862,5182,4402,3457,3945,2949,4543,5044,3745,5300,4170,4621,4430,5548,4613,4614,4634,4541,2477,4475,4562,5007,2451,5140,4903,3239,4323,4611,3866,4774,5478,5912,4816,4769,5025,4013,5798,4016,4452,4694,5392,4210,5479,5911,4495,5291,4782,2212,4848,1983,5094,4468,5396,4920,4261,4886,2131,5568,5729,5890,4179,4183,4645,4254,5769,5772,4739,2251,4221,4157,3083,4660,5898,5969,2281,2314,2246,3943,5172,4824,4826,5945,5142,4345,4741,4950,5495,4479,4959,4491,5456,4934,4726,4574,5766,5086,5089,5126,2497,4473,4337,2504,3735,3767,4030,3979,4240,2472,5296,4747,4754,4617,2913,5267,2839,4909,3641,6328,3616,3618,2869,2871,5598,2779,2756,1918,2509,3731,2501,2803,6323,2805,2807,1947,6344,2100,3274,2181,2290,1989,5462,1916,1964,1926,5492,3311,2105,3296,3284,3269,2044,2455,5429,5432,5535,5538,3651,3252,2288,1903,1264,1905,1856,842,820,815,804,346,1648,1781,1397,1895,1229,1228,1891,1887,1727,1642,1641,1783,1392,1878,1864,1906,1632,1616,1615,1728,1004,965,1189,1455,1170,1169,1167,1451,1166,1278,1250,874,901,900,1041,1534,1531,1398,376,320,272,1201,1157,1231,1230,926,1661,1844,1843,1759,1118,1411,1112,1649,1198,1331,1019,1446,1254,1334,1362,1880,1021,1405,1357,1750,1709,780,1055,1422,1655,1258,1158,1098,1671,1275,1434,1857,1855,892,1308,937,910,1097,1770,1304,990,1217,980,934,1005,1592,1072,276,1831,1402,991,1237,1443,912,939,1725,1489,935,1018,1013,1675,1452,1432,1613,1612,1485,1242,883,1656,1102,952,775,1532,1514,375,351,327,1606,1341,1340,1156,1679,1876,1875,1882,1881,1879,1870,1869,1279,1721,1355,1806,972,868,1567,1312,1193,1054,1048,895,1560,1108,1107,1085,922,1533,1490,1183,911,1238,1236,921,1650,1748,1747,1745,1744,933,1324,1311,1220,810,893,890,1056,1423,1421,1416,1084,1425,1161,802,800,1133,1267,1243,1590,1100,1558,1390,1591,1168,966,1280,1433,1706,1705,1822,1846,969,889,888,983,881,1138,1211,959,1339,1249,1195,1561,1417,1673,1360,1617,894,756,8,832,1162,927,1083,1834,1833,1841,1165,896,1010,1234,1677,1524,882,1577,897,1215,1363,1033,785,1329,1361,1614,302,877,1074,1091,957,1431,1430,1450,1012,1134,876,1573,1782,902,1435,368,357,345,344,339,311,305,304,297,290,286,284,1478,1233,1079,1594,1335,1792,1867,1866,1885,1871,1726,1270,1896,1802,1698,1191,1332,1020,1002,1182,291,1345,1235,1142,1680,1868,1799,1408,1740,1710,968,985,1657,1320,1358,1319,1159,1124,1326,1197,993,1075,1337,917,967,1303,1343,1154,1027,1325,6,833,1842,1832,783,1247,1173,995,1094,851,1122,1095,1090,997,1155,1015,1000,1449,1073,1089,348,367,356,355,349,310,306,293,288,283,298,292,2,43,15,287,20,282,3,7,312,301,281,280,347,29,42,16,1549,1654,1798,1668,1050,1873,1863,1862,1684,774,1901,1883,1284,1900,1690,1824,1424,1259])).
% 172.48/172.31 cnf(6477,plain,
% 172.48/172.31 (~P4(a109,x64771,f7(f114(a109,a1),f30(a109,x64772)))),
% 172.48/172.31 inference(scs_inference,[],[747,5374])).
% 172.48/172.31 cnf(6478,plain,
% 172.48/172.31 (~P4(x64781,x64782,f2(f114(x64781,a1)))),
% 172.48/172.31 inference(rename_variables,[],[747])).
% 172.48/172.31 cnf(6482,plain,
% 172.48/172.31 (P6(a109,x64821,f16(a109,f13(a109,f29(a110,f27(x64821)),f4(a109)),x64822))),
% 172.48/172.31 inference(rename_variables,[],[6004])).
% 172.48/172.31 cnf(6483,plain,
% 172.48/172.31 (P6(a109,x64831,f13(a109,f29(a110,f27(x64831)),f4(a109)))),
% 172.48/172.31 inference(rename_variables,[],[661])).
% 172.48/172.31 cnf(6487,plain,
% 172.48/172.31 (P6(a109,x64871,f16(a109,f13(a109,f29(a110,f27(x64871)),f4(a109)),x64872))),
% 172.48/172.31 inference(rename_variables,[],[6004])).
% 172.48/172.31 cnf(6488,plain,
% 172.48/172.31 (P6(a109,x64881,f13(a109,f29(a110,f27(x64881)),f4(a109)))),
% 172.48/172.31 inference(rename_variables,[],[661])).
% 172.48/172.31 cnf(6492,plain,
% 172.48/172.31 (~P5(a111,f3(a111),f5(a111,f4(a111),f33(f33(f12(a111),f4(a111)),f13(a111,f4(a111),f4(a111)))))),
% 172.48/172.31 inference(scs_inference,[],[747,661,6483,594,5669,6216,2117,6004,6482,6098,5374,1368,1369,1327,1654])).
% 172.48/172.31 cnf(6493,plain,
% 172.48/172.31 (E(f13(a111,f5(a111,x64931,x64932),x64932),x64931)),
% 172.48/172.31 inference(rename_variables,[],[5669])).
% 172.48/172.31 cnf(6496,plain,
% 172.48/172.31 (P6(a109,f3(a109),f13(a109,f33(f33(f12(a109),x64961),x64961),f33(f33(f12(a109),f4(a109)),f4(a109))))),
% 172.48/172.31 inference(rename_variables,[],[3582])).
% 172.48/172.31 cnf(6497,plain,
% 172.48/172.31 (~P6(a109,x64971,x64971)),
% 172.48/172.31 inference(rename_variables,[],[1912])).
% 172.48/172.31 cnf(6498,plain,
% 172.48/172.31 (P5(a109,x64981,x64981)),
% 172.48/172.31 inference(rename_variables,[],[578])).
% 172.48/172.31 cnf(6503,plain,
% 172.48/172.31 (E(f33(f33(f12(a110),f4(a110)),x65031),x65031)),
% 172.48/172.31 inference(rename_variables,[],[582])).
% 172.48/172.31 cnf(6506,plain,
% 172.48/172.31 (~E(f31(x65061,x65062,x65063),f2(f114(x65061,a1)))),
% 172.48/172.31 inference(rename_variables,[],[743])).
% 172.48/172.31 cnf(6509,plain,
% 172.48/172.31 (P4(x65091,x65092,f23(f114(x65091,a1)))),
% 172.48/172.31 inference(rename_variables,[],[615])).
% 172.48/172.31 cnf(6510,plain,
% 172.48/172.31 (~P6(f114(x65101,a1),f33(f33(f12(a109),f4(a109)),x65102),x65102)),
% 172.48/172.31 inference(rename_variables,[],[5788])).
% 172.48/172.31 cnf(6512,plain,
% 172.48/172.31 (~P5(a111,f3(a111),f13(a111,f33(f33(f12(a111),f4(a111)),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f3(a111)))),
% 172.48/172.31 inference(scs_inference,[],[582,504,1912,578,615,747,661,6483,743,594,5600,5788,5669,6216,5102,5390,2117,5400,6004,6482,6098,2923,3582,2907,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798])).
% 172.48/172.31 cnf(6515,plain,
% 172.48/172.31 (P2(f112(x65151))),
% 172.48/172.31 inference(rename_variables,[],[556])).
% 172.48/172.31 cnf(6516,plain,
% 172.48/172.31 (P12(f112(x65161),f6(f112(x65161),f2(f114(f112(x65161),a1))),x65162)),
% 172.48/172.31 inference(rename_variables,[],[5581])).
% 172.48/172.31 cnf(6519,plain,
% 172.48/172.31 (P8(a109,a109,f12(a109),x65191,f31(a109,x65192,f2(f114(a109,a1))),f33(f33(f12(a109),x65191),x65192))),
% 172.48/172.31 inference(scs_inference,[],[582,447,504,1912,578,615,747,6478,661,6483,743,733,556,594,5600,6013,5581,5788,5669,6216,5102,5390,2117,5400,6004,6482,6098,2923,3582,2907,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900])).
% 172.48/172.31 cnf(6524,plain,
% 172.48/172.31 (~P4(x65241,f2(f114(x65242,a1)),f31(x65241,f31(x65242,x65243,x65244),f2(f114(x65241,a1))))),
% 172.48/172.31 inference(rename_variables,[],[5792])).
% 172.48/172.31 cnf(6526,plain,
% 172.48/172.31 (P5(f112(x65261),x65262,f7(f112(x65261),f33(f33(f12(a109),f4(a109)),f2(f114(f112(x65261),a1)))))),
% 172.48/172.31 inference(scs_inference,[],[582,447,504,1912,578,615,747,6478,661,6483,743,733,557,556,594,5600,6013,5581,5938,6330,5792,5788,5669,6216,5102,5390,2117,5400,6004,6482,6098,2923,3582,2907,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229])).
% 172.48/172.31 cnf(6527,plain,
% 172.48/172.31 (~P4(x65271,x65272,f33(f33(f12(a109),f4(a109)),f2(f114(x65271,a1))))),
% 172.48/172.31 inference(rename_variables,[],[5938])).
% 172.48/172.31 cnf(6530,plain,
% 172.48/172.31 (~P5(a109,f13(a109,f5(a109,f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f5(a109,f3(a109),f4(a109)))),x65301),x65301)),
% 172.48/172.31 inference(rename_variables,[],[5597])).
% 172.48/172.31 cnf(6535,plain,
% 172.48/172.31 (P6(a111,f33(f33(f12(a109),f4(a109)),f3(a111)),f4(a111))),
% 172.48/172.31 inference(scs_inference,[],[582,447,504,1912,578,615,747,6478,661,6483,743,733,557,556,518,594,3713,5600,6013,5581,5938,6330,5792,5788,5669,6216,5102,5390,2117,5400,5597,6004,6482,6098,6282,2923,2867,3582,2907,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321])).
% 172.48/172.31 cnf(6536,plain,
% 172.48/172.31 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x65361),f4(a111)),x65361)),
% 172.48/172.31 inference(rename_variables,[],[6282])).
% 172.48/172.31 cnf(6538,plain,
% 172.48/172.31 (P20(f33(f33(f12(a109),f4(a109)),a1))),
% 172.48/172.31 inference(scs_inference,[],[582,447,504,1912,578,615,747,6478,661,6483,406,743,733,557,556,518,594,6290,3713,5600,6013,5581,5938,6330,5792,5788,5669,6216,5102,5390,2117,5400,5597,6004,6482,6098,6282,2923,2867,3582,2907,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317])).
% 172.48/172.31 cnf(6540,plain,
% 172.48/172.31 (~P4(x65401,x65402,f33(f33(f12(a109),f4(a109)),f2(f114(x65401,a1))))),
% 172.48/172.31 inference(rename_variables,[],[5938])).
% 172.48/172.31 cnf(6544,plain,
% 172.48/172.31 (~P6(a110,f13(a110,x65441,x65442),x65441)),
% 172.48/172.31 inference(rename_variables,[],[750])).
% 172.48/172.31 cnf(6550,plain,
% 172.48/172.31 (~P4(f114(f114(a109,a1),a1),f14(f114(f114(a109,a1),a1),f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1)),f23(f114(f114(a109,a1),a1))),f30(f114(a109,a1),f2(f114(f114(a109,a1),a1))))),
% 172.48/172.31 inference(scs_inference,[],[560,582,447,504,1912,750,578,579,615,747,6478,661,6483,479,406,743,733,557,556,518,594,6290,5980,3713,5902,5600,6013,5581,5938,6527,6330,5792,5788,5669,6216,6204,5102,5390,2117,5400,5597,6004,6482,6098,6282,2139,2923,2867,3582,2907,4213,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189])).
% 172.48/172.31 cnf(6555,plain,
% 172.48/172.31 (~P4(x65551,x65552,f14(f114(x65553,a1),f19(a109,f23(f114(a109,a1)),a113),x65554))),
% 172.48/172.31 inference(rename_variables,[],[5731])).
% 172.48/172.31 cnf(6557,plain,
% 172.48/172.31 (P6(a111,f33(f33(f12(a111),f4(a111)),f14(a111,x65571,f5(a111,f3(a111),f4(a111)))),f3(a111))),
% 172.48/172.31 inference(scs_inference,[],[560,582,447,504,1912,750,578,579,615,747,6478,661,6483,479,406,743,733,557,556,527,518,594,6290,5980,3713,5902,5600,6013,5581,5938,6527,5731,6330,5792,5788,5669,6216,6204,5102,5390,2117,5400,5597,5850,6004,6482,6098,6282,2139,2923,2867,3582,2907,4759,4213,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469])).
% 172.48/172.31 cnf(6565,plain,
% 172.48/172.31 (P6(f112(x65651),f6(f112(x65651),f2(f114(f112(x65651),a1))),f13(a109,f29(a110,f27(f6(f112(x65651),f2(f114(f112(x65651),a1))))),f4(a109)))),
% 172.48/172.31 inference(rename_variables,[],[4572])).
% 172.48/172.31 cnf(6566,plain,
% 172.48/172.31 (P49(f112(x65661))),
% 172.48/172.31 inference(rename_variables,[],[559])).
% 172.48/172.31 cnf(6567,plain,
% 172.48/172.31 (P5(f112(x65671),f6(f112(x65671),f14(f114(f112(x65671),a1),f2(f114(f112(x65671),a1)),x65672)),x65673)),
% 172.48/172.31 inference(rename_variables,[],[3967])).
% 172.48/172.31 cnf(6572,plain,
% 172.48/172.31 (P6(f112(x65721),f6(f112(x65721),f2(f114(f112(x65721),a1))),f13(a109,f29(a110,f27(f6(f112(x65721),f2(f114(f112(x65721),a1))))),f4(a109)))),
% 172.48/172.31 inference(rename_variables,[],[4572])).
% 172.48/172.31 cnf(6573,plain,
% 172.48/172.31 (P49(f112(x65731))),
% 172.48/172.31 inference(rename_variables,[],[559])).
% 172.48/172.31 cnf(6574,plain,
% 172.48/172.31 (P5(f112(x65741),x65742,f23(f112(x65741)))),
% 172.48/172.31 inference(rename_variables,[],[5858])).
% 172.48/172.31 cnf(6577,plain,
% 172.48/172.31 (P5(a110,x65771,f13(a110,x65771,x65772))),
% 172.48/172.31 inference(rename_variables,[],[638])).
% 172.48/172.31 cnf(6578,plain,
% 172.48/172.31 (P5(a110,x65781,x65781)),
% 172.48/172.31 inference(rename_variables,[],[579])).
% 172.48/172.31 cnf(6579,plain,
% 172.48/172.31 (P5(a110,x65791,f33(f33(f12(a110),x65791),f33(f33(f12(a110),x65791),x65791)))),
% 172.48/172.31 inference(rename_variables,[],[679])).
% 172.48/172.31 cnf(6581,plain,
% 172.48/172.31 (P11(f112(x65811),f31(f112(x65811),f6(f112(x65811),f2(f114(f112(x65811),a1))),x65812),f2(f114(f112(x65811),a1)),f6(f112(x65811),f2(f114(f112(x65811),a1))))),
% 172.48/172.31 inference(scs_inference,[],[560,582,447,504,513,649,1912,750,578,579,615,679,747,6478,534,559,6566,661,6483,479,406,638,743,733,557,477,556,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,5938,6527,5731,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,5957,5102,5390,2117,5400,5597,5850,6004,6482,6098,6282,2139,2923,2867,3582,2907,4759,4213,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335])).
% 172.48/172.31 cnf(6589,plain,
% 172.48/172.31 (~P20(a110)),
% 172.48/172.31 inference(scs_inference,[],[722,560,582,447,504,513,649,1912,750,578,579,615,679,747,6478,534,570,559,6566,661,6483,479,406,638,743,733,557,477,383,556,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,5938,6527,5731,5077,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,5957,5102,5390,2117,5400,5597,5850,6004,6482,6098,6282,2139,4905,4984,2923,2867,3582,2907,4759,4213,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926])).
% 172.48/172.32 cnf(6593,plain,
% 172.48/172.32 (E(f13(a110,f33(f33(f12(a110),x65931),x65932),f33(f33(f12(a110),x65933),x65932)),f13(a110,f33(f33(f12(a110),x65931),x65932),f33(f33(f12(a110),f13(a110,f5(a110,x65931,x65931),x65933)),x65932)))),
% 172.48/172.32 inference(scs_inference,[],[722,560,704,582,447,504,513,649,1912,750,578,579,6578,615,679,747,6478,534,570,559,6566,661,6483,479,406,638,743,733,557,477,383,556,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,5938,6527,5731,5077,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,5957,5102,5390,2117,5400,5597,5850,6004,6482,6098,6282,2139,4905,4984,2923,2867,3582,2907,4759,4213,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844])).
% 172.48/172.32 cnf(6596,plain,
% 172.48/172.32 (E(f13(a110,f33(f33(f12(a110),x65961),x65962),x65963),f13(a110,f33(f33(f12(a110),x65961),x65962),f33(f33(f12(a110),f4(a110)),f13(a110,f33(f33(f12(a110),f5(a110,x65961,x65961)),x65962),x65963))))),
% 172.48/172.32 inference(scs_inference,[],[722,560,704,582,6503,447,504,513,649,1912,750,578,579,6578,615,679,747,6478,534,570,559,6566,661,6483,479,406,638,743,733,557,477,383,556,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,5938,6527,5731,5077,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,5957,5102,5390,2117,5400,5597,5850,6004,6482,6098,6282,2139,4905,4984,2923,2867,3582,2907,4759,4213,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843])).
% 172.48/172.32 cnf(6597,plain,
% 172.48/172.32 (E(f33(f33(f12(a110),f4(a110)),x65971),x65971)),
% 172.48/172.32 inference(rename_variables,[],[582])).
% 172.48/172.32 cnf(6601,plain,
% 172.48/172.32 (P6(a110,x66011,f13(a110,f33(f33(f12(a110),f5(a110,x66012,x66012)),x66013),f27(f29(a110,f13(a110,f13(a110,f33(f33(f12(a110),f5(a110,x66012,x66012)),x66013),x66011),f4(a110))))))),
% 172.48/172.32 inference(rename_variables,[],[5458])).
% 172.48/172.32 cnf(6603,plain,
% 172.48/172.32 (P78(f33(f16(f114(x66031,a1),f23(f114(x66032,a1)),x66033),x66034))),
% 172.48/172.32 inference(scs_inference,[],[722,560,704,582,6503,447,504,513,649,1912,750,578,579,6578,615,625,679,747,6478,534,570,559,6566,661,6483,479,406,638,743,733,557,477,383,556,445,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,5938,6527,5731,5077,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,6350,5957,5102,5390,2117,5400,5597,5458,5850,6004,6482,6098,6282,2139,4905,4984,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513])).
% 172.48/172.32 cnf(6606,plain,
% 172.48/172.32 (~P4(x66061,x66062,f33(f33(f12(a109),f4(a109)),f2(f114(x66061,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(6609,plain,
% 172.48/172.32 (~P4(x66091,x66092,f33(f33(f12(a109),f4(a109)),f2(f114(x66091,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(6612,plain,
% 172.48/172.32 (P5(f114(x66121,a1),x66122,f16(f114(x66121,a1),x66123,x66122))),
% 172.48/172.32 inference(rename_variables,[],[656])).
% 172.48/172.32 cnf(6615,plain,
% 172.48/172.32 (~P4(x66151,x66152,f14(f114(x66153,a1),f19(a109,f23(f114(a109,a1)),a113),x66154))),
% 172.48/172.32 inference(rename_variables,[],[5731])).
% 172.48/172.32 cnf(6618,plain,
% 172.48/172.32 (P5(a109,x66181,x66181)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(6621,plain,
% 172.48/172.32 (P78(f33(f23(f114(x66211,a1)),x66212))),
% 172.48/172.32 inference(rename_variables,[],[625])).
% 172.48/172.32 cnf(6627,plain,
% 172.48/172.32 (~P4(x66271,x66272,f33(f33(f12(a109),f4(a109)),f2(f114(x66271,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(6630,plain,
% 172.48/172.32 (P5(f114(f114(x66301,a1),a1),f16(f114(f114(x66301,a1),a1),f30(x66301,x66302),f30(x66301,x66303)),f30(x66301,f16(f114(x66301,a1),x66302,x66303)))),
% 172.48/172.32 inference(rename_variables,[],[722])).
% 172.48/172.32 cnf(6634,plain,
% 172.48/172.32 (P5(a110,x66341,f13(a110,x66341,x66342))),
% 172.48/172.32 inference(rename_variables,[],[638])).
% 172.48/172.32 cnf(6637,plain,
% 172.48/172.32 (P6(a110,x66371,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x66371),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[5957])).
% 172.48/172.32 cnf(6641,plain,
% 172.48/172.32 (P6(a109,f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.32 inference(scs_inference,[],[722,560,704,582,6503,447,504,513,649,1912,656,750,578,6498,579,6578,615,625,679,6579,747,6478,534,570,559,6566,661,6483,6488,479,406,638,6577,743,733,557,477,383,556,6515,466,502,445,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,6516,5938,6527,6540,6606,6609,5731,6555,5077,2154,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,6350,5957,5102,5390,2117,5400,5597,5458,5850,6004,6482,6098,6282,2139,5271,4905,4984,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632])).
% 172.48/172.32 cnf(6642,plain,
% 172.48/172.32 (P6(a109,x66421,f13(a109,f29(a110,f27(x66421)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(6643,plain,
% 172.48/172.32 (P6(a109,x66431,f13(a109,f29(a110,f27(x66431)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(6646,plain,
% 172.48/172.32 (P78(f33(f23(f114(x66461,a1)),x66462))),
% 172.48/172.32 inference(rename_variables,[],[625])).
% 172.48/172.32 cnf(6647,plain,
% 172.48/172.32 (P4(x66471,x66472,f16(f114(x66471,a1),f31(x66471,x66472,x66473),x66474))),
% 172.48/172.32 inference(rename_variables,[],[5876])).
% 172.48/172.32 cnf(6648,plain,
% 172.48/172.32 (~P4(x66481,x66482,f33(f33(f12(a109),f4(a109)),f2(f114(x66481,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(6654,plain,
% 172.48/172.32 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x66541),f4(a109)),f4(a109)))),f3(a110))),
% 172.48/172.32 inference(scs_inference,[],[722,560,704,582,6503,447,504,513,649,1912,656,750,578,6498,579,6578,615,625,6621,679,6579,747,6478,534,570,559,6566,661,6483,6488,479,406,638,6577,743,733,557,477,383,556,6515,466,502,445,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6004,6482,6098,6282,2139,5271,4905,4984,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892])).
% 172.48/172.32 cnf(6657,plain,
% 172.48/172.32 (P6(a111,x66571,f16(a111,f13(a111,x66571,f4(a111)),x66572))),
% 172.48/172.32 inference(rename_variables,[],[6188])).
% 172.48/172.32 cnf(6659,plain,
% 172.48/172.32 (~P6(a110,f31(x66591,x66592,f16(f114(x66591,a1),x66593,x66594)),f16(f114(x66591,a1),f31(x66591,x66592,x66593),x66594))),
% 172.48/172.32 inference(scs_inference,[],[722,560,695,704,582,6503,447,504,513,649,1912,656,750,578,6498,579,6578,615,625,6621,679,6579,747,6478,534,570,559,6566,661,6483,6488,479,406,638,6577,743,392,733,557,477,383,556,6515,466,502,445,527,518,594,5858,6290,5980,3713,5902,5600,6013,3967,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6004,6482,6098,6282,2139,5271,4905,4984,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910])).
% 172.48/172.32 cnf(6663,plain,
% 172.48/172.32 (P5(a109,x66631,f29(a110,f22(x66631)))),
% 172.48/172.32 inference(rename_variables,[],[606])).
% 172.48/172.32 cnf(6664,plain,
% 172.48/172.32 (P5(a109,x66641,x66641)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(6669,plain,
% 172.48/172.32 (P6(a111,x66691,f16(a111,f13(a111,x66691,f4(a111)),x66692))),
% 172.48/172.32 inference(rename_variables,[],[6188])).
% 172.48/172.32 cnf(6671,plain,
% 172.48/172.32 (P6(f112(x66711),f14(f112(x66711),f6(f112(x66711),f2(f114(f112(x66711),a1))),x66712),f23(f112(x66711)))),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,582,6503,447,489,504,513,649,1912,656,750,578,6498,6618,579,6578,558,615,625,6621,679,6579,747,6478,534,570,559,6566,661,6483,6488,479,406,638,6577,606,743,512,392,733,557,467,477,383,556,6515,466,502,445,527,518,594,5858,6574,6290,5980,3713,5902,5600,6013,3967,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,5792,5788,5669,6223,4572,6565,6216,6045,6204,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,5271,4905,4984,4868,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170])).
% 172.48/172.32 cnf(6673,plain,
% 172.48/172.32 (P48(f112(x66731))),
% 172.48/172.32 inference(rename_variables,[],[558])).
% 172.48/172.32 cnf(6674,plain,
% 172.48/172.32 (P5(f112(x66741),x66742,f23(f112(x66741)))),
% 172.48/172.32 inference(rename_variables,[],[5858])).
% 172.48/172.32 cnf(6677,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x66771),f4(a109)),f4(a109)))),x66771)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(6678,plain,
% 172.48/172.32 (P5(a110,x66781,x66781)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(6687,plain,
% 172.48/172.32 (~P6(a110,f13(a110,x66871,x66872),x66871)),
% 172.48/172.32 inference(rename_variables,[],[750])).
% 172.48/172.32 cnf(6689,plain,
% 172.48/172.32 (~P6(a111,f33(f33(f12(a111),f4(a111)),f33(f33(f12(a111),f4(a111)),f4(a111))),f3(a111))),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,513,649,1912,656,750,6544,578,6498,6618,579,6578,453,458,558,615,625,6621,679,6579,747,6478,436,534,570,559,6566,661,6483,6488,479,406,638,6577,606,743,512,392,541,733,580,413,557,467,477,383,508,409,507,556,6515,466,502,445,527,518,594,5858,6574,6290,5980,3713,5902,5600,6013,3967,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,6204,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,5271,4905,4984,4868,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485])).
% 172.48/172.32 cnf(6690,plain,
% 172.48/172.32 (P5(a111,x66901,x66901)),
% 172.48/172.32 inference(rename_variables,[],[580])).
% 172.48/172.32 cnf(6694,plain,
% 172.48/172.32 (~P5(a111,f13(a111,x66941,f4(a111)),x66941)),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,513,649,1912,656,750,6544,578,6498,6618,579,6578,453,458,558,615,625,6621,679,6579,747,6478,436,534,570,559,6566,661,6483,6488,6643,479,406,638,6577,606,743,512,392,541,733,580,413,557,467,477,525,383,508,409,507,556,6515,466,502,445,527,518,594,5858,6574,6290,5980,3713,5902,5600,6013,3967,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,6204,6238,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,6230,5271,4905,4984,4868,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217])).
% 172.48/172.32 cnf(6698,plain,
% 172.48/172.32 (P48(f112(x66981))),
% 172.48/172.32 inference(rename_variables,[],[558])).
% 172.48/172.32 cnf(6701,plain,
% 172.48/172.32 (~P5(a109,f13(a109,x67011,f29(a110,f96(f3(a109)))),f13(a109,x67011,f3(a109)))),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,513,649,1912,656,750,6544,578,6498,6618,579,6578,453,458,558,6673,615,625,6621,679,6579,747,6478,436,534,570,559,6566,661,6483,6488,6643,479,406,638,6577,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,502,445,527,518,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,6204,6238,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,6230,5271,4905,4984,4868,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675])).
% 172.48/172.32 cnf(6705,plain,
% 172.48/172.32 (P78(f33(f31(x67051,x67052,x67053),x67052))),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,513,649,1912,656,750,6544,578,6498,6618,579,6578,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,570,559,6566,661,6483,6488,6643,479,406,638,6577,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,502,445,527,518,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,6204,6238,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,6230,5271,4905,4984,4868,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952])).
% 172.48/172.32 cnf(6714,plain,
% 172.48/172.32 (P5(a110,x67141,f33(f33(f12(a110),x67141),f33(f33(f12(a110),x67141),x67141)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(6715,plain,
% 172.48/172.32 (P5(a110,f3(a110),x67151)),
% 172.48/172.32 inference(rename_variables,[],[587])).
% 172.48/172.32 cnf(6717,plain,
% 172.48/172.32 (P5(a110,f13(a110,f33(f33(f12(a110),x67171),x67172),f33(f33(f12(a110),f5(a110,x67171,x67171)),x67172)),f13(a110,f33(f33(f12(a110),x67171),x67172),x67173))),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,479,406,638,6577,6634,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,4682,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,6204,6238,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,6230,3305,5271,4905,4984,4868,2923,2867,3582,2907,4759,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876])).
% 172.48/172.32 cnf(6722,plain,
% 172.48/172.32 (P3(f114(x67221,a1))),
% 172.48/172.32 inference(rename_variables,[],[2455])).
% 172.48/172.32 cnf(6726,plain,
% 172.48/172.32 (~P11(a111,f23(f114(a111,a1)),f2(f114(a111,a1)),f3(a111))),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,479,406,638,6577,6634,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,4682,5581,6516,5938,6527,6540,6606,6609,6627,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,6204,6238,6350,5570,5957,6637,5102,5390,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809])).
% 172.48/172.32 cnf(6732,plain,
% 172.48/172.32 (~P4(x67321,x67322,f33(f33(f12(a109),f4(a109)),f2(f114(x67321,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(6735,plain,
% 172.48/172.32 (~P4(x67351,x67352,f33(f33(f12(a109),f4(a109)),f2(f114(x67351,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(6739,plain,
% 172.48/172.32 (P78(f33(f19(f112(x67391),f31(f112(x67391),f6(f112(x67391),f2(f114(f112(x67391),a1))),x67392),f2(f114(f112(x67391),a1))),f6(f112(x67391),f2(f114(f112(x67391),a1)))))),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,479,406,638,6577,6634,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,4682,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,4378,6204,6238,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785])).
% 172.48/172.32 cnf(6741,plain,
% 172.48/172.32 (P5(f112(x67411),f6(f112(x67411),f33(f33(f12(a109),f4(a109)),f2(f114(f112(x67411),a1)))),x67412)),
% 172.48/172.32 inference(scs_inference,[],[722,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,479,406,638,6577,6634,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,4682,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,5876,5731,6555,5077,2154,6330,4460,5792,5862,5788,5669,6223,4572,6565,6216,6045,4378,6204,6238,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,6282,2139,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231])).
% 172.48/172.32 cnf(6742,plain,
% 172.48/172.32 (~P4(x67421,x67422,f33(f33(f12(a109),f4(a109)),f2(f114(x67421,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(6745,plain,
% 172.48/172.32 (~P4(x67451,x67452,f14(f114(x67453,a1),f19(a109,f23(f114(a109,a1)),a113),x67454))),
% 172.48/172.32 inference(rename_variables,[],[5731])).
% 172.48/172.32 cnf(6748,plain,
% 172.48/172.32 (~P6(f114(x67481,a1),f33(f33(f12(a109),f4(a109)),x67482),x67482)),
% 172.48/172.32 inference(rename_variables,[],[5788])).
% 172.48/172.32 cnf(6753,plain,
% 172.48/172.32 (P6(a109,x67531,f13(a109,f29(a110,f27(x67531)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(6756,plain,
% 172.48/172.32 (P6(a111,f33(f33(f12(a109),f4(a109)),x67561),f13(a111,x67561,f4(a111)))),
% 172.48/172.32 inference(rename_variables,[],[5607])).
% 172.48/172.32 cnf(6759,plain,
% 172.48/172.32 (P6(a109,f13(a109,x67591,f3(a109)),f13(a109,x67591,f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[5712])).
% 172.48/172.32 cnf(6762,plain,
% 172.48/172.32 (~P5(a109,f29(a110,f22(f13(a109,x67621,f4(a109)))),x67621)),
% 172.48/172.32 inference(rename_variables,[],[5483])).
% 172.48/172.32 cnf(6764,plain,
% 172.48/172.32 (~P5(a111,f13(a111,f5(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),x67641),x67641)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,6642,479,406,638,6577,6634,425,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,4682,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,5876,5731,6555,6615,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6216,6045,4378,6204,6238,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,5607,6282,5483,2139,5712,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357])).
% 172.48/172.32 cnf(6769,plain,
% 172.48/172.32 (~E(f13(a109,f29(a110,f3(a110)),f4(a109)),f3(a109))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,6642,479,406,638,6577,6634,425,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,4682,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,5876,5731,6555,6615,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,5607,6282,5483,2139,5712,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780])).
% 172.48/172.32 cnf(6771,plain,
% 172.48/172.32 (P6(a110,x67711,f33(f33(f12(a110),f13(a110,f27(f29(a110,x67711)),f4(a110))),f13(a110,f27(f29(a110,x67711)),f4(a110))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,6642,479,406,638,6577,6634,425,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,4682,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,5876,5731,6555,6615,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,5607,6282,6071,5483,2139,5712,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137])).
% 172.48/172.32 cnf(6772,plain,
% 172.48/172.32 (P6(a109,x67721,f29(a110,f33(f33(f12(a110),f13(a110,f27(x67721),f4(a110))),f13(a110,f27(x67721),f4(a110)))))),
% 172.48/172.32 inference(rename_variables,[],[6071])).
% 172.48/172.32 cnf(6774,plain,
% 172.48/172.32 (~P5(a110,f22(f13(a109,f29(a110,f27(f29(a110,x67741))),f4(a109))),x67741)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,747,6478,436,534,587,570,559,6566,661,6483,6488,6643,6642,479,406,638,6577,6634,425,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,4682,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,5876,5731,6555,6615,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,5607,6282,6071,5483,4917,2139,5712,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108])).
% 172.48/172.32 cnf(6786,plain,
% 172.48/172.32 (~P6(a111,f33(f33(f12(a111),x67861),x67862),f13(a111,f33(f33(f12(a111),x67863),x67862),f13(a111,f33(f33(f12(a111),f5(a111,x67861,x67863)),x67862),f3(a111))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,615,625,6621,679,6579,6714,747,6478,436,534,587,570,749,559,6566,661,6483,6488,6643,6642,479,406,638,6577,6634,425,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,5876,5731,6555,6615,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,5458,5850,6188,6657,6004,6482,6098,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220])).
% 172.48/172.32 cnf(6789,plain,
% 172.48/172.32 (~P5(a109,f13(a109,f5(a109,f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f5(a109,f3(a109),f4(a109)))),x67891),x67891)),
% 172.48/172.32 inference(rename_variables,[],[5597])).
% 172.48/172.32 cnf(6794,plain,
% 172.48/172.32 (~P5(f112(x67941),f23(f112(x67941)),f14(f112(x67941),x67942,f22(f13(a109,f29(a110,f23(f112(x67941))),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[6257])).
% 172.48/172.32 cnf(6795,plain,
% 172.48/172.32 (P48(f112(x67951))),
% 172.48/172.32 inference(rename_variables,[],[558])).
% 172.48/172.32 cnf(6797,plain,
% 172.48/172.32 (P5(a110,f5(a110,f14(a110,x67971,x67972),x67973),x67971)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,679,6579,6714,747,6478,436,534,587,570,749,559,6566,661,6483,6488,6643,6642,479,406,638,6577,6634,639,425,606,743,512,392,541,733,476,580,413,557,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,5876,5731,6555,6615,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339])).
% 172.48/172.32 cnf(6798,plain,
% 172.48/172.32 (P5(a110,f5(a110,x67981,x67982),x67981)),
% 172.48/172.32 inference(rename_variables,[],[639])).
% 172.48/172.32 cnf(6804,plain,
% 172.48/172.32 (P6(a109,x68041,f13(a109,f29(a110,f27(f33(f33(f12(a109),f4(a109)),x68041))),f4(a109)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,679,6579,6714,747,6478,436,534,587,570,749,559,6566,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,5731,6555,6615,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355])).
% 172.48/172.32 cnf(6806,plain,
% 172.48/172.32 (P6(a109,x68061,f13(a109,f29(a110,f27(x68061)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(6808,plain,
% 172.48/172.32 (P4(x68081,f79(f33(f33(f12(a109),f4(a109)),f2(f114(x68082,a1))),f14(f114(x68083,a1),f19(a109,f23(f114(a109,a1)),a113),x68084),f31(x68081,f4(a111),x68085),x68081),f31(x68081,f4(a111),x68085))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,679,6579,6714,747,6478,436,534,587,570,749,559,6566,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855])).
% 172.48/172.32 cnf(6814,plain,
% 172.48/172.32 (~P5(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f13(a110,f5(a110,f3(a110),f3(a110)),f3(a110)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534])).
% 172.48/172.32 cnf(6818,plain,
% 172.48/172.32 (~P6(f112(x68181),f31(x68182,x68183,f16(f114(x68182,a1),x68184,x68185)),f16(f114(x68182,a1),f31(x68182,x68183,x68184),x68185))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911])).
% 172.48/172.32 cnf(6820,plain,
% 172.48/172.32 (~P10(a110,f33(f12(a109),f4(a109)),f33(f14(f114(x68201,a1),f2(f114(x68201,a1)),x68202),f59(f14(f114(x68201,a1),f2(f114(x68201,a1)),x68202))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971])).
% 172.48/172.32 cnf(6822,plain,
% 172.48/172.32 (~P78(f33(f19(a109,f2(f114(a109,a1)),x68221),f31(x68222,x68223,x68224)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604])).
% 172.48/172.32 cnf(6823,plain,
% 172.48/172.32 (~P4(x68231,x68232,f2(f114(x68231,a1)))),
% 172.48/172.32 inference(rename_variables,[],[747])).
% 172.48/172.32 cnf(6825,plain,
% 172.48/172.32 (~P5(f114(a111,a1),f31(a111,f3(a111),f31(a111,f3(a111),f2(f114(a111,a1)))),f5(f114(a111,a1),f2(f114(a111,a1)),x68251))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249])).
% 172.48/172.32 cnf(6828,plain,
% 172.48/172.32 (~P6(a110,f13(a110,x68281,x68282),x68281)),
% 172.48/172.32 inference(rename_variables,[],[750])).
% 172.48/172.32 cnf(6830,plain,
% 172.48/172.32 (~E(x68301,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x68301),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,6687,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,5957,6637,5102,5390,5136,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888])).
% 172.48/172.32 cnf(6832,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f13(a110,x68321,x68322)),f4(a109)),f4(a109)))),x68322)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,6687,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,413,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,6677,5957,6637,5102,5390,5136,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195])).
% 172.48/172.32 cnf(6833,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x68331),f4(a109)),f4(a109)))),x68331)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(6838,plain,
% 172.48/172.32 (P5(a111,f3(a111),f13(a111,f13(a111,f4(a111),f4(a111)),f4(a111)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,6687,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,6330,4460,5792,4406,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,6677,5957,6637,5102,5390,5136,5719,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959])).
% 172.48/172.32 cnf(6840,plain,
% 172.48/172.32 (P6(f114(a109,a1),f65(f31(a109,x68401,x68402),f30(a109,f14(f114(a109,a1),f31(a109,x68403,f2(f114(a109,a1))),f2(f114(a109,a1)))),a109),f31(a109,x68403,f2(f114(a109,a1))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,582,6503,447,489,504,726,513,649,1912,656,750,6544,6687,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5481,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,6677,5957,6637,5102,5390,5136,5719,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360])).
% 172.48/172.32 cnf(6841,plain,
% 172.48/172.32 (P5(f114(a109,a1),f65(f31(a109,x68411,x68412),f30(a109,x68413),a109),x68413)),
% 172.48/172.32 inference(rename_variables,[],[5481])).
% 172.48/172.32 cnf(6846,plain,
% 172.48/172.32 (E(f13(a111,x68461,f13(a111,x68462,x68463)),f13(a111,x68462,f13(a111,x68461,x68463)))),
% 172.48/172.32 inference(rename_variables,[],[671])).
% 172.48/172.32 cnf(6849,plain,
% 172.48/172.32 (P5(a110,x68491,x68491)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(6857,plain,
% 172.48/172.32 (P5(f114(f114(x68571,a1),a1),f16(f114(f114(x68571,a1),a1),f30(x68571,x68572),f30(x68571,x68573)),f30(x68571,f16(f114(x68571,a1),x68572,x68573)))),
% 172.48/172.32 inference(rename_variables,[],[722])).
% 172.48/172.32 cnf(6860,plain,
% 172.48/172.32 (E(f13(a110,f33(f33(f12(a110),f5(a110,x68601,f13(a110,x68601,f3(a110)))),x68602),f13(a110,f33(f33(f12(a110),f3(a110)),x68602),x68603)),x68603)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,656,750,6544,6687,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,610,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,5669,5900,6223,4572,6565,6087,6216,6045,4378,6204,6238,5846,6350,5570,6677,6833,5957,6637,5102,5390,5136,5719,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4091,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834])).
% 172.48/172.32 cnf(6863,plain,
% 172.48/172.32 (~P13(a110,f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1)))),f5(a110,f3(a110),f4(a110)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,656,750,6544,6687,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,610,479,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,5669,5900,6223,4572,6565,6087,6336,6216,6045,4378,6204,6238,5846,6350,5570,6677,6833,5957,6637,5102,5390,5136,5719,4488,2117,5400,5597,6530,5458,5850,6188,6657,6004,6482,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4091,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577])).
% 172.48/172.32 cnf(6868,plain,
% 172.48/172.32 (P6(a110,x68681,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x68681),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[5957])).
% 172.48/172.32 cnf(6876,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x68761),f4(a109)),f4(a109)))),x68761)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(6878,plain,
% 172.48/172.32 (P4(a109,f47(f3(a109),f17(a109),a109),f17(a109))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,656,750,6544,6687,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,610,479,390,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,5669,5900,6223,4572,6565,6087,6336,6216,6045,5781,4378,6204,6238,5692,5846,6350,5570,6677,6833,5957,6637,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,5521,5458,5850,6188,6657,6004,6482,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,5271,4905,2242,4870,4091,4984,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770])).
% 172.48/172.32 cnf(6881,plain,
% 172.48/172.32 (P6(a109,x68811,f13(a109,f29(a110,f27(x68811)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(6889,plain,
% 172.48/172.32 (~P5(a109,f29(a110,f13(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)))),f29(a110,f3(a110)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,656,750,6544,6687,6828,578,6498,6618,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,610,479,390,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,466,385,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,6204,6238,5692,5846,6350,5570,6677,6833,5957,6637,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,5521,5458,5850,6188,6657,6004,6482,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138])).
% 172.48/172.32 cnf(6897,plain,
% 172.48/172.32 (~P6(f114(x68971,a1),f33(f33(f12(a109),f4(a109)),x68972),x68972)),
% 172.48/172.32 inference(rename_variables,[],[5788])).
% 172.48/172.32 cnf(6901,plain,
% 172.48/172.32 (P5(a109,x69011,x69011)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(6907,plain,
% 172.48/172.32 (P6(a110,f13(a110,x69071,x69072),f13(a110,x69071,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x69072),f4(a109)),f4(a109))))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,656,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,610,479,390,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,503,502,445,527,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,6204,6238,5692,5846,6350,5570,6677,6833,5957,6637,6868,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416])).
% 172.48/172.32 cnf(6910,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x69101),f4(a109)),f4(a109)))),x69101)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(6918,plain,
% 172.48/172.32 (P6(f114(a109,a1),f2(f114(a109,a1)),f16(f114(a109,a1),f31(a109,x69181,f2(f114(a109,a1))),f2(f114(a109,a1))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,487,656,6612,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,610,479,390,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,445,527,742,518,382,594,5858,6574,6295,6290,5027,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302])).
% 172.48/172.32 cnf(6919,plain,
% 172.48/172.32 (P5(f114(x69191,a1),x69192,f16(f114(x69191,a1),x69193,x69192))),
% 172.48/172.32 inference(rename_variables,[],[656])).
% 172.48/172.32 cnf(6920,plain,
% 172.48/172.32 (~P5(f114(a109,a1),f16(f114(a109,a1),f31(a109,x69201,f2(f114(a109,a1))),x69202),f2(f114(a109,a1)))),
% 172.48/172.32 inference(rename_variables,[],[5543])).
% 172.48/172.32 cnf(6922,plain,
% 172.48/172.32 (~P5(a111,f13(a111,f4(a111),f3(a111)),f5(a111,f3(a111),f4(a111)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,487,656,6612,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6642,6753,610,479,390,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,445,527,742,518,382,594,5858,6574,6295,6290,5027,5464,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324])).
% 172.48/172.32 cnf(6925,plain,
% 172.48/172.32 (P6(a110,x69251,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x69251),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[5957])).
% 172.48/172.32 cnf(6929,plain,
% 172.48/172.32 (E(x69291,f16(f114(x69292,a1),x69291,x69291))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6642,6753,610,479,390,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,445,527,742,518,382,594,5858,6574,6295,6290,5027,5464,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215])).
% 172.48/172.32 cnf(6930,plain,
% 172.48/172.32 (P5(f114(x69301,a1),x69302,f16(f114(x69301,a1),x69303,x69302))),
% 172.48/172.32 inference(rename_variables,[],[656])).
% 172.48/172.32 cnf(6933,plain,
% 172.48/172.32 (~P6(f114(x69331,a109),x69332,x69332)),
% 172.48/172.32 inference(rename_variables,[],[5953])).
% 172.48/172.32 cnf(6937,plain,
% 172.48/172.32 (P6(a109,x69371,f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(x69371)),f4(a109))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,743,512,392,541,733,384,476,580,393,413,751,389,557,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6295,6290,5027,5464,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430])).
% 172.48/172.32 cnf(6938,plain,
% 172.48/172.32 (P6(a109,x69381,f13(a109,f29(a110,f27(x69381)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(6940,plain,
% 172.48/172.32 (~P6(a109,f13(a109,f29(a110,f22(f5(a109,f29(a110,x69401),f3(a109)))),x69402),x69402)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6295,6290,5027,5464,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613])).
% 172.48/172.32 cnf(6942,plain,
% 172.48/172.32 (~P6(a109,f13(a109,f5(a109,f29(a110,x69421),f3(a109)),x69422),x69422)),
% 172.48/172.32 inference(rename_variables,[],[5783])).
% 172.48/172.32 cnf(6944,plain,
% 172.48/172.32 (P6(a110,f33(f33(f24(a110),f3(a110)),f13(a110,f27(f3(a109)),f4(a110))),f33(f33(f24(a110),f13(a110,f27(f3(a109)),f4(a110))),f13(a110,f27(f3(a109)),f4(a110))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6295,6290,5027,5464,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,4586,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725])).
% 172.48/172.32 cnf(6945,plain,
% 172.48/172.32 (P5(a110,x69451,x69451)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(6949,plain,
% 172.48/172.32 (E(x69491,f14(a110,x69491,x69491))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6295,6290,5027,5464,5980,3713,5902,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074])).
% 172.48/172.32 cnf(6953,plain,
% 172.48/172.32 (P6(f112(x69531),f14(f112(x69531),x69532,f14(f112(x69531),x69533,f22(f13(a109,f29(a110,f23(f112(x69531))),f4(a109))))),f23(f112(x69531)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033])).
% 172.48/172.32 cnf(6955,plain,
% 172.48/172.32 (P5(f112(x69551),x69552,f23(f112(x69551)))),
% 172.48/172.32 inference(rename_variables,[],[5858])).
% 172.48/172.32 cnf(6959,plain,
% 172.48/172.32 (~P6(a110,f13(a110,f16(a110,x69591,x69592),x69593),x69591)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,6238,5692,5846,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234])).
% 172.48/172.32 cnf(6960,plain,
% 172.48/172.32 (~P6(a110,f13(a110,x69601,x69602),x69601)),
% 172.48/172.32 inference(rename_variables,[],[750])).
% 172.48/172.32 cnf(6963,plain,
% 172.48/172.32 (P6(a109,x69631,f13(a109,f29(a110,f27(x69631)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(6964,plain,
% 172.48/172.32 (~P6(a109,f13(a109,f5(a109,f29(a110,x69641),f3(a109)),x69642),x69642)),
% 172.48/172.32 inference(rename_variables,[],[5783])).
% 172.48/172.32 cnf(6972,plain,
% 172.48/172.32 (~E(f33(f33(f12(a110),f5(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),f5(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),f33(f33(f12(a110),f3(a110)),f5(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,660,625,6621,6646,679,6579,6714,747,6478,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,5298,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040])).
% 172.48/172.32 cnf(6975,plain,
% 172.48/172.32 (~P4(x69751,x69752,f16(f114(x69751,a1),f2(f114(x69751,a1)),f2(f114(x69751,a1))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,660,625,6621,6646,679,6579,6714,747,6478,6823,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,5298,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594])).
% 172.48/172.32 cnf(6982,plain,
% 172.48/172.32 (~P5(a109,f47(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x69821,x69821)),x69822),f4(a109))),f23(f114(a109,a1)),a109),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x69821,x69821)),x69822),f4(a109))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,660,625,6621,6646,679,6579,6714,747,6478,6823,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,5298,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,5669,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792])).
% 172.48/172.32 cnf(6988,plain,
% 172.48/172.32 (~E(f2(f114(f114(a109,a1),a1)),f14(f114(f114(a109,a1),a1),f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1)),f23(f114(f114(a109,a1),a1))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,660,625,6621,6646,679,6579,6714,747,6478,6823,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,5298,6330,4460,5792,4406,5486,5881,5481,5862,5788,6510,6748,5953,3566,4087,5669,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,5483,4917,2139,5712,6116,6159,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868])).
% 172.48/172.32 cnf(6995,plain,
% 172.48/172.32 (P5(a110,x69951,f33(f33(f12(a110),x69951),f33(f33(f12(a110),x69951),x69951)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7004,plain,
% 172.48/172.32 (P5(a109,x70041,x70041)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(7006,plain,
% 172.48/172.32 (~P6(a111,f5(a111,f4(a111),f33(f33(f12(a111),f4(a111)),f14(f114(x70061,a1),f23(f114(x70061,a1)),f3(a111)))),f4(a111))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,6901,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,660,625,6621,6646,679,6579,6714,747,6478,6823,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,4119,5298,6330,4460,5792,4406,5486,5881,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,5483,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650])).
% 172.48/172.32 cnf(7007,plain,
% 172.48/172.32 (E(f13(a111,f5(a111,x70071,x70072),x70072),x70071)),
% 172.48/172.32 inference(rename_variables,[],[5669])).
% 172.48/172.32 cnf(7012,plain,
% 172.48/172.32 (P6(a109,x70121,f29(a110,f33(f33(f12(a110),f13(a110,f27(x70121),f4(a110))),f13(a110,f27(x70121),f4(a110)))))),
% 172.48/172.32 inference(rename_variables,[],[6071])).
% 172.48/172.32 cnf(7014,plain,
% 172.48/172.32 (~P78(f33(f6(f114(x70141,a1),f16(f114(f114(x70141,a1),a1),f6(f114(f114(x70141,a1),a1),f2(f114(f114(f114(x70141,a1),a1),a1))),f19(a109,f23(f114(a109,a1)),a113))),x70142))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,6901,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,660,625,6621,6646,679,6579,6714,747,6478,6823,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922])).
% 172.48/172.32 cnf(7019,plain,
% 172.48/172.32 (~P5(f114(x70191,a1),f23(f114(x70192,a1)),f33(f12(a109),f4(a109)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,750,6544,6687,6828,578,6498,6618,6664,6901,579,6578,6678,6849,432,453,458,643,558,6673,6698,615,660,625,6621,6646,679,6579,6714,747,6478,6823,480,436,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124])).
% 172.48/172.32 cnf(7028,plain,
% 172.48/172.32 (P4(x70281,x70282,f23(f114(x70281,a1)))),
% 172.48/172.32 inference(rename_variables,[],[615])).
% 172.48/172.32 cnf(7032,plain,
% 172.48/172.32 (~P6(a109,f31(x70321,x70322,f16(f114(x70321,a1),x70323,x70324)),f16(f114(x70321,a1),f31(x70321,x70322,x70323),x70324))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,679,6579,6714,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883])).
% 172.48/172.32 cnf(7039,plain,
% 172.48/172.32 (~E(f2(f114(f114(x70391,a1),a1)),f30(x70391,x70392))),
% 172.48/172.32 inference(rename_variables,[],[5055])).
% 172.48/172.32 cnf(7045,plain,
% 172.48/172.32 (P5(a109,x70451,x70451)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(7049,plain,
% 172.48/172.32 (~P6(a111,f31(x70491,x70492,f16(f114(x70491,a1),x70493,x70494)),f16(f114(x70491,a1),f31(x70491,x70492,x70493),x70494))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,5957,6637,6868,6925,5102,5390,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,2242,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889])).
% 172.48/172.32 cnf(7055,plain,
% 172.48/172.32 (P6(a110,x70551,f13(a110,f33(f33(f12(a110),f5(a110,x70552,x70552)),x70553),f27(f29(a110,f13(a110,f13(a110,f33(f33(f12(a110),f5(a110,x70552,x70552)),x70553),x70551),f4(a110))))))),
% 172.48/172.32 inference(rename_variables,[],[5458])).
% 172.48/172.32 cnf(7060,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x70601),f4(a109)),f4(a109)))),x70601)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(7062,plain,
% 172.48/172.32 (~P6(a110,f3(a110),f13(a110,f33(f33(f12(a109),f4(a109)),f3(a110)),f33(f33(f12(a109),f4(a109)),f3(a110))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,5957,6637,6868,6925,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478])).
% 172.48/172.32 cnf(7067,plain,
% 172.48/172.32 (P6(a110,x70671,f13(a110,x70671,f27(f29(a110,f13(a110,f13(a110,f33(f33(f12(a110),f5(a110,x70672,x70672)),x70673),f33(f33(f12(a110),f5(a110,x70672,x70672)),x70673)),f4(a110))))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,5957,6637,6868,6925,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319])).
% 172.48/172.32 cnf(7071,plain,
% 172.48/172.32 (P13(a110,f2(f114(a110,a1)),x70711)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,512,392,541,733,384,476,580,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,5957,6637,6868,6925,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159])).
% 172.48/172.32 cnf(7073,plain,
% 172.48/172.32 (~P5(a111,f13(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f3(a111)),f33(f33(f12(a111),f4(a111)),f3(a111)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,512,392,541,733,384,476,580,6690,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,5957,6637,6868,6925,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,5518,6282,6071,6772,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433])).
% 172.48/172.32 cnf(7074,plain,
% 172.48/172.32 (P5(a111,x70741,x70741)),
% 172.48/172.32 inference(rename_variables,[],[580])).
% 172.48/172.32 cnf(7076,plain,
% 172.48/172.32 (P5(a111,f33(f33(f12(a109),f4(a109)),x70761),x70761)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,512,392,541,733,384,476,580,6690,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,5957,6637,6868,6925,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6004,6482,6487,6098,6138,5449,5607,6756,5518,6282,6071,6772,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325])).
% 172.48/172.32 cnf(7084,plain,
% 172.48/172.32 (P5(a109,x70841,x70841)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(7088,plain,
% 172.48/172.32 (P5(a110,x70881,x70881)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(7091,plain,
% 172.48/172.32 (E(f13(a111,x70911,f13(a111,x70912,x70913)),f13(a111,x70912,f13(a111,x70911,x70913)))),
% 172.48/172.32 inference(rename_variables,[],[671])).
% 172.48/172.32 cnf(7094,plain,
% 172.48/172.32 (~P6(a109,f13(a109,f5(a109,f29(a110,x70941),f3(a109)),x70942),x70942)),
% 172.48/172.32 inference(rename_variables,[],[5783])).
% 172.48/172.32 cnf(7098,plain,
% 172.48/172.32 (~P5(a109,f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f27(x70981)),f4(a109)),f4(a109))),x70981)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,7045,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,512,392,541,733,384,476,580,6690,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,5957,6637,6868,6925,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020])).
% 172.48/172.32 cnf(7099,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x70991),f4(a109)),f4(a109)))),x70991)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(7103,plain,
% 172.48/172.32 (~E(f5(a110,f13(a110,f13(a110,x71031,f3(a110)),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f3(a110)),x71031)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,7045,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,580,6690,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,5957,6637,6868,6925,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154])).
% 172.48/172.32 cnf(7104,plain,
% 172.48/172.32 (~E(f13(a110,x71041,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x71041)),
% 172.48/172.32 inference(rename_variables,[],[5862])).
% 172.48/172.32 cnf(7105,plain,
% 172.48/172.32 (P5(a110,f3(a110),x71051)),
% 172.48/172.32 inference(rename_variables,[],[587])).
% 172.48/172.32 cnf(7112,plain,
% 172.48/172.32 (P6(a110,x71121,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x71121),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[5957])).
% 172.48/172.32 cnf(7114,plain,
% 172.48/172.32 (P6(a110,x71141,f13(a110,x71142,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x71141),f4(a109)),f4(a109))))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,7045,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,580,6690,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191])).
% 172.48/172.32 cnf(7116,plain,
% 172.48/172.32 (~P78(f33(f13(a111,f2(f114(x71161,a1)),f33(f33(f12(a111),f5(a111,x71162,x71162)),x71163)),x71164))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,582,6503,6597,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,578,6498,6618,6664,6901,7004,7045,579,6578,6678,6849,6945,432,437,453,458,459,542,643,558,6673,6698,615,6509,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,580,6690,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,385,446,745,503,502,444,445,527,742,518,382,594,5858,6574,6674,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,3491,5862,5788,6510,6748,5953,5618,3566,4087,5669,6493,5900,3393,6223,4572,6565,6087,6336,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,6159,5053,6230,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896])).
% 172.48/172.32 cnf(7117,plain,
% 172.48/172.32 (E(x71171,f13(a111,x71171,f33(f33(f12(a111),f5(a111,x71172,x71172)),x71173)))),
% 172.48/172.32 inference(rename_variables,[],[5618])).
% 172.48/172.32 cnf(7130,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x71301),f4(a109)),f4(a109)))),x71301)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(7133,plain,
% 172.48/172.32 (P6(a109,x71331,f13(a109,f29(a110,f27(x71331)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(7153,plain,
% 172.48/172.32 (E(f16(f114(x71531,a1),f5(f114(x71531,a1),x71532,x71533),f14(f114(x71531,a1),x71532,x71533)),x71532)),
% 172.48/172.32 inference(rename_variables,[],[693])).
% 172.48/172.32 cnf(7156,plain,
% 172.48/172.32 (P6(a110,x71561,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x71561),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[5957])).
% 172.48/172.32 cnf(7161,plain,
% 172.48/172.32 (P6(f112(x71611),f6(f112(x71611),f2(f114(f112(x71611),a1))),f13(a109,f29(a110,f27(f6(f112(x71611),f2(f114(f112(x71611),a1))))),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[4572])).
% 172.48/172.32 cnf(7163,plain,
% 172.48/172.32 (P5(a111,f3(a111),f13(a111,f4(a111),f3(a111)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,582,6503,6597,693,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,6841,3491,5862,5788,6510,6748,5953,6933,5618,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957])).
% 172.48/172.32 cnf(7168,plain,
% 172.48/172.32 (P5(a109,x71681,x71681)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(7173,plain,
% 172.48/172.32 (~E(f13(a110,x71731,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x71731)),
% 172.48/172.32 inference(rename_variables,[],[5862])).
% 172.48/172.32 cnf(7179,plain,
% 172.48/172.32 (P5(a110,f33(f33(f12(a110),f5(a110,f23(f112(x71791)),f23(f112(x71791)))),x71792),x71793)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,582,6503,6597,693,447,489,504,726,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658])).
% 172.48/172.32 cnf(7185,plain,
% 172.48/172.32 (~P13(a109,f23(f114(a109,a1)),f5(a110,f13(a110,f13(a110,f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x71851,x71851)),x71852),f4(a109))),x71853),x71854),f13(a110,x71853,x71854)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,676,582,6503,6597,693,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299])).
% 172.48/172.32 cnf(7187,plain,
% 172.48/172.32 (P6(f13(a111,a109,f33(f33(f12(a111),f5(a111,x71871,x71871)),x71872)),x71873,f13(a109,f29(a110,f27(x71873)),f4(a109)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,676,582,6503,6597,693,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286])).
% 172.48/172.32 cnf(7188,plain,
% 172.48/172.32 (E(x71881,f13(a111,x71881,f33(f33(f12(a111),f5(a111,x71882,x71882)),x71883)))),
% 172.48/172.32 inference(rename_variables,[],[5618])).
% 172.48/172.32 cnf(7189,plain,
% 172.48/172.32 (P5(f114(x71891,a111),x71892,x71892)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,676,582,6503,6597,693,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885])).
% 172.48/172.32 cnf(7195,plain,
% 172.48/172.32 (~P6(a110,f27(f16(a109,f29(a110,x71951),x71952)),x71951)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,671,6846,676,582,6503,6597,693,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332])).
% 172.48/172.32 cnf(7200,plain,
% 172.48/172.32 (P5(f114(f114(x72001,a1),a1),f16(f114(f114(x72001,a1),a1),f30(x72001,x72002),f30(x72001,x72003)),f30(x72001,f16(f114(x72001,a1),x72003,x72002)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,629,671,6846,676,582,6503,6597,693,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291])).
% 172.48/172.32 cnf(7210,plain,
% 172.48/172.32 (~E(f3(a110),f13(a110,f13(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),x72101))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,629,671,6846,676,582,6503,6597,693,7153,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993])).
% 172.48/172.32 cnf(7217,plain,
% 172.48/172.32 (~E(f13(a111,x72171,f13(a111,f13(a111,f4(a111),x72172),x72172)),x72171)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,629,671,6846,676,582,6503,6597,693,7153,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917])).
% 172.48/172.32 cnf(7219,plain,
% 172.48/172.32 (~P6(a110,f13(a110,f33(f33(f12(a110),x72191),x72192),x72193),f13(a110,f33(f33(f12(a110),x72191),x72192),f33(f33(f12(a110),f5(a110,x72191,x72191)),x72192)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,704,585,629,671,6846,676,582,6503,6597,693,7153,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866])).
% 172.48/172.32 cnf(7220,plain,
% 172.48/172.32 (~P6(a110,f13(a110,x72201,x72202),x72201)),
% 172.48/172.32 inference(rename_variables,[],[750])).
% 172.48/172.32 cnf(7222,plain,
% 172.48/172.32 (E(f13(a109,f33(f33(f12(a109),x72221),x72222),f33(f33(f12(a109),x72223),x72222)),f13(a109,f33(f33(f12(a109),x72224),x72222),f33(f33(f12(a109),f13(a109,f5(a109,x72221,x72224),x72223)),x72222)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,702,704,585,629,671,6846,676,582,6503,6597,693,7153,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842])).
% 172.48/172.32 cnf(7236,plain,
% 172.48/172.32 (~P5(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x72361),f4(a109)),f4(a109)))),x72361)),
% 172.48/172.32 inference(rename_variables,[],[5570])).
% 172.48/172.32 cnf(7238,plain,
% 172.48/172.32 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x72381),f4(a109)),f4(a109)))),x72381)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783])).
% 172.48/172.32 cnf(7240,plain,
% 172.48/172.32 (~P5(a110,f13(a110,f27(f13(a109,f5(a109,f29(a110,x72401),f3(a109)),f29(a110,x72402))),f4(a110)),x72402)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435])).
% 172.48/172.32 cnf(7241,plain,
% 172.48/172.32 (~P6(a109,f13(a109,f5(a109,f29(a110,x72411),f3(a109)),x72412),x72412)),
% 172.48/172.32 inference(rename_variables,[],[5783])).
% 172.48/172.32 cnf(7247,plain,
% 172.48/172.32 (E(f5(a110,f14(f114(x72471,a1),f13(a110,x72472,f3(a110)),f13(a110,x72472,f3(a110))),f3(a110)),x72472)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155])).
% 172.48/172.32 cnf(7248,plain,
% 172.48/172.32 (E(f14(f114(x72481,a1),x72482,x72482),x72482)),
% 172.48/172.32 inference(rename_variables,[],[601])).
% 172.48/172.32 cnf(7256,plain,
% 172.48/172.32 (P6(a111,f13(a111,f33(f33(f12(a111),f4(a111)),f3(a111)),f3(a111)),f13(a111,f33(f33(f12(a111),f4(a111)),f4(a111)),f3(a111)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940])).
% 172.48/172.32 cnf(7258,plain,
% 172.48/172.32 (E(x72581,f5(a110,f13(a110,x72581,x72582),x72582))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,5692,5846,4897,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000])).
% 172.48/172.32 cnf(7268,plain,
% 172.48/172.32 (~P15(f14(f114(x72681,a1),f23(f114(x72681,a1)),f14(f114(x72681,a1),f23(f114(x72681,a1)),a110)),f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367])).
% 172.48/172.32 cnf(7271,plain,
% 172.48/172.32 (~P9(f31(x72711,x72712,f16(f114(x72711,a1),x72713,x72714)),x72715,f2(f114(f16(f114(x72711,a1),f31(x72711,x72712,x72713),x72714),a1)),x72716)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,5788,6510,6748,5953,6933,5618,7117,3566,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345])).
% 172.48/172.32 cnf(7275,plain,
% 172.48/172.32 (~P12(f22(f29(a110,f33(f33(f12(a110),a109),f4(a110)))),f47(a115,a113,a109),f33(f33(f12(a109),f4(a109)),f5(a110,f13(a110,x72751,a113),x72751)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310])).
% 172.48/172.32 cnf(7276,plain,
% 172.48/172.32 (P8(a109,a109,f12(a109),f31(x72761,x72762,x72763),f13(a111,f2(f114(a109,a1)),f33(f33(f12(a111),f5(a111,x72764,x72764)),x72765)),f31(x72761,x72762,x72763))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305])).
% 172.48/172.32 cnf(7277,plain,
% 172.48/172.32 (~P13(f5(a110,f13(a110,f22(f29(a110,a109)),x72771),x72771),f5(f114(x72772,a1),f23(f114(a109,a1)),f2(f114(x72772,a1))),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x72773,x72773)),x72774),f4(a109))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,724,670,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297])).
% 172.48/172.32 cnf(7278,plain,
% 172.48/172.32 (~P5(f16(f114(x72781,a1),f2(f114(x72781,a1)),a109),f29(a110,f96(f3(a109))),f3(a109))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,724,670,624,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290])).
% 172.48/172.32 cnf(7279,plain,
% 172.48/172.32 (E(f16(f114(x72791,a1),f2(f114(x72791,a1)),x72792),x72792)),
% 172.48/172.32 inference(rename_variables,[],[624])).
% 172.48/172.32 cnf(7281,plain,
% 172.48/172.32 (~P15(f14(f114(x72811,a1),f23(f114(x72811,a1)),a110),f16(f114(x72812,a1),f2(f114(x72812,a1)),f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,724,670,624,7279,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,5850,6188,6657,6669,5783,6942,6964,7094,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368])).
% 172.48/172.32 cnf(7282,plain,
% 172.48/172.32 (E(f16(f114(x72821,a1),f2(f114(x72821,a1)),x72822),x72822)),
% 172.48/172.32 inference(rename_variables,[],[624])).
% 172.48/172.32 cnf(7292,plain,
% 172.48/172.32 (~E(x72921,f13(a109,f5(a109,f29(a110,x72922),f3(a109)),f13(a109,f29(a110,f27(x72921)),f4(a109))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,724,670,624,7279,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,6216,6045,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287])).
% 172.48/172.32 cnf(7295,plain,
% 172.48/172.32 (~P9(x72951,x72952,f31(x72951,f4(a109),f2(f114(x72951,a1))),f16(f114(x72953,a1),f2(f114(x72953,a1)),f3(a109)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,607,724,670,624,7279,7282,649,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,4968,6276,3820,2375,6216,6045,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348])).
% 172.48/172.32 cnf(7301,plain,
% 172.48/172.32 (P5(f114(f114(x73011,a1),a1),f16(f114(f114(x73011,a1),a1),f30(x73011,x73012),f30(x73011,x73013)),f13(a111,f13(a109,f33(f33(f12(a109),f5(a109,x73014,x73014)),x73015),f30(x73011,f16(f114(x73011,a1),x73012,x73013))),f3(a111)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5336,6087,6336,5649,4968,6276,3820,2375,6216,6045,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292])).
% 172.48/172.32 cnf(7302,plain,
% 172.48/172.32 (E(x73021,f13(a111,f13(a109,f33(f33(f12(a109),f5(a109,x73022,x73022)),x73023),x73021),f3(a111)))),
% 172.48/172.32 inference(rename_variables,[],[5649])).
% 172.48/172.32 cnf(7303,plain,
% 172.48/172.32 (~E(f13(a110,f33(f33(f12(a110),f5(a110,f3(a110),f3(a110))),x73031),f13(a110,x73032,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x73032)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,4968,6276,3820,2375,6216,6045,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15])).
% 172.48/172.32 cnf(7309,plain,
% 172.48/172.32 (~E(f13(a110,x73091,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x73091)),
% 172.48/172.32 inference(rename_variables,[],[5862])).
% 172.48/172.32 cnf(7311,plain,
% 172.48/172.32 (~E(x73111,f13(a110,f13(a109,f33(f33(f12(a109),f5(a109,x73112,x73113)),x73114),f13(a109,f33(f33(f12(a109),f5(a109,x73113,x73112)),x73114),x73111)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16])).
% 172.48/172.32 cnf(7313,plain,
% 172.48/172.32 (P8(f13(a111,f13(a109,f33(f33(f12(a109),f5(a109,x73131,x73131)),x73132),a109),f3(a111)),a109,f12(a109),f31(x73133,x73134,f16(f114(x73133,a1),x73135,x73136)),f2(f114(a109,a1)),f31(x73133,x73134,f16(f114(x73133,a1),x73135,x73136)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,2284,4229,2907,4759,2455,6722,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301])).
% 172.48/172.32 cnf(7316,plain,
% 172.48/172.32 (E(f18(x73161,x73162,f23(f114(x73161,a1))),x73162)),
% 172.48/172.32 inference(rename_variables,[],[616])).
% 172.48/172.32 cnf(7323,plain,
% 172.48/172.32 (~P4(x73231,f74(f13(a109,f29(a110,f27(f23(f114(x73231,a1)))),f4(a109)),x73231),f13(a109,f29(a110,f27(f23(f114(x73231,a1)))),f4(a109)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,1916,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049])).
% 172.48/172.32 cnf(7327,plain,
% 172.48/172.32 (P6(a110,x73271,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x73271),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[5957])).
% 172.48/172.32 cnf(7329,plain,
% 172.48/172.32 (~P6(a111,f13(a111,f5(a111,x73291,f4(a111)),f4(a111)),x73291)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,1916,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218])).
% 172.48/172.32 cnf(7333,plain,
% 172.48/172.32 (~P5(a111,f3(a111),f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,1916,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272])).
% 172.48/172.32 cnf(7337,plain,
% 172.48/172.32 (~P6(a111,f13(a111,f3(a111),f4(a111)),f4(a111))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,1916,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212])).
% 172.48/172.32 cnf(7350,plain,
% 172.48/172.32 (~P5(f112(x73501),f23(f112(x73501)),f6(f112(x73501),f2(f114(f112(x73501),a1))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6955,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177])).
% 172.48/172.32 cnf(7352,plain,
% 172.48/172.32 (P5(f112(x73521),x73522,f23(f112(x73521)))),
% 172.48/172.32 inference(rename_variables,[],[5858])).
% 172.48/172.32 cnf(7354,plain,
% 172.48/172.32 (~E(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f27(x73541)),f4(a109)),f4(a109))),x73541)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6955,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22])).
% 172.48/172.32 cnf(7355,plain,
% 172.48/172.32 (P5(f112(x73551),f16(f112(x73551),x73552,x73552),f16(f112(x73551),f23(f112(x73551)),f23(f112(x73551))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,563,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,502,444,445,527,742,519,518,382,594,5858,6574,6674,6955,7352,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22,1616])).
% 172.48/172.32 cnf(7367,plain,
% 172.48/172.32 (~P5(a109,f13(a109,f13(a109,f29(a110,f27(f6(a109,f23(f114(a109,a1))))),f4(a109)),f4(a109)),f6(a109,f23(f114(a109,a1))))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,563,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,564,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,398,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,407,502,444,445,527,742,519,518,382,594,5858,6574,6674,6955,7352,6312,6295,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,5953,6933,5618,7117,7188,3566,6302,4087,2187,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4635,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,4557,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22,1616,1615,1668,1057,1388,904,1016])).
% 172.48/172.32 cnf(7372,plain,
% 172.48/172.32 (P78(f33(f36(f33(f33(f12(a109),f4(a109)),f5(a110,x73721,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x73721),f4(a109)),f4(a109))))))),f3(a110)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,563,726,493,513,601,7248,572,640,668,607,724,670,624,7279,7282,649,591,616,1912,6497,487,656,6612,6919,6930,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,564,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,398,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,407,502,444,445,527,742,519,518,382,594,5858,6574,6674,6955,7352,6312,6295,5733,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5738,4119,5298,6330,4460,6093,5792,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,6897,5953,6933,5618,7117,7188,3566,6302,4087,2187,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,7327,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4984,4173,4635,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,4557,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22,1616,1615,1668,1057,1388,904,1016,1359,1684])).
% 172.48/172.32 cnf(7389,plain,
% 172.48/172.32 (~E(f13(a111,f5(a111,f13(a111,f3(a111),f4(a111)),f4(a111)),f4(a111)),f3(a111))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,563,726,493,513,601,7248,572,640,668,607,608,724,670,624,7279,7282,649,591,616,7316,1912,6497,487,656,6612,6919,6930,600,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,564,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,398,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,407,502,444,445,527,742,519,518,382,594,5858,6574,6674,6955,7352,6312,6295,5733,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5671,5738,4119,5298,6330,4460,6093,5792,6524,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,6897,5953,6933,5618,7117,7188,3566,6302,4087,2187,5669,6493,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,7327,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,5474,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4517,4984,4173,4635,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,4557,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22,1616,1615,1668,1057,1388,904,1016,1359,1684,1021,1559,1250,277,1421,1591,1055])).
% 172.48/172.32 cnf(7391,plain,
% 172.48/172.32 (~P5(a111,f3(a111),f5(a111,f3(a111),f4(a111)))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,563,726,493,513,601,7248,572,640,668,607,608,724,670,624,7279,7282,649,591,616,7316,1912,6497,487,656,6612,6919,6930,600,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,564,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,398,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,407,502,444,445,596,527,742,519,518,382,594,5858,6574,6674,6955,7352,6312,6295,5733,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5671,5738,4119,5298,6330,4460,6093,5792,6524,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,6077,6079,5788,6510,6748,6897,5953,6933,5618,7117,7188,3566,6302,4087,2187,5669,6493,7007,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,7327,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,5474,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4517,4984,4173,4635,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,4557,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22,1616,1615,1668,1057,1388,904,1016,1359,1684,1021,1559,1250,277,1421,1591,1055,1304])).
% 172.48/172.32 cnf(7392,plain,
% 172.48/172.32 (E(f13(a111,f5(a111,x73921,x73922),x73922),x73921)),
% 172.48/172.32 inference(rename_variables,[],[5669])).
% 172.48/172.32 cnf(7398,plain,
% 172.48/172.32 (~E(f14(a1,f13(a110,f23(a1),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x73981),f23(a1))),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,563,726,493,513,601,7248,572,640,668,607,608,724,670,624,7279,7282,649,591,616,7316,1912,6497,487,656,6612,6919,6930,600,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,564,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,398,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,407,502,444,445,596,527,742,519,518,382,594,5858,6574,6674,6955,7352,6312,6295,5733,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5671,5738,4119,5298,6330,4460,6093,5792,6524,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5862,7104,7173,7309,6077,6079,5788,6510,6748,6897,5953,6933,5618,7117,7188,3566,6302,4087,2187,5669,6493,7007,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,7327,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,5474,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4517,4984,4173,4635,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,4557,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22,1616,1615,1668,1057,1388,904,1016,1359,1684,1021,1559,1250,277,1421,1591,1055,1304,1656,1423,927])).
% 172.48/172.32 cnf(7419,plain,
% 172.48/172.32 (~P17(a1)+~P6(a1,x74191,x74192)+P6(a1,f7(a1,f31(a1,f33(f33(f12(a109),f4(a109)),x74191),x74193)),x74192)),
% 172.48/172.32 inference(scs_inference,[],[722,6630,6857,1914,560,695,665,631,702,704,585,629,671,6846,7091,676,582,6503,6597,693,7153,447,489,504,563,726,493,513,642,601,7248,572,640,668,607,608,724,670,624,7279,7282,649,591,616,7316,1912,6497,487,656,6612,6919,6930,600,750,6544,6687,6828,6960,7220,593,578,6498,6618,6664,6901,7004,7045,7084,7168,579,6578,6678,6849,6945,7088,430,432,437,453,458,459,542,643,558,6673,6698,6795,564,615,6509,7028,660,625,6621,6646,664,679,6579,6714,6995,747,6478,6823,480,436,454,501,534,587,6715,7105,570,749,559,6566,6573,604,661,6483,6488,6643,6881,6938,6963,7133,6642,6753,6806,610,752,479,390,406,536,638,6577,6634,639,6798,425,606,6663,743,6506,512,392,541,733,384,476,647,580,6690,7074,393,413,751,389,557,491,398,424,467,477,525,383,500,508,409,391,507,394,556,6515,603,506,466,396,385,446,745,503,407,502,386,444,445,596,527,742,519,518,382,594,5858,6574,6674,6955,7352,6312,6296,6295,5733,6290,6280,5883,5563,5027,6356,5464,5980,3713,5902,5540,5600,6308,6013,3967,6567,2479,5805,4682,6257,6794,5581,6516,5938,6527,6540,6606,6609,6627,6648,6732,6735,6742,5543,6920,5876,6647,5731,6555,6615,6745,5077,2154,5671,5738,4119,5298,6330,4460,6093,5792,6524,4406,5486,2513,6274,5881,5055,7039,5481,6841,3491,5527,5862,7104,7173,7309,6077,6079,5788,6510,6748,6897,5953,6933,5618,7117,7188,3566,6302,4087,2187,5669,6493,7007,7392,5900,3393,5995,6223,4572,6565,6572,7161,5062,5336,6087,6336,5649,7302,4968,6276,3820,2375,6216,6045,5561,4623,5781,4378,2441,6204,5933,4123,6238,4358,5692,5846,4897,4718,6058,6350,5570,6677,6833,6876,6910,7060,7099,7130,7236,5957,6637,6868,6925,7112,7156,7327,5102,5390,5639,5136,5719,4488,4531,6162,2117,5955,5967,5400,4609,6006,5597,6530,6789,5521,5458,6601,7055,6263,5850,6188,6657,6669,5783,6942,6964,7094,7241,6004,6482,6487,6098,4010,6138,5449,5607,6756,5518,6282,6536,6071,6772,7012,5483,6762,4917,2139,5712,6759,6116,5680,5947,6159,5053,5474,6230,5889,3305,4651,4511,5271,4905,4314,2242,2244,4870,2399,4586,4091,4517,4984,4173,4635,4052,4751,5303,4868,2472,2137,3310,4909,2008,2923,2867,3582,6496,4557,1916,1926,2284,4229,2907,4759,2455,6722,3335,4213,4475,3337,5374,1368,1369,1327,1654,1825,1903,1905,1648,1798,1815,1900,1511,1895,1229,1518,1424,1321,317,1259,309,1864,1456,1330,1189,1601,936,1469,1004,834,1167,1451,1166,1781,335,874,901,1201,926,1844,1843,1727,1513,1398,1397,1362,1228,1880,1118,1331,1258,1254,1878,1531,1275,1632,1857,934,1198,892,1005,910,1780,1098,1271,1170,1434,912,1018,1013,939,1485,1470,1217,1169,1675,900,952,1514,1157,1156,1679,1876,1279,1112,1809,1041,1183,1446,1340,1785,1231,1230,1523,1661,1881,1879,1870,1869,1357,933,780,1137,1108,1590,1558,1875,1172,1220,810,890,800,1339,1334,1158,1355,1855,895,1085,1534,1655,911,971,1604,1249,1168,888,1195,1019,959,1360,925,1831,1402,990,1312,1524,1834,1577,1617,1308,1417,1010,1236,1770,1444,991,1216,1561,1138,1058,1363,1361,1489,1462,935,1416,1084,937,1097,1671,1302,1324,1432,1571,1215,1237,1479,1430,1613,1725,785,1074,1033,1100,1234,1612,1012,1573,1040,272,1594,1341,1335,1792,1698,972,868,775,1490,1345,1606,921,1142,1882,1650,1567,1102,922,802,1124,1390,1867,1280,969,883,881,1133,1337,1243,1515,889,893,1657,1425,1532,1478,1404,1319,1159,1433,1325,983,903,8,1267,1680,1841,902,894,1020,832,1154,967,1311,1193,1191,896,1560,1107,1533,1238,1235,1673,1833,1176,1457,756,1162,1122,1589,851,1165,1056,1095,957,1015,1431,1677,897,1094,1091,1658,1450,1073,299,286,1885,1871,1332,1182,291,357,1868,1358,985,993,1320,1343,917,1866,1842,1832,1233,833,1075,1197,783,1435,1002,995,1155,1326,997,940,1000,1090,1089,1449,367,356,345,344,339,311,310,305,297,290,284,368,306,304,43,288,2,6,282,287,312,348,355,349,293,298,283,292,15,347,20,3,7,16,301,281,280,1499,1600,1787,1049,1695,1218,1418,1272,1894,1212,1208,1845,1640,1419,1177,22,1616,1615,1668,1057,1388,904,1016,1359,1684,1021,1559,1250,277,1421,1591,1055,1304,1656,1423,927,1083,1303,1329,1079,1247,1910,1551,1265])).
% 172.48/172.32 cnf(7438,plain,
% 172.48/172.32 (P4(x74381,x74382,f31(x74381,x74382,x74383))),
% 172.48/172.32 inference(rename_variables,[],[643])).
% 172.48/172.32 cnf(7442,plain,
% 172.48/172.32 (~P4(x74421,x74422,f2(f114(x74421,a1)))),
% 172.48/172.32 inference(rename_variables,[],[747])).
% 172.48/172.32 cnf(7448,plain,
% 172.48/172.32 (P11(f112(x74481),f31(f112(x74481),f6(f112(x74481),f2(f114(f112(x74481),a1))),x74482),f2(f114(f112(x74481),a1)),f6(f112(x74481),f2(f114(f112(x74481),a1))))),
% 172.48/172.32 inference(rename_variables,[],[6581])).
% 172.48/172.32 cnf(7451,plain,
% 172.48/172.32 (~P6(a110,x74511,f2(a110))),
% 172.48/172.32 inference(rename_variables,[],[1918])).
% 172.48/172.32 cnf(7456,plain,
% 172.48/172.32 (P5(a110,x74561,f33(f33(f12(a110),x74561),f33(f33(f12(a110),x74561),x74561)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7457,plain,
% 172.48/172.32 (P5(a110,x74571,x74571)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(7460,plain,
% 172.48/172.32 (P5(a110,x74601,f33(f33(f12(a110),x74601),f33(f33(f12(a110),x74601),x74601)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7461,plain,
% 172.48/172.32 (P5(a110,x74611,x74611)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(7464,plain,
% 172.48/172.32 (~P4(x74641,x74642,f2(f114(x74641,a1)))),
% 172.48/172.32 inference(rename_variables,[],[747])).
% 172.48/172.32 cnf(7467,plain,
% 172.48/172.32 (P5(a110,f5(a110,f14(a110,x74671,x74672),x74673),x74671)),
% 172.48/172.32 inference(rename_variables,[],[6797])).
% 172.48/172.32 cnf(7468,plain,
% 172.48/172.32 (P5(a110,x74681,f33(f33(f12(a110),x74681),f33(f33(f12(a110),x74681),x74681)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7469,plain,
% 172.48/172.32 (P5(a110,f3(a110),x74691)),
% 172.48/172.32 inference(rename_variables,[],[587])).
% 172.48/172.32 cnf(7471,plain,
% 172.48/172.32 (P5(a109,f3(a109),f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f4(a109))))),
% 172.48/172.32 inference(scs_inference,[],[1918,447,526,679,7456,7460,747,7442,579,7457,587,643,556,396,518,6581,6822,7179,6797,7098,6519,5526,6284,4439,5267,3641,2867,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517])).
% 172.48/172.32 cnf(7472,plain,
% 172.48/172.32 (P5(a109,f3(a109),f33(f33(f12(a109),x74721),x74721))),
% 172.48/172.32 inference(rename_variables,[],[2867])).
% 172.48/172.32 cnf(7473,plain,
% 172.48/172.32 (~P5(a109,f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f27(x74731)),f4(a109)),f4(a109))),x74731)),
% 172.48/172.32 inference(rename_variables,[],[7098])).
% 172.48/172.32 cnf(7479,plain,
% 172.48/172.32 (P6(f114(a109,a1),f65(f31(a109,x74791,x74792),f30(a109,f14(f114(a109,a1),f31(a109,x74793,f2(f114(a109,a1))),f2(f114(a109,a1)))),a109),f31(a109,x74793,f2(f114(a109,a1))))),
% 172.48/172.32 inference(rename_variables,[],[6840])).
% 172.48/172.32 cnf(7480,plain,
% 172.48/172.32 (~P4(x74801,x74802,f2(f114(x74801,a1)))),
% 172.48/172.32 inference(rename_variables,[],[747])).
% 172.48/172.32 cnf(7485,plain,
% 172.48/172.32 (P5(a109,x74851,x74851)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(7493,plain,
% 172.48/172.32 (~P8(x74931,x74932,x74933,x74934,f2(f114(x74931,a1)),f13(a109,f29(a110,f27(x74934)),f4(a109)))),
% 172.48/172.32 inference(scs_inference,[],[1918,447,748,1916,399,526,578,679,7456,7460,7468,747,7442,7464,579,7457,587,643,477,556,396,444,518,6581,6822,6535,6840,7372,7256,7179,6797,7098,6519,5446,5526,6284,4439,5267,3779,3641,2867,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894])).
% 172.48/172.32 cnf(7495,plain,
% 172.48/172.32 (~P5(a111,f3(a111),f5(a111,f4(a111),f33(f33(f12(a111),f4(a111)),f13(a111,f5(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f4(a111)))))),
% 172.48/172.32 inference(scs_inference,[],[1918,447,748,1916,399,526,578,679,7456,7460,7468,747,7442,7464,579,7457,587,643,477,556,396,444,518,594,6581,6822,6535,6840,7372,7256,7179,6797,6764,7098,6519,5446,5526,6284,4439,5669,5267,3779,3641,2867,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654])).
% 172.48/172.32 cnf(7497,plain,
% 172.48/172.32 (~P5(a111,f13(a111,f5(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),x74971),x74971)),
% 172.48/172.32 inference(rename_variables,[],[6764])).
% 172.48/172.32 cnf(7502,plain,
% 172.48/172.32 (~P4(x75021,x75022,f2(f114(x75021,a1)))),
% 172.48/172.32 inference(rename_variables,[],[747])).
% 172.48/172.32 cnf(7505,plain,
% 172.48/172.32 (P5(a110,x75051,f33(f33(f12(a110),x75051),f33(f33(f12(a110),x75051),x75051)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7514,plain,
% 172.48/172.32 (P6(a110,x75141,f13(a110,x75142,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x75141),f4(a109)),f4(a109))))))),
% 172.48/172.32 inference(rename_variables,[],[7114])).
% 172.48/172.32 cnf(7517,plain,
% 172.48/172.32 (P5(a109,f3(a109),f33(f33(f12(a109),x75171),x75171))),
% 172.48/172.32 inference(rename_variables,[],[2867])).
% 172.48/172.32 cnf(7529,plain,
% 172.48/172.32 (P5(a109,x75291,x75291)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(7534,plain,
% 172.48/172.32 (P5(a109,x75341,x75341)),
% 172.48/172.32 inference(rename_variables,[],[578])).
% 172.48/172.32 cnf(7551,plain,
% 172.48/172.32 (P5(a110,x75511,x75511)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(7552,plain,
% 172.48/172.32 (~P5(a110,f13(a110,f33(f33(f12(a110),f5(a110,x75521,x75521)),x75522),f22(f13(a109,f29(a110,x75523),f4(a109)))),x75523)),
% 172.48/172.32 inference(rename_variables,[],[5455])).
% 172.48/172.32 cnf(7557,plain,
% 172.48/172.32 (~P20(f5(f114(x75571,a1),a110,f2(f114(x75571,a1))))),
% 172.48/172.32 inference(scs_inference,[],[481,577,1918,620,447,748,1916,399,526,578,7485,7529,535,679,7456,7460,7468,7505,747,7442,7464,7480,7502,579,7457,7461,587,571,559,492,643,398,477,476,556,396,557,407,444,518,594,7355,5575,6581,6822,6535,6840,6277,7354,7372,6041,4780,6641,6944,7256,7179,7114,6797,6764,7098,7473,6034,6519,5446,5928,6206,5526,6589,6284,5455,5605,4439,5652,4647,5669,5267,3779,3641,2867,7472,7517,4670,2907,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317])).
% 172.48/172.32 cnf(7565,plain,
% 172.48/172.32 (P5(a110,f3(a110),x75651)),
% 172.48/172.32 inference(rename_variables,[],[587])).
% 172.48/172.32 cnf(7566,plain,
% 172.48/172.32 (~E(f13(a110,f33(f33(f12(a110),f5(a110,f3(a110),f3(a110))),x75661),f13(a110,x75662,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x75662)),
% 172.48/172.32 inference(rename_variables,[],[7303])).
% 172.48/172.32 cnf(7576,plain,
% 172.48/172.32 (~P4(x75761,x75762,f2(f114(x75761,a1)))),
% 172.48/172.32 inference(rename_variables,[],[747])).
% 172.48/172.32 cnf(7582,plain,
% 172.48/172.32 (P5(a109,f14(a109,x75821,x75822),x75821)),
% 172.48/172.32 inference(rename_variables,[],[2123])).
% 172.48/172.32 cnf(7602,plain,
% 172.48/172.32 (P5(a111,x76021,x76021)),
% 172.48/172.32 inference(rename_variables,[],[580])).
% 172.48/172.32 cnf(7604,plain,
% 172.48/172.32 (~P6(a110,f5(a110,f13(a110,x76041,f33(f33(f12(a110),x76041),f33(f33(f12(a110),x76041),x76041))),x76041),f5(a110,f33(f33(f12(a110),x76041),f33(f33(f12(a110),x76041),x76041)),x76041))),
% 172.48/172.32 inference(scs_inference,[],[382,481,678,577,1918,620,447,748,1916,399,526,578,7485,7529,453,458,535,615,679,7456,7460,7468,7505,747,7442,7464,7480,7502,579,7457,7461,436,587,7469,571,749,559,395,562,492,638,541,580,643,398,477,476,556,508,396,557,745,409,407,444,527,518,594,7355,5575,3739,6972,6244,6581,7448,3711,6822,6075,7238,6535,4893,6840,7479,7303,6277,7354,7372,6041,4780,6641,6944,7256,7179,2123,7114,6797,6764,7098,7473,6034,6519,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,3649,5605,4439,5652,2797,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782])).
% 172.48/172.32 cnf(7605,plain,
% 172.48/172.32 (P5(a110,x76051,f13(a110,x76051,x76052))),
% 172.48/172.32 inference(rename_variables,[],[638])).
% 172.48/172.32 cnf(7606,plain,
% 172.48/172.32 (P5(a110,x76061,f33(f33(f12(a110),x76061),f33(f33(f12(a110),x76061),x76061)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7607,plain,
% 172.48/172.32 (~P6(a110,f13(a110,x76071,x76072),x76072)),
% 172.48/172.32 inference(rename_variables,[],[749])).
% 172.48/172.32 cnf(7609,plain,
% 172.48/172.32 (P11(f112(x76091),f31(f112(x76091),f6(f112(x76091),f2(f114(f112(x76091),a1))),f31(f112(x76091),x76092,x76093)),f16(f114(x76094,a1),f2(f114(f112(x76091),a1)),f2(f114(f112(x76091),a1))),f6(f112(x76091),f2(f114(f112(x76091),a1))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,678,577,1918,620,447,748,1916,399,526,578,7485,7529,453,458,535,615,679,7456,7460,7468,7505,747,7442,7464,7480,7502,579,7457,7461,436,587,7469,571,749,559,395,562,492,638,541,580,643,398,477,476,556,508,396,557,745,409,407,444,527,518,594,7355,5575,3739,6972,6929,6244,6581,7448,3711,6822,6075,7238,6535,4893,6840,7479,7303,6277,7354,7372,6041,4780,6641,6944,7256,7179,2123,7114,6797,6764,7098,7473,6034,6519,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,3649,5605,4439,5652,2797,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335])).
% 172.48/172.32 cnf(7611,plain,
% 172.48/172.32 (~P6(a109,f13(a109,f29(a110,f22(f5(a109,f29(a110,x76111),f3(a109)))),x76112),x76112)),
% 172.48/172.32 inference(rename_variables,[],[6940])).
% 172.48/172.32 cnf(7618,plain,
% 172.48/172.32 (P5(a109,f14(a109,x76181,x76182),x76181)),
% 172.48/172.32 inference(rename_variables,[],[2123])).
% 172.48/172.32 cnf(7622,plain,
% 172.48/172.32 (~P11(a110,f23(f114(a110,a1)),f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1)))),f2(a110))),
% 172.48/172.32 inference(scs_inference,[],[382,481,678,577,1918,620,447,748,1916,399,526,578,7485,7529,453,458,535,615,679,7456,7460,7468,7505,747,7442,7464,7480,7502,7576,579,7457,7461,436,587,7469,571,749,559,395,562,492,638,541,580,643,398,477,733,384,476,556,508,396,557,745,409,407,444,527,518,594,7355,5575,3739,6972,6929,6244,6581,7448,3711,6822,6075,7238,6535,7295,4893,6840,7479,7303,6277,7354,7372,6326,6041,4780,6641,6944,7256,7179,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,3649,5605,4439,5652,2797,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785])).
% 172.48/172.32 cnf(7630,plain,
% 172.48/172.32 (P5(a110,x76301,x76301)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(7635,plain,
% 172.48/172.32 (~E(f5(a109,x76351,x76351),f5(a109,f13(a109,f13(a109,f29(a110,f27(f6(a109,f23(f114(a109,a1))))),f4(a109)),f4(a109)),f6(a109,f23(f114(a109,a1)))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,678,577,1918,620,447,644,748,1916,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,747,7442,7464,7480,7502,7576,579,7457,7461,7551,436,587,7469,571,749,559,395,562,492,638,541,580,643,398,477,424,733,384,476,556,508,396,557,745,409,407,503,444,527,518,594,7355,5575,3739,6825,6972,6975,6929,6244,6581,7448,3711,6822,6075,7238,6535,7295,4893,6840,7479,7303,6277,7354,7372,6326,7367,6041,4780,6641,6944,7256,7179,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,6156,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,7552,3649,5605,4439,5652,2797,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357])).
% 172.48/172.32 cnf(7637,plain,
% 172.48/172.32 (P5(f114(x76371,a1),f16(f114(x76372,a1),x76373,f5(f114(x76372,a1),x76374,x76373)),f16(f114(x76372,a1),x76373,x76374))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,678,577,1918,620,447,644,748,1916,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,747,7442,7464,7480,7502,7576,579,7457,7461,7551,436,587,7469,571,749,559,395,562,492,638,541,580,643,398,477,424,733,384,476,556,508,396,557,745,409,407,503,444,527,518,594,7355,5575,3739,6825,6972,6975,6929,6244,6581,7448,3711,6822,6075,7238,6535,7295,4893,6840,7479,7303,6277,7354,7372,6326,7367,6041,4780,6641,6944,7256,7179,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,6156,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,7552,3649,5605,4439,5652,2797,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874])).
% 172.48/172.32 cnf(7639,plain,
% 172.48/172.32 (~P4(x76391,x76392,f6(f114(x76391,a1),f33(f33(f12(a109),f4(a109)),f2(f114(f114(x76391,a1),a1)))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,678,577,1918,620,447,644,748,1916,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,747,7442,7464,7480,7502,7576,579,7457,7461,7551,436,587,7469,571,749,559,395,562,492,638,541,580,643,398,477,424,733,384,476,556,508,396,557,745,409,407,503,444,527,518,594,7355,5575,3739,6825,6972,6975,6929,6244,6581,7448,3711,6822,6075,7238,6535,7295,4893,6840,7479,7303,6277,7354,7372,6326,7367,6041,4780,6641,6944,7256,7179,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,6156,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,7552,3649,5605,4439,5652,2797,5938,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514])).
% 172.48/172.32 cnf(7640,plain,
% 172.48/172.32 (~P4(x76401,x76402,f33(f33(f12(a109),f4(a109)),f2(f114(x76401,a1))))),
% 172.48/172.32 inference(rename_variables,[],[5938])).
% 172.48/172.32 cnf(7653,plain,
% 172.48/172.32 (P5(a109,f16(f114(x76531,a1),x76532,f5(f114(x76531,a1),x76533,x76532)),f16(f114(x76531,a1),x76532,x76533))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,678,577,1918,620,447,644,748,1916,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,436,587,7469,571,749,559,395,562,492,638,541,580,643,398,477,424,733,384,476,556,508,396,557,745,409,407,503,386,444,527,518,594,7355,6741,5575,3739,6825,6972,6975,6929,6244,6581,7448,3711,6822,6075,7238,6535,7295,4893,6840,7479,7303,6277,7354,7372,6326,7367,6041,4780,6641,6944,7256,7179,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,6156,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,7552,3649,5605,4439,3630,5652,2797,5938,7640,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780])).
% 172.48/172.32 cnf(7658,plain,
% 172.48/172.32 (~P6(a110,f13(a110,x76581,x76582),x76582)),
% 172.48/172.32 inference(rename_variables,[],[749])).
% 172.48/172.32 cnf(7661,plain,
% 172.48/172.32 (P4(f114(x76611,a1),x76612,f30(x76611,x76612))),
% 172.48/172.32 inference(rename_variables,[],[610])).
% 172.48/172.32 cnf(7667,plain,
% 172.48/172.32 (~E(x76671,f13(a110,f33(f33(f12(a110),f5(a110,f5(a110,f3(a110),f3(a110)),f3(a110))),x76672),f13(a110,f13(a110,f33(f33(f12(a110),f3(a110)),x76672),x76671),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,1918,620,447,644,748,1916,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,436,587,7469,7565,571,749,7607,559,395,562,610,492,638,541,580,643,398,477,424,733,384,476,556,508,396,557,745,409,407,503,386,444,527,518,594,7355,6550,6741,5575,3739,6825,6972,7014,6975,6929,6244,6581,7448,3711,6822,6075,7238,6535,7295,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,4780,6641,6944,7256,7179,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,6156,7185,5446,5928,6689,6557,6206,5526,6589,6284,5455,7552,3649,5605,4439,3630,5652,2797,5938,7640,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843])).
% 172.48/172.32 cnf(7668,plain,
% 172.48/172.32 (P5(a110,f3(a110),x76681)),
% 172.48/172.32 inference(rename_variables,[],[587])).
% 172.48/172.32 cnf(7669,plain,
% 172.48/172.32 (~E(f13(a110,f33(f33(f12(a110),f5(a110,f3(a110),f3(a110))),x76691),f13(a110,x76692,f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x76692)),
% 172.48/172.32 inference(rename_variables,[],[7303])).
% 172.48/172.32 cnf(7674,plain,
% 172.48/172.32 (P5(a110,f5(a110,x76741,x76742),x76741)),
% 172.48/172.32 inference(rename_variables,[],[639])).
% 172.48/172.32 cnf(7682,plain,
% 172.48/172.32 (P4(a109,a58,f16(f114(a109,a1),x76821,a113))),
% 172.48/172.32 inference(rename_variables,[],[2841])).
% 172.48/172.32 cnf(7683,plain,
% 172.48/172.32 (~P4(a109,x76831,f7(f114(a109,a1),f30(a109,x76832)))),
% 172.48/172.32 inference(rename_variables,[],[6477])).
% 172.48/172.32 cnf(7684,plain,
% 172.48/172.32 (~P78(f33(f6(f114(x76841,a1),f16(f114(f114(x76841,a1),a1),f6(f114(f114(x76841,a1),a1),f2(f114(f114(f114(x76841,a1),a1),a1))),f19(a109,f23(f114(a109,a1)),a113))),x76842))),
% 172.48/172.32 inference(rename_variables,[],[7014])).
% 172.48/172.32 cnf(7695,plain,
% 172.48/172.32 (~P5(f114(a109,a1),f31(a109,x76951,x76952),f50(f31(a109,x76951,x76952),f30(a109,f3(a110)),f114(a109,a1)))),
% 172.48/172.32 inference(rename_variables,[],[5080])).
% 172.48/172.32 cnf(7696,plain,
% 172.48/172.32 (P5(f114(x76961,a1),f2(f114(x76961,a1)),x76962)),
% 172.48/172.32 inference(rename_variables,[],[619])).
% 172.48/172.32 cnf(7700,plain,
% 172.48/172.32 (~P4(a109,x77001,f7(f114(a109,a1),f30(a109,x77002)))),
% 172.48/172.32 inference(rename_variables,[],[6477])).
% 172.48/172.32 cnf(7701,plain,
% 172.48/172.32 (P78(f33(f23(f114(x77011,a1)),x77012))),
% 172.48/172.32 inference(rename_variables,[],[625])).
% 172.48/172.32 cnf(7711,plain,
% 172.48/172.32 (~E(x77111,f13(a109,f29(a110,f27(x77111)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[1916])).
% 172.48/172.32 cnf(7714,plain,
% 172.48/172.32 (P6(a109,x77141,f13(a109,f29(a110,f27(x77141)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(7718,plain,
% 172.48/172.32 (E(f33(f33(f12(a110),x77181),x77182),f33(f33(f12(a110),f5(a110,f13(a110,f3(a110),x77181),f3(a110))),x77182))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,1918,620,388,447,644,748,619,1916,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,571,749,7607,559,625,661,395,562,610,492,638,639,7674,541,580,643,647,398,477,424,387,733,384,476,556,508,396,466,557,745,409,407,503,386,444,527,518,594,7355,6550,6741,5575,3739,6825,6972,7014,6975,6929,6244,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,4780,6641,6944,7256,7179,6477,7683,6832,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,3630,5991,5652,2797,5938,7640,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058])).
% 172.48/172.32 cnf(7720,plain,
% 172.48/172.32 (~P6(a110,f16(f114(x77201,a1),x77202,f5(f114(x77201,a1),x77203,x77202)),f16(f114(x77201,a1),x77202,x77203))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,1918,620,388,447,644,748,619,1916,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,571,749,7607,559,625,661,395,562,610,492,638,639,7674,541,580,643,392,647,398,477,424,387,733,384,476,556,508,396,466,557,745,409,407,503,386,444,527,518,594,7355,6550,6741,5575,3739,6825,6972,7014,6975,6929,6244,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,4780,6641,6944,7256,7179,6477,7683,6832,2123,7582,7114,6797,6764,6940,7098,7473,6034,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,3630,5991,5652,2797,5938,7640,4647,5669,2419,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910])).
% 172.48/172.32 cnf(7723,plain,
% 172.48/172.32 (P5(f114(x77231,a1),f5(f114(x77231,a1),x77232,x77233),x77232)),
% 172.48/172.32 inference(rename_variables,[],[658])).
% 172.48/172.32 cnf(7737,plain,
% 172.48/172.32 (~P6(a111,f3(a111),f33(f33(f12(a111),f33(f33(f12(a109),f4(a109)),f3(a111))),f33(f33(f12(a109),f4(a109)),f3(a111))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,1918,620,658,388,447,644,748,619,1916,605,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,571,749,7607,559,625,661,395,562,610,492,638,639,7674,541,606,580,7602,643,392,647,398,735,477,424,387,733,384,476,556,467,508,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,6741,5575,3739,6150,6825,6972,7014,6975,6929,6244,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,6814,4780,6641,6944,7256,7179,6477,7683,6832,2123,7582,7114,6797,6764,6940,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,3630,5991,5652,2797,5938,7640,4647,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271])).
% 172.48/172.32 cnf(7739,plain,
% 172.48/172.32 (P5(a111,f33(f33(f12(a109),f4(a109)),f3(a111)),f4(a111))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,1918,620,658,388,447,644,748,619,1916,605,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,571,749,7607,559,625,661,395,562,610,492,638,639,7674,541,606,580,7602,643,392,647,398,735,477,424,387,733,384,476,556,467,508,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,6741,5575,3739,6150,6825,6972,7014,6975,6929,6244,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,6814,4780,6641,6944,7256,7179,6477,7683,6832,2123,7582,7114,6797,6764,6940,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,3630,5991,5652,2797,5938,7640,4647,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991])).
% 172.48/172.32 cnf(7748,plain,
% 172.48/172.32 (~P6(a110,x77481,f2(a110))),
% 172.48/172.32 inference(rename_variables,[],[1918])).
% 172.48/172.32 cnf(7749,plain,
% 172.48/172.32 (P6(a110,x77491,f33(f33(f12(a110),f13(a110,f27(f29(a110,x77491)),f4(a110))),f13(a110,f27(f29(a110,x77491)),f4(a110))))),
% 172.48/172.32 inference(rename_variables,[],[6771])).
% 172.48/172.32 cnf(7751,plain,
% 172.48/172.32 (P5(a111,f5(a111,f3(a111),f4(a111)),f13(a111,f4(a111),f3(a111)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,1918,7451,620,658,388,447,644,748,619,1916,1912,605,412,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,571,749,7607,559,625,661,7714,395,562,610,492,638,639,7674,541,606,580,7602,643,392,647,398,735,477,424,387,733,384,476,556,467,508,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,5698,6741,5575,3739,6150,6825,6972,7014,6975,6929,6244,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,6771,6832,2123,7582,7114,6797,6764,6940,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,3630,5991,5652,2797,5938,7640,4647,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935])).
% 172.48/172.32 cnf(7758,plain,
% 172.48/172.32 (P5(a110,f5(a110,x77581,x77582),x77581)),
% 172.48/172.32 inference(rename_variables,[],[639])).
% 172.48/172.32 cnf(7760,plain,
% 172.48/172.32 (P6(a111,f16(f114(x77601,a1),x77602,f5(f114(x77601,a1),x77603,x77602)),f13(a111,f16(f114(x77601,a1),x77602,x77603),f4(a111)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,388,447,644,748,619,1916,1912,605,412,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,571,749,7607,559,625,661,7714,395,562,610,492,638,639,7674,541,606,580,7602,643,392,647,398,735,477,424,387,733,384,476,556,467,383,508,507,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,5698,6741,5575,3739,6150,6825,6972,7014,6975,6929,6244,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,6771,6832,2123,7582,7114,6797,6764,6940,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,3630,5991,5652,2797,5938,7640,4647,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055])).
% 172.48/172.32 cnf(7763,plain,
% 172.48/172.32 (~P4(a109,x77631,f7(f114(a109,a1),f30(a109,x77632)))),
% 172.48/172.32 inference(rename_variables,[],[6477])).
% 172.48/172.32 cnf(7766,plain,
% 172.48/172.32 (P6(a110,x77661,f33(f33(f12(a110),f13(a110,f27(f29(a110,x77661)),f4(a110))),f13(a110,f27(f29(a110,x77661)),f4(a110))))),
% 172.48/172.32 inference(rename_variables,[],[6771])).
% 172.48/172.32 cnf(7775,plain,
% 172.48/172.32 (P5(f114(x77751,a1),f5(f114(x77751,a1),x77752,x77753),x77752)),
% 172.48/172.32 inference(rename_variables,[],[658])).
% 172.48/172.32 cnf(7789,plain,
% 172.48/172.32 (P5(a110,f3(a110),x77891)),
% 172.48/172.32 inference(rename_variables,[],[587])).
% 172.48/172.32 cnf(7797,plain,
% 172.48/172.32 (~P4(x77971,x77972,f6(f114(x77973,a1),f16(f114(f114(x77973,a1),a1),f6(f114(f114(x77973,a1),a1),f2(f114(f114(f114(x77973,a1),a1),a1))),f19(a109,f23(f114(a109,a1)),a113))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,1912,605,412,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,541,606,580,7602,643,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,5698,6741,5575,3739,6150,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,5938,7640,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952])).
% 172.48/172.32 cnf(7799,plain,
% 172.48/172.32 (P11(f14(a110,f112(x77991),f112(x77991)),f31(f112(x77991),f6(f112(x77991),f2(f114(f112(x77991),a1))),f31(f112(x77991),x77992,x77993)),f2(f114(f112(x77991),a1)),f6(f112(x77991),f2(f114(f112(x77991),a1))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,1912,605,412,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,541,606,580,7602,643,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,5698,6741,5575,3739,6150,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,5938,7640,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333])).
% 172.48/172.32 cnf(7804,plain,
% 172.48/172.32 (~P5(a1,f5(a110,f13(a109,f13(a110,f2(a1),f3(a110)),f4(a109)),f3(a110)),f7(a1,f31(a1,f2(a1),x78041)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,1912,605,412,399,526,578,7485,7529,7534,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,5698,6741,5575,3739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,5938,7640,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279])).
% 172.48/172.32 cnf(7805,plain,
% 172.48/172.32 (P4(x78051,x78052,f31(x78051,x78052,x78053))),
% 172.48/172.32 inference(rename_variables,[],[643])).
% 172.48/172.32 cnf(7812,plain,
% 172.48/172.32 (P5(f114(x78121,a1),f16(f114(x78122,a1),x78123,x78124),f16(f114(x78122,a1),x78123,f5(f114(x78122,a1),x78124,x78123)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,518,594,7355,6550,5698,6741,5575,3739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868])).
% 172.48/172.32 cnf(7824,plain,
% 172.48/172.32 (P5(a109,x78241,f13(a109,f33(f33(f12(a109),f5(a109,f5(a109,x78242,x78242),x78243)),x78244),f13(a109,f33(f33(f12(a109),x78243),x78244),x78241)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869])).
% 172.48/172.32 cnf(7830,plain,
% 172.48/172.32 (P9(x78301,x78302,f31(x78301,f16(f114(x78303,a1),x78304,f5(f114(x78303,a1),x78305,x78304)),f2(f114(x78301,a1))),f16(f114(x78303,a1),x78304,x78305))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656])).
% 172.48/172.32 cnf(7836,plain,
% 172.48/172.32 (~E(f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883])).
% 172.48/172.32 cnf(7838,plain,
% 172.48/172.32 (~P6(f114(x78381,a1),f16(f114(x78382,a1),x78383,f5(f114(x78382,a1),x78384,x78383)),f16(f114(x78382,a1),x78383,x78384))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972])).
% 172.48/172.32 cnf(7842,plain,
% 172.48/172.32 (P12(a109,x78421,f7(f114(a109,a1),f30(a109,x78422)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157])).
% 172.48/172.32 cnf(7851,plain,
% 172.48/172.32 (P5(a110,x78511,f33(f33(f12(a110),x78511),f33(f33(f12(a110),x78511),x78511)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7853,plain,
% 172.48/172.32 (~P6(f112(x78531),f16(f114(x78532,a1),x78533,f5(f114(x78532,a1),x78534,x78533)),f16(f114(x78532,a1),x78533,x78534))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,744,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911])).
% 172.48/172.32 cnf(7854,plain,
% 172.48/172.32 (P49(f112(x78541))),
% 172.48/172.32 inference(rename_variables,[],[559])).
% 172.48/172.32 cnf(7856,plain,
% 172.48/172.32 (~E(f13(a110,f33(f33(f24(a110),f3(a110)),f13(a110,f27(f3(a109)),f4(a110))),f2(a110)),f13(a110,x78561,f33(f33(f24(a110),f13(a110,f27(f3(a109)),f4(a110))),f13(a110,f27(f3(a109)),f4(a110)))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,650,678,577,490,725,1918,7451,7748,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,744,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319])).
% 172.48/172.32 cnf(7858,plain,
% 172.48/172.32 (~P6(a110,f16(f114(x78581,a1),f5(f114(x78581,a1),x78582,x78583),x78583),f16(f114(x78581,a1),x78582,x78583))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,744,638,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888])).
% 172.48/172.32 cnf(7862,plain,
% 172.48/172.32 (P5(a110,f13(a110,x78621,x78622),f13(a110,f13(a110,x78621,x78623),x78622))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423])).
% 172.48/172.32 cnf(7864,plain,
% 172.48/172.32 (P5(f114(x78641,a1),x78642,f16(f114(x78643,a1),f23(f114(x78644,a1)),x78645))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655])).
% 172.48/172.32 cnf(7866,plain,
% 172.48/172.32 (P5(f112(x78661),f16(f114(x78662,a1),x78663,f5(f114(x78662,a1),x78664,x78663)),f16(f114(x78662,a1),x78663,x78664))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,620,658,7723,388,447,644,748,619,7696,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802])).
% 172.48/172.32 cnf(7870,plain,
% 172.48/172.32 (P5(a110,f3(a110),x78701)),
% 172.48/172.32 inference(rename_variables,[],[587])).
% 172.48/172.32 cnf(7871,plain,
% 172.48/172.32 (P5(a110,x78711,f33(f33(f12(a110),x78711),f33(f33(f12(a110),x78711),x78711)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7874,plain,
% 172.48/172.32 (P5(a110,x78741,f33(f33(f12(a110),x78741),f33(f33(f12(a110),x78741),x78741)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7885,plain,
% 172.48/172.32 (P5(a109,f3(a109),f29(a110,x78851))),
% 172.48/172.32 inference(rename_variables,[],[603])).
% 172.48/172.32 cnf(7887,plain,
% 172.48/172.32 (~P13(a109,f15(a109),f29(a110,f3(a110)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,620,658,7723,388,447,644,748,619,7696,640,1916,7711,1912,605,412,399,526,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,5443,7372,6326,7367,6332,6041,2443,3933,6922,6814,4780,6641,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,5812,6889,6034,7219,6519,6863,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172])).
% 172.48/172.32 cnf(7890,plain,
% 172.48/172.32 (P5(a110,x78901,f33(f33(f12(a110),x78901),f33(f33(f12(a110),x78901),x78901)))),
% 172.48/172.32 inference(rename_variables,[],[679])).
% 172.48/172.32 cnf(7899,plain,
% 172.48/172.32 (~E(x78991,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x78991),f4(a109)),f4(a109)))))),
% 172.48/172.32 inference(rename_variables,[],[6830])).
% 172.48/172.32 cnf(7907,plain,
% 172.48/172.32 (~P6(a110,f27(f16(a109,f29(a110,x79071),x79072)),x79071)),
% 172.48/172.32 inference(rename_variables,[],[7195])).
% 172.48/172.32 cnf(7912,plain,
% 172.48/172.32 (~P6(a110,x79121,f2(a110))),
% 172.48/172.32 inference(rename_variables,[],[1918])).
% 172.48/172.32 cnf(7917,plain,
% 172.48/172.32 (~P6(a110,x79171,f2(a110))),
% 172.48/172.32 inference(rename_variables,[],[1918])).
% 172.48/172.32 cnf(7919,plain,
% 172.48/172.32 (~P6(a111,f13(a111,f5(a111,f13(a111,x79191,f4(a111)),f4(a111)),f4(a111)),x79191)),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,620,658,7723,388,447,644,748,619,7696,640,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,5443,7372,6326,7367,6332,6041,6838,2443,3933,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7195,6832,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216])).
% 172.48/172.32 cnf(7927,plain,
% 172.48/172.32 (~E(f13(a110,x79271,f2(f114(x79272,a1))),f13(a110,x79271,f31(x79272,x79273,x79274)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,620,658,7723,388,447,486,644,748,619,7696,640,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,5443,7372,6326,7367,6332,6041,6838,2443,3933,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097])).
% 172.48/172.32 cnf(7929,plain,
% 172.48/172.32 (P78(f33(f19(a109,f23(f114(a109,a1)),f5(f114(a109,a1),x79291,x79291)),x79292))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,620,658,7723,388,447,486,644,748,619,7696,640,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,5443,7372,6326,7367,6332,6041,6838,2443,3933,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,6940,7611,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770])).
% 172.48/172.32 cnf(7930,plain,
% 172.48/172.32 (~P4(x79301,x79302,f5(f114(x79301,a1),x79303,x79303))),
% 172.48/172.32 inference(rename_variables,[],[4635])).
% 172.48/172.32 cnf(7933,plain,
% 172.48/172.32 (~P5(a111,f13(a111,f5(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),x79331),x79331)),
% 172.48/172.32 inference(rename_variables,[],[6764])).
% 172.48/172.32 cnf(7935,plain,
% 172.48/172.32 (P6(a111,f33(f33(f12(a109),f4(a109)),f5(a111,x79351,f4(a111))),x79351)),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,620,658,7723,388,447,486,644,748,619,7696,640,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,5443,7372,6326,7367,6332,6041,6838,2443,3933,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324])).
% 172.48/172.32 cnf(7942,plain,
% 172.48/172.32 (P5(a110,f14(f114(x79421,a1),f23(f114(x79421,a1)),f2(a110)),f2(a110))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,620,623,658,7723,388,447,486,644,748,619,7696,640,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,5443,7372,6326,7367,6332,6041,6838,5672,2443,3933,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967])).
% 172.48/172.32 cnf(7943,plain,
% 172.48/172.32 (~P6(a110,x79431,f2(a110))),
% 172.48/172.32 inference(rename_variables,[],[1918])).
% 172.48/172.32 cnf(7944,plain,
% 172.48/172.32 (E(f14(f114(x79441,a1),f23(f114(x79441,a1)),x79442),x79442)),
% 172.48/172.32 inference(rename_variables,[],[623])).
% 172.48/172.32 cnf(7946,plain,
% 172.48/172.32 (P6(a109,f3(a109),f33(f33(f12(a109),f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109)))),f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(f3(a109))),f4(a109)))))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,620,623,658,7723,388,447,486,644,748,619,7696,640,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,6277,7354,5443,7372,6326,7367,6332,6041,6838,5672,2443,3933,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363])).
% 172.48/172.32 cnf(7947,plain,
% 172.48/172.32 (P6(a109,x79471,f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f13(a109,f29(a110,f27(x79471)),f4(a109))))),
% 172.48/172.32 inference(rename_variables,[],[6937])).
% 172.48/172.32 cnf(7952,plain,
% 172.48/172.32 (P5(a110,x79521,x79521)),
% 172.48/172.32 inference(rename_variables,[],[579])).
% 172.48/172.32 cnf(7962,plain,
% 172.48/172.32 (~P6(a110,x79621,x79621)),
% 172.48/172.32 inference(rename_variables,[],[737])).
% 172.48/172.32 cnf(7963,plain,
% 172.48/172.32 (P6(a110,x79631,f33(f33(f12(a110),f13(a110,f27(f29(a110,x79631)),f4(a110))),f13(a110,f27(f29(a110,x79631)),f4(a110))))),
% 172.48/172.32 inference(rename_variables,[],[6771])).
% 172.48/172.32 cnf(7965,plain,
% 172.48/172.32 (~E(f13(a110,f13(a110,f13(a110,f3(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f13(a110,f3(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x79651),f3(a110))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,6326,7367,6332,6041,6838,5672,2443,3933,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894])).
% 172.48/172.32 cnf(7973,plain,
% 172.48/172.32 (~E(x79731,f13(a109,f29(a110,f27(x79731)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[1916])).
% 172.48/172.32 cnf(7978,plain,
% 172.48/172.32 (~E(f13(a111,f5(a111,f4(a111),f13(a111,f4(a111),f4(a111))),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f3(a111))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,6326,7367,6332,5550,6041,6838,5672,2443,3933,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851])).
% 172.48/172.32 cnf(7980,plain,
% 172.48/172.32 (~P6(a109,f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),x79801),x79801)),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,6326,7367,6332,5550,6041,6838,5672,2443,3933,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430])).
% 172.48/172.32 cnf(7981,plain,
% 172.48/172.32 (~P6(a109,x79811,x79811)),
% 172.48/172.32 inference(rename_variables,[],[1912])).
% 172.48/172.32 cnf(7982,plain,
% 172.48/172.32 (P6(a109,x79821,f13(a109,f29(a110,f27(x79821)),f4(a109)))),
% 172.48/172.32 inference(rename_variables,[],[661])).
% 172.48/172.32 cnf(7992,plain,
% 172.48/172.32 (~P5(f112(x79921),f23(f112(x79921)),f6(f112(x79921),f2(f114(f112(x79921),a1))))),
% 172.48/172.32 inference(rename_variables,[],[7350])).
% 172.48/172.32 cnf(7994,plain,
% 172.48/172.32 (P5(f114(a109,a1),f5(f114(a109,a1),f31(a109,a58,x79941),a113),x79941)),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,7775,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573])).
% 172.48/172.32 cnf(7995,plain,
% 172.48/172.32 (P5(f114(x79951,a1),f5(f114(x79951,a1),x79952,x79953),x79952)),
% 172.48/172.32 inference(rename_variables,[],[658])).
% 172.48/172.32 cnf(8000,plain,
% 172.48/172.32 (P7(x80001,x80002,x80003,f16(f114(x80004,a1),x80005,x80006),f2(f114(x80001,a1)),f16(f114(x80004,a1),x80005,f5(f114(x80004,a1),x80006,x80005)))),
% 172.48/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,7775,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,2168,5267,3199,3779,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277])).
% 172.48/172.32 cnf(8001,plain,
% 172.48/172.32 (~P1(f5(f114(x80011,a1),a110,f2(f114(x80011,a1))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,7775,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272])).
% 172.55/172.32 cnf(8002,plain,
% 172.55/172.32 (E(f5(f114(x80021,a1),x80022,f2(f114(x80021,a1))),x80022)),
% 172.55/172.32 inference(rename_variables,[],[620])).
% 172.55/172.32 cnf(8003,plain,
% 172.55/172.32 (P78(f33(f19(f112(x80031),f23(f114(f112(x80031),a1)),x80032),f7(f112(x80031),f33(f33(f12(a109),f4(a109)),f2(f114(f112(x80031),a1))))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,7775,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,5812,6889,6034,7329,7219,6519,6863,2467,6156,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792])).
% 172.55/172.32 cnf(8005,plain,
% 172.55/172.32 (P2(f112(x80051))),
% 172.55/172.32 inference(rename_variables,[],[556])).
% 172.55/172.32 cnf(8015,plain,
% 172.55/172.32 (~P78(f33(f5(f114(x80151,a1),f19(a109,f2(f114(a109,a1)),x80152),x80153),f31(x80154,x80155,x80156)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,7775,7995,388,447,486,644,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124])).
% 172.55/172.32 cnf(8024,plain,
% 172.55/172.32 (~P5(a110,f13(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110))),f27(f29(a110,f3(a110))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,535,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243])).
% 172.55/172.32 cnf(8025,plain,
% 172.55/172.32 (P5(a109,f3(a109),f29(a110,x80251))),
% 172.55/172.32 inference(rename_variables,[],[603])).
% 172.55/172.32 cnf(8029,plain,
% 172.55/172.32 (~E(f33(f33(f12(a109),f4(a109)),f3(a111)),f4(a111))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889])).
% 172.55/172.32 cnf(8032,plain,
% 172.55/172.32 (E(f5(f114(x80321,a1),x80322,f2(f114(x80321,a1))),x80322)),
% 172.55/172.32 inference(rename_variables,[],[620])).
% 172.55/172.32 cnf(8036,plain,
% 172.55/172.32 (E(f97(x80361,x80361,f2(f114(x80362,a1))),f3(a110))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917])).
% 172.55/172.32 cnf(8043,plain,
% 172.55/172.32 (P5(a109,f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f3(a109)),f33(f33(f12(a109),f13(a109,f29(a110,f27(f3(a109))),f4(a109))),f13(a109,f29(a110,f27(f3(a109))),f4(a109))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985])).
% 172.55/172.32 cnf(8048,plain,
% 172.55/172.32 (~P6(a110,x80481,f2(a110))),
% 172.55/172.32 inference(rename_variables,[],[1918])).
% 172.55/172.32 cnf(8050,plain,
% 172.55/172.32 (P4(x80501,x80502,f23(f114(x80503,a1)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,1916,7711,1912,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922])).
% 172.55/172.32 cnf(8055,plain,
% 172.55/172.32 (~P5(a1,f6(a1,f31(a1,f5(a110,f13(a109,f13(a110,f2(a1),f3(a110)),f4(a109)),f3(a110)),x80551)),f2(a1))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,1916,7711,1912,656,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,6832,2120,2123,7582,4256,7114,7514,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280])).
% 172.55/172.32 cnf(8056,plain,
% 172.55/172.32 (P4(x80561,x80562,f31(x80561,x80562,x80563))),
% 172.55/172.32 inference(rename_variables,[],[643])).
% 172.55/172.32 cnf(8079,plain,
% 172.55/172.32 (E(f13(a111,f2(f114(x80791,a1)),f33(f33(f12(a111),f5(a111,x80792,x80792)),x80793)),f2(f114(x80794,a1)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,7962,1916,7711,1912,656,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,6034,6804,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832])).
% 172.55/172.32 cnf(8082,plain,
% 172.55/172.32 (P5(a110,x80821,f33(f33(f12(a110),x80821),f33(f33(f12(a110),x80821),x80821)))),
% 172.55/172.32 inference(rename_variables,[],[679])).
% 172.55/172.32 cnf(8087,plain,
% 172.55/172.32 (P5(a110,x80871,x80871)),
% 172.55/172.32 inference(rename_variables,[],[579])).
% 172.55/172.32 cnf(8091,plain,
% 172.55/172.32 (~P4(x80911,x80912,f7(f114(x80911,a1),f23(f114(f114(x80911,a1),a1))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,7962,1916,7711,1912,656,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,392,647,398,735,477,424,387,733,384,394,476,556,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,6959,6764,7497,6940,7611,6937,7947,7098,7473,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983])).
% 172.55/172.32 cnf(8104,plain,
% 172.55/172.32 (~P12(f112(x81041),f23(f112(x81041)),f23(f114(f112(x81041),a1)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,7962,1916,7711,7973,1912,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,392,647,398,735,477,424,387,733,384,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176])).
% 172.55/172.32 cnf(8106,plain,
% 172.55/172.32 (P5(a110,f16(f114(x81061,a1),x81062,f5(f114(x81061,a1),x81063,x81062)),f16(f114(x81061,a1),x81062,x81063))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,577,490,725,1918,7451,7748,7912,7917,7943,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,7962,1916,7711,7973,1912,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,392,647,398,735,477,424,387,733,384,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783])).
% 172.55/172.32 cnf(8109,plain,
% 172.55/172.32 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x81091),f4(a109)),f4(a109)))),x81091)),
% 172.55/172.32 inference(rename_variables,[],[7238])).
% 172.55/172.32 cnf(8130,plain,
% 172.55/172.32 (~P6(a109,x81301,x81301)),
% 172.55/172.32 inference(rename_variables,[],[1912])).
% 172.55/172.32 cnf(8133,plain,
% 172.55/172.32 (E(f5(a110,f14(a110,f3(a110),x81331),x81332),f3(a110))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,392,647,398,735,477,424,387,733,384,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,5698,6526,6741,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897])).
% 172.55/172.32 cnf(8146,plain,
% 172.55/172.32 (~P6(a111,f33(f33(f12(a111),f5(a111,f5(a111,x81461,x81462),f5(a111,x81461,x81462))),x81463),f3(a111))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450])).
% 172.55/172.32 cnf(8154,plain,
% 172.55/172.32 (~P5(a1,f5(a110,f13(a110,x81541,f13(a109,f13(a110,f2(a1),f3(a110)),f4(a109))),f13(a110,x81541,f3(a110))),f2(a1))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,677,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,6170,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291])).
% 172.55/172.32 cnf(8155,plain,
% 172.55/172.32 (E(f5(a110,f13(a110,x81551,x81552),f13(a110,x81551,x81553)),f5(a110,x81552,x81553))),
% 172.55/172.32 inference(rename_variables,[],[677])).
% 172.55/172.32 cnf(8158,plain,
% 172.55/172.32 (P5(f114(x81581,a1),f14(f114(x81582,a1),f19(a109,f23(f114(a109,a1)),a113),x81583),x81584)),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,677,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,623,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,6170,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,4872,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358])).
% 172.55/172.32 cnf(8160,plain,
% 172.55/172.32 (~P6(a109,f3(a109),f33(f33(f12(a109),f5(f114(x81601,a1),f3(a109),f2(f114(x81601,a1)))),f5(f114(x81601,a1),f3(a109),f2(f114(x81601,a1)))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,677,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,623,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,6170,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,4872,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182])).
% 172.55/172.32 cnf(8161,plain,
% 172.55/172.32 (E(f5(f114(x81611,a1),x81612,f2(f114(x81611,a1))),x81612)),
% 172.55/172.32 inference(rename_variables,[],[620])).
% 172.55/172.32 cnf(8173,plain,
% 172.55/172.32 (P6(a109,x81731,f29(a110,f33(f33(f12(a110),f13(a110,f27(x81731),f4(a110))),f33(f33(f12(a110),f13(a110,f27(x81731),f4(a110))),f13(a110,f27(x81731),f4(a110))))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,677,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,623,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,6170,6272,5605,4439,5926,2801,2520,3630,5991,5652,2797,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435])).
% 172.55/172.32 cnf(8174,plain,
% 172.55/172.32 (P5(a110,x81741,f33(f33(f12(a110),x81741),f33(f33(f12(a110),x81741),x81741)))),
% 172.55/172.32 inference(rename_variables,[],[679])).
% 172.55/172.32 cnf(8187,plain,
% 172.55/172.32 (~P5(a109,f13(a109,f13(a109,f4(a109),f29(a110,x81871)),f29(a110,x81871)),f3(a109))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,678,677,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,623,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,5048,6326,7367,6332,5550,6041,6838,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997])).
% 172.55/172.32 cnf(8195,plain,
% 172.55/172.32 (~P15(f7(f114(x81951,a1),f31(f114(x81951,a1),f23(f114(x81951,a1)),f31(f114(x81951,a1),a110,f2(f114(f114(x81951,a1),a1))))),f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,727,678,677,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,2841,7682,6589,6284,4956,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367])).
% 172.55/172.32 cnf(8197,plain,
% 172.55/172.32 (E(f16(f114(x81971,a1),x81972,f5(f114(x81971,a1),x81973,x81972)),f16(f114(x81971,a1),x81972,x81973))),
% 172.55/172.32 inference(rename_variables,[],[666])).
% 172.55/172.32 cnf(8199,plain,
% 172.55/172.32 (E(f14(f114(x81991,a1),f23(f114(x81991,a1)),x81992),x81992)),
% 172.55/172.32 inference(rename_variables,[],[623])).
% 172.55/172.32 cnf(8200,plain,
% 172.55/172.32 (~P8(x82001,x82002,x82003,f4(a109),f7(f114(x82001,a1),f23(f114(f114(x82001,a1),a1))),f33(f33(f12(a110),f3(a109)),f4(a110)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,669,650,689,727,678,677,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,6589,6284,4956,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305])).
% 172.55/172.32 cnf(8204,plain,
% 172.55/172.32 (E(f14(f114(x82041,a1),f23(f114(x82041,a1)),x82042),x82042)),
% 172.55/172.32 inference(rename_variables,[],[623])).
% 172.55/172.32 cnf(8207,plain,
% 172.55/172.32 (~P8(x82071,x82072,x82073,f33(f33(f12(a110),f4(a110)),f4(a109)),f2(f114(x82071,a1)),f33(f33(f12(a110),f3(a109)),f4(a110)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,669,650,689,727,678,677,8155,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,6589,6284,4956,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304])).
% 172.55/172.32 cnf(8209,plain,
% 172.55/172.32 (~P6(a110,x82091,f14(f114(x82092,a1),f2(a110),f23(f114(x82092,a1))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,669,650,689,727,678,677,8155,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,6589,6284,4956,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288])).
% 172.55/172.32 cnf(8210,plain,
% 172.55/172.32 (E(f14(f114(x82101,a1),x82102,f23(f114(x82101,a1))),x82102)),
% 172.55/172.32 inference(rename_variables,[],[621])).
% 172.55/172.32 cnf(8213,plain,
% 172.55/172.32 (E(f16(f114(x82131,a1),x82132,f5(f114(x82131,a1),x82133,x82132)),f16(f114(x82131,a1),x82132,x82133))),
% 172.55/172.32 inference(rename_variables,[],[666])).
% 172.55/172.32 cnf(8214,plain,
% 172.55/172.32 (E(f16(f114(x82141,a1),x82142,x82143),f16(f114(x82141,a1),x82142,f5(f114(x82141,a1),x82143,x82142)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,669,650,689,727,678,677,8155,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,6589,6284,4956,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2])).
% 172.55/172.32 cnf(8215,plain,
% 172.55/172.32 (P12(f112(x82151),x82152,f14(f114(f112(x82151),a1),x82153,f5(f114(f112(x82151),a1),x82154,x82154)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,669,650,712,689,727,678,677,8155,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,6589,6284,4956,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312])).
% 172.55/172.32 cnf(8219,plain,
% 172.55/172.32 (P9(f16(f114(x82191,a1),x82192,x82193),x82194,f31(f16(f114(x82191,a1),x82192,f5(f114(x82191,a1),x82193,x82192)),f33(f33(f12(a109),f4(a109)),f12(a110)),f2(f114(f16(f114(x82191,a1),x82192,f5(f114(x82191,a1),x82193,x82192)),a1))),f12(a110))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,669,650,712,689,727,678,677,8155,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,5592,6830,7899,7238,6535,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345])).
% 172.55/172.32 cnf(8222,plain,
% 172.55/172.32 (~P17(f33(f33(f12(a110),f5(f114(x82221,a1),f114(a109,a1),f2(f114(x82221,a1)))),f4(a110)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,669,650,712,689,727,678,677,8155,577,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,575,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293])).
% 172.55/172.32 cnf(8224,plain,
% 172.55/172.32 (E(f16(f114(x82241,a1),x82242,f5(f114(x82241,a1),x82243,x82242)),f16(f114(x82241,a1),x82242,x82243))),
% 172.55/172.32 inference(rename_variables,[],[666])).
% 172.55/172.32 cnf(8230,plain,
% 172.55/172.32 (E(f13(x82301,x82302,f16(f114(x82303,a1),x82304,f5(f114(x82303,a1),x82305,x82304))),f13(x82301,x82302,f16(f114(x82303,a1),x82304,x82305)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,650,712,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16])).
% 172.55/172.32 cnf(8232,plain,
% 172.55/172.32 (E(f14(f114(x82321,a1),x82322,f23(f114(x82321,a1))),x82322)),
% 172.55/172.32 inference(rename_variables,[],[621])).
% 172.55/172.32 cnf(8235,plain,
% 172.55/172.32 (~P5(a1,f5(a110,f13(a109,f13(a110,f2(a1),f3(a110)),f4(a109)),f3(a110)),f14(f114(x82351,a1),f2(a1),f23(f114(x82351,a1))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,650,712,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292])).
% 172.55/172.32 cnf(8242,plain,
% 172.55/172.32 (~E(x82421,f13(a109,f29(a110,f27(x82421)),f4(a109)))),
% 172.55/172.32 inference(rename_variables,[],[1916])).
% 172.55/172.32 cnf(8244,plain,
% 172.55/172.32 (E(f5(x82441,f16(f114(x82442,a1),x82443,f5(f114(x82442,a1),x82444,x82443)),x82445),f5(x82441,f16(f114(x82442,a1),x82443,x82444),x82445))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20])).
% 172.55/172.32 cnf(8251,plain,
% 172.55/172.32 (P78(f33(f31(x82511,f5(a110,f13(a110,f13(a110,x82512,x82513),x82514),x82512),x82515),f13(a110,x82513,x82514)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,2801,2520,3590,3630,5991,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682])).
% 172.55/172.32 cnf(8256,plain,
% 172.55/172.32 (P5(a110,f3(a110),x82561)),
% 172.55/172.32 inference(rename_variables,[],[587])).
% 172.55/172.32 cnf(8273,plain,
% 172.55/172.32 (~P5(f114(f114(a109,a1),a1),f14(f114(f114(a109,a1),a1),f23(f114(f114(a109,a1),a1)),f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1))),f2(f114(f114(a109,a1),a1)))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,5336,4909,3641,4635,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161])).
% 172.55/172.32 cnf(8282,plain,
% 172.55/172.32 (E(x82821,f75(a109,f14(f114(a109,a1),x82822,f2(f114(a109,a1))),f31(a109,x82821,f2(f114(a109,a1)))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,8242,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,4924,3568,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,6701,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,2240,5336,4909,3641,4635,7930,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161,966,1880,1158,1558])).
% 172.55/172.32 cnf(8287,plain,
% 172.55/172.32 (P11(f112(x82871),f31(f112(x82871),f6(f112(x82871),f2(f114(f112(x82871),a1))),f31(f112(x82871),x82872,x82873)),f2(f114(f112(x82871),a1)),f5(a110,f13(a110,f6(f112(x82871),f2(f114(f112(x82871),a1))),x82874),x82874))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,8242,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,4924,3568,7258,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,7219,6519,6863,2467,6701,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,2240,5336,4909,3641,4635,7930,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161,966,1880,1158,1558,1561,336])).
% 172.55/172.32 cnf(8288,plain,
% 172.55/172.32 (P5(a110,f33(f33(f12(a110),f5(a110,x82881,x82881)),x82882),x82883)),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,8242,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,4924,3568,7258,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,6717,7219,6519,6863,2467,6701,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,2240,5336,4909,3641,4635,7930,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161,966,1880,1158,1558,1561,336,1675])).
% 172.55/172.32 cnf(8290,plain,
% 172.55/172.32 (~P6(a109,x82901,f13(a109,f33(f33(f12(a109),f5(a109,x82902,f5(a109,x82902,f5(a109,x82903,x82903)))),x82904),x82901))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,8242,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,4924,3568,7258,6840,7479,7303,7566,7669,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,6804,7329,5768,6717,7219,6519,6863,2467,6701,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,2240,5336,4909,3641,4635,7930,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161,966,1880,1158,1558,1561,336,1675,1879])).
% 172.55/172.32 cnf(8303,plain,
% 172.55/172.32 (P5(a109,x83031,f29(a110,f27(f13(a109,x83031,f4(a109)))))),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,8242,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,393,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,4924,3568,7258,6840,7479,7303,7566,7669,7217,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,7073,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,2092,6804,7329,5768,6717,7219,6519,6863,2467,6701,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,2240,5336,4909,3641,4635,7930,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161,966,1880,1158,1558,1561,336,1675,1879,1650,1809,1142,959,1831,1677])).
% 172.55/172.32 cnf(8316,plain,
% 172.55/172.32 (P12(f112(x83161),f5(a110,f13(a110,f6(f112(x83161),f2(f114(f112(x83161),a1))),x83162),x83162),x83163)),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,8242,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,558,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,8256,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,393,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,6671,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,8109,5376,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,4924,3568,7258,6840,7479,7303,7566,7669,7217,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,7073,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,2092,6804,7329,5768,6717,7219,6519,5774,6863,2467,6701,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5581,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,2240,5336,4909,3641,4635,7930,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161,966,1880,1158,1558,1561,336,1675,1879,1650,1809,1142,959,1831,1677,1303,1094,1449,1089,311])).
% 172.55/172.32 cnf(8317,plain,
% 172.55/172.32 (P13(f112(x83171),f14(f114(f112(x83171),a1),x83172,f5(f114(f112(x83171),a1),x83173,x83173)),x83174)),
% 172.55/172.32 inference(scs_inference,[],[382,481,666,8197,8213,8224,669,684,650,712,706,689,727,678,677,8155,577,628,490,725,1918,7451,7748,7912,7917,7943,8048,673,620,8002,8032,8161,623,7944,8199,8204,582,576,621,8210,8232,575,693,663,658,7723,7775,7995,388,447,486,644,657,748,493,619,7696,640,737,7962,1916,7711,7973,8242,1912,7981,8130,656,408,605,750,412,399,526,593,578,7485,7529,7534,431,453,458,459,510,535,542,558,615,679,7456,7460,7468,7505,7606,7851,7871,7874,7890,8082,8174,437,747,7442,7464,7480,7502,7576,579,7457,7461,7551,7630,7952,8087,436,454,587,7469,7565,7668,7789,7870,8256,571,749,7607,7658,559,7854,625,7701,661,7714,7982,395,562,610,7661,731,492,744,638,7605,639,7674,7758,501,536,570,541,606,580,7602,643,7438,7805,8056,392,647,398,735,477,424,387,733,384,391,393,394,476,556,8005,467,603,7885,8025,383,508,507,411,396,506,466,557,745,409,407,503,1911,386,444,596,527,502,519,518,594,7355,4507,6705,6550,2385,6953,6671,5698,6526,6741,5184,5575,3739,6739,6150,7350,7992,6918,5531,5615,6603,6825,6972,7014,7684,6975,6929,6244,3940,6581,7448,3711,7268,6822,6075,7116,4627,5592,6830,7899,7238,8109,5376,6535,7323,7295,5080,7695,6769,7275,2049,6949,4893,4924,3568,7258,6840,7479,7303,7566,7669,7217,6277,7354,5443,5647,7372,7247,4620,5048,6326,7367,6332,5550,6041,6838,7277,5672,7278,2443,3933,2361,7076,6922,6814,4780,6641,7073,6820,6659,6944,7256,7179,6477,7683,7700,7763,7398,6771,7749,7766,7963,7195,7907,6832,7389,2120,2123,7582,7618,4256,7114,7514,7067,6797,7467,6959,6764,7497,7933,6940,7611,6937,7947,7098,7473,6786,6694,5812,6889,7240,6034,2092,6804,7329,5768,6717,7219,6519,5774,6863,2467,6701,4275,6156,5777,7185,5446,5928,6689,7163,7333,7337,6557,7062,3325,6206,6354,5526,2277,3267,2841,7682,4039,4504,5832,6589,6076,6284,4956,5725,5971,5823,5455,7552,3649,6170,6272,4818,5605,4439,5926,6074,2801,2520,3590,3630,5991,5973,5652,2797,2381,5273,2775,5581,5938,7640,5731,4647,6079,2263,5788,5669,5933,2419,5680,2168,4872,4656,5267,3199,3779,2240,5336,4909,3641,4635,7930,2867,7472,7517,4670,2907,3447,1904,1874,1437,1738,1050,1144,1779,1778,1327,1783,1517,823,1830,1642,1611,1212,1418,1455,1894,1654,1815,1229,1146,1321,1895,979,1864,1518,48,1641,1218,1616,1456,1728,1189,834,1057,1452,1451,1166,1511,1878,1331,317,1640,926,1419,1844,1198,1106,1174,1668,1422,334,904,939,1016,1217,1470,1469,912,1167,936,1485,1782,335,901,1201,1896,1041,1340,1785,1362,1231,1876,1870,1357,874,1514,1228,1108,1334,1875,933,780,895,1531,1254,971,1604,1843,1195,1534,1679,925,1855,892,1019,800,1590,1524,1857,1005,22,1258,1236,1098,1168,890,1058,910,1361,1577,1434,1304,934,1416,1271,991,810,1339,1355,1571,935,1010,1249,1489,1055,937,1479,1237,1671,1013,1215,1018,1360,1033,1612,1074,1250,900,952,333,1341,1726,1279,1112,1698,868,1183,1523,1661,1881,1869,1799,1656,1335,1230,883,972,1606,1157,1156,921,881,1532,911,1319,888,1220,1423,1655,802,1402,1312,902,1421,1137,1085,1267,1172,1311,1047,1404,1235,1083,990,1308,1193,756,1102,1138,1533,1216,1107,1084,1097,1770,1617,1324,893,1841,967,1363,1591,1834,1417,1165,1025,1432,894,785,1056,1100,1833,851,1430,1613,1234,1015,1012,1573,1658,277,272,1792,1871,775,1882,1594,1124,1390,1885,1490,1243,969,889,993,1159,917,1867,1433,985,1325,1657,922,1425,1280,903,1133,1478,1191,1560,1020,1320,832,1680,1154,1457,983,1515,1567,1075,1345,1238,1176,783,927,1832,896,1337,1326,1343,1589,1673,1155,1431,897,1162,1095,957,1122,1091,1450,1090,1073,1079,291,1868,1358,1182,357,1866,1332,1197,833,1435,1002,1233,1842,995,940,997,1000,299,367,356,310,305,297,286,368,339,304,306,288,287,2,312,348,349,345,344,293,290,284,283,6,282,43,16,355,301,280,292,15,347,3,20,7,281,7419,1049,1682,1008,1473,965,1610,1798,1143,1424,1278,1161,966,1880,1158,1558,1561,336,1675,1879,1650,1809,1142,959,1831,1677,1303,1094,1449,1089,311,298])).
% 172.55/172.32 cnf(8337,plain,
% 172.55/172.32 (~E(f5(a110,f13(a110,f13(a110,x83371,f3(a110)),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f3(a110)),x83371)),
% 172.55/172.32 inference(rename_variables,[],[7103])).
% 172.55/172.32 cnf(8338,plain,
% 172.55/172.32 (~E(x83381,f29(a110,f27(f13(a109,x83381,f4(a109)))))),
% 172.55/172.32 inference(scs_inference,[],[1916,7103,20,15])).
% 172.55/172.32 cnf(8339,plain,
% 172.55/172.32 (~E(x83391,f13(a109,f29(a110,f27(x83391)),f4(a109)))),
% 172.55/172.32 inference(rename_variables,[],[1916])).
% 172.55/172.32 cnf(8341,plain,
% 172.55/172.32 (~E(f13(a109,f33(f33(f12(a109),f5(a109,x83411,x83412)),x83413),f13(a110,f13(a109,f33(f33(f12(a109),f5(a109,x83412,x83411)),x83413),x83414),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x83414)),
% 172.55/172.32 inference(rename_variables,[],[6223])).
% 172.55/172.32 cnf(8343,plain,
% 172.55/172.32 (~E(f33(a113,a34),f33(f19(a109,f23(f114(a109,a1)),a113),x83431))),
% 172.55/172.32 inference(rename_variables,[],[5049])).
% 172.55/172.32 cnf(8346,plain,
% 172.55/172.32 (~E(f33(f19(a109,f23(f114(a109,a1)),a113),x83461),f33(a113,a34))),
% 172.55/172.32 inference(scs_inference,[],[5049,8343,1916,6223,7103,4191,20,15,16,6,43,2])).
% 172.55/172.32 cnf(8347,plain,
% 172.55/172.32 (P78(f33(a113,f75(x83471,f19(a109,f23(f114(a109,a1)),a113),a113)))),
% 172.55/172.32 inference(scs_inference,[],[2170,5049,8343,1916,6223,7103,4191,20,15,16,6,43,2,1358])).
% 172.55/172.32 cnf(8353,plain,
% 172.55/172.32 (~E(x83531,f13(a109,f29(a110,f27(x83531)),f4(a109)))),
% 172.55/172.32 inference(rename_variables,[],[1916])).
% 172.55/172.32 cnf(8358,plain,
% 172.55/172.32 (~P5(a110,f13(a110,f27(f13(a109,f5(a109,f29(a110,x83581),f3(a109)),f29(a110,x83582))),f4(a110)),x83582)),
% 172.55/172.32 inference(rename_variables,[],[7240])).
% 172.55/172.32 cnf(8362,plain,
% 172.55/172.32 (~P6(a111,f13(a111,f2(f114(x83621,a1)),f33(f33(f12(a111),f5(a111,x83622,x83622)),x83623)),f2(f114(x83624,a1)))),
% 172.55/172.32 inference(scs_inference,[],[8079,6106,7019,2170,5049,8343,1916,8339,6223,7103,7240,2139,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889])).
% 172.55/172.32 cnf(8370,plain,
% 172.55/172.32 (~P78(f33(f16(f114(x83701,a1),f6(f114(x83701,a1),f2(f114(f114(x83701,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)),x83702))),
% 172.55/172.32 inference(scs_inference,[],[8079,4052,6106,2236,7019,2170,5049,8343,1916,8339,6223,7103,7240,2139,4934,7946,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922])).
% 172.55/172.32 cnf(8375,plain,
% 172.55/172.32 (~E(f22(f13(a109,f29(a110,x83751),f4(a109))),x83751)),
% 172.55/172.32 inference(rename_variables,[],[2100])).
% 172.55/172.32 cnf(8378,plain,
% 172.55/172.32 (P4(x83781,f79(f33(f33(f12(a109),f4(a109)),f2(f114(x83782,a1))),f14(f114(x83783,a1),f19(a109,f23(f114(a109,a1)),a113),x83784),f31(x83781,f4(a111),x83785),x83781),f31(x83781,f4(a111),x83785))),
% 172.55/172.32 inference(rename_variables,[],[6808])).
% 172.55/172.32 cnf(8382,plain,
% 172.55/172.32 (P6(a110,x83821,f13(a110,x83822,f22(f13(a109,f29(a110,f13(a110,f3(a110),f33(f33(f12(a109),f4(a109)),x83821))),f4(a109)))))),
% 172.55/172.32 inference(scs_inference,[],[8079,5731,4052,6106,2236,7019,2170,5049,8343,6808,1916,8339,2100,6223,7103,6293,7240,2139,4934,7946,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191])).
% 172.55/172.32 cnf(8387,plain,
% 172.55/172.32 (~E(x83871,f27(f13(a109,f29(a110,x83871),f4(a109))))),
% 172.55/172.32 inference(scs_inference,[],[8079,5731,4052,6106,2236,7019,2170,5049,8343,6808,1916,8339,2100,6223,7103,8337,6293,7240,2139,4934,7946,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29])).
% 172.55/172.32 cnf(8388,plain,
% 172.55/172.32 (~P5(a110,f13(a110,f27(f29(a110,x83881)),f4(a110)),x83881)),
% 172.55/172.32 inference(scs_inference,[],[8079,5731,4052,6106,2236,7019,2170,5049,8343,6808,1916,8339,2100,6223,7103,8337,6293,1912,7240,2139,4934,7946,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435])).
% 172.55/172.32 cnf(8389,plain,
% 172.55/172.32 (~P6(a109,x83891,x83891)),
% 172.55/172.32 inference(rename_variables,[],[1912])).
% 172.55/172.32 cnf(8392,plain,
% 172.55/172.32 (P5(f114(x83921,a1),f19(a111,f2(f114(a111,a1)),x83922),x83923)),
% 172.55/172.32 inference(rename_variables,[],[6176])).
% 172.55/172.32 cnf(8394,plain,
% 172.55/172.32 (P78(f33(f16(f114(f114(a109,a1),a1),x83941,f30(a109,x83942)),f78(f19(a109,f23(f114(a109,a1)),a113),f30(a109,x83942),x83941,f114(a109,a1))))),
% 172.55/172.32 inference(scs_inference,[],[8079,5731,4052,5151,6106,2236,7019,2170,5049,8343,6176,6808,1916,8339,2100,6223,7103,8337,6293,1912,7240,2139,4934,7946,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952])).
% 172.55/172.32 cnf(8402,plain,
% 172.55/172.32 (~P6(a109,f13(a111,f2(f114(x84021,a1)),f33(f33(f12(a111),f5(a111,x84022,x84022)),x84023)),f2(f114(x84024,a1)))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,6106,2236,7019,2170,5049,8343,6176,6808,1916,8339,2100,6223,7103,8337,6293,1912,6918,7240,2139,4934,7946,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883])).
% 172.55/172.32 cnf(8404,plain,
% 172.55/172.32 (P5(a111,f5(a111,f33(f33(f12(a109),f4(a109)),f13(a111,x84041,f4(a111))),f4(a111)),x84041)),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,6106,2236,7019,2170,5049,8343,6176,6808,1916,8339,2100,6223,6282,7103,8337,6293,1912,6918,7240,2139,4934,7946,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325])).
% 172.55/172.32 cnf(8405,plain,
% 172.55/172.32 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x84051),f4(a111)),x84051)),
% 172.55/172.32 inference(rename_variables,[],[6282])).
% 172.55/172.32 cnf(8408,plain,
% 172.55/172.32 (~P5(a111,f13(a111,f5(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),x84081),x84081)),
% 172.55/172.32 inference(rename_variables,[],[6764])).
% 172.55/172.32 cnf(8427,plain,
% 172.55/172.32 (~P5(a109,f13(a109,f29(a110,f27(f16(a109,x84271,x84272))),f4(a109)),x84271)),
% 172.55/172.32 inference(rename_variables,[],[2137])).
% 172.55/172.32 cnf(8434,plain,
% 172.55/172.32 (E(x84341,f60(f31(x84342,x84341,f14(f114(x84343,a1),f19(a109,f23(f114(a109,a1)),a113),x84344))))),
% 172.55/172.32 inference(rename_variables,[],[5902])).
% 172.55/172.32 cnf(8437,plain,
% 172.55/172.32 (E(f13(a110,f33(f33(f12(a110),f5(a110,x84371,f13(a110,x84371,f3(a110)))),x84372),f13(a110,f33(f33(f12(a110),f3(a110)),x84372),x84373)),x84373)),
% 172.55/172.32 inference(rename_variables,[],[6860])).
% 172.55/172.32 cnf(8440,plain,
% 172.55/172.32 (~P5(a110,f13(a110,f27(f13(a109,f5(a109,f29(a110,x84401),f3(a109)),f29(a110,x84402))),f4(a110)),x84402)),
% 172.55/172.32 inference(rename_variables,[],[7240])).
% 172.55/172.32 cnf(8445,plain,
% 172.55/172.32 (P6(a110,x84451,f33(f33(f12(a110),f13(a110,f27(f29(a110,f13(a110,x84451,x84452))),f4(a110))),f13(a110,f27(f29(a110,f13(a110,x84451,x84452))),f4(a110))))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,5902,6106,2236,7019,2170,5049,8343,6176,6808,1916,8339,2100,6223,5607,6282,7103,8337,6293,1912,2137,6918,7240,8358,2139,6771,4848,6764,6034,4934,7946,6860,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308])).
% 172.55/172.32 cnf(8449,plain,
% 172.55/172.32 (~E(f5(a110,f13(a109,f13(a110,x84491,f3(a110)),f4(a109)),f3(a110)),x84491)),
% 172.55/172.32 inference(rename_variables,[],[2209])).
% 172.55/172.32 cnf(8459,plain,
% 172.55/172.32 (~P4(x84591,x84592,f16(f114(x84591,a1),f6(f114(x84591,a1),f2(f114(f114(x84591,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.55/172.32 inference(rename_variables,[],[4052])).
% 172.55/172.32 cnf(8470,plain,
% 172.55/172.32 (~P5(a110,f13(a110,f27(f13(a109,f5(a109,f29(a110,x84701),f3(a109)),f29(a110,x84702))),f4(a110)),x84702)),
% 172.55/172.32 inference(rename_variables,[],[7240])).
% 172.55/172.32 cnf(8475,plain,
% 172.55/172.32 (E(f97(x84751,x84751,f14(f114(x84752,a1),f2(f114(x84753,a1)),f2(f114(x84753,a1)))),f3(a110))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,2244,5902,6106,2236,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,2209,8449,6223,5607,6282,7006,7103,8337,6293,1912,2137,6918,7240,8358,8440,2139,6771,4848,4917,6764,5142,6034,4934,7946,8173,6860,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890])).
% 172.55/172.32 cnf(8481,plain,
% 172.55/172.32 (~P5(a110,f13(a110,f27(f13(a109,f5(a109,f29(a110,x84811),f3(a109)),f29(a110,f13(a110,x84812,x84813)))),f4(a110)),x84813)),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,2244,5902,6106,2236,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,2209,8449,6223,5607,6282,7006,7103,8337,6293,1912,2137,6918,4452,7240,8358,8440,8470,2139,6771,4848,4917,6764,5142,6034,4934,2469,7946,8173,6860,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195])).
% 172.55/172.32 cnf(8482,plain,
% 172.55/172.32 (~P5(a110,f13(a110,f27(f13(a109,f5(a109,f29(a110,x84821),f3(a109)),f29(a110,x84822))),f4(a110)),x84822)),
% 172.55/172.32 inference(rename_variables,[],[7240])).
% 172.55/172.32 cnf(8485,plain,
% 172.55/172.32 (~P4(x84851,x84852,f14(f114(x84853,a1),f19(a109,f23(f114(a109,a1)),a113),x84854))),
% 172.55/172.32 inference(rename_variables,[],[5731])).
% 172.55/172.32 cnf(8489,plain,
% 172.55/172.32 (~E(x84891,f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f27(x84891)),f4(a109)),f4(a109))))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,2244,5902,6106,2236,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,2209,8449,6830,6223,5607,6282,7006,7103,8337,6293,1912,2137,6918,4452,7240,8358,8440,8470,2139,6771,4848,4917,6764,5142,6034,4934,2469,7946,8173,6860,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22])).
% 172.55/172.32 cnf(8490,plain,
% 172.55/172.32 (~E(x84901,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x84901),f4(a109)),f4(a109)))))),
% 172.55/172.32 inference(rename_variables,[],[6830])).
% 172.55/172.32 cnf(8495,plain,
% 172.55/172.32 (~P5(a109,f29(a110,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f4(a109),f4(a109))))),f29(a110,f4(a110)))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,2244,5902,6106,2236,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,2209,8449,6830,6223,5607,6282,7006,7103,8337,6293,1912,2137,6918,4452,7240,8358,8440,8470,8482,2139,6771,4848,4917,6764,5142,6034,4934,2469,4580,7946,8173,6860,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085])).
% 172.55/172.32 cnf(8503,plain,
% 172.55/172.32 (~P5(a111,f13(a111,x85031,f4(a111)),x85031)),
% 172.55/172.32 inference(rename_variables,[],[6694])).
% 172.55/172.32 cnf(8506,plain,
% 172.55/172.32 (~P6(a109,x85061,x85061)),
% 172.55/172.32 inference(rename_variables,[],[1912])).
% 172.55/172.32 cnf(8510,plain,
% 172.55/172.32 (~P5(a109,f13(a109,f29(a110,f13(a110,x85101,f22(x85102))),f4(a109)),x85102)),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,2244,5902,6106,2236,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,2209,8449,5053,6830,6223,5607,6282,7006,7103,8337,6293,1912,8389,2137,6918,4452,4495,6694,7240,8358,8440,8470,8482,2139,6771,4488,4848,4917,6764,5142,6034,4934,2469,4580,7946,8173,6860,8437,4191,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019])).
% 172.55/172.32 cnf(8511,plain,
% 172.55/172.32 (~P5(a110,f22(f13(a109,f29(a110,f13(a110,x85111,x85112)),f4(a109))),x85112)),
% 172.55/172.32 inference(rename_variables,[],[4488])).
% 172.55/172.32 cnf(8522,plain,
% 172.55/172.32 (~E(f22(f13(a109,f29(a110,x85221),f4(a109))),x85221)),
% 172.55/172.32 inference(rename_variables,[],[2100])).
% 172.55/172.32 cnf(8530,plain,
% 172.55/172.32 (~P6(a111,f13(a111,f5(a111,x85301,f4(a111)),f4(a111)),x85301)),
% 172.55/172.32 inference(rename_variables,[],[7329])).
% 172.55/172.32 cnf(8536,plain,
% 172.55/172.32 (~E(f23(f114(x85361,a1)),f33(f12(a109),f4(a109)))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,5731,4052,5151,2244,5902,6106,2236,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,8375,2209,8449,5053,6830,6223,5607,6282,7006,7103,8337,6293,3337,4475,1912,8389,2137,6918,4452,4495,6959,6694,7240,8358,8440,8470,8482,7329,2139,6771,4488,4848,4917,6764,5142,6034,4934,2469,4580,7946,8173,6860,8437,4191,2992,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874])).
% 172.55/172.32 cnf(8549,plain,
% 172.55/172.32 (P6(a110,x85491,f22(f13(a109,f29(a110,f13(a110,f3(a110),f33(f33(f12(a109),f4(a109)),x85491))),f4(a109))))),
% 172.55/172.32 inference(rename_variables,[],[6293])).
% 172.55/172.32 cnf(8562,plain,
% 172.55/172.32 (~P6(a111,f13(a111,f5(a111,x85621,f4(a111)),f4(a111)),x85621)),
% 172.55/172.32 inference(rename_variables,[],[7329])).
% 172.55/172.32 cnf(8565,plain,
% 172.55/172.32 (E(f33(f33(f12(a110),x85651),x85652),f33(f33(f12(a110),f5(a110,f13(a110,f3(a110),x85651),f3(a110))),x85652))),
% 172.55/172.32 inference(rename_variables,[],[7718])).
% 172.55/172.32 cnf(8577,plain,
% 172.55/172.32 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x85771),f4(a109)),f4(a109)))),x85771)),
% 172.55/172.32 inference(rename_variables,[],[7238])).
% 172.55/172.32 cnf(8591,plain,
% 172.55/172.32 (~P6(a111,f13(a111,f5(a111,f13(a111,x85911,f4(a111)),f4(a111)),f4(a111)),x85911)),
% 172.55/172.32 inference(rename_variables,[],[7919])).
% 172.55/172.32 cnf(8602,plain,
% 172.55/172.32 (P3(f114(x86021,f112(x86022)))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,4229,5731,4052,5151,2244,5902,6106,2236,4007,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,8375,7238,3322,2209,8449,5053,6830,8490,6223,5607,6282,8219,7942,7006,7103,8337,6593,6293,8549,3337,557,4475,1912,8389,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760])).
% 172.55/172.32 cnf(8614,plain,
% 172.55/172.32 (~P6(f13(a110,f3(a110),a109),f4(f13(a110,f3(a110),a109)),f3(f13(a110,f3(a110),a109)))),
% 172.55/172.32 inference(scs_inference,[],[8079,3515,4229,5731,4052,5151,2244,5902,6106,2236,4007,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,8375,7238,3322,3319,3313,3278,3265,2209,8449,5053,6830,8490,6223,5607,6282,8219,7942,7006,7103,8337,3897,6593,6293,8549,3337,557,4475,1912,8389,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942])).
% 172.55/172.32 cnf(8623,plain,
% 172.55/172.32 (~P6(a110,x86231,f14(f114(x86232,a1),f2(a110),f23(f114(x86232,a1))))),
% 172.55/172.32 inference(rename_variables,[],[8209])).
% 172.55/172.32 cnf(8628,plain,
% 172.55/172.32 (~P6(a110,x86281,f14(f114(x86282,a1),f2(a110),f23(f114(x86282,a1))))),
% 172.55/172.32 inference(rename_variables,[],[8209])).
% 172.55/172.32 cnf(8637,plain,
% 172.55/172.32 (~P6(a110,x86371,f14(f114(x86372,a1),f2(a110),f23(f114(x86372,a1))))),
% 172.55/172.32 inference(rename_variables,[],[8209])).
% 172.55/172.32 cnf(8640,plain,
% 172.55/172.32 (~P6(a110,x86401,f14(f114(x86402,a1),f2(a110),f23(f114(x86402,a1))))),
% 172.55/172.32 inference(rename_variables,[],[8209])).
% 172.55/172.32 cnf(8643,plain,
% 172.55/172.32 (P4(x86431,f78(f19(a109,f23(f114(a109,a1)),a113),f31(x86431,a115,x86432),x86433,x86431),f16(f114(x86431,a1),x86433,f31(x86431,a115,x86432)))),
% 172.55/172.32 inference(rename_variables,[],[2205])).
% 172.55/172.32 cnf(8646,plain,
% 172.55/172.32 (E(f13(a110,x86461,f97(x86461,x86461,f14(f114(x86462,a1),f2(f114(x86463,a1)),f2(f114(x86463,a1))))),x86461)),
% 172.55/172.32 inference(rename_variables,[],[2244])).
% 172.55/172.32 cnf(8648,plain,
% 172.55/172.32 (E(x86481,f60(f31(x86482,x86481,f14(f114(x86483,a1),f19(a109,f23(f114(a109,a1)),a113),x86484))))),
% 172.55/172.32 inference(rename_variables,[],[5902])).
% 172.55/172.32 cnf(8650,plain,
% 172.55/172.32 (E(f13(a110,x86501,f97(x86501,x86501,f14(f114(x86502,a1),f2(f114(x86503,a1)),f2(f114(x86503,a1))))),x86501)),
% 172.55/172.32 inference(rename_variables,[],[2244])).
% 172.55/172.32 cnf(8653,plain,
% 172.55/172.32 (E(f13(a111,f2(f114(x86531,a1)),f33(f33(f12(a111),f5(a111,x86532,x86532)),x86533)),f2(f114(x86534,a1)))),
% 172.55/172.32 inference(rename_variables,[],[8079])).
% 172.55/172.32 cnf(8655,plain,
% 172.55/172.33 (E(f14(f114(x86551,a1),f2(f114(x86551,a1)),x86552),f2(f114(x86553,a1)))),
% 172.55/172.33 inference(rename_variables,[],[5978])).
% 172.55/172.33 cnf(8656,plain,
% 172.55/172.33 (P5(f114(x86561,a1),f14(f114(x86561,a1),f14(f114(x86561,a1),x86562,x86563),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x86561,a1),x86562,x86564))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(8657,plain,
% 172.55/172.33 (E(f13(a111,f2(f114(x86571,a1)),f33(f33(f12(a111),f5(a111,x86572,x86572)),x86573)),f19(a109,f23(f114(a109,a1)),a113))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,5978,3515,4229,5731,4052,5151,2244,8646,2205,5902,8434,8648,1993,6106,2236,4007,7019,3493,2170,5049,8343,6176,6808,1916,8339,2100,8375,7238,6273,3322,3319,3313,3303,3278,3265,5048,2209,8449,5053,4613,4634,6830,8490,6223,5725,5607,6282,8219,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,6593,6293,8549,3337,557,4475,1912,8389,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3])).
% 172.55/172.33 cnf(8658,plain,
% 172.55/172.33 (E(f13(a111,f2(f114(x86581,a1)),f33(f33(f12(a111),f5(a111,x86582,x86582)),x86583)),f2(f114(x86584,a1)))),
% 172.55/172.33 inference(rename_variables,[],[8079])).
% 172.55/172.33 cnf(8660,plain,
% 172.55/172.33 (E(f13(a110,x86601,f97(x86601,x86601,f14(f114(x86602,a1),f2(f114(x86603,a1)),f2(f114(x86603,a1))))),x86601)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(8662,plain,
% 172.55/172.33 (E(f13(a111,f2(f114(x86621,a1)),f33(f33(f12(a111),f5(a111,x86622,x86622)),x86623)),f2(f114(x86624,a1)))),
% 172.55/172.33 inference(rename_variables,[],[8079])).
% 172.55/172.33 cnf(8666,plain,
% 172.55/172.33 (E(f13(a110,x86661,f97(x86661,x86661,f14(f114(x86662,a1),f2(f114(x86663,a1)),f2(f114(x86663,a1))))),x86661)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(8667,plain,
% 172.55/172.33 (P10(f13(a110,f3(a110),a110),f33(f33(f12(a109),f4(a109)),f23(f114(x86671,a1))),f3(a110))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,3515,4229,5731,4052,5151,2244,8646,8650,8660,2205,5902,8434,8648,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,1916,8339,2100,8375,7238,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,5725,5607,6282,6290,8219,7276,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,6593,6293,8549,3337,557,4475,1912,8389,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356])).
% 172.55/172.33 cnf(8668,plain,
% 172.55/172.33 (~P33(f13(a110,f16(f114(x86681,a1),f2(f114(x86681,a1)),f18(x86682,a110,f23(f114(x86682,a1)))),f97(f16(f114(x86681,a1),f2(f114(x86681,a1)),f18(x86682,a110,f23(f114(x86682,a1)))),f16(f114(x86681,a1),f2(f114(x86681,a1)),f18(x86682,a110,f23(f114(x86682,a1)))),f14(f114(x86683,a1),f2(f114(x86684,a1)),f2(f114(x86684,a1))))))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,2205,5902,8434,8648,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,1916,8339,2100,8375,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,5725,5607,6282,6290,8219,7276,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,6593,6293,8549,3337,557,4475,1912,8389,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339])).
% 172.55/172.33 cnf(8669,plain,
% 172.55/172.33 (E(f13(a110,x86691,f97(x86691,x86691,f14(f114(x86692,a1),f2(f114(x86693,a1)),f2(f114(x86693,a1))))),x86691)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(8671,plain,
% 172.55/172.33 (P8(x86711,x86712,x86713,f13(a111,f2(f114(x86714,a1)),f33(f33(f12(a111),f5(a111,x86715,x86715)),x86716)),f2(f114(f33(f33(f12(a109),f4(a109)),x86711),a1)),f2(f114(x86717,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,2205,5902,8434,8648,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,1916,8339,2100,8375,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,5725,6074,5607,6282,6290,8219,7276,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,6304,6593,6293,8549,3337,557,4475,1912,8389,2290,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306])).
% 172.55/172.33 cnf(8672,plain,
% 172.55/172.33 (P8(x86721,x86722,x86723,x86724,f2(f114(f33(f33(f12(a109),f4(a109)),x86721),a1)),x86724)),
% 172.55/172.33 inference(rename_variables,[],[6304])).
% 172.55/172.33 cnf(8673,plain,
% 172.55/172.33 (P4(x86731,f2(f114(x86732,a1)),f31(x86731,f33(f33(f12(a109),f4(a109)),f14(f114(x86733,a1),f2(f114(x86733,a1)),x86734)),x86735))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,8655,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,2205,5902,8434,8648,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,1916,8339,2100,8375,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,5725,6074,6296,5607,6282,6290,8219,7276,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,6304,6593,6293,8549,3337,557,4475,1912,8389,2290,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282])).
% 172.55/172.33 cnf(8674,plain,
% 172.55/172.33 (P4(x86741,x86742,f31(x86741,f33(f33(f12(a109),f4(a109)),x86742),x86743))),
% 172.55/172.33 inference(rename_variables,[],[6296])).
% 172.55/172.33 cnf(8675,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),f13(a111,f2(f114(x86751,a1)),f33(f33(f12(a111),f5(a111,x86752,x86752)),x86753))),f4(a111)),f2(f114(x86754,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,8655,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,2205,5902,8434,8648,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,1916,8339,2100,8375,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,5725,6074,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,6304,6593,6293,8549,3337,557,4475,1912,8389,2290,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288])).
% 172.55/172.33 cnf(8676,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x86761),f4(a111)),x86761)),
% 172.55/172.33 inference(rename_variables,[],[6282])).
% 172.55/172.33 cnf(8677,plain,
% 172.55/172.33 (P13(f112(x86771),f2(f114(x86772,a1)),x86773)),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,8655,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,2205,5902,8434,8648,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,1916,8339,2100,8375,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,5725,6074,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,8317,6304,6593,6293,8549,3337,557,4475,1912,8389,2290,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298])).
% 172.55/172.33 cnf(8678,plain,
% 172.55/172.33 (E(f14(f114(x86781,a1),f2(f114(x86781,a1)),x86782),f2(f114(x86783,a1)))),
% 172.55/172.33 inference(rename_variables,[],[5978])).
% 172.55/172.33 cnf(8681,plain,
% 172.55/172.33 (E(f13(a110,x86811,f97(x86811,x86811,f2(f114(x86812,a1)))),x86811)),
% 172.55/172.33 inference(rename_variables,[],[5273])).
% 172.55/172.33 cnf(8683,plain,
% 172.55/172.33 (E(f13(a110,x86831,f97(x86831,x86831,f14(f114(x86832,a1),f2(f114(x86833,a1)),f2(f114(x86833,a1))))),x86831)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(8685,plain,
% 172.55/172.33 (P5(f114(x86851,a1),f2(f114(x86852,a1)),x86853)),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,8655,1996,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,8669,2205,5902,8434,8648,5273,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,2025,1916,8339,3304,2100,8375,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,6087,5725,6074,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,3897,8209,8623,8628,8637,8317,6304,6593,6293,8549,3337,557,4475,1912,8389,2290,3355,2137,6918,4452,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291])).
% 172.55/172.33 cnf(8691,plain,
% 172.55/172.33 (P12(f112(x86911),x86912,f2(f114(x86913,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,8669,2205,5902,8434,8648,5273,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,2025,1916,8339,3304,2100,8375,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,5053,4613,4634,6830,8490,6223,6087,5725,6074,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,7187,3897,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,3337,557,4475,1912,8389,2290,3355,2137,6918,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312])).
% 172.55/172.33 cnf(8692,plain,
% 172.55/172.33 (E(f14(f114(x86921,a1),f2(f114(x86921,a1)),x86922),f2(f114(x86923,a1)))),
% 172.55/172.33 inference(rename_variables,[],[5978])).
% 172.55/172.33 cnf(8693,plain,
% 172.55/172.33 (P12(f112(x86931),x86932,f14(f114(f112(x86931),a1),x86933,f5(f114(f112(x86931),a1),x86934,x86934)))),
% 172.55/172.33 inference(rename_variables,[],[8215])).
% 172.55/172.33 cnf(8698,plain,
% 172.55/172.33 (P7(x86981,x86982,f25(x86983,x86984,x86985),x86984,f14(f114(x86986,a1),f2(f114(x86981,a1)),f2(f114(x86981,a1))),f33(f33(f25(x86983,x86984,x86985),x86987),f3(a110)))),
% 172.55/172.33 inference(rename_variables,[],[2194])).
% 172.55/172.33 cnf(8700,plain,
% 172.55/172.33 (~E(f13(a109,f33(f33(f12(a109),f5(a109,x87001,x87002)),x87003),f13(a110,f13(a109,f33(f33(f12(a109),f5(a109,x87002,x87001)),x87003),x87004),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x87004)),
% 172.55/172.33 inference(rename_variables,[],[6223])).
% 172.55/172.33 cnf(8702,plain,
% 172.55/172.33 (~P6(a110,f13(a110,x87021,f16(a110,x87022,x87023)),x87023)),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,8669,2205,5902,8434,8648,5273,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,3304,2100,8375,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,6074,2194,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,409,3337,557,500,4475,749,1912,8389,2290,3355,2137,6918,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233])).
% 172.55/172.33 cnf(8706,plain,
% 172.55/172.33 (E(x87061,f13(a109,f33(f33(f12(a109),f5(a109,x87062,x87062)),x87063),x87061))),
% 172.55/172.33 inference(scs_inference,[],[8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,8669,2205,5902,8434,8648,5273,1993,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,3304,2100,8375,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,6074,2194,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,409,3337,557,500,4475,749,1912,8389,2290,3355,2137,6918,4254,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,8591,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997])).
% 172.55/172.33 cnf(8707,plain,
% 172.55/172.33 (~P6(a109,x87071,f13(a109,f33(f33(f12(a109),f5(a109,x87072,x87072)),x87073),x87071))),
% 172.55/172.33 inference(rename_variables,[],[4254])).
% 172.55/172.33 cnf(8710,plain,
% 172.55/172.33 (~P5(a109,f47(x87101,a113,a109),x87101)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,4052,5151,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,3304,2100,8375,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,6074,2194,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,382,409,3337,557,500,4475,749,1912,8389,2290,3355,2137,6918,4254,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,8591,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792])).
% 172.55/172.33 cnf(8712,plain,
% 172.55/172.33 (~P78(f33(f14(f114(x87121,a1),f14(f114(x87121,a1),f19(a109,f23(f114(a109,a1)),a113),x87122),f19(a109,f23(f114(a109,a1)),a113)),x87123))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,4872,4052,5151,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,3304,2100,8375,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,6074,2194,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,382,409,3337,557,500,4475,749,1912,8389,2290,3355,2137,6918,4254,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,8591,7718,8303,7946,7639,8173,6860,8437,4191,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124])).
% 172.55/172.33 cnf(8713,plain,
% 172.55/172.33 (P5(f114(x87131,a1),f14(f114(x87131,a1),f14(f114(x87131,a1),x87132,x87133),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x87131,a1),x87132,x87134))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(8716,plain,
% 172.55/172.33 (~P6(a111,f13(a111,f33(f33(f12(a111),x87161),x87162),f33(f33(f12(a111),f5(a111,x87163,x87161)),x87162)),f13(a111,f33(f33(f12(a111),x87163),x87162),f3(a111)))),
% 172.55/172.33 inference(rename_variables,[],[6156])).
% 172.55/172.33 cnf(8723,plain,
% 172.55/172.33 (P6(f114(x87231,a1),f22(f13(a109,f29(a110,f16(f114(x87232,a1),f23(f114(x87233,a1)),x87234)),f4(a109))),f16(f114(x87232,a1),f23(f114(x87233,a1)),x87234))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,4052,5151,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,3304,2100,8375,8522,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,6074,2194,6296,5607,6282,8405,6290,8219,7276,7942,7006,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,382,503,409,3337,557,500,4475,579,749,1912,8389,2290,6156,3355,2137,6918,4254,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,2469,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133])).
% 172.55/172.33 cnf(8724,plain,
% 172.55/172.33 (~E(f22(f13(a109,f29(a110,x87241),f4(a109))),x87241)),
% 172.55/172.33 inference(rename_variables,[],[2100])).
% 172.55/172.33 cnf(8725,plain,
% 172.55/172.33 (P5(f114(x87251,a1),x87252,f16(f114(x87253,a1),f23(f114(x87254,a1)),x87255))),
% 172.55/172.33 inference(rename_variables,[],[7864])).
% 172.55/172.33 cnf(8730,plain,
% 172.55/172.33 (~P6(a111,f13(a111,f33(f33(f12(a111),x87301),x87302),f33(f33(f12(a111),f5(a111,x87303,x87301)),x87302)),f13(a111,f33(f33(f12(a111),x87303),x87302),f3(a111)))),
% 172.55/172.33 inference(rename_variables,[],[6156])).
% 172.55/172.33 cnf(8733,plain,
% 172.55/172.33 (~E(x87331,f13(a109,f29(a110,f27(x87331)),f4(a109)))),
% 172.55/172.33 inference(rename_variables,[],[1916])).
% 172.55/172.33 cnf(8735,plain,
% 172.55/172.33 (~P6(f13(a110,f3(a110),a109),f13(f13(a110,f3(a110),a109),f4(f13(a110,f3(a110),a109)),x87351),f13(f13(a110,f3(a110),a109),f3(f13(a110,f3(a110),a109)),x87351))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,4052,5151,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3302,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,6074,2194,6296,5607,6282,8405,6290,8219,8029,7276,7942,7006,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,382,503,409,3337,557,500,4475,579,749,1912,8389,2290,6156,8716,3355,2137,6918,4254,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673])).
% 172.55/172.33 cnf(8741,plain,
% 172.55/172.33 (~P6(a109,x87411,f33(f33(f12(a109),f4(a109)),x87411))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,4052,5151,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,5788,7238,6079,6273,2301,3322,3319,3313,3303,6280,3302,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,5605,6074,2194,6296,5607,6282,8405,6290,8219,8029,7276,7942,7006,3316,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8215,8317,6304,8672,6593,6293,8549,382,503,409,3337,557,387,500,4475,579,749,397,1912,8389,2290,6156,8716,3355,2137,6918,4254,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090])).
% 172.55/172.33 cnf(8744,plain,
% 172.55/172.33 (~E(f13(a110,x87441,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x87441)),
% 172.55/172.33 inference(rename_variables,[],[5862])).
% 172.55/172.33 cnf(8745,plain,
% 172.55/172.33 (~P6(a110,x87451,f14(f114(x87452,a1),f2(a110),f23(f114(x87452,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(8749,plain,
% 172.55/172.33 (P6(a111,f13(a111,x87491,f33(f33(f12(a109),f4(a109)),x87492)),f13(a111,x87491,f13(a111,x87492,f4(a111))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,4052,5151,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,5788,7238,6079,5862,6273,2301,3322,3319,3313,3303,6280,3302,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,5605,6074,2194,6296,5607,6282,8405,6290,8219,8029,7276,7942,7006,3316,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8640,8215,8317,6304,8672,6593,6293,8549,382,503,409,3337,557,387,500,4475,389,579,749,397,1912,8389,478,2290,6156,8716,3355,2137,6918,4254,4452,7258,4495,2501,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449])).
% 172.55/172.33 cnf(8752,plain,
% 172.55/172.33 (P5(a1,x87521,f23(a1))),
% 172.55/172.33 inference(rename_variables,[],[2421])).
% 172.55/172.33 cnf(8755,plain,
% 172.55/172.33 (~P5(a109,f13(a109,x87551,f29(a110,f96(f3(a109)))),f13(a109,x87551,f3(a109)))),
% 172.55/172.33 inference(rename_variables,[],[6701])).
% 172.55/172.33 cnf(8763,plain,
% 172.55/172.33 (~P4(x87631,x87632,f19(a109,f23(f114(a109,a1)),a113))),
% 172.55/172.33 inference(rename_variables,[],[1989])).
% 172.55/172.33 cnf(8766,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a109),f4(a109)),x87661),x87661)),
% 172.55/172.33 inference(rename_variables,[],[6228])).
% 172.55/172.33 cnf(8773,plain,
% 172.55/172.33 (P5(a110,x87731,f13(a110,x87732,x87731))),
% 172.55/172.33 inference(rename_variables,[],[637])).
% 172.55/172.33 cnf(8775,plain,
% 172.55/172.33 (~P6(a111,f13(a111,f33(f33(f12(a111),f5(a111,x87751,x87752)),x87753),f33(f33(f12(a111),f5(a111,x87752,x87751)),x87753)),f3(a111))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,5788,7238,6079,5862,6273,2301,3322,3319,3313,3303,6280,3302,3278,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,6223,8341,6087,5725,6076,5605,6074,2194,6296,5607,6282,8405,6290,8219,8029,7276,7942,7006,3316,5050,7103,8337,7187,3897,8001,8209,8623,8628,8637,8640,8215,8317,6304,8672,6593,6228,8766,6293,8549,382,502,503,409,3337,557,383,603,387,500,4475,389,637,579,749,397,1912,8389,478,2290,6156,8716,8730,3355,2263,2137,6918,4254,4452,7258,4495,2501,3582,2421,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,2457,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881])).
% 172.55/172.33 cnf(8780,plain,
% 172.55/172.33 (~P5(a110,f13(a110,f27(f13(a109,f5(a109,f29(a110,x87801),f3(a109)),f29(a110,x87802))),f4(a110)),x87802)),
% 172.55/172.33 inference(rename_variables,[],[7240])).
% 172.55/172.33 cnf(8781,plain,
% 172.55/172.33 (P5(a110,x87811,f13(a110,x87811,x87812))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(8795,plain,
% 172.55/172.33 (~P6(a110,x87951,f14(f114(x87952,a1),f2(a110),f23(f114(x87952,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(8805,plain,
% 172.55/172.33 (E(f16(f114(x88051,a1),x88052,f5(f114(x88051,a1),x88053,x88052)),f13(a110,f5(a110,f16(f114(x88051,a1),x88052,x88053),f16(f114(x88051,a1),x88052,f5(f114(x88051,a1),f5(f114(x88051,a1),x88053,x88052),x88052))),f16(f114(x88051,a1),x88052,f5(f114(x88051,a1),f5(f114(x88051,a1),x88053,x88052),x88052))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,3292,5788,7238,6079,5862,6273,2301,3322,3319,3313,3307,3303,6280,3302,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6076,5605,6312,6074,2194,6296,5607,6282,8405,6290,8219,8029,7276,7942,4858,7006,3316,5050,7103,8337,7187,8106,3897,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,503,409,556,3337,557,383,467,603,387,500,501,4475,389,638,637,579,749,397,1912,8389,478,2290,6156,8716,8730,485,3355,2263,2137,6918,4254,4452,7258,4495,2501,3582,2421,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,2457,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154])).
% 172.55/172.33 cnf(8814,plain,
% 172.55/172.33 (P4(a109,f47(x88141,a113,a109),a113)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,3292,5788,7238,6079,5862,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6076,5605,6312,6074,2194,6296,5607,6282,8405,6290,8219,8029,7276,7942,4858,7006,3316,5050,7103,8337,7187,8106,3897,3286,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,503,409,556,3337,557,383,467,603,387,500,501,4475,389,638,637,579,749,397,1912,8389,478,2290,6156,8716,8730,485,3355,2263,2137,6918,4254,4452,7258,4495,2501,3582,2421,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,2457,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770])).
% 172.55/172.33 cnf(8816,plain,
% 172.55/172.33 (E(f13(a110,f33(f33(f12(a110),x88161),x88162),x88163),f13(a110,f33(f33(f12(a110),f5(a110,f13(a110,x88164,x88161),x88164)),x88162),x88163))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,3292,5788,7238,6079,5862,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6076,5605,6312,6074,2194,6296,5607,6282,8405,6290,8219,8029,7276,7942,4858,7006,3316,5050,7103,8337,7187,8106,3897,3286,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,503,409,556,3337,557,383,467,603,387,500,501,4475,389,638,8781,637,579,749,397,1912,8389,478,2290,6156,8716,8730,485,3355,2263,2137,6918,4254,4452,7258,4495,724,2501,3582,2421,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,2457,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833])).
% 172.55/172.33 cnf(8817,plain,
% 172.55/172.33 (P5(a110,x88171,f13(a110,x88171,x88172))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(8826,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),f3(f13(a110,f3(a110),a109)),f4(f13(a110,f3(a110),a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,3292,5788,7238,6079,5862,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6076,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,7276,7942,4858,7006,3316,5050,7103,8337,7187,8106,3897,3286,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,503,409,556,3337,557,383,467,603,393,387,500,501,4475,389,638,8781,637,579,749,397,1912,8389,478,2290,6156,8716,8730,485,493,3355,2263,2137,6918,4254,4452,7258,4495,724,2501,3582,2421,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,4682,4934,3719,2469,2457,7739,4580,7919,8591,7864,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957])).
% 172.55/172.33 cnf(8831,plain,
% 172.55/172.33 (P5(a109,f3(a109),f33(f33(f12(a109),x88311),x88311))),
% 172.55/172.33 inference(rename_variables,[],[2867])).
% 172.55/172.33 cnf(8843,plain,
% 172.55/172.33 (~P6(a111,x88431,f13(a111,x88431,f3(a111)))),
% 172.55/172.33 inference(rename_variables,[],[5172])).
% 172.55/172.33 cnf(8848,plain,
% 172.55/172.33 (E(f13(a110,x88481,f97(x88481,x88481,f14(f114(x88482,a1),f2(f114(x88483,a1)),f2(f114(x88483,a1))))),x88481)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(8850,plain,
% 172.55/172.33 (~P4(x88501,x88502,f5(f114(x88501,a1),x88503,x88503))),
% 172.55/172.33 inference(rename_variables,[],[4635])).
% 172.55/172.33 cnf(8858,plain,
% 172.55/172.33 (~P11(a111,f2(f114(a111,a1)),x88581,x88582)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,4635,3292,5788,7238,6079,5862,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,7276,7942,4858,7006,3316,5050,7103,8337,7187,8106,3897,3286,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,603,393,387,500,501,4475,389,638,8781,637,579,749,397,1912,8389,478,2290,5077,6156,8716,8730,485,493,2867,3355,2263,2137,6918,4254,4452,7258,4656,3763,4495,724,2501,3582,6589,2421,5858,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,5172,4682,4934,3719,2469,2457,7739,4580,8055,7919,8591,7864,8725,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785])).
% 172.55/172.33 cnf(8860,plain,
% 172.55/172.33 (~E(f33(f33(f12(a109),f4(a109)),x88601),f13(a111,x88601,f4(a111)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,4635,3292,5788,7238,6079,5862,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,7276,7942,4858,7006,3316,5050,7103,8337,7187,8106,3897,3286,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,603,393,387,500,501,4475,389,638,8781,637,579,749,397,1912,8389,478,2290,5077,6156,8716,8730,485,493,2867,3355,2263,2137,6918,4254,4452,7258,4656,3763,4495,724,2501,3582,6589,2421,5858,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,5172,4682,4934,3719,2469,2457,7739,4580,8055,7919,8591,7864,8725,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911])).
% 172.55/172.33 cnf(8863,plain,
% 172.55/172.33 (~P6(a110,f31(x88631,x88632,f16(f114(x88631,a1),x88633,x88634)),f16(f114(x88631,a1),f31(x88631,x88632,x88633),x88634))),
% 172.55/172.33 inference(rename_variables,[],[6659])).
% 172.55/172.33 cnf(8867,plain,
% 172.55/172.33 (~E(f13(a110,x88671,f2(f114(x88672,a1))),f13(a110,x88671,f31(x88672,x88673,x88674)))),
% 172.55/172.33 inference(rename_variables,[],[7927])).
% 172.55/172.33 cnf(8870,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a109),f4(a109)),x88701),x88701)),
% 172.55/172.33 inference(rename_variables,[],[6228])).
% 172.55/172.33 cnf(8871,plain,
% 172.55/172.33 (~P6(a110,x88711,f13(a110,f33(f33(f12(a110),f5(a110,x88712,x88712)),x88713),x88711))),
% 172.55/172.33 inference(rename_variables,[],[2248])).
% 172.55/172.33 cnf(8873,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),f13(a111,f2(f114(x88731,a1)),f33(f33(f12(a111),f5(a111,x88732,x88732)),x88733)),f2(f114(x88734,a1)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,4635,3292,5788,7238,6079,5862,6659,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,7276,7942,4858,7006,3316,5050,7103,8337,7187,8106,3897,3286,8230,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,603,393,387,500,501,4475,389,638,8781,637,579,749,397,1912,8389,478,2290,5077,6156,8716,8730,485,493,2867,3355,2263,2137,6918,4254,4452,7258,4656,3763,4495,724,2501,3582,6589,2421,5858,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,5172,4682,4934,2248,3719,2469,2457,7739,4580,8055,7927,7919,8591,7864,8725,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802])).
% 172.55/172.33 cnf(8875,plain,
% 172.55/172.33 (P5(f13(a110,a109,f3(a110)),f13(a111,f2(f114(x88751,a1)),f33(f33(f12(a111),f5(a111,x88752,x88752)),x88753)),f2(f114(x88754,a1)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,4635,3292,5788,7238,6079,5862,6659,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,7276,7942,4858,7006,5364,3316,5050,7103,8337,7187,8106,3897,3286,8230,8244,8001,8209,8623,8628,8637,8640,8745,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,603,393,387,500,501,4475,389,638,8781,637,579,749,397,1912,8389,478,2290,5077,6156,8716,8730,485,493,2867,3355,2263,2137,6918,4254,4452,7258,4656,3763,4495,724,2501,3582,6589,2421,5858,6959,6694,7240,8358,8440,8470,8482,7329,8530,2139,6701,8755,6771,4488,8511,4848,4256,4917,6764,8408,5142,6034,5172,4682,4934,2248,3719,2469,2457,7739,4580,8055,7927,7919,8591,7864,8725,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800])).
% 172.55/172.33 cnf(8884,plain,
% 172.55/172.33 (~P6(a110,x88841,f14(f114(x88842,a1),f2(a110),f23(f114(x88842,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(8887,plain,
% 172.55/172.33 (P5(a111,x88871,x88871)),
% 172.55/172.33 inference(rename_variables,[],[580])).
% 172.55/172.33 cnf(8895,plain,
% 172.55/172.33 (P5(a110,x88951,f13(a110,x88951,x88952))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(8914,plain,
% 172.55/172.33 (P6(a109,x89141,f13(a109,f29(a110,f27(f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),x89141))),f4(a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,7019,3493,2170,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,3304,2100,8375,8522,8724,4635,3292,5788,7238,6079,5862,6659,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,7006,5364,3316,5050,7103,8337,7187,8106,3897,3286,8230,8244,8001,8209,8623,8628,8637,8640,8745,8795,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,389,638,8781,8817,8895,637,579,749,397,1912,8389,478,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,2263,2137,6918,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,6764,8408,5142,6034,5172,4682,4934,5649,2248,3719,2469,7189,2457,7739,4580,8055,7927,7919,8591,7887,6512,7864,8725,7718,8303,7946,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671])).
% 172.55/172.33 cnf(8921,plain,
% 172.55/172.33 (P5(f114(x89211,a1),f14(f114(x89212,a1),f19(a109,f23(f114(a109,a1)),a113),x89213),x89214)),
% 172.55/172.33 inference(rename_variables,[],[8158])).
% 172.55/172.33 cnf(8925,plain,
% 172.55/172.33 (P5(a110,x89251,f13(a110,x89251,x89252))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(8928,plain,
% 172.55/172.33 (~P78(f33(f19(a109,f23(f114(a109,a1)),a113),x89281))),
% 172.55/172.33 inference(rename_variables,[],[753])).
% 172.55/172.33 cnf(8932,plain,
% 172.55/172.33 (~P6(f13(a110,f3(a110),a109),f14(f13(a110,f3(a110),a109),f16(f13(a110,f3(a110),a109),x89321,x89322),f16(f13(a110,f3(a110),a109),x89321,x89323)),x89321)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,7019,3493,2170,8158,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,8733,3304,2100,8375,8522,8724,4635,3292,5788,7238,6079,5862,8744,6659,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,3316,5050,7103,8337,7187,8106,3897,3286,8230,8244,8001,8209,8623,8628,8637,8640,8745,8795,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,389,638,8781,8817,8895,637,579,749,395,397,1912,8389,478,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,2263,2137,6918,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,6764,8408,5142,6034,5172,4682,4934,5649,2248,3719,2469,7189,2457,7739,4580,8055,7927,7919,8591,7887,6512,7864,8725,7718,8303,7946,8160,7639,8173,6860,8437,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234])).
% 172.55/172.33 cnf(8942,plain,
% 172.55/172.33 (P5(f114(x89421,a1),f14(f114(x89421,a1),f14(f114(x89421,a1),x89422,x89423),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x89421,a1),x89422,x89424))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(8943,plain,
% 172.55/172.33 (P5(f114(x89431,a1),f14(f114(x89432,a1),f19(a109,f23(f114(a109,a1)),a113),x89433),x89434)),
% 172.55/172.33 inference(rename_variables,[],[8158])).
% 172.55/172.33 cnf(8946,plain,
% 172.55/172.33 (~P5(a110,f13(a110,f33(f33(f12(a110),f5(a110,x89461,x89461)),x89462),f22(f13(a109,f29(a110,x89463),f4(a109)))),x89463)),
% 172.55/172.33 inference(rename_variables,[],[5455])).
% 172.55/172.33 cnf(8947,plain,
% 172.55/172.33 (P5(a110,x89471,f13(a110,x89471,x89472))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(8954,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x89541),f4(a109)),f4(a109)))),x89541)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(8969,plain,
% 172.55/172.33 (E(x89691,f33(f33(f12(a110),f4(a110)),f13(a110,f33(f33(f12(a110),f5(a110,x89692,x89692)),x89693),x89691)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,8733,3304,2100,8375,8522,8724,4635,3292,5788,7238,8577,6079,5862,8744,6659,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,8001,8209,8623,8628,8637,8640,8745,8795,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,389,638,8781,8817,8895,8925,637,579,749,395,397,1912,8389,478,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,489,2263,2419,2137,6918,2079,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,6764,8408,5142,6034,5172,5455,4682,4934,5649,2248,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098])).
% 172.55/172.33 cnf(8971,plain,
% 172.55/172.33 (~E(f5(a111,f33(f33(f12(a109),f4(a109)),x89711),f4(a111)),x89711)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,2025,1911,1916,8339,8353,8733,3304,2100,8375,8522,8724,4635,3292,5788,7238,8577,6079,5862,8744,6659,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,8001,8209,8623,8628,8637,8640,8745,8795,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,389,638,8781,8817,8895,8925,637,579,749,395,397,1912,8389,478,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,489,2263,2419,2137,6918,2079,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,6764,8408,5142,6034,5172,5455,4682,4934,5649,2248,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910])).
% 172.55/172.33 cnf(8974,plain,
% 172.55/172.33 (P5(f114(x89741,a1),x89742,f33(f33(f12(a109),f4(a109)),x89742))),
% 172.55/172.33 inference(rename_variables,[],[5790])).
% 172.55/172.33 cnf(8983,plain,
% 172.55/172.33 (~P5(a109,f13(a109,x89831,f47(a115,a113,a109)),f13(a109,x89831,a115))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,8378,2025,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,5788,7238,8577,6079,5862,8744,6659,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8215,8317,6304,8672,6593,7222,6228,8766,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,389,638,8781,8817,8895,8925,637,579,749,395,397,1912,8389,478,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,489,2263,2419,2137,6918,2079,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,6764,8408,5142,6034,5172,5455,4682,4934,5649,2248,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675])).
% 172.55/172.33 cnf(8989,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a109),f4(a109)),x89891),x89891)),
% 172.55/172.33 inference(rename_variables,[],[6228])).
% 172.55/172.33 cnf(8992,plain,
% 172.55/172.33 (P5(a110,x89921,f13(a110,x89921,x89922))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(9003,plain,
% 172.55/172.33 (~P6(a110,x90031,f14(f114(x90032,a1),f2(a110),f23(f114(x90032,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(9009,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x90091),f4(a109)),f4(a109)))),x90091)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(9011,plain,
% 172.55/172.33 (E(x90111,f13(a109,f5(a109,x90112,x90112),x90111))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,8378,2025,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,6079,5862,8744,6659,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,8215,8317,6304,8672,6593,7222,6228,8766,8870,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,389,638,8781,8817,8895,8925,8947,637,579,749,395,397,1912,8389,747,479,478,741,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,489,2263,2419,2137,6918,2079,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,6764,8408,5142,6034,5172,5455,8946,4682,4934,5649,2248,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039])).
% 172.55/172.33 cnf(9012,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x90121),f4(a109)),f4(a109)))),x90121)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(9018,plain,
% 172.55/172.33 (~P6(a109,f33(f33(f12(a109),f5(a109,x90181,f5(a109,x90182,x90182))),x90183),f33(f33(f12(a109),x90181),x90183))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,8378,2025,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,6079,5862,8744,6659,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,6312,6074,2194,6296,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,8215,8317,6304,8672,6593,7222,6228,8766,8870,6293,8549,382,502,386,503,409,556,3337,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,389,638,8781,8817,8895,8925,8947,637,579,749,395,397,1912,8389,747,479,478,741,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,489,2263,2419,2137,6918,2079,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,5768,6764,8408,5142,6034,5172,5455,8946,4682,4934,5649,2248,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451])).
% 172.55/172.33 cnf(9024,plain,
% 172.55/172.33 (P5(a110,x90241,f13(a110,x90241,x90242))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(9035,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x90351),x90351)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(9040,plain,
% 172.55/172.33 (P5(a110,x90401,f13(a110,x90401,x90402))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(9043,plain,
% 172.55/172.33 (P5(a109,x90431,f29(a110,f22(x90431)))),
% 172.55/172.33 inference(rename_variables,[],[606])).
% 172.55/172.33 cnf(9060,plain,
% 172.55/172.33 (~P6(a111,x90601,f13(a111,x90601,f3(a111)))),
% 172.55/172.33 inference(rename_variables,[],[5172])).
% 172.55/172.33 cnf(9080,plain,
% 172.55/172.33 (~P13(a1,f31(a1,f33(f33(f12(a109),f4(a109)),f5(a110,f13(a110,x90801,f13(a109,f13(a110,f2(a1),f3(a110)),f4(a109))),f13(a110,x90801,f3(a110)))),x90802),f2(a1))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,8378,2025,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,6079,5862,8744,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,6312,6074,2194,8698,6296,8674,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,6593,7222,6228,8766,8870,6293,8549,2581,382,594,519,502,444,386,596,503,409,556,3337,506,385,384,557,383,466,467,476,603,393,387,500,501,580,4475,606,389,425,638,8781,8817,8895,8925,8947,8992,9024,637,8773,579,431,749,395,397,1912,8389,747,479,478,741,2290,487,5077,593,6156,8716,8730,485,493,2867,3355,2361,489,2263,2419,2137,6918,2079,7350,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2165,2958,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172])).
% 172.55/172.33 cnf(9087,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x90871),f4(a111)),x90871)),
% 172.55/172.33 inference(rename_variables,[],[6282])).
% 172.55/172.33 cnf(9094,plain,
% 172.55/172.33 (P6(a111,f33(f33(f12(a109),f4(a109)),x90941),f13(a111,x90941,f4(a111)))),
% 172.55/172.33 inference(rename_variables,[],[5607])).
% 172.55/172.33 cnf(9103,plain,
% 172.55/172.33 (~P11(a109,f23(f114(a109,a1)),f14(f114(x91031,a1),f2(f114(a109,a1)),f2(f114(a109,a1))),f47(a115,a113,a109))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,6079,5862,8744,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,6312,6074,2194,8698,6296,8674,5607,6282,8405,8676,6290,8219,8029,2367,2369,7276,7942,4858,8154,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,6593,7222,6228,8766,8870,6293,8549,2581,382,594,519,502,444,386,596,503,409,556,507,3337,506,385,384,557,383,508,466,467,476,603,393,387,500,501,580,4475,606,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,637,8773,579,431,749,395,397,1912,8389,747,479,478,741,2290,487,5077,593,6156,8716,8730,485,493,2867,4557,3355,2361,489,2263,2419,2137,6918,2079,7350,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2165,2958,678,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809])).
% 172.55/172.33 cnf(9109,plain,
% 172.55/172.33 (P5(a110,x91091,f13(a110,x91091,x91092))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(9119,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x91191),x91191)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(9121,plain,
% 172.55/172.33 (P6(a110,f3(a110),f13(a110,f13(a109,f3(a110),f4(a109)),f13(a109,f3(a110),f4(a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,6079,5862,8744,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,9035,6312,6074,2194,8698,6296,8674,5607,6282,8405,8676,6290,8219,2295,8029,2367,2369,7276,7942,4858,8154,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,6293,8549,2581,382,594,519,502,444,386,596,503,409,556,507,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,387,500,501,580,4475,606,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,637,8773,579,431,749,395,397,1912,8389,747,479,478,741,2290,487,5077,593,6156,8716,8730,485,493,2867,4557,3355,641,2361,489,2263,2419,2137,6918,2079,7350,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,2139,6701,8755,6771,4488,8511,6937,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2165,2958,678,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479])).
% 172.55/172.33 cnf(9123,plain,
% 172.55/172.33 (~P6(a111,f13(a111,f5(a111,f13(a111,x91231,f4(a111)),f4(a111)),f4(a111)),f33(f33(f12(a109),f4(a109)),x91231))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,6079,5862,8744,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,9035,6312,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,6290,8219,2295,8029,2367,2369,7276,7942,4858,8154,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,6293,8549,2581,382,594,519,502,444,386,596,503,409,556,507,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,387,500,501,580,4475,606,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,637,8773,579,431,749,395,397,1912,8389,747,479,478,741,2290,487,5077,593,6156,8716,8730,485,493,2867,4557,3355,641,2361,489,2263,2419,2137,6918,2079,7350,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,5858,7247,6959,6694,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2165,2958,678,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165])).
% 172.55/172.33 cnf(9133,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x91331),f4(a109)),f4(a109)))),x91331)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(9148,plain,
% 172.55/172.33 (~P6(a109,x91481,x91481)),
% 172.55/172.33 inference(rename_variables,[],[1912])).
% 172.55/172.33 cnf(9151,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x91511),f4(a111)),x91511)),
% 172.55/172.33 inference(rename_variables,[],[6282])).
% 172.55/172.33 cnf(9154,plain,
% 172.55/172.33 (P5(a110,x91541,f13(a110,x91541,x91542))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(9158,plain,
% 172.55/172.33 (P5(a110,x91581,f13(a110,x91581,x91582))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(9159,plain,
% 172.55/172.33 (~P6(a110,f13(a110,x91591,x91592),x91591)),
% 172.55/172.33 inference(rename_variables,[],[750])).
% 172.55/172.33 cnf(9160,plain,
% 172.55/172.33 (P5(a110,x91601,f13(a110,x91602,x91601))),
% 172.55/172.33 inference(rename_variables,[],[637])).
% 172.55/172.33 cnf(9162,plain,
% 172.55/172.33 (~E(f13(a111,f4(a111),f33(f33(f12(a111),f4(a111)),f13(a111,f4(a111),f4(a111)))),f4(a111))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,6079,5862,8744,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,9035,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,2367,2369,7276,7942,4858,8154,2365,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,6293,8549,2581,382,594,519,502,527,444,386,596,503,409,556,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,580,4475,606,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,637,8773,579,431,749,4213,395,397,390,1912,8389,8506,747,479,478,741,2290,487,5077,750,593,3335,6156,8716,8730,485,493,2867,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,4452,7258,4656,3763,4495,724,670,2501,3582,6589,2421,8752,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2165,2958,678,3719,2469,7189,2457,6726,7739,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654])).
% 172.55/172.33 cnf(9172,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x91721),x91721)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(9176,plain,
% 172.55/172.33 (~P12(a111,f3(a111),f19(a111,f23(f114(a111,a1)),f2(f114(a111,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,6079,5862,8744,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,9035,9119,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,2367,2369,7276,7942,4858,8154,2365,7006,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,6293,8549,2581,382,594,519,502,527,444,386,596,503,409,556,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,580,4475,606,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,637,8773,579,431,749,4213,395,397,390,1912,8389,8506,747,479,478,741,2290,487,5077,750,593,3335,6156,8716,8730,485,493,2867,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,4452,7258,4656,3763,4495,724,670,4473,2501,3582,6589,2421,8752,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815])).
% 172.55/172.33 cnf(9182,plain,
% 172.55/172.33 (P5(a110,x91821,f13(a110,x91821,x91822))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(9190,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x91901),x91901)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(9194,plain,
% 172.55/172.33 (~P4(a109,f13(a110,f33(f33(f12(a110),f5(a110,x91941,x91941)),x91942),f47(f3(a109),f17(a109),a109)),f5(f114(a109,a1),x91943,f6(f114(a109,a1),f31(f114(a109,a1),f17(a109),x91944))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,9035,9119,9172,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,6293,8549,2266,2581,382,594,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,580,4475,606,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,639,637,8773,579,431,749,661,4213,395,397,390,1912,8389,8506,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,4452,7258,4656,3763,4495,724,670,4751,4473,2501,3582,6589,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405])).
% 172.55/172.33 cnf(9202,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a110),f13(a110,f3(a110),x92021)),f33(f33(f12(a109),f4(a109)),f3(a110))),f3(a110))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,6830,8490,7217,6223,8341,8700,6087,5725,6272,6076,5047,5605,9035,9119,9172,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,580,4475,606,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,579,431,749,661,4213,395,397,390,1912,8389,8506,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,4452,7258,4656,3763,4495,724,670,4751,4473,2501,3582,6589,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473])).
% 172.55/172.33 cnf(9206,plain,
% 172.55/172.33 (P5(a109,x92061,f29(a110,f22(x92061)))),
% 172.55/172.33 inference(rename_variables,[],[606])).
% 172.55/172.33 cnf(9220,plain,
% 172.55/172.33 (E(x92201,f13(a110,f33(f33(f12(a110),f5(a110,x92202,x92202)),x92202),f33(f33(f12(a110),f4(a110)),x92201)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3304,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,5725,6272,6076,5047,5605,9035,9119,9172,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,580,4475,606,9043,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,579,431,535,749,661,4213,395,397,390,526,1912,8389,8506,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698])).
% 172.55/172.33 cnf(9252,plain,
% 172.55/172.33 (~E(f4(f13(a110,f3(a110),a109)),f3(f13(a110,f3(a110),a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755])).
% 172.55/172.33 cnf(9254,plain,
% 172.55/172.33 (P1(f114(x92541,f13(a110,f3(a110),f112(x92542))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5050,7637,7103,8337,7187,3929,8106,3897,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758])).
% 172.55/172.33 cnf(9264,plain,
% 172.55/172.33 (P5(f13(a110,a109,f3(a110)),f3(f13(a110,a109,f3(a110))),f4(f13(a110,a109,f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849])).
% 172.55/172.33 cnf(9266,plain,
% 172.55/172.33 (~P6(f13(a110,f3(a110),a109),x92661,x92661)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898])).
% 172.55/172.33 cnf(9269,plain,
% 172.55/172.33 (P5(a109,x92691,f29(a110,f22(x92691)))),
% 172.55/172.33 inference(rename_variables,[],[606])).
% 172.55/172.33 cnf(9271,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),x92711,f16(f13(a110,f3(a110),a109),x92711,x92712))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062])).
% 172.55/172.33 cnf(9273,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),f14(f13(a110,f3(a110),a109),x92731,x92732),x92732)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064])).
% 172.55/172.33 cnf(9284,plain,
% 172.55/172.33 (P5(f114(x92841,a1),f14(f114(x92842,a1),f19(a109,f23(f114(a109,a1)),a113),x92843),x92844)),
% 172.55/172.33 inference(rename_variables,[],[8158])).
% 172.55/172.33 cnf(9288,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),x92881,f16(f13(a110,f3(a110),a109),x92882,x92881))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059])).
% 172.55/172.33 cnf(9290,plain,
% 172.55/172.33 (P5(f13(a110,a109,f3(a110)),x92901,f16(f13(a110,a109,f3(a110)),x92901,x92902))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061])).
% 172.55/172.33 cnf(9292,plain,
% 172.55/172.33 (P5(f13(a110,a109,f3(a110)),f14(f13(a110,a109,f3(a110)),x92921,x92922),x92922)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063])).
% 172.55/172.33 cnf(9298,plain,
% 172.55/172.33 (P4(x92981,f13(a111,f2(f114(x92982,a1)),f33(f33(f12(a111),f5(a111,x92983,x92983)),x92984)),f36(f2(f114(a111,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798])).
% 172.55/172.33 cnf(9299,plain,
% 172.55/172.33 (E(f13(a111,f2(f114(x92991,a1)),f33(f33(f12(a111),f5(a111,x92992,x92992)),x92993)),f2(f114(x92994,a1)))),
% 172.55/172.33 inference(rename_variables,[],[8079])).
% 172.55/172.33 cnf(9304,plain,
% 172.55/172.33 (P5(a109,x93041,f29(a110,f22(x93041)))),
% 172.55/172.33 inference(rename_variables,[],[606])).
% 172.55/172.33 cnf(9309,plain,
% 172.55/172.33 (~P6(a110,x93091,f2(a110))),
% 172.55/172.33 inference(rename_variables,[],[1918])).
% 172.55/172.33 cnf(9311,plain,
% 172.55/172.33 (P6(a109,x93111,f33(f33(f12(a109),f29(a110,f104(f4(a109),x93111))),f4(a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713])).
% 172.55/172.33 cnf(9315,plain,
% 172.55/172.33 (~P4(x93151,x93152,f13(a110,f33(f33(f12(a110),f5(a110,x93153,x93153)),x93154),f2(f114(x93151,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003])).
% 172.55/172.33 cnf(9318,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),x93181,f13(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),f5(f13(a110,f3(a110),a109),x93182,x93183)),x93184),x93185))+~P5(f13(a110,f3(a110),a109),f13(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),x93183),x93184),x93181),f13(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),x93182),x93184),x93185))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869])).
% 172.55/172.33 cnf(9320,plain,
% 172.55/172.33 (~P7(x93201,x93202,f33(f33(f12(a109),f4(a109)),f12(a110)),f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f2(f114(x93203,a1)),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278])).
% 172.55/172.33 cnf(9321,plain,
% 172.55/172.33 (~E(f33(f33(f12(a110),f3(a110)),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279])).
% 172.55/172.33 cnf(9326,plain,
% 172.55/172.33 (P14(a110,f13(a110,f3(a110),f13(a110,f33(f33(f12(a110),f5(a110,x93261,x93261)),x93262),f33(f12(a110),f3(a110)))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773])).
% 172.55/172.33 cnf(9332,plain,
% 172.55/172.33 (P5(a111,f3(a111),f33(f33(f12(a111),x93321),x93321))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3278,3271,3270,3265,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392])).
% 172.55/172.33 cnf(9344,plain,
% 172.55/172.33 (~P5(f13(a110,f3(a110),a109),f4(f13(a110,f3(a110),a109)),f3(f13(a110,f3(a110),a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5249,5050,7637,7103,8337,7187,3929,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027])).
% 172.55/172.33 cnf(9346,plain,
% 172.55/172.33 (~P6(a109,f13(a109,f5(a109,f31(x93461,x93462,f16(f114(x93461,a1),x93463,x93464)),f16(f114(x93461,a1),f31(x93461,x93462,x93463),x93464)),x93465),x93465)),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5251,5249,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355])).
% 172.55/172.33 cnf(9351,plain,
% 172.55/172.33 (P5(a111,f3(a111),f33(f33(f12(a110),f4(a111)),f4(a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5255,5251,5249,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,382,594,518,519,502,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517])).
% 172.55/172.33 cnf(9370,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x93701),f4(a111)),x93701)),
% 172.55/172.33 inference(rename_variables,[],[6282])).
% 172.55/172.33 cnf(9376,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),f13(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),f5(f13(a110,f3(a110),a109),f3(a110),f2(a110))),f5(f13(a110,f3(a110),a109),f3(a110),f2(a110))),f33(f33(f12(f13(a110,f3(a110),a109)),f5(f13(a110,f3(a110),a109),f3(a110),f2(a110))),f5(f13(a110,f3(a110),a109),f3(a110),f2(a110)))),f3(f13(a110,f3(a110),a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,1912,8389,8506,453,458,510,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766])).
% 172.55/172.33 cnf(9378,plain,
% 172.55/172.33 (~P6(a109,f4(a109),f13(a109,f33(f33(f12(a109),f4(a109)),f4(a109)),f33(f33(f12(a109),f3(a109)),f3(a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825])).
% 172.55/172.33 cnf(9400,plain,
% 172.55/172.33 (E(f31(f13(a111,f2(f114(x94001,a1)),f33(f33(f12(a111),f5(a111,x94002,x94002)),x94003)),x94004,x94005),f31(f2(f114(x94006,a1)),x94004,x94005))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41])).
% 172.55/172.33 cnf(9403,plain,
% 172.55/172.33 (E(f16(x94031,f13(a111,f2(f114(x94032,a1)),f33(f33(f12(a111),f5(a111,x94033,x94033)),x94034)),x94035),f16(x94031,f2(f114(x94036,a1)),x94035))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47])).
% 172.55/172.33 cnf(9518,plain,
% 172.55/172.33 (E(f5(x95181,x95182,f13(a111,f2(f114(x95183,a1)),f33(f33(f12(a111),f5(a111,x95184,x95184)),x95185))),f5(x95181,x95182,f2(f114(x95186,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3297,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21])).
% 172.55/172.33 cnf(9527,plain,
% 172.55/172.33 (~P5(f13(a110,a109,f3(a110)),f4(f13(a110,a109,f3(a110))),f3(f13(a110,a109,f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943])).
% 172.55/172.33 cnf(9531,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),f3(f13(a110,f3(a110),a109)),f33(f33(f12(f13(a110,f3(a110),a109)),x95311),x95311))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077])).
% 172.55/172.33 cnf(9535,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a110),f2(a110)),x95351),f33(f33(f12(a110),f2(a110)),x95352))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292])).
% 172.55/172.33 cnf(9558,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),x95581,x95581)),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790])).
% 172.55/172.33 cnf(9562,plain,
% 172.55/172.33 (P5(f13(a110,a109,f3(a110)),x95621,f16(f13(a110,a109,f3(a110)),x95622,x95621))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,3316,5261,5257,5255,5251,5249,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060])).
% 172.55/172.33 cnf(9564,plain,
% 172.55/172.33 (P5(f13(a110,a109,f3(a110)),f14(f13(a110,a109,f3(a110)),x95641,x95642),x95641)),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066])).
% 172.55/172.33 cnf(9569,plain,
% 172.55/172.33 (P5(f114(x95691,a1),f14(f114(x95691,a1),f14(f114(x95691,a1),x95692,x95693),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x95691,a1),x95692,x95694))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(9575,plain,
% 172.55/172.33 (P5(a111,f3(a111),f33(f33(f24(a111),f4(a111)),x95751))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,7019,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,8863,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066,1353,1556,1569,811,1180])).
% 172.55/172.33 cnf(9581,plain,
% 172.55/172.33 (P6(f13(a110,f3(a110),a109),f3(f13(a110,f3(a110),a109)),f13(f13(a110,f3(a110),a109),f4(f13(a110,f3(a110),a109)),f4(f13(a110,f3(a110),a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,9569,7019,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,8863,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066,1353,1556,1569,811,1180,1491,1555,1119])).
% 172.55/172.33 cnf(9594,plain,
% 172.55/172.33 (~P6(a111,f13(a111,f13(a111,f4(a111),f13(a111,f4(a111),f3(a111))),f13(a111,f4(a111),f3(a111))),f3(a111))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,9569,7019,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,8863,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,9370,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,5464,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066,1353,1556,1569,811,1180,1491,1555,1119,1618,1082,1525,1527,1659,1786])).
% 172.55/172.33 cnf(9597,plain,
% 172.55/172.33 (~P5(f114(x95971,a1),f23(f114(x95972,a1)),f33(f12(a109),f4(a109)))),
% 172.55/172.33 inference(rename_variables,[],[7019])).
% 172.55/172.33 cnf(9616,plain,
% 172.55/172.33 (E(f47(f13(a111,f2(f114(x96161,a1)),f33(f33(f12(a111),f5(a111,x96162,x96162)),x96163)),x96164,x96165),f47(f2(f114(x96166,a1)),x96164,x96165))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,9569,7019,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,6808,8378,5634,2025,2238,2207,1911,1916,8339,8353,8733,3252,3304,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,8863,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3271,3270,3265,3261,3258,5048,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,9370,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,5464,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066,1353,1556,1569,811,1180,1491,1555,1119,1618,1082,1525,1527,1659,1786,1801,4,5,9,10,13,14,18,19,23,25,26,30,37,40,46,49,50,52])).
% 172.55/172.33 cnf(9803,plain,
% 172.55/172.33 (~E(f13(a109,f29(a110,f27(x98031)),f4(a109)),x98031)),
% 172.55/172.33 inference(rename_variables,[],[2098])).
% 172.55/172.33 cnf(9858,plain,
% 172.55/172.33 (P6(f13(a110,f3(a110),a109),x98581,f13(f13(a110,f3(a110),a109),x98581,f4(f13(a110,f3(a110),a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,9569,7019,9597,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,8392,6808,8378,5634,2025,2238,2207,1911,745,1916,8339,8353,8733,3252,3304,3309,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,8863,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3277,3271,3270,3265,3261,3258,5048,2098,9803,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,2175,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,9370,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,5351,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3925,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,8091,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,432,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,5464,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,533,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066,1353,1556,1569,811,1180,1491,1555,1119,1618,1082,1525,1527,1659,1786,1801,4,5,9,10,13,14,18,19,23,25,26,30,37,40,46,49,50,52,53,54,55,56,59,60,66,67,70,72,73,75,78,79,80,81,82,87,89,91,93,96,98,99,103,105,109,110,114,116,119,120,123,124,125,128,129,131,132,135,139,144,145,146,147,149,151,154,155,156,158,160,163,164,168,169,172,173,175,177,179,182,183,186,187,190,193,198,201,202,203,205,210,211,212,213,214,216,218,220,221,222,225,227,230,233,234,235,237,238,241,242,244,246,249,251,254,257,259,260,261,265,267,268,269,271,776,778,795,803,812,818,830,836,838,857,859,861,862,950,951,1070,1135,1136,1150,1153,1164,1256,1257,1283,1285,1287,1349,1375,1386,1535,1595,1607,1647,1665,1729,1730,1755,1767,1772,1784,1794,1888,1889,772,807,914,945,948,1126,1370,1373,1378,1401,1547,1734,1554,1442,1493,1756,1128,1323,1127,1301,1115,1114,1131,1101])).
% 172.55/172.33 cnf(9860,plain,
% 172.55/172.33 (P6(f13(a110,f3(a110),a109),f3(f13(a110,f3(a110),a109)),f4(f13(a110,f3(a110),a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,9569,7019,9597,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,8392,6808,8378,5634,2025,2238,2207,1911,745,1916,8339,8353,8733,3252,3304,3309,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,8863,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3277,3271,3270,3265,3261,3258,5048,2098,9803,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,2175,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,9370,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5353,5351,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3929,7032,8106,3897,3925,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,8091,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,432,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,5464,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,533,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066,1353,1556,1569,811,1180,1491,1555,1119,1618,1082,1525,1527,1659,1786,1801,4,5,9,10,13,14,18,19,23,25,26,30,37,40,46,49,50,52,53,54,55,56,59,60,66,67,70,72,73,75,78,79,80,81,82,87,89,91,93,96,98,99,103,105,109,110,114,116,119,120,123,124,125,128,129,131,132,135,139,144,145,146,147,149,151,154,155,156,158,160,163,164,168,169,172,173,175,177,179,182,183,186,187,190,193,198,201,202,203,205,210,211,212,213,214,216,218,220,221,222,225,227,230,233,234,235,237,238,241,242,244,246,249,251,254,257,259,260,261,265,267,268,269,271,776,778,795,803,812,818,830,836,838,857,859,861,862,950,951,1070,1135,1136,1150,1153,1164,1256,1257,1283,1285,1287,1349,1375,1386,1535,1595,1607,1647,1665,1729,1730,1755,1767,1772,1784,1794,1888,1889,772,807,914,945,948,1126,1370,1373,1378,1401,1547,1734,1554,1442,1493,1756,1128,1323,1127,1301,1115,1114,1131,1101,844])).
% 172.55/172.33 cnf(9900,plain,
% 172.55/172.33 (E(f33(f33(f12(a110),f97(x99001,x99001,f2(f114(x99002,a1)))),x99003),f33(f33(f12(a110),f97(x99001,x99001,f2(f114(x99002,a1)))),x99004))),
% 172.55/172.33 inference(scs_inference,[],[753,8928,8079,8653,8658,8662,9299,5978,8655,8678,8692,1996,6308,3515,4229,6863,5731,8485,4872,1989,8763,4052,8459,6705,5151,5153,2244,8646,8650,8660,8666,8669,8683,8848,2205,8643,2242,5902,8434,8648,5273,8681,1993,4767,7622,6106,2236,4007,8656,8713,8942,9569,7019,9597,3493,2170,8158,8921,8943,9284,8282,5049,8343,8003,6878,6176,8392,6808,8378,5634,2025,2238,2207,1911,745,1916,8339,8353,8733,3252,3304,3309,3296,3284,3269,3288,2100,8375,8522,8724,4635,8850,3295,3292,7295,5938,5788,7238,8577,8954,9009,9012,9133,6079,5862,8744,2094,6659,8863,1947,2049,6273,2301,3322,3320,3319,3315,3313,3307,3303,6280,3302,3299,3297,3293,3289,3283,3278,3277,3271,3270,3265,3261,3258,5048,2098,9803,6276,2209,8449,3933,5053,4613,4634,5526,5671,6830,8490,7217,6223,8341,8700,6087,5140,6769,5725,6272,2175,6076,5047,5605,9035,9119,9172,9190,6312,6295,6074,2377,2194,8698,6296,8674,5607,9094,6282,8405,8676,9087,9151,9370,6290,8219,2295,8029,8036,2367,2369,7276,7942,4858,8154,2365,7006,4866,4926,5364,5360,5355,5353,5351,3316,5261,5257,5255,5251,5249,5241,5225,5050,7637,7103,8337,7187,3927,3929,7032,8106,3897,3925,3931,3286,8230,8244,5790,8974,8001,8209,8623,8628,8637,8640,8745,8795,8884,9003,8215,8693,8317,8091,6304,8672,8287,2096,6593,7222,6228,8766,8870,8989,6306,6293,8549,6220,2266,2581,4986,382,594,518,519,502,742,527,444,386,596,503,409,556,407,445,507,396,3337,506,385,384,557,383,508,466,467,476,394,603,391,393,424,387,500,501,398,580,8887,4475,606,9043,9206,9269,9304,541,389,425,2288,638,8781,8817,8895,8925,8947,8992,9024,9040,9109,9154,9158,9182,639,637,8773,9160,579,431,432,436,535,749,661,4213,395,731,397,390,526,578,1912,8389,8506,9148,453,458,510,2907,747,388,479,478,741,2290,487,5077,750,9159,593,3335,2917,5464,6156,8716,8730,485,493,2867,8831,4557,5267,1926,3355,641,2361,489,504,2263,2419,2002,2137,8427,6918,2079,7350,4254,8707,513,3739,4452,7258,4656,1918,9309,533,3763,4495,724,670,662,4751,608,4473,2501,3582,6589,2949,2421,8752,3325,5858,7247,6959,6694,8503,7240,8358,8440,8470,8482,8780,7329,8530,8562,2139,6701,8755,6771,4488,8511,6937,7098,6519,4848,4256,4917,5768,6764,8408,5142,6034,5172,8843,9060,4739,5455,8946,4183,4682,5955,4934,2246,5649,5876,2248,8871,2379,2355,2165,2871,2958,678,3719,2469,469,521,7189,2457,6726,7739,8146,4580,8055,7927,8867,7071,5318,7919,8591,7887,6512,7864,8725,4356,8288,7935,7804,7718,8565,7856,8303,7946,8160,7639,8173,6860,8437,6596,4191,6907,2023,2992,4413,3209,2929,3580,20,15,16,6,43,2,1358,1332,833,1002,1197,1490,889,1182,1657,985,922,993,832,1567,1425,1191,995,29,1435,1162,952,775,868,972,883,1325,1220,888,983,783,1312,8,1020,1216,1311,1047,1423,1560,896,894,1084,1107,1308,785,1326,897,900,1183,1108,933,881,1532,1137,890,990,1102,1195,1258,1655,22,934,1534,1085,1531,893,810,902,991,1019,1058,1138,1193,1533,937,1417,1324,1055,1416,901,874,1041,780,895,48,1005,892,935,1198,1561,936,1217,979,1331,1218,1161,1424,904,1422,1057,823,1189,1049,1418,1212,1592,1387,759,760,762,771,845,846,848,942,1179,1276,1277,1291,1445,1574,1817,1818,1897,1288,1289,281,347,284,290,344,355,283,292,3,293,305,310,345,349,356,339,368,306,282,288,298,311,286,297,291,304,367,287,312,357,348,272,277,1842,1233,940,997,333,1792,1124,1868,1594,1866,1133,1075,1589,1155,1673,1095,1094,1090,1000,1089,1449,1341,1871,1882,1885,1157,1243,1523,1879,1867,1881,1606,1680,1390,917,1097,1159,1345,1478,1831,1832,1841,1154,336,1337,1343,1770,1833,1238,1091,1450,957,851,1073,1231,1340,1661,1870,1335,317,1156,1230,1880,971,1785,911,1319,1843,1875,802,800,1083,1158,1267,1404,1235,1236,1590,1834,1010,1249,1339,1100,1360,1677,1671,1363,1215,1074,1558,1012,1234,1573,1250,335,1201,1362,1876,1228,1640,926,1844,1254,1334,1679,1524,1098,910,1361,334,1016,1329,1237,1675,1229,1878,1146,1864,1895,1456,939,834,1040,1039,1008,1452,1451,1865,1877,276,1639,1272,1455,1367,1242,1145,1147,1688,1263,1509,1906,1261,1001,1050,1588,1280,1433,1515,1176,1799,1112,1172,1617,1432,1457,1431,1613,1650,1896,1726,1809,1577,1402,967,1025,1434,1489,1479,1165,1430,1612,1357,1106,1174,1668,1302,1168,1571,1167,1469,1033,1782,1654,966,1470,1485,1466,1815,1616,1783,1170,1610,1166,1134,1405,1467,1486,1488,1473,1411,1753,1144,1487,1622,1303,1698,1304,1845,1642,1728,1641,968,1781,912,1421,903,1320,755,758,763,765,766,768,849,898,1043,1062,1064,1305,1306,1351,1420,1557,1757,1059,1061,1063,1065,1232,798,913,1044,1550,1575,1713,1735,1003,280,1869,278,279,1429,1685,773,1545,1544,1392,1391,1454,1453,1855,1857,1027,1355,1173,1517,1483,1706,1711,1637,1712,1634,1636,1625,1635,1290,1766,1825,1514,11,12,17,24,27,28,31,32,33,34,35,36,38,39,41,44,45,47,51,57,58,61,62,63,64,65,68,69,71,74,76,77,83,84,85,86,88,90,92,94,95,97,100,101,102,104,106,107,108,111,112,113,115,117,118,121,122,126,127,130,133,134,136,137,138,140,141,142,143,148,150,152,153,157,159,161,162,165,166,167,170,171,174,176,178,180,181,184,185,188,189,191,192,194,195,196,197,199,200,204,206,207,208,209,215,217,219,223,224,226,228,229,231,232,236,239,240,243,245,247,248,250,252,253,255,256,258,262,263,264,266,270,21,764,769,770,847,943,1006,1077,1255,1292,1764,1765,1816,1835,1892,1893,1898,761,767,790,1046,1060,1066,1353,1556,1569,811,1180,1491,1555,1119,1618,1082,1525,1527,1659,1786,1801,4,5,9,10,13,14,18,19,23,25,26,30,37,40,46,49,50,52,53,54,55,56,59,60,66,67,70,72,73,75,78,79,80,81,82,87,89,91,93,96,98,99,103,105,109,110,114,116,119,120,123,124,125,128,129,131,132,135,139,144,145,146,147,149,151,154,155,156,158,160,163,164,168,169,172,173,175,177,179,182,183,186,187,190,193,198,201,202,203,205,210,211,212,213,214,216,218,220,221,222,225,227,230,233,234,235,237,238,241,242,244,246,249,251,254,257,259,260,261,265,267,268,269,271,776,778,795,803,812,818,830,836,838,857,859,861,862,950,951,1070,1135,1136,1150,1153,1164,1256,1257,1283,1285,1287,1349,1375,1386,1535,1595,1607,1647,1665,1729,1730,1755,1767,1772,1784,1794,1888,1889,772,807,914,945,948,1126,1370,1373,1378,1401,1547,1734,1554,1442,1493,1756,1128,1323,1127,1301,1115,1114,1131,1101,844,1307,1529,779,793,797,808,813,814,819,831,835,837,855,856,858,860,863,878,879,916])).
% 172.55/172.33 cnf(10039,plain,
% 172.55/172.33 (E(f5(x100391,f13(a111,f2(f114(x100392,a1)),f33(f33(f12(a111),f5(a111,x100393,x100393)),x100394)),x100395),f5(x100391,f2(f114(x100396,a1)),x100395))),
% 172.55/172.33 inference(scs_inference,[],[8079,20])).
% 172.55/172.33 cnf(10041,plain,
% 172.55/172.33 (E(f13(x100411,f13(a111,f2(f114(x100412,a1)),f33(f33(f12(a111),f5(a111,x100413,x100413)),x100414)),x100415),f13(x100411,f2(f114(x100416,a1)),x100415))),
% 172.55/172.33 inference(scs_inference,[],[8079,20,16,15])).
% 172.55/172.33 cnf(10044,plain,
% 172.55/172.33 (E(f31(x100441,x100442,f13(a111,f2(f114(x100443,a1)),f33(f33(f12(a111),f5(a111,x100444,x100444)),x100445))),f31(x100441,x100442,f2(f114(x100446,a1))))),
% 172.55/172.33 inference(scs_inference,[],[8079,20,16,15,6,2,43])).
% 172.55/172.33 cnf(10045,plain,
% 172.55/172.33 (E(f2(f114(x100451,a1)),f14(f114(x100452,a1),f19(a109,f23(f114(a109,a1)),a113),x100453))),
% 172.55/172.33 inference(scs_inference,[],[8079,4872,20,16,15,6,2,43,833])).
% 172.55/172.33 cnf(10046,plain,
% 172.55/172.33 (~P78(f33(f14(f114(x100461,a1),f19(a109,f23(f114(a109,a1)),a113),x100462),x100463))),
% 172.55/172.33 inference(rename_variables,[],[4872])).
% 172.55/172.33 cnf(10055,plain,
% 172.55/172.33 (P5(f114(x100551,a1),f14(f114(x100552,a1),f14(f114(x100552,a1),f19(a109,f23(f114(a109,a1)),a113),x100553),f19(a109,f23(f114(a109,a1)),a113)),x100554)),
% 172.55/172.33 inference(scs_inference,[],[8079,4872,8712,8106,3337,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358])).
% 172.55/172.33 cnf(10056,plain,
% 172.55/172.33 (~P78(f33(f14(f114(x100561,a1),f14(f114(x100561,a1),f19(a109,f23(f114(a109,a1)),a113),x100562),f19(a109,f23(f114(a109,a1)),a113)),x100563))),
% 172.55/172.33 inference(rename_variables,[],[8712])).
% 172.55/172.33 cnf(10066,plain,
% 172.55/172.33 (~P4(x100661,f33(a113,a34),f31(x100661,f33(f19(a109,f23(f114(a109,a1)),a113),x100662),f2(f114(x100661,a1))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,5049,8712,6659,8106,8805,3443,3337,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567])).
% 172.55/172.33 cnf(10068,plain,
% 172.55/172.33 (P5(f114(x100681,a1),x100682,f13(a110,x100682,f97(x100682,x100682,f14(f114(x100683,a1),f2(f114(x100684,a1)),f2(f114(x100684,a1))))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,6659,8106,8805,3443,3337,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868])).
% 172.55/172.33 cnf(10073,plain,
% 172.55/172.33 (P5(f114(x100731,a1),x100732,f33(f33(f12(a109),f4(a109)),x100732))),
% 172.55/172.33 inference(rename_variables,[],[5790])).
% 172.55/172.33 cnf(10075,plain,
% 172.55/172.33 (~E(f5(a109,f3(a109),f4(a109)),f3(a109))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,6659,8106,5790,8805,3443,3337,4473,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883])).
% 172.55/172.33 cnf(10081,plain,
% 172.55/172.33 (P5(a110,x100811,f13(a110,x100812,f33(f33(f12(a110),f13(a110,x100813,x100811)),f13(a110,x100813,x100811))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,6659,8106,5790,8675,8805,3443,3337,4473,6937,5955,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311])).
% 172.55/172.33 cnf(10082,plain,
% 172.55/172.33 (P5(a110,x100821,f13(a110,x100822,f33(f33(f12(a110),x100821),x100821)))),
% 172.55/172.33 inference(rename_variables,[],[5955])).
% 172.55/172.33 cnf(10084,plain,
% 172.55/172.33 (P4(x100841,x100842,f33(f33(f12(a109),f4(a109)),f31(x100841,x100842,x100843)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,6659,8106,5790,10073,8675,8805,3443,3337,4473,6937,5955,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425])).
% 172.55/172.33 cnf(10085,plain,
% 172.55/172.33 (P5(f114(x100851,a1),x100852,f33(f33(f12(a109),f4(a109)),x100852))),
% 172.55/172.33 inference(rename_variables,[],[5790])).
% 172.55/172.33 cnf(10087,plain,
% 172.55/172.33 (E(f14(f114(x100871,a1),f14(f114(x100871,a1),f19(a109,f23(f114(a109,a1)),a113),x100872),f19(a109,f23(f114(a109,a1)),a113)),f2(f114(x100873,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,10056,6659,8106,5790,10073,8675,8805,3443,3337,4473,6937,5955,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832])).
% 172.55/172.33 cnf(10091,plain,
% 172.55/172.33 (~P6(a110,f13(a110,f16(a110,f13(a110,x100911,x100912),x100913),x100914),x100912)),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,10056,6659,8106,5790,10073,8675,8805,3443,3337,4473,6959,6937,5955,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191])).
% 172.55/172.33 cnf(10092,plain,
% 172.55/172.33 (~P6(a110,f13(a110,f16(a110,x100921,x100922),x100923),x100921)),
% 172.55/172.33 inference(rename_variables,[],[6959])).
% 172.55/172.33 cnf(10096,plain,
% 172.55/172.33 (~P6(a111,f13(a111,f5(a111,f13(a111,f13(a111,x100961,f4(a111)),f4(a111)),f4(a111)),f4(a111)),x100961)),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,10056,7942,6659,8106,5790,10073,8675,8805,3443,3337,4473,6959,6937,5955,7919,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216])).
% 172.55/172.33 cnf(10100,plain,
% 172.55/172.33 (P5(a110,x101001,f13(a110,x101001,x101002))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(10102,plain,
% 172.55/172.33 (P6(a111,x101021,f16(a111,x101022,f13(a111,x101021,f4(a111))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,4872,2244,5049,8712,10056,7942,6659,8106,5790,10073,8675,8805,3443,3337,638,4473,6959,6937,5955,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326])).
% 172.55/172.33 cnf(10108,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x101081),f4(a109)),f4(a109)))),x101081)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(10111,plain,
% 172.55/172.33 (~E(f22(f13(a109,f29(a110,x101111),f4(a109))),x101111)),
% 172.55/172.33 inference(rename_variables,[],[2100])).
% 172.55/172.33 cnf(10113,plain,
% 172.55/172.33 (~P4(x101131,f33(f14(f114(x101132,a1),f2(f114(x101132,a1)),x101133),f59(f14(f114(x101132,a1),f2(f114(x101132,a1)),x101133))),f33(f12(a109),f4(a109)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,4872,2244,5049,8712,10056,7942,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,4473,6959,6937,5955,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952])).
% 172.55/172.33 cnf(10117,plain,
% 172.55/172.33 (P5(a109,x101171,f47(x101171,a113,a109))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,4872,2244,5049,8710,8712,10056,7942,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,4473,6959,6937,5955,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933])).
% 172.55/172.33 cnf(10120,plain,
% 172.55/172.33 (~P6(a109,f29(a110,f27(f16(a109,f13(a109,x101201,f29(a110,f22(f4(a109)))),x101202))),x101201)),
% 172.55/172.33 inference(rename_variables,[],[6034])).
% 172.55/172.33 cnf(10126,plain,
% 172.55/172.33 (P5(a110,x101261,f13(a110,f13(a110,f5(a110,x101261,x101262),x101263),x101262))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,4872,2244,5049,8710,8712,10056,7942,5053,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,6937,6034,5955,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532])).
% 172.55/172.33 cnf(10127,plain,
% 172.55/172.33 (P5(a110,x101271,f13(a110,x101271,x101272))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(10129,plain,
% 172.55/172.33 (~P6(a110,f13(a111,f2(f114(x101291,a1)),f33(f33(f12(a111),f5(a111,x101292,x101292)),x101293)),f2(f114(x101294,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,4872,2244,5049,8710,8712,10056,7942,5053,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,6937,6034,5955,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888])).
% 172.55/172.33 cnf(10132,plain,
% 172.55/172.33 (~P4(x101321,x101322,f14(f114(x101323,a1),f19(a109,f23(f114(a109,a1)),a113),x101324))),
% 172.55/172.33 inference(rename_variables,[],[5731])).
% 172.55/172.33 cnf(10136,plain,
% 172.55/172.33 (P5(a110,f13(a111,f2(f114(x101361,a1)),f33(f33(f12(a111),f5(a111,x101362,x101362)),x101363)),f2(f114(x101364,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,5607,5053,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,6937,6034,5955,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783])).
% 172.55/172.33 cnf(10138,plain,
% 172.55/172.33 (~P4(x101381,x101382,f13(a111,f2(f114(x101383,a1)),f33(f33(f12(a111),f5(a111,x101384,x101384)),x101385)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,5607,5053,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,6937,6034,5955,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983])).
% 172.55/172.33 cnf(10141,plain,
% 172.55/172.33 (P5(a110,x101411,f13(a110,x101412,f33(f33(f12(a110),f13(a110,x101411,x101413)),f13(a110,x101411,x101413))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,5607,5053,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,6937,6034,5955,10082,7919,4645,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312])).
% 172.55/172.33 cnf(10142,plain,
% 172.55/172.33 (P5(a110,x101421,f13(a110,x101422,f33(f33(f12(a110),x101421),x101421)))),
% 172.55/172.33 inference(rename_variables,[],[5955])).
% 172.55/172.33 cnf(10149,plain,
% 172.55/172.33 (~P6(a110,f13(a110,f16(a110,x101491,x101492),x101493),x101491)),
% 172.55/172.33 inference(rename_variables,[],[6959])).
% 172.55/172.33 cnf(10151,plain,
% 172.55/172.33 (P5(a110,x101511,f27(f13(a109,f13(a109,f29(a110,f27(f3(a109))),f4(a109)),f29(a110,x101511))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,5607,5053,2100,7238,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,10092,6937,6034,5955,10082,7919,4645,8914,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560])).
% 172.55/172.33 cnf(10156,plain,
% 172.55/172.33 (~E(f13(a110,x101561,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(a110)),f4(a109)),f4(a109))))),x101561)),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,2049,5607,5053,2100,7238,10108,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,10092,6937,6034,5955,10082,7919,4645,8914,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890])).
% 172.55/172.33 cnf(10157,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x101571),f4(a109)),f4(a109)))),x101571)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(10160,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x101601),x101601)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10162,plain,
% 172.55/172.33 (P5(a110,x101621,f27(f13(a109,f29(a110,x101621),f4(a109))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,7238,10108,6659,8106,5790,10073,8209,8675,8805,3443,3337,638,10100,4473,6959,10092,6937,6034,5955,10082,7919,8303,4645,8914,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138])).
% 172.55/172.33 cnf(10181,plain,
% 172.55/172.33 (P6(a111,f13(a111,f2(f114(x101811,a1)),f33(f33(f12(a111),f5(a111,x101812,x101812)),x101813)),f13(a111,f2(f114(x101814,a1)),f4(a111)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,7238,10108,6659,8106,5790,10073,8209,8675,8805,7720,3443,3337,638,10100,4473,6959,10092,6937,4256,6034,5955,10082,7919,8303,4645,8914,9315,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055])).
% 172.55/172.33 cnf(10183,plain,
% 172.55/172.33 (P6(a110,f13(a110,f3(a110),x101831),f13(a110,f13(a110,f22(f13(a109,f29(a110,f3(a110)),f4(a109))),f3(a110)),x101831))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,7238,10108,6659,8106,5790,10073,8209,8675,8805,7720,3443,3337,638,10100,4473,6959,10092,6937,4256,6034,5955,10082,7919,8303,4645,8914,9315,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417])).
% 172.55/172.33 cnf(10188,plain,
% 172.55/172.33 (~P6(a110,x101881,f14(f114(x101882,a1),f2(a110),f23(f114(x101882,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(10193,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x101931),x101931)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10196,plain,
% 172.55/172.33 (E(f13(a110,x101961,f97(x101961,x101961,f2(f114(x101962,a1)))),x101961)),
% 172.55/172.33 inference(rename_variables,[],[5273])).
% 172.55/172.33 cnf(10201,plain,
% 172.55/172.33 (E(f13(a110,x102011,f97(x102011,x102011,f2(f114(x102012,a1)))),x102011)),
% 172.55/172.33 inference(rename_variables,[],[5273])).
% 172.55/172.33 cnf(10204,plain,
% 172.55/172.33 (P78(f33(f19(a111,f23(f114(a111,a1)),f2(f114(a111,a1))),x102041))),
% 172.55/172.33 inference(rename_variables,[],[4229])).
% 172.55/172.33 cnf(10207,plain,
% 172.55/172.33 (~P6(a110,x102071,f14(f114(x102072,a1),f2(a110),f23(f114(x102072,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(10212,plain,
% 172.55/172.33 (E(f13(a110,x102121,f97(x102121,x102121,f2(f114(x102122,a1)))),x102121)),
% 172.55/172.33 inference(rename_variables,[],[5273])).
% 172.55/172.33 cnf(10219,plain,
% 172.55/172.33 (~P6(a110,x102191,f13(a110,f33(f33(f12(a110),f5(a110,x102192,x102192)),x102193),x102191))),
% 172.55/172.33 inference(rename_variables,[],[2248])).
% 172.55/172.33 cnf(10225,plain,
% 172.55/172.33 (E(f33(f33(f12(a110),x102251),x102252),f33(f33(f12(a110),f5(a110,f13(a110,x102253,x102251),x102253)),x102252))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,7238,10108,6659,8106,5790,10073,8209,10188,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,6771,4488,6937,4256,6034,5955,10082,2248,7919,8303,4645,9202,8914,9315,8816,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058])).
% 172.55/172.33 cnf(10227,plain,
% 172.55/172.33 (P5(a110,f5(a110,f33(f33(f12(a109),f4(a109)),f13(a110,x102271,x102272)),x102272),x102271)),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,7238,10108,6659,8106,5790,10073,8209,10188,6228,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,6771,4488,6937,4256,6034,5955,10082,2248,7919,8303,4645,9202,8914,9315,8816,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534])).
% 172.55/172.33 cnf(10228,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a109),f4(a109)),x102281),x102281)),
% 172.55/172.33 inference(rename_variables,[],[6228])).
% 172.55/172.33 cnf(10230,plain,
% 172.55/172.33 (P5(a110,f22(f33(f33(f12(a109),f4(a109)),f29(a110,x102301))),x102301)),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,10193,7238,10108,6659,8106,5790,10073,8209,10188,6228,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,6771,4488,6937,4256,6034,5955,10082,2248,7919,8303,4645,9202,8914,9315,8816,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085])).
% 172.55/172.33 cnf(10231,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x102311),x102311)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10236,plain,
% 172.55/172.33 (P4(f114(a109,a1),f82(f23(f114(f114(a109,a1),a1)),f6(f114(f114(a109,a1),a1),f30(f114(a109,a1),f30(a109,f3(a110)))),f114(a109,a1)),f6(f114(f114(a109,a1),a1),f30(f114(a109,a1),f30(a109,f3(a110)))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,10193,7238,10108,6659,8106,5790,10073,8209,10188,5000,6228,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,5955,10082,2248,7919,8303,4645,9202,8914,9315,8816,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258])).
% 172.55/172.33 cnf(10238,plain,
% 172.55/172.33 (P5(a110,f22(f33(f33(f12(a109),f4(a109)),x102381)),f22(x102381))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,10193,10231,7238,10108,6659,8106,5790,10073,8209,10188,5000,6228,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,5955,10082,2248,7919,8303,4645,9202,8914,9315,8816,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019])).
% 172.55/172.33 cnf(10245,plain,
% 172.55/172.33 (~P6(a110,x102451,f5(a110,f14(f114(x102452,a1),f2(a110),f23(f114(x102452,a1))),x102453))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,10193,10231,7238,10108,6659,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,5955,10082,2248,7919,8303,4645,9202,8404,8914,9254,9315,8816,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533])).
% 172.55/172.33 cnf(10246,plain,
% 172.55/172.33 (~P6(a110,x102461,f14(f114(x102462,a1),f2(a110),f23(f114(x102462,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(10249,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x102491),f4(a109)),f4(a109)))),x102491)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(10258,plain,
% 172.55/172.33 (P5(a109,f13(a111,f2(f114(x102581,a1)),f33(f33(f12(a111),f5(a111,x102582,x102582)),x102583)),f2(f114(x102584,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,10193,10231,7238,10108,10157,6659,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,4183,5955,10082,2248,7919,8303,4645,9202,8702,8404,8914,9254,9315,8816,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780])).
% 172.55/172.33 cnf(10263,plain,
% 172.55/172.33 (~P5(a110,f27(f13(a109,f29(a110,f27(f13(a109,f13(a109,f29(a110,x102631),f4(a109)),f4(a109)))),f4(a109))),x102631)),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,10193,10231,7238,10108,10157,6659,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,9202,8702,8404,8914,9254,9315,8816,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331])).
% 172.55/172.33 cnf(10268,plain,
% 172.55/172.33 (P5(a111,f5(a111,f4(a111),f33(f33(f12(a111),f4(a111)),f13(a111,f4(a111),f4(a111)))),f3(a111))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,5605,10160,10193,10231,7238,10108,10157,6659,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,9202,8702,8404,8914,9254,9315,8816,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935])).
% 172.55/172.33 cnf(10273,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x102731),x102731)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10280,plain,
% 172.55/172.33 (~E(f22(f13(a109,f29(a110,x102801),f4(a109))),x102801)),
% 172.55/172.33 inference(rename_variables,[],[2100])).
% 172.55/172.33 cnf(10282,plain,
% 172.55/172.33 (P5(a110,x102821,f33(f33(f12(a110),f13(a110,x102822,f13(a110,x102823,x102821))),f13(a110,x102822,f13(a110,x102823,x102821))))),
% 172.55/172.33 inference(scs_inference,[],[8079,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,8710,8712,10056,7942,2049,5607,5053,2100,10111,5605,10160,10193,10231,7238,10108,10157,6659,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,9202,8702,8404,8914,9254,9315,8816,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658])).
% 172.55/172.33 cnf(10297,plain,
% 172.55/172.33 (P4(x102971,x102972,f7(f114(x102971,a1),f6(f114(f114(x102971,a1),a1),f2(f114(f114(f114(x102971,a1),a1),a1)))))),
% 172.55/172.33 inference(rename_variables,[],[3209])).
% 172.55/172.33 cnf(10306,plain,
% 172.55/172.33 (P6(a110,f3(a110),f13(a110,f13(a110,f3(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f13(a110,f3(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))))),
% 172.55/172.33 inference(scs_inference,[],[8079,7019,4229,6308,5731,4872,2244,3493,5273,10196,10201,2170,5049,5634,8710,8712,10056,7942,2049,5607,5053,2100,10111,5605,10160,10193,10231,7238,10108,10157,6659,6282,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,3209,9202,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139])).
% 172.55/172.33 cnf(10312,plain,
% 172.55/172.33 (~E(f13(a110,x103121,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),x103121)),
% 172.55/172.33 inference(rename_variables,[],[5862])).
% 172.55/172.33 cnf(10315,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),x103151,x103151)),
% 172.55/172.33 inference(rename_variables,[],[9558])).
% 172.55/172.33 cnf(10318,plain,
% 172.55/172.33 (E(x103181,f75(a109,f14(f114(a109,a1),x103182,f2(f114(a109,a1))),f31(a109,x103181,f2(f114(a109,a1)))))),
% 172.55/172.33 inference(rename_variables,[],[8282])).
% 172.55/172.33 cnf(10320,plain,
% 172.55/172.33 (~P5(f13(a110,a110,f97(a110,a110,f14(f114(x103201,a1),f2(f114(x103202,a1)),f2(f114(x103202,a1))))),f47(f3(a110),f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1)))),a110),f3(a110))),
% 172.55/172.33 inference(scs_inference,[],[8079,6106,7019,4229,5151,6308,5731,4872,2244,3493,8282,5273,10196,10201,2170,5049,5634,8710,8712,10056,7942,2049,5607,5053,2100,10111,5605,10160,10193,10231,7238,10108,10157,5862,6659,4634,6282,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,557,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290])).
% 172.55/172.33 cnf(10321,plain,
% 172.55/172.33 (E(f13(a110,x103211,f97(x103211,x103211,f14(f114(x103212,a1),f2(f114(x103213,a1)),f2(f114(x103213,a1))))),x103211)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(10325,plain,
% 172.55/172.33 (E(x103251,f75(a109,f14(f114(a109,a1),x103252,f2(f114(a109,a1))),f31(a109,x103251,f2(f114(a109,a1)))))),
% 172.55/172.33 inference(rename_variables,[],[8282])).
% 172.55/172.33 cnf(10327,plain,
% 172.55/172.33 (E(x103271,f75(a109,f14(f114(a109,a1),x103272,f2(f114(a109,a1))),f31(a109,x103271,f2(f114(a109,a1)))))),
% 172.55/172.33 inference(rename_variables,[],[8282])).
% 172.55/172.33 cnf(10330,plain,
% 172.55/172.33 (E(f13(a111,f2(f114(x103301,a1)),f33(f33(f12(a111),f5(a111,x103302,x103302)),x103303)),f2(f114(x103304,a1)))),
% 172.55/172.33 inference(rename_variables,[],[8079])).
% 172.55/172.33 cnf(10331,plain,
% 172.55/172.33 (~E(f13(a110,f3(a110),a109),f33(f33(f12(a109),f4(a109)),f114(a109,a1)))),
% 172.55/172.33 inference(scs_inference,[],[8079,6106,7019,4229,10204,5151,6308,5731,4872,2244,10321,3493,4358,8282,10318,10325,5273,10196,10201,10212,2170,5049,5634,8710,5437,8712,10056,7942,745,2049,5607,5053,3277,2100,10111,5605,10160,10193,10231,7238,10108,10157,5862,3316,7295,6659,6280,4613,4634,6282,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,557,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293])).
% 172.55/172.33 cnf(10332,plain,
% 172.55/172.33 (~P10(a111,f2(f114(x103321,a1)),x103322)),
% 172.55/172.33 inference(scs_inference,[],[8079,6106,7019,4229,10204,5151,6308,5731,4872,2244,10321,1993,3493,4358,8282,10318,10325,5273,10196,10201,10212,2170,5049,5634,8710,5437,8712,10056,7942,745,2049,5607,5053,3277,2100,10111,5605,10160,10193,10231,7238,10108,10157,5862,3316,7295,6659,6280,4613,4634,6282,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,557,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356])).
% 172.55/172.33 cnf(10333,plain,
% 172.55/172.33 (~E(f16(f114(f114(a109,a1),a1),x103331,f30(a109,x103332)),f14(f114(x103333,a1),f19(a109,f23(f114(a109,a1)),a113),x103334))),
% 172.55/172.33 inference(scs_inference,[],[8079,6106,7019,4229,10204,5151,6308,5731,10132,4872,2244,10321,1993,3493,4358,8282,10318,10325,5273,10196,10201,10212,2170,5049,5634,8710,5437,8712,10056,7942,745,2049,5607,5053,3277,2100,10111,5605,10160,10193,10231,7238,10108,10157,5862,3316,7295,6659,6280,4613,4634,6282,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,557,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,4183,5955,10082,2248,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283])).
% 172.55/172.33 cnf(10334,plain,
% 172.55/172.33 (~P4(x103341,x103342,f14(f114(x103343,a1),f19(a109,f23(f114(a109,a1)),a113),x103344))),
% 172.55/172.33 inference(rename_variables,[],[5731])).
% 172.55/172.33 cnf(10337,plain,
% 172.55/172.33 (~P6(a111,x103371,f13(a111,x103371,f3(a111)))),
% 172.55/172.33 inference(rename_variables,[],[5172])).
% 172.55/172.33 cnf(10339,plain,
% 172.55/172.33 (P8(x103391,x103392,x103393,f2(a110),f2(f114(x103394,a1)),f2(a110))),
% 172.55/172.33 inference(scs_inference,[],[8079,1996,6106,7019,4229,10204,5151,6308,5731,10132,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5273,10196,10201,10212,2170,5049,5634,8710,5437,8712,10056,7942,745,2049,5607,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6280,4613,4634,6282,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,557,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305])).
% 172.55/172.33 cnf(10340,plain,
% 172.55/172.33 (~P12(f13(a110,a109,f98(a109,a109,f14(f114(x103401,a1),f2(f114(x103402,a1)),f2(f114(x103402,a1))))),f47(a115,a113,a109),f5(a110,f13(a110,x103403,a113),x103403))),
% 172.55/172.33 inference(scs_inference,[],[8079,1996,6106,7019,4229,10204,5151,6308,5731,10132,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5273,10196,10201,10212,2242,2170,5049,5634,8710,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6280,4613,4634,6282,8106,5790,10073,8209,10188,10207,5000,6228,8675,8489,6492,8805,7720,3443,557,3337,638,10100,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310])).
% 172.55/172.33 cnf(10345,plain,
% 172.55/172.33 (E(x103451,f60(f31(x103452,x103451,f14(f114(x103453,a1),f19(a109,f23(f114(a109,a1)),a113),x103454))))),
% 172.55/172.33 inference(rename_variables,[],[5902])).
% 172.55/172.33 cnf(10347,plain,
% 172.55/172.33 (E(x103471,f60(f31(x103472,x103471,f14(f114(x103473,a1),f19(a109,f23(f114(a109,a1)),a113),x103474))))),
% 172.55/172.33 inference(rename_variables,[],[5902])).
% 172.55/172.33 cnf(10349,plain,
% 172.55/172.33 (E(x103491,f60(f31(x103492,x103491,f14(f114(x103493,a1),f19(a109,f23(f114(a109,a1)),a113),x103494))))),
% 172.55/172.33 inference(rename_variables,[],[5902])).
% 172.55/172.33 cnf(10351,plain,
% 172.55/172.33 (~P12(a109,f33(f33(f12(a109),f4(a109)),f47(a115,a113,a109)),f5(a110,f13(a110,x103511,a113),x103511))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,6282,8106,5790,10073,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,2035,3443,557,3337,638,10100,432,581,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311])).
% 172.55/172.33 cnf(10352,plain,
% 172.55/172.33 (~P1(f5(f114(x103521,a1),f33(f33(f12(a109),f4(a109)),a110),f2(f114(x103521,a1))))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,6282,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,2035,3443,557,3337,638,10100,432,581,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272])).
% 172.55/172.33 cnf(10354,plain,
% 172.55/172.33 (E(x103541,f60(f31(x103542,x103541,f14(f114(x103543,a1),f19(a109,f23(f114(a109,a1)),a113),x103544))))),
% 172.55/172.33 inference(rename_variables,[],[5902])).
% 172.55/172.33 cnf(10355,plain,
% 172.55/172.33 (~P7(x103551,x103552,f33(f33(f12(a109),f4(a109)),f12(a110)),f33(f33(f12(a110),f3(a110)),f33(f33(f12(a109),f4(a109)),f22(f13(a109,f29(a110,f3(a110)),f4(a109))))),f19(a109,f23(f114(a109,a1)),a113),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,6282,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,2035,6301,3443,557,3337,638,10100,432,581,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277])).
% 172.55/172.33 cnf(10356,plain,
% 172.55/172.33 (P8(x103561,x103562,x103563,f75(a109,f14(f114(a109,a1),x103564,f2(f114(a109,a1))),f31(a109,f2(a110),f2(f114(a109,a1)))),f19(a109,f23(f114(a109,a1)),a113),f2(a110))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,6282,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,2035,6301,3443,557,3337,638,10100,432,581,4473,6959,10092,10149,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304])).
% 172.55/172.33 cnf(10358,plain,
% 172.55/172.33 (P5(f114(x103581,a1),f14(f114(x103581,a1),f14(f114(x103581,a1),x103582,x103583),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x103581,a1),x103582,x103584))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(10359,plain,
% 172.55/172.33 (~E(f33(f33(f12(a109),f4(a109)),x103591),f13(a111,f5(a111,f13(a111,x103591,f4(a111)),f4(a111)),f4(a111)))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,6282,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,2035,6301,3443,557,3337,638,10100,432,5077,581,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287])).
% 172.55/172.33 cnf(10364,plain,
% 172.55/172.33 (E(f13(a110,x103641,f97(x103641,x103641,f14(f114(x103642,a1),f2(f114(x103643,a1)),f2(f114(x103643,a1))))),x103641)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(10365,plain,
% 172.55/172.33 (~P6(a109,f16(a109,x103651,x103652),x103652)),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,2035,6301,3443,557,407,3337,638,10100,432,1912,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,7071,7919,8303,4645,3209,9202,9558,7842,8702,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233])).
% 172.55/172.33 cnf(10366,plain,
% 172.55/172.33 (~P6(a109,x103661,x103661)),
% 172.55/172.33 inference(rename_variables,[],[1912])).
% 172.55/172.33 cnf(10373,plain,
% 172.55/172.33 (~E(f13(a111,f13(a111,f4(a111),x103731),x103731),f3(a111))),
% 172.55/172.33 inference(rename_variables,[],[751])).
% 172.55/172.33 cnf(10375,plain,
% 172.55/172.33 (~P13(a109,f15(a109),f29(a110,f33(f33(f12(a111),f4(a111)),f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,6310,2035,6301,3443,557,407,3337,751,638,10100,432,1912,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,2467,7071,7919,7887,8303,4645,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299])).
% 172.55/172.33 cnf(10377,plain,
% 172.55/172.33 (~P4(x103771,x103772,f16(f114(x103771,a1),f14(f114(x103773,a1),f19(a109,f23(f114(a109,a1)),a113),x103774),f14(f114(x103773,a1),f19(a109,f23(f114(a109,a1)),a113),x103774)))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,6310,2035,6301,3443,557,407,3337,751,638,10100,432,1912,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,2467,7071,7919,7887,8303,4645,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594])).
% 172.55/172.33 cnf(10383,plain,
% 172.55/172.33 (E(f13(x103831,x103832,f33(f33(f12(a111),f4(a111)),x103833)),f13(x103831,x103832,x103833))),
% 172.55/172.33 inference(rename_variables,[],[6312])).
% 172.55/172.33 cnf(10384,plain,
% 172.55/172.33 (P5(a110,x103841,f13(a110,x103841,x103842))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(10392,plain,
% 172.55/172.33 (~P5(a111,f13(a111,x103921,f4(a111)),f33(f33(f12(a109),f4(a109)),x103921))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5000,6228,6220,8675,8489,6492,8805,7720,6310,2035,6301,3443,596,557,407,3337,393,501,751,638,10100,10127,432,1912,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8303,4323,4645,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094])).
% 172.55/172.33 cnf(10396,plain,
% 172.55/172.33 (E(f3(a110),f13(a110,f33(f33(f12(a109),f4(a109)),f3(a110)),f33(f33(f12(a109),f4(a109)),f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,6492,8805,7720,6310,2035,6301,3443,596,557,407,3337,393,501,751,638,10100,10127,432,1912,587,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000])).
% 172.55/172.33 cnf(10397,plain,
% 172.55/172.33 (P5(a110,f3(a110),x103971)),
% 172.55/172.33 inference(rename_variables,[],[587])).
% 172.55/172.33 cnf(10403,plain,
% 172.55/172.33 (~P5(a110,f47(f5(a110,f3(a110),f4(a110)),f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1)))),a110),f5(a110,f3(a110),f4(a110)))),
% 172.55/172.33 inference(scs_inference,[],[8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,6336,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,6492,8805,7720,7760,6310,2035,6301,3443,596,557,407,3337,384,393,501,751,638,10100,10127,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792])).
% 172.55/172.33 cnf(10405,plain,
% 172.55/172.33 (~P5(f114(x104051,a1),f19(a111,f23(f114(a111,a1)),f2(f114(a111,a1))),f19(a109,f23(f114(a109,a1)),a113))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,6336,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,6492,8805,7720,7760,6310,2035,6301,3443,596,557,407,3337,384,393,501,751,638,10100,10127,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124])).
% 172.55/172.33 cnf(10409,plain,
% 172.55/172.33 (P6(a111,f13(a111,x104091,f33(f33(f12(a109),f4(a109)),x104092)),f13(a111,x104091,f13(a111,x104092,f4(a111))))),
% 172.55/172.33 inference(rename_variables,[],[8749])).
% 172.55/172.33 cnf(10411,plain,
% 172.55/172.33 (~P5(a109,f13(a109,f33(f33(f12(a109),x104111),x104112),f47(f13(a109,f33(f33(f12(a109),f5(a109,x104113,x104111)),x104112),x104114),a113,a109)),f13(a109,f33(f33(f12(a109),x104113),x104112),x104114))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,6336,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,596,502,557,503,407,3337,384,393,501,751,638,10100,10127,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869])).
% 172.55/172.33 cnf(10412,plain,
% 172.55/172.33 (~P5(a109,f47(x104121,a113,a109),x104121)),
% 172.55/172.33 inference(rename_variables,[],[8710])).
% 172.55/172.33 cnf(10414,plain,
% 172.55/172.33 (P5(a111,f13(a111,f33(f33(f12(a111),f5(a111,x104141,x104141)),x104142),x104143),x104143)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,6336,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,7238,10108,10157,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,596,502,557,503,407,3337,384,393,501,751,580,638,10100,10127,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871])).
% 172.55/172.33 cnf(10415,plain,
% 172.55/172.33 (P5(a111,x104151,x104151)),
% 172.55/172.33 inference(rename_variables,[],[580])).
% 172.55/172.33 cnf(10418,plain,
% 172.55/172.33 (P5(a110,x104181,f13(a110,x104182,x104181))),
% 172.55/172.33 inference(rename_variables,[],[637])).
% 172.55/172.33 cnf(10421,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a110),f5(a110,x104211,x104211)),x104212),x104213)),
% 172.55/172.33 inference(rename_variables,[],[8288])).
% 172.55/172.33 cnf(10423,plain,
% 172.55/172.33 (~E(f13(f13(a110,f3(a110),a109),x104231,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(f13(a110,f3(a110),a109))),f4(a109)),f4(a109))))),x104231)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,6336,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,5053,3277,2100,10111,5605,10160,10193,10231,2044,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,596,502,557,503,407,3337,384,393,501,751,580,638,10100,10127,637,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8288,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917])).
% 172.55/172.33 cnf(10424,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x104241),f4(a109)),f4(a109)))),x104241)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(10427,plain,
% 172.55/172.33 (~P4(x104271,x104272,f14(f114(x104273,a1),f19(a109,f23(f114(a109,a1)),a113),x104274))),
% 172.55/172.33 inference(rename_variables,[],[5731])).
% 172.55/172.33 cnf(10429,plain,
% 172.55/172.33 (P5(a109,x104291,f29(a110,f22(f16(a109,x104291,x104292))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,6336,2170,5049,6820,5634,8710,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3277,2100,10111,5605,10160,10193,10231,2044,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,4613,4634,5671,3274,6282,6312,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,596,502,557,503,407,3337,384,393,501,751,580,606,638,10100,10127,637,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8288,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345])).
% 172.55/172.33 cnf(10430,plain,
% 172.55/172.33 (P5(a109,x104301,f29(a110,f22(x104301)))),
% 172.55/172.33 inference(rename_variables,[],[606])).
% 172.55/172.33 cnf(10433,plain,
% 172.55/172.33 (~P5(a109,f47(x104331,a113,a109),x104331)),
% 172.55/172.33 inference(rename_variables,[],[8710])).
% 172.55/172.33 cnf(10435,plain,
% 172.55/172.33 (E(f13(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),f5(f13(a110,f3(a110),a109),x104351,x104351)),x104352),f33(f33(f12(a111),f4(a111)),x104353)),x104353)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,6336,2170,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3277,2100,10111,5605,10160,10193,10231,2044,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,5671,3274,6282,6312,10383,6295,8106,5790,10073,8001,8209,10188,10207,5364,5000,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,596,502,557,503,407,3337,384,466,393,501,751,580,606,638,10100,10127,637,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8288,8303,4323,4645,7062,3209,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832])).
% 172.55/172.33 cnf(10436,plain,
% 172.55/172.33 (E(f13(x104361,x104362,f33(f33(f12(a111),f4(a111)),x104363)),f13(x104361,x104362,x104363))),
% 172.55/172.33 inference(rename_variables,[],[6312])).
% 172.55/172.33 cnf(10442,plain,
% 172.55/172.33 (~P6(a110,x104421,f14(f114(x104422,a1),f2(a110),f23(f114(x104422,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(10445,plain,
% 172.55/172.33 (E(f13(a110,x104451,f97(x104451,x104451,f14(f114(x104452,a1),f2(f114(x104453,a1)),f2(f114(x104453,a1))))),x104451)),
% 172.55/172.33 inference(rename_variables,[],[2244])).
% 172.55/172.33 cnf(10448,plain,
% 172.55/172.33 (P6(a109,x104481,f29(a110,f27(f33(f33(f12(a109),f4(a109)),f13(a109,x104481,f4(a109))))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,10364,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3277,2100,10111,5605,10160,10193,10231,2044,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,5671,3274,6282,6312,10383,6295,3301,8106,5790,10073,8001,8209,10188,10207,10246,5364,5000,7222,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,596,502,557,503,407,3337,384,476,466,393,501,500,751,580,606,638,10100,10127,637,432,390,1912,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8288,8303,4323,4645,7062,3209,6804,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673])).
% 172.55/172.33 cnf(10451,plain,
% 172.55/172.33 (~P6(a109,x104511,f14(a109,x104511,x104512))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,4007,6863,4872,2244,10321,10364,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3277,2100,10111,5605,10160,10193,10231,2044,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,5671,3274,6282,6312,10383,6295,3301,8106,5790,10073,8001,8209,10188,10207,10246,5364,5000,7222,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,596,502,557,503,407,3337,384,476,466,411,393,501,500,751,580,606,638,10100,10127,637,432,390,1912,10366,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8288,8303,4323,4645,7062,3209,6804,9202,9594,9558,7842,8702,4146,8404,8914,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238])).
% 172.55/172.33 cnf(10452,plain,
% 172.55/172.33 (~P6(a109,x104521,x104521)),
% 172.55/172.33 inference(rename_variables,[],[1912])).
% 172.55/172.33 cnf(10455,plain,
% 172.55/172.33 (P5(f114(x104551,a1),f14(f114(x104552,a1),f19(a109,f23(f114(a109,a1)),a113),x104553),x104554)),
% 172.55/172.33 inference(rename_variables,[],[8158])).
% 172.55/172.33 cnf(10459,plain,
% 172.55/172.33 (E(f13(x104591,x104592,f16(f114(x104593,a1),x104594,f5(f114(x104593,a1),x104595,x104594))),f13(x104591,x104592,f16(f114(x104593,a1),x104594,x104595)))),
% 172.55/172.33 inference(rename_variables,[],[8230])).
% 172.55/172.33 cnf(10470,plain,
% 172.55/172.33 (P5(a111,x104701,x104701)),
% 172.55/172.33 inference(rename_variables,[],[580])).
% 172.55/172.33 cnf(10479,plain,
% 172.55/172.33 (P5(f112(x104791),f6(f112(x104791),f19(a109,f23(f114(a109,a1)),a113)),x104792)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4007,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,2100,10111,5605,10160,10193,10231,2044,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,6295,4986,3301,3257,8106,8230,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,384,476,466,411,393,392,501,500,751,580,10415,606,579,638,10100,10127,637,432,390,1912,10366,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231])).
% 172.55/172.33 cnf(10480,plain,
% 172.55/172.33 (~P4(x104801,x104802,f19(a109,f23(f114(a109,a1)),a113))),
% 172.55/172.33 inference(rename_variables,[],[1989])).
% 172.55/172.33 cnf(10483,plain,
% 172.55/172.33 (~P6(f114(x104831,a1),f33(f33(f12(a109),f4(a109)),x104832),x104832)),
% 172.55/172.33 inference(rename_variables,[],[5788])).
% 172.55/172.33 cnf(10488,plain,
% 172.55/172.33 (~P10(f13(a110,f3(a110),a109),f19(a109,f23(f114(a109,a1)),a113),x104881)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4007,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,5605,10160,10193,10231,2044,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,6295,4986,3301,3257,8106,8230,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,384,476,466,411,393,392,501,500,751,580,10415,606,579,638,10100,10127,637,432,390,1912,10366,587,478,5077,581,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971])).
% 172.55/172.33 cnf(10496,plain,
% 172.55/172.33 (~P4(x104961,x104962,f5(f114(x104961,a1),x104963,x104963))),
% 172.55/172.33 inference(rename_variables,[],[4635])).
% 172.55/172.33 cnf(10499,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a109),f4(a109)),x104991),x104991)),
% 172.55/172.33 inference(rename_variables,[],[6228])).
% 172.55/172.33 cnf(10507,plain,
% 172.55/172.33 (P13(a109,f16(f114(a109,a1),f6(f114(a109,a1),f2(f114(f114(a109,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)),x105071)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,5605,10160,10193,10231,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,6295,4986,3301,3257,8106,8230,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,384,476,466,411,393,392,501,500,751,580,10415,606,579,638,10100,10127,637,432,390,1912,10366,587,478,5077,581,1926,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158])).
% 172.55/172.33 cnf(10509,plain,
% 172.55/172.33 (E(f13(a110,f33(f33(f12(a110),f5(a110,x105091,x105091)),x105092),f33(f33(f12(a111),f4(a111)),x105093)),x105093)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,5605,10160,10193,10231,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,384,476,466,411,393,392,501,500,751,580,10415,606,579,638,10100,10127,637,432,390,1912,10366,587,478,5077,581,1926,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834])).
% 172.55/172.33 cnf(10513,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x105131),x105131)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10517,plain,
% 172.55/172.33 (P5(a109,x105171,f29(a110,f22(f16(a109,x105172,x105171))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,5605,10160,10193,10231,10273,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,384,476,466,411,393,392,501,500,751,580,10415,606,10430,579,638,10100,10127,637,432,390,1912,10366,587,478,5077,581,1926,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343])).
% 172.55/172.33 cnf(10522,plain,
% 172.55/172.33 (P4(a109,f47(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f33(f33(f12(a109),f5(a109,x105221,x105221)),x105222),f4(a109))),f13(a110,f23(f114(a109,a1)),f3(a110)),a109),f13(a110,f23(f114(a109,a1)),f3(a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,5605,10160,10193,10231,10273,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,384,476,466,411,393,392,501,500,751,580,10415,606,10430,579,638,10100,10127,637,432,390,1912,10366,587,478,5077,581,1926,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770])).
% 172.55/172.33 cnf(10529,plain,
% 172.55/172.33 (~E(f5(a110,f22(f13(a109,f29(a110,f13(a110,x105291,f3(a110))),f4(a109))),f3(a110)),x105291)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,10280,5605,10160,10193,10231,10273,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,384,476,466,411,393,392,477,501,500,751,580,10415,606,10430,579,638,10100,10127,637,432,390,1912,10366,587,10397,478,5077,581,1926,641,4473,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154])).
% 172.55/172.33 cnf(10530,plain,
% 172.55/172.33 (~E(f22(f13(a109,f29(a110,x105301),f4(a109))),x105301)),
% 172.55/172.33 inference(rename_variables,[],[2100])).
% 172.55/172.33 cnf(10531,plain,
% 172.55/172.33 (P5(a110,f3(a110),x105311)),
% 172.55/172.33 inference(rename_variables,[],[587])).
% 172.55/172.33 cnf(10538,plain,
% 172.55/172.33 (P5(f114(x105381,a1),f14(f114(x105381,a1),f14(f114(x105381,a1),x105382,x105383),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x105381,a1),x105382,x105384))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(10539,plain,
% 172.55/172.33 (P5(f114(x105391,a1),f14(f114(x105392,a1),f19(a109,f23(f114(a109,a1)),a113),x105393),x105394)),
% 172.55/172.33 inference(rename_variables,[],[8158])).
% 172.55/172.33 cnf(10544,plain,
% 172.55/172.33 (~P6(a110,f13(a110,x105441,f16(a110,x105442,x105443)),x105442)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,10358,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,10280,10530,5605,10160,10193,10231,10273,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,6492,8805,7720,7760,6310,2035,6301,3443,382,596,502,557,503,407,3337,409,384,476,466,411,393,392,477,501,500,751,580,10415,606,10430,579,638,10100,10127,637,432,749,390,1912,10366,587,10397,478,5077,581,1926,641,4473,3582,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234])).
% 172.55/172.33 cnf(10545,plain,
% 172.55/172.33 (~P6(a110,f13(a110,x105451,x105452),x105452)),
% 172.55/172.33 inference(rename_variables,[],[749])).
% 172.55/172.33 cnf(10550,plain,
% 172.55/172.33 (P5(a109,f3(a109),f29(a110,x105501))),
% 172.55/172.33 inference(rename_variables,[],[603])).
% 172.55/172.33 cnf(10553,plain,
% 172.55/172.33 (P11(f112(x105531),f31(f112(x105531),f6(f112(x105531),f2(f114(f112(x105531),a1))),x105532),f19(a109,f23(f114(a109,a1)),a113),f6(f112(x105531),f2(f114(f112(x105531),a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,10358,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,10280,10530,5605,10160,10193,10231,10273,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,8338,6492,8805,7720,7760,6310,2035,6301,3443,382,603,596,502,557,503,407,3337,409,384,476,466,411,393,392,477,501,500,751,580,10415,606,10430,579,638,10100,10127,637,432,749,390,1912,10366,587,10397,478,5077,581,1926,641,4473,3582,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335])).
% 172.55/172.33 cnf(10556,plain,
% 172.55/172.33 (P46(f60(f31(x105561,f13(a110,f3(a110),a109),f14(f114(x105562,a1),f19(a109,f23(f114(a109,a1)),a113),x105563))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,10358,6863,4872,2244,10321,10364,1989,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,5634,8710,10412,8858,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,10280,10530,5605,10160,10193,10231,10273,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6220,8875,8675,8489,7557,6538,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,596,502,557,503,407,3337,409,384,476,466,411,393,392,477,501,500,751,580,10415,606,10430,579,638,10100,10127,637,432,749,390,1912,10366,587,10397,478,5077,581,1926,641,4473,3582,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308])).
% 172.55/172.33 cnf(10560,plain,
% 172.55/172.33 (P5(f114(x105601,a1),f14(f114(x105601,a1),f14(f114(x105601,a1),x105602,x105603),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x105601,a1),x105602,x105604))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(10563,plain,
% 172.55/172.33 (P5(a110,x105631,f13(a110,x105632,x105631))),
% 172.55/172.33 inference(rename_variables,[],[637])).
% 172.55/172.33 cnf(10570,plain,
% 172.55/172.33 (~P6(a110,f13(a110,x105701,x105702),x105702)),
% 172.55/172.33 inference(rename_variables,[],[749])).
% 172.55/172.33 cnf(10572,plain,
% 172.55/172.33 (~E(f47(x105721,a113,a109),x105721)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,10358,10538,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,5634,8710,10412,10433,8858,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,2100,10111,10280,10530,5605,10160,10193,10231,10273,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6220,5265,8875,8675,8489,7557,6538,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,596,502,557,503,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,580,10415,606,10430,579,638,10100,10127,637,10418,432,749,10545,390,1912,10366,587,10397,478,5077,581,1926,641,4473,3582,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,4323,4645,7062,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802])).
% 172.55/172.33 cnf(10575,plain,
% 172.55/172.33 (P5(a110,x105751,f13(a110,x105751,x105752))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(10579,plain,
% 172.55/172.33 (P5(f114(x105791,a1),f14(f114(x105791,a1),f14(f114(x105791,a1),x105792,x105793),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x105791,a1),x105792,x105794))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(10580,plain,
% 172.55/172.33 (~P4(x105801,x105802,f14(f114(x105803,a1),f19(a109,f23(f114(a109,a1)),a113),x105804))),
% 172.55/172.33 inference(rename_variables,[],[5731])).
% 172.55/172.33 cnf(10587,plain,
% 172.55/172.33 (E(x105871,f13(a110,f33(f33(f12(a110),f5(a110,x105872,x105872)),x105872),f33(f33(f12(a110),f4(a110)),x105871)))),
% 172.55/172.33 inference(rename_variables,[],[9220])).
% 172.55/172.33 cnf(10595,plain,
% 172.55/172.33 (~P5(a109,f47(x105951,a113,a109),x105951)),
% 172.55/172.33 inference(rename_variables,[],[8710])).
% 172.55/172.33 cnf(10598,plain,
% 172.55/172.33 (~P5(a109,f47(x105981,a113,a109),x105981)),
% 172.55/172.33 inference(rename_variables,[],[8710])).
% 172.55/172.33 cnf(10601,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x106011),x106011)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10604,plain,
% 172.55/172.33 (E(f13(a111,f2(f114(x106041,a1)),f33(f33(f12(a111),f5(a111,x106042,x106042)),x106043)),f2(f114(x106044,a1)))),
% 172.55/172.33 inference(rename_variables,[],[8079])).
% 172.55/172.33 cnf(10608,plain,
% 172.55/172.33 (P5(f114(x106081,a1),f14(f114(x106081,a1),f14(f114(x106081,a1),x106082,x106083),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x106081,a1),x106082,x106084))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(10611,plain,
% 172.55/172.33 (P5(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x106111),f4(a111)),x106111)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,10358,10538,10560,10579,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6593,6220,5265,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,587,10397,478,5077,581,1926,641,4473,737,3582,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,590,4261,2467,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010])).
% 172.55/172.33 cnf(10620,plain,
% 172.55/172.33 (P6(f114(a109,a1),f14(f114(a109,a1),f14(f114(a109,a1),f31(a109,x106201,f2(f114(a109,a1))),x106202),f19(a109,f23(f114(a109,a1)),a113)),f31(a109,x106201,f2(f114(a109,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,4052,4007,10358,10538,10560,10579,10608,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6593,6220,5265,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,587,10397,478,5077,593,581,1926,641,4473,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360])).
% 172.55/172.33 cnf(10621,plain,
% 172.55/172.33 (P5(f114(x106211,a1),f14(f114(x106211,a1),f14(f114(x106211,a1),x106212,x106213),f19(a109,f23(f114(a109,a1)),a113)),f14(f114(x106211,a1),x106212,x106214))),
% 172.55/172.33 inference(rename_variables,[],[4007])).
% 172.55/172.33 cnf(10633,plain,
% 172.55/172.33 (~P5(f114(a109,a1),f31(a109,f2(f114(f114(x106331,a1),a1)),f2(f114(a109,a1))),f31(a109,f30(x106331,x106332),f50(f31(a109,f2(f114(f114(x106331,a1),a1)),f2(f114(a109,a1))),f30(a109,f3(a110)),f114(a109,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6593,6220,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,587,10397,478,5077,593,581,4557,1926,641,4473,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573])).
% 172.55/172.33 cnf(10635,plain,
% 172.55/172.33 (~P4(x106351,f30(x106352,x106353),f31(x106351,f2(f114(f114(x106352,a1),a1)),f2(f114(x106351,a1))))),
% 172.55/172.33 inference(rename_variables,[],[4557])).
% 172.55/172.33 cnf(10638,plain,
% 172.55/172.33 (~P4(x106381,f30(x106382,x106383),f31(x106381,f2(f114(f114(x106382,a1),a1)),f2(f114(x106381,a1))))),
% 172.55/172.33 inference(rename_variables,[],[4557])).
% 172.55/172.33 cnf(10641,plain,
% 172.55/172.33 (~P5(a110,f22(f13(a109,f29(a110,f2(a110)),f4(a109))),f14(f114(x106411,a1),f23(f114(x106411,a1)),f2(a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6593,6220,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,587,10397,478,5077,593,581,4557,10635,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146])).
% 172.55/172.33 cnf(10648,plain,
% 172.55/172.33 (~P5(f112(x106481),f23(f112(x106481)),f39(f23(f114(f112(x106481),a1)),f23(f112(x106481)),f112(x106481)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,4986,3301,3257,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6593,6220,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334])).
% 172.55/172.33 cnf(10653,plain,
% 172.55/172.33 (~P6(f13(a110,f3(a110),a109),f14(f114(x106531,a1),f2(f114(x106531,a1)),f2(f114(x106531,a1))),f2(f114(x106532,a1)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,4986,3301,3257,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,6581,5364,4630,5000,7222,6228,10228,6593,6220,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910])).
% 172.55/172.33 cnf(10654,plain,
% 172.55/172.33 (E(f14(f114(x106541,a1),f2(f114(x106541,a1)),x106542),f2(f114(x106543,a1)))),
% 172.55/172.33 inference(rename_variables,[],[5978])).
% 172.55/172.33 cnf(10663,plain,
% 172.55/172.33 (~P6(a110,x106631,f14(f114(x106632,a1),f2(a110),f23(f114(x106632,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(10665,plain,
% 172.55/172.33 (~E(f13(f13(a110,a109,f3(a110)),x106651,f33(a113,a34)),f13(f13(a110,a109,f3(a110)),x106651,f33(f19(a109,f23(f114(a109,a1)),a113),x106652)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,4986,3301,3257,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,5000,7222,6228,10228,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098])).
% 172.55/172.33 cnf(10667,plain,
% 172.55/172.33 (P5(f114(a109,a1),f14(f114(a109,a1),f14(f114(a109,a1),f31(a109,f2(f114(f114(x106671,a1),a1)),f2(f114(a109,a1))),x106672),f19(a109,f23(f114(a109,a1)),a113)),f31(a109,f2(f114(f114(x106671,a1),a1)),f2(f114(a109,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,4986,3301,3257,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,5000,7222,6228,10228,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142])).
% 172.55/172.33 cnf(10669,plain,
% 172.55/172.33 (P5(f112(x106691),x106692,f7(f112(x106691),f5(f114(f112(x106691),a1),x106693,x106693)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,2301,6280,3271,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,4986,3301,3257,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,5000,7222,6228,10228,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229])).
% 172.55/172.33 cnf(10674,plain,
% 172.55/172.33 (~E(f5(a110,f13(a109,f13(a110,x106741,f3(a110)),f4(a109)),f3(a110)),x106741)),
% 172.55/172.33 inference(rename_variables,[],[2209])).
% 172.55/172.33 cnf(10676,plain,
% 172.55/172.33 (P48(f60(f31(x106761,f13(a110,f3(a110),a109),f14(f114(x106762,a1),f19(a109,f23(f114(a109,a1)),a113),x106763))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3320,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,1947,2301,6280,3271,2209,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,4986,3301,3257,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,5000,7222,6228,10228,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285])).
% 172.55/172.33 cnf(10686,plain,
% 172.55/172.33 (P30(f60(f31(x106861,f13(a110,f3(a110),a109),f14(f114(x106862,a1),f19(a109,f23(f114(a109,a1)),a113),x106863))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3265,3296,3320,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,7238,10108,10157,10249,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,2209,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3280,3279,3257,3254,3253,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,5000,7222,6228,10228,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372])).
% 172.55/172.33 cnf(10688,plain,
% 172.55/172.33 (~E(f31(x106881,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f33(a113,a34)),f4(a109)),f4(a109)))),f31(x106881,f33(f19(a109,f23(f114(a109,a1)),a113),x106882),f2(f114(x106881,a1)))),f31(x106881,x106883,f31(x106881,f33(a113,a34),f2(f114(x106881,a1)))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3265,3296,3320,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,2209,4613,4634,3311,5671,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3280,3279,3257,3254,3253,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,5000,7222,6228,10228,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2248,4119,590,4261,2467,5080,7071,7919,7887,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811])).
% 172.55/172.33 cnf(10689,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x106891),f4(a109)),f4(a109)))),x106891)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(10693,plain,
% 172.55/172.33 (P4(x106931,x106932,f16(f114(x106931,a1),f31(x106931,x106932,x106933),x106934))),
% 172.55/172.33 inference(rename_variables,[],[5876])).
% 172.55/172.33 cnf(10696,plain,
% 172.55/172.33 (~P6(a109,x106961,f33(f33(f12(a109),f4(a109)),x106961))),
% 172.55/172.33 inference(rename_variables,[],[8741])).
% 172.55/172.33 cnf(10703,plain,
% 172.55/172.33 (~E(f5(a110,f13(a109,f13(a110,x107031,f3(a110)),f4(a109)),f3(a110)),x107031)),
% 172.55/172.33 inference(rename_variables,[],[2209])).
% 172.55/172.33 cnf(10708,plain,
% 172.55/172.33 (~P6(a110,f13(a110,f33(f33(f12(a110),f5(a110,x107081,x107081)),x107082),f13(a110,f13(a110,f33(f33(f12(a110),x107081),x107082),x107083),x107084)),x107083)),
% 172.55/172.33 inference(rename_variables,[],[2246])).
% 172.55/172.33 cnf(10709,plain,
% 172.55/172.33 (P5(a110,f33(f33(f12(a109),f4(a109)),x107091),x107091)),
% 172.55/172.33 inference(rename_variables,[],[6228])).
% 172.55/172.33 cnf(10712,plain,
% 172.55/172.33 (P2(f60(f31(x107121,f13(a110,f3(a110),a109),f14(f114(x107122,a1),f19(a109,f23(f114(a109,a1)),a113),x107123))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3265,3296,3320,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,3261,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3280,3279,3257,3254,3253,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273])).
% 172.55/172.33 cnf(10715,plain,
% 172.55/172.33 (P49(f60(f31(x107151,f13(a110,f3(a110),a109),f14(f114(x107152,a1),f19(a109,f23(f114(a109,a1)),a113),x107153))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3307,2049,5607,3304,3322,5053,3315,3265,3319,3296,3320,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,3261,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3280,3279,3257,3254,3253,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296])).
% 172.55/172.33 cnf(10722,plain,
% 172.55/172.33 (P36(f33(f33(f12(a109),f4(a109)),f13(a110,a109,f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3304,3322,5053,3315,3265,3319,3296,3320,3299,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,5239,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,3261,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3298,3280,3279,3257,3254,3253,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325])).
% 172.55/172.33 cnf(10731,plain,
% 172.55/172.33 (P35(f33(f33(f12(a109),f4(a109)),f13(a110,a109,f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,5053,3315,3265,3319,3296,3320,3299,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,5239,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,3261,5204,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3298,3280,3279,3272,3263,3262,3257,3254,3253,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,1926,641,4473,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369])).
% 172.55/172.33 cnf(10737,plain,
% 172.55/172.33 (~P5(a109,f29(a110,f27(f16(a109,f13(a109,x107371,f4(a109)),x107372))),x107371)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,8858,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,3252,5053,3315,3265,3319,3296,3320,3299,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,5239,3247,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,3261,5204,3248,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3298,3280,3279,3272,3263,3262,3257,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,393,392,477,501,500,751,387,580,10415,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,1926,641,4473,2137,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2131,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455])).
% 172.55/172.33 cnf(10742,plain,
% 172.55/172.33 (~P6(a109,f29(a110,f27(f13(a109,x107421,f4(a109)))),x107421)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,3252,5053,3315,3265,3319,3296,3320,3299,3283,3277,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,5239,3247,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,3261,5204,3248,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3301,3298,3280,3279,3272,3263,3262,3257,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,424,393,392,477,501,500,751,387,580,10415,491,606,10430,579,397,536,638,10100,10127,10384,637,10418,10563,432,749,10545,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,1926,641,4473,2137,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452])).
% 172.55/172.33 cnf(10747,plain,
% 172.55/172.33 (P5(a110,x107471,x107471)),
% 172.55/172.33 inference(rename_variables,[],[579])).
% 172.55/172.33 cnf(10772,plain,
% 172.55/172.33 (P78(f33(f30(a109,x107721),f78(f19(a109,f23(f114(a109,a1)),a113),f30(a109,x107721),f19(a109,f23(f114(a109,a1)),a113),f114(a109,a1))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,3337,409,383,384,476,466,394,411,424,393,392,477,501,500,751,387,580,10415,491,606,10430,579,397,2917,536,638,10100,10127,10384,637,10418,10563,432,2907,749,10545,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,1926,641,4473,2137,2079,737,3582,7247,6959,10092,10149,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,2251,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,8370,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758])).
% 172.55/172.33 cnf(10779,plain,
% 172.55/172.33 (P5(a109,f3(a109),f29(a110,x107791))),
% 172.55/172.33 inference(rename_variables,[],[603])).
% 172.55/172.33 cnf(10786,plain,
% 172.55/172.33 (P6(a110,x107861,f22(f13(a109,f29(a110,f13(a110,f3(a110),f33(f33(f12(a109),f4(a109)),x107861))),f4(a109))))),
% 172.55/172.33 inference(rename_variables,[],[6293])).
% 172.55/172.33 cnf(10789,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x107891),x107891)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10800,plain,
% 172.55/172.33 (~P5(a110,f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f52(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),a110)),f33(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),f37(f33(f12(a110),f22(f13(a109,f29(a110,f3(a110)),f4(a109)))),a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,6293,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,3274,2194,6282,6312,10383,10436,6295,6290,4986,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,603,10550,596,502,557,503,556,407,396,3337,409,383,384,476,466,467,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,397,2917,536,638,10100,10127,10384,637,10418,10563,432,2907,749,10545,479,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,1926,641,4473,2137,2079,662,737,3582,7247,6959,10092,10149,6889,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,10708,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,2251,3209,6804,5712,3000,9202,9080,9594,9558,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436])).
% 172.55/172.33 cnf(10809,plain,
% 172.55/172.33 (P4(x108091,x108092,f31(x108091,f33(f33(f12(a109),f4(a109)),x108092),x108093))),
% 172.55/172.33 inference(rename_variables,[],[6296])).
% 172.55/172.33 cnf(10814,plain,
% 172.55/172.33 (P4(x108141,x108142,f31(x108141,f33(f33(f12(a109),f4(a109)),x108142),x108143))),
% 172.55/172.33 inference(rename_variables,[],[6296])).
% 172.55/172.33 cnf(10816,plain,
% 172.55/172.33 (P5(a109,f28(f4(a109)),f3(a109))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,6293,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,3274,2194,6296,10809,6282,6312,10383,10436,6295,6290,4986,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,518,603,10550,596,502,557,503,556,407,396,3337,409,383,384,476,466,467,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,397,2917,536,638,10100,10127,10384,637,10418,10563,432,2907,749,10545,479,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,7247,6959,10092,10149,6889,7329,6771,4488,6937,6519,4256,6034,10120,5172,4183,5955,10082,2246,10708,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515])).
% 172.55/172.33 cnf(10818,plain,
% 172.55/172.33 (~P5(a111,f3(a111),f5(a111,f33(f33(f12(a109),f4(a109)),f3(a111)),f4(a111)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,6293,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,3274,2194,6296,10809,6282,6312,10383,10436,6295,6290,4986,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,7760,6310,2035,6301,3443,382,518,603,10550,596,502,557,503,556,407,396,3337,409,383,384,476,508,466,467,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,397,2917,536,638,10100,10127,10384,637,10418,10563,432,2907,749,10545,479,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,7247,6959,10092,10149,6889,7329,6771,4488,6937,6519,4256,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431])).
% 172.55/172.33 cnf(10819,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x108191),f4(a111)),x108191)),
% 172.55/172.33 inference(rename_variables,[],[6282])).
% 172.55/172.33 cnf(10829,plain,
% 172.55/172.33 (P4(x108291,x108292,f31(x108291,f33(f33(f12(a109),f4(a109)),x108292),x108293))),
% 172.55/172.33 inference(rename_variables,[],[6296])).
% 172.55/172.33 cnf(10835,plain,
% 172.55/172.33 (P6(a110,f14(f114(x108351,a1),f23(f114(x108351,a1)),f2(a110)),f13(a110,f22(f13(a109,f29(a110,f13(a110,f3(a110),f33(f33(f12(a109),f4(a109)),f3(a110)))),f4(a109))),f2(a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,5862,3316,7295,2094,6659,6074,6293,10786,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,6282,6312,10383,10436,6295,6290,4986,6277,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,7760,6291,6310,2035,6301,3443,382,518,603,10550,596,502,557,503,556,385,407,396,3337,409,507,383,384,476,508,466,467,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,2288,397,2917,536,638,10100,10127,10384,637,10418,10563,432,2907,747,749,10545,479,390,1912,10366,10452,587,10397,478,2290,5077,593,581,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,7247,6959,10092,10149,6694,6889,7329,6771,4488,6937,6519,4256,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432])).
% 172.55/172.33 cnf(10836,plain,
% 172.55/172.33 (P6(a110,x108361,f22(f13(a109,f29(a110,f13(a110,f3(a110),f33(f33(f12(a109),f4(a109)),x108361))),f4(a109))))),
% 172.55/172.33 inference(rename_variables,[],[6293])).
% 172.55/172.33 cnf(10839,plain,
% 172.55/172.33 (P5(a110,x108391,f13(a110,x108391,x108392))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(10840,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x108401),f4(a109)),f4(a109)))),x108401)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(10841,plain,
% 172.55/172.33 (P5(a110,f3(a110),x108411)),
% 172.55/172.33 inference(rename_variables,[],[587])).
% 172.55/172.33 cnf(10850,plain,
% 172.55/172.33 (~E(x108501,f13(a109,f29(a110,f27(x108501)),f4(a109)))),
% 172.55/172.33 inference(rename_variables,[],[1916])).
% 172.55/172.33 cnf(10857,plain,
% 172.55/172.33 (P6(f13(a110,f3(a110),a109),f13(f13(a110,f3(a110),a109),f3(f13(a110,f3(a110),a109)),f3(f13(a110,f3(a110),a109))),f13(f13(a110,f3(a110),a109),f4(f13(a110,f3(a110),a109)),f4(f13(a110,f3(a110),a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,6282,6312,10383,10436,6295,6290,4986,6277,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,503,556,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,637,10418,10563,432,2907,747,749,10545,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612])).
% 172.55/172.33 cnf(10860,plain,
% 172.55/172.33 (~P5(a109,f47(x108601,a113,a109),x108601)),
% 172.55/172.33 inference(rename_variables,[],[8710])).
% 172.55/172.33 cnf(10863,plain,
% 172.55/172.33 (P4(x108631,f79(f36(f4(a109)),f6(f114(x108632,a1),f16(f114(f114(x108632,a1),a1),f6(f114(f114(x108632,a1),a1),f2(f114(f114(f114(x108632,a1),a1),a1))),f19(a109,f23(f114(a109,a1)),a113))),f31(x108631,f5(a110,f13(a110,f3(a109),x108633),x108633),x108634),x108631),f31(x108631,f5(a110,f13(a110,f3(a109),x108633),x108633),x108634))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,6282,6312,10383,10436,6295,6290,4986,6277,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,503,556,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,637,10418,10563,432,2907,747,749,10545,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,10693,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855])).
% 172.55/172.33 cnf(10875,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),f14(f114(x108751,a1),f2(f114(x108751,a1)),f2(f114(x108751,a1))),f2(f114(x108752,a1)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,6312,10383,10436,6295,6290,4986,6277,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,503,556,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,637,10418,10563,432,2907,747,749,10545,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,10693,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967])).
% 172.55/172.33 cnf(10878,plain,
% 172.55/172.33 (P6(f114(x108781,a1),f19(a109,f23(f114(a109,a1)),a113),a113)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,6312,10383,10436,6295,6290,4986,6277,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,503,556,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,637,10418,10563,432,2907,747,749,10545,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,10693,4119,590,4261,2467,5080,7071,7919,7887,2037,8288,10421,8303,8173,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302])).
% 172.55/172.33 cnf(10884,plain,
% 172.55/172.33 (P6(a109,x108841,f33(f33(f12(a109),f29(a110,f104(f29(a110,f96(f3(a109))),x108841))),f29(a110,f96(f3(a109)))))),
% 172.55/172.33 inference(rename_variables,[],[2958])).
% 172.55/172.33 cnf(10899,plain,
% 172.55/172.33 (E(x108991,f13(a110,x108991,f3(a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,9162,5332,5265,8873,8875,8675,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,580,10415,491,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,661,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,10693,6138,4119,2958,590,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106])).
% 172.55/172.33 cnf(10900,plain,
% 172.55/172.33 (P5(a110,x109001,f13(a110,x109001,x109002))),
% 172.55/172.33 inference(rename_variables,[],[638])).
% 172.55/172.33 cnf(10907,plain,
% 172.55/172.33 (P6(a109,f3(a109),f29(a110,f104(f29(a110,f96(f3(a109))),f3(a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,661,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,10693,6138,4119,2958,10884,590,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571])).
% 172.55/172.33 cnf(10911,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x109111),f4(a111)),x109111)),
% 172.55/172.33 inference(rename_variables,[],[6282])).
% 172.55/172.33 cnf(10914,plain,
% 172.55/172.33 (P6(a111,f5(a111,f33(f33(f12(a109),f4(a109)),x109141),f4(a111)),x109141)),
% 172.55/172.33 inference(rename_variables,[],[6282])).
% 172.55/172.33 cnf(10916,plain,
% 172.55/172.33 (P6(a110,f14(f114(x109161,a1),f2(a110),f23(f114(x109161,a1))),f5(a110,f13(a109,f13(a110,f14(f114(x109161,a1),f2(a110),f23(f114(x109161,a1))),f3(a110)),f4(a109)),f3(a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,661,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,5876,10693,6138,4119,2958,10884,590,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966])).
% 172.55/172.33 cnf(10918,plain,
% 172.55/172.33 (~P6(a110,x109181,f14(f114(x109182,a1),f2(a110),f23(f114(x109182,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(10925,plain,
% 172.55/172.33 (P6(a109,f13(a109,f5(a109,f3(a109),f4(a109)),f5(a109,f3(a109),f4(a109))),f3(a109))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,661,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,10219,5876,10693,6138,4119,2958,10884,590,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483])).
% 172.55/172.33 cnf(10936,plain,
% 172.55/172.33 (~P6(a109,f33(f33(f12(a109),f2(a110)),x109361),f33(f33(f12(a109),f3(a110)),x109361))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6593,6220,2775,4576,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,2288,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,10219,5876,10693,6138,4119,2958,10884,590,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,5717,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706])).
% 172.55/172.33 cnf(10940,plain,
% 172.55/172.33 (P4(x109401,x109402,f31(f33(f33(f12(a109),f4(a109)),x109401),x109402,x109403))),
% 172.55/172.33 inference(rename_variables,[],[6306])).
% 172.55/172.33 cnf(10944,plain,
% 172.55/172.33 (~P5(a109,f3(a109),f33(f33(f12(a109),f47(f3(a109),a113,a109)),f5(a109,f3(a109),f4(a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6306,6593,2266,6220,2775,4576,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,10219,5876,10693,6138,4119,2958,10884,590,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9103,5717,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517])).
% 172.55/172.33 cnf(10947,plain,
% 172.55/172.33 (~P5(a110,f5(a110,f47(f3(a110),f7(f114(a110,a1),f6(f114(f114(a110,a1),a1),f2(f114(f114(f114(a110,a1),a1),a1)))),a110),f3(a110)),f5(a110,f3(a110),f3(a110)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,6306,6593,2266,6220,2775,4576,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,10219,5876,10693,6138,4119,2958,10884,590,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9103,5717,9202,9080,9594,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783])).
% 172.55/172.33 cnf(10948,plain,
% 172.55/172.33 (P5(a110,f3(a110),x109481)),
% 172.55/172.33 inference(rename_variables,[],[587])).
% 172.55/172.33 cnf(10949,plain,
% 172.55/172.33 (P5(a110,x109491,x109491)),
% 172.55/172.33 inference(rename_variables,[],[579])).
% 172.55/172.33 cnf(10952,plain,
% 172.55/172.33 (P5(a109,f33(f33(f12(a109),f4(a109)),x109521),x109521)),
% 172.55/172.33 inference(rename_variables,[],[5605])).
% 172.55/172.33 cnf(10959,plain,
% 172.55/172.33 (~P6(a110,x109591,f14(f114(x109592,a1),f2(a110),f23(f114(x109592,a1))))),
% 172.55/172.33 inference(rename_variables,[],[8209])).
% 172.55/172.33 cnf(10962,plain,
% 172.55/172.33 (~P5(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),f4(f13(a110,f3(a110),a109))),f4(f13(a110,f3(a110),a109))),f33(f33(f12(f13(a110,f3(a110),a109)),f3(f13(a110,f3(a110),a109))),f4(f13(a110,f3(a110),a109))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,6593,2266,6220,2775,4576,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,10219,5876,10693,6138,4119,2958,10884,590,509,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9103,5717,9202,9080,9594,9266,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753])).
% 172.55/172.33 cnf(10964,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),f3(f13(a110,f3(a110),a109))),f3(f13(a110,f3(a110),a109))),f3(f13(a110,f3(a110),a109)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5671,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,6593,2266,6220,2775,4576,9162,5332,5265,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,2246,10708,2248,10219,5876,10693,6138,4119,2958,10884,590,509,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,6804,5712,3000,9103,5717,9202,9080,9594,9266,9558,10315,7842,8702,4146,8404,8914,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477])).
% 172.55/172.33 cnf(11005,plain,
% 172.55/172.33 (~P3(f13(a110,f3(a110),a109))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,8932,9858,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264])).
% 172.55/172.33 cnf(11010,plain,
% 172.55/172.33 (P6(f13(a110,f3(a110),a109),f33(f33(f12(f13(a110,f3(a110),a109)),f3(f13(a110,f3(a110),a109))),f3(f13(a110,f3(a110),a109))),f33(f33(f12(f13(a110,f3(a110),a109)),f13(f13(a110,f3(a110),a109),f4(f13(a110,f3(a110),a109)),f4(f13(a110,f3(a110),a109)))),f13(f13(a110,f3(a110),a109),f4(f13(a110,f3(a110),a109)),f4(f13(a110,f3(a110),a109)))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777])).
% 172.55/172.33 cnf(11012,plain,
% 172.55/172.33 (P5(f13(a110,f3(a110),a109),x110121,x110121)),
% 172.55/172.33 inference(rename_variables,[],[9558])).
% 172.55/172.33 cnf(11029,plain,
% 172.55/172.33 (~E(f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,x110291),f4(a109)),f4(a109)))),x110291)),
% 172.55/172.33 inference(rename_variables,[],[7238])).
% 172.55/172.33 cnf(11044,plain,
% 172.55/172.33 (E(f33(f33(f12(f33(f33(f12(a109),f4(a109)),f13(a110,a109,f3(a110)))),x110441),f4(f33(f33(f12(a109),f4(a109)),f13(a110,a109,f3(a110))))),x110441)),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,7258,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805])).
% 172.55/172.33 cnf(11066,plain,
% 172.55/172.33 (E(f13(a110,f33(f33(f12(a110),f3(a110)),f5(a110,f3(a110),f3(a110))),f33(f33(f12(a110),f4(a110)),x110661)),f13(a110,f33(f33(f12(a110),f3(a110)),f5(a110,f3(a110),f3(a110))),f13(a110,f33(f33(f12(a110),f5(a110,f3(a110),f3(a110))),f5(a110,f3(a110),f3(a110))),x110661)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,7258,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844])).
% 172.55/172.33 cnf(11069,plain,
% 172.55/172.33 (E(f5(a110,f13(a110,f13(a110,x110691,x110692),x110693),x110691),f13(a110,x110692,x110693))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,7258,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558])).
% 172.55/172.33 cnf(11071,plain,
% 172.55/172.33 (P14(a110,f13(a110,f33(f33(f12(a110),f5(a110,x110711,x110711)),x110712),f13(a110,f3(a110),f33(f12(a110),f3(a110)))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,6581,5364,4630,4694,5000,3290,7222,6228,10228,10499,10709,6306,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7557,6538,8235,9220,10587,8338,6492,8805,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,670,7258,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,9326,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558,321])).
% 172.55/172.33 cnf(11077,plain,
% 172.55/172.33 (P5(a111,x110771,x110771)),
% 172.55/172.33 inference(rename_variables,[],[580])).
% 172.55/172.33 cnf(11091,plain,
% 172.55/172.33 (~P6(a110,x110911,f13(a110,f5(a110,x110911,x110911),x110911))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,10850,5607,3297,3278,3304,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,2297,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,10959,6581,5364,4630,8091,4694,5000,3290,7222,6228,10228,10499,10709,6306,10940,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7200,7557,6538,8235,9220,10587,8338,6492,8805,6202,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,10470,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,670,7258,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,9326,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558,321,1068,1262,1773,1906,1429,1839,1840,1643,1541])).
% 172.55/172.33 cnf(11095,plain,
% 172.55/172.33 (~E(f16(f114(x110951,a1),f31(x110951,x110952,x110953),x110954),f2(f114(x110951,a1)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,7942,745,3303,3307,3309,2049,1916,10850,5607,3297,3278,3304,743,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,2297,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,10959,6581,5364,4630,8091,4694,5000,3290,7222,6228,10228,10499,10709,6306,10940,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7200,7557,6538,8235,9220,10587,8338,6492,8805,6202,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,10470,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,3447,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,670,7258,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,2439,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,9326,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558,321,1068,1262,1773,1906,1429,1839,1840,1643,1541,1695,929])).
% 172.55/172.33 cnf(11101,plain,
% 172.55/172.33 (~P78(f33(f31(x111011,f30(x111012,x111013),f19(a109,f23(f114(a109,a1)),a113)),f5(a110,f2(f114(x111014,a1)),f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,4224,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,6221,7942,745,3303,3307,3309,2049,1916,10850,5607,3297,3278,3304,743,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,3927,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,11029,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,2297,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,10959,6581,5364,4630,8091,4694,5000,3290,7222,6228,10228,10499,10709,6306,10940,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7200,7557,6538,8235,9220,10587,8338,6492,8805,6202,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,10470,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,3447,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,670,7258,662,737,2469,3582,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,2439,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,8445,8749,10409,9575,9332,8932,9858,9581,7635,4028,9326,8370,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558,321,1068,1262,1773,1906,1429,1839,1840,1643,1541,1695,929,928,1682])).
% 172.55/172.33 cnf(11110,plain,
% 172.55/172.33 (E(x111101,f13(a110,f33(f33(f12(a110),f5(a110,x111102,x111102)),x111103),f33(f33(f12(a110),f4(a110)),x111101)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,4224,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,6221,7942,745,3303,3307,3309,2049,1916,10850,5607,3297,3278,3304,743,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,3927,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,11029,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,2297,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,10959,6581,5364,4630,8091,4694,5000,3290,7222,6228,10228,10499,10709,6306,10940,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7200,7557,6538,8235,9220,10587,8338,6492,8805,6202,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,10470,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,3447,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,670,7258,662,737,2469,3582,2949,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,2439,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,9535,8445,9018,8749,10409,9575,9332,8932,9858,9581,7635,4028,9326,8370,8969,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558,321,1068,1262,1773,1906,1429,1839,1840,1643,1541,1695,929,928,1682,1438,1536,1038])).
% 172.55/172.33 cnf(11113,plain,
% 172.55/172.33 (~P6(a111,f5(a111,f13(a111,f4(a111),f4(a111)),f33(f33(f12(a111),f13(a111,f4(a111),f4(a111))),f14(f114(x111131,a1),f23(f114(x111131,a1)),f3(a111)))),f13(a111,f4(a111),f4(a111)))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,4224,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,6221,7942,745,3303,3307,3309,2049,1916,10850,5607,3297,3278,3304,743,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,3927,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,11029,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,2297,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,10959,6581,5364,4630,8091,4694,5000,3290,7222,6228,10228,10499,10709,6306,10940,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,8873,8875,8402,8675,9518,8489,7200,7557,6538,8235,9220,10587,8338,6492,8805,6202,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,10470,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,3447,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,670,7258,662,737,2469,3582,2949,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,5669,4119,2958,10884,590,509,2189,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,2439,9103,5717,9202,9080,9594,9266,9558,10315,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,9535,8445,9018,8749,10409,9575,9332,8932,9858,9581,7635,4028,9326,8370,8969,9900,8816,7965,5707,8133,3333,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558,321,1068,1262,1773,1906,1429,1839,1840,1643,1541,1695,929,928,1682,1438,1536,1038,1650])).
% 172.55/172.33 cnf(11125,plain,
% 172.55/172.33 (~P5(a111,f33(f33(f12(a111),f5(a111,f13(a111,f4(a111),f4(a111)),f4(a111))),f4(a111)),f3(a111))),
% 172.55/172.33 inference(scs_inference,[],[753,8079,10330,10604,5978,10654,1996,6106,7019,4229,10204,5151,6308,5731,10132,10334,10427,10580,3515,4052,4007,10358,10538,10560,10579,10608,10621,6863,4872,10046,2244,10321,10364,10445,1989,10480,3651,1993,3493,4358,2205,8282,10318,10325,10327,5902,10345,10347,10349,10354,5273,10196,10201,10212,4767,2242,7622,6336,2170,8158,10455,10539,5049,6820,6808,4224,5634,2025,8710,10412,10433,10595,10598,10860,8251,8858,8394,6982,5437,8712,10056,7797,6221,7942,745,3303,3307,3309,2049,1916,10850,5607,3297,3278,3304,743,3322,3293,3252,5053,3315,3284,3265,3319,3296,4858,3320,3299,3283,3277,3269,3927,5788,10483,2100,10111,10280,10530,5605,10160,10193,10231,10273,10513,10601,10789,10952,4635,10496,2044,3313,3292,3289,5239,3259,3247,3897,5938,7238,10108,10157,10249,10424,10689,10840,11029,5862,10312,3316,7295,2094,6659,6074,6293,10786,10836,1947,2301,7006,5351,6280,3271,3270,3261,3258,5204,3248,2209,10674,10703,5124,4613,4634,3311,5526,5671,5140,3302,6087,3274,2194,2297,6296,10809,10814,10829,6282,10819,10911,10914,6312,10383,10436,6295,6290,4986,6277,2295,3314,3308,3301,3300,3298,3294,3281,3280,3279,3272,3263,3262,3260,3257,3255,3254,3253,3251,3250,3249,7637,7187,8106,8230,10459,5790,10073,10085,8001,8209,10188,10207,10246,10442,10663,10918,10959,6581,5364,4630,8091,4694,5000,3290,7222,6228,10228,10499,10709,6306,10940,5362,6593,2266,6220,2775,4576,9162,5332,5265,5259,5243,5209,8873,8875,8402,8675,9518,8489,7200,7557,6538,8235,9220,10587,8338,6492,8805,6202,7720,5366,5507,7760,6291,6310,2035,2413,6301,3443,382,594,518,519,603,10550,10779,596,502,557,527,503,556,506,385,407,396,3337,409,507,383,384,476,508,466,467,446,394,411,424,393,392,477,501,500,751,10373,387,389,580,10415,10470,11077,491,525,606,10430,579,10747,10949,2288,3327,397,2917,536,3447,395,638,10100,10127,10384,10575,10839,10900,637,10418,10563,432,2907,747,749,10545,10570,661,479,390,1912,10366,10452,587,10397,10531,10841,10948,478,2290,5077,593,581,4759,4557,10635,10638,2455,1926,641,4473,2137,2079,670,7258,662,737,2469,3582,2949,2421,7247,6959,10092,10149,6694,6889,7329,4442,6771,4488,6937,6519,4256,6764,5142,6034,10120,5172,10337,4183,5955,10082,10142,2246,10708,2248,10219,5876,10693,2481,6138,5669,4119,2958,10884,590,509,2189,4754,4261,2467,5080,7071,7919,7887,2841,2037,8288,10421,8303,8173,6263,6477,4323,4645,7062,2073,2131,4709,2251,3209,10297,6804,5712,3000,516,2439,9103,5717,9202,9080,8775,9594,9266,9558,10315,11012,7842,9311,8702,4146,8404,8914,9290,9292,9271,9344,9860,8104,9254,9315,8723,8741,10696,9535,8445,9018,8749,10409,9575,9332,8932,9858,9581,7635,4028,9326,8370,8969,9900,8816,7965,5707,8133,3333,3771,20,16,15,6,2,43,833,1332,1002,29,1197,1358,993,1182,1657,922,1567,868,972,1490,883,889,985,1311,1425,832,8,1191,995,1216,1435,1326,1320,894,1162,952,775,933,900,1325,1108,1532,888,1514,1220,783,983,22,1312,1195,1137,1531,1560,1020,890,903,1138,896,1107,1421,1423,1084,937,1308,1055,1417,934,785,897,1041,895,1183,881,1655,1102,48,892,990,1005,1198,902,991,1058,1534,1085,1193,1258,1019,810,1324,1533,893,1217,1416,874,780,901,1331,1218,935,979,904,1561,1057,936,1658,1513,1189,1321,1212,21,1592,1049,1387,1418,1288,1139,1003,867,9318,281,284,290,344,355,280,292,347,3,293,356,283,306,288,298,305,310,345,349,297,368,367,282,357,311,272,286,277,304,291,287,312,348,333,1233,997,940,299,1594,1842,1155,1589,1075,1094,1090,1000,1089,1449,1792,1124,317,1868,1869,1871,1867,1885,917,1159,1345,1390,1832,1841,1866,336,1097,1673,1238,1133,1833,957,1450,851,1341,1882,1335,1340,1157,1231,1523,1880,971,911,1870,1230,1680,1879,1881,1158,1834,1337,1590,1343,1606,1770,1677,1831,1154,925,1363,1215,1074,1234,1100,1073,335,279,308,1661,1362,1876,1156,1640,1875,802,1679,1254,1319,1843,800,1267,1235,1236,1339,334,1249,1361,1010,1083,1404,1360,1675,1329,1018,1671,1012,1573,1250,278,1146,1201,1895,1334,1524,910,1237,834,939,1098,1142,1229,1228,1040,285,324,329,330,341,342,352,353,358,371,372,378,1811,1848,1208,1864,1456,1039,1451,1877,276,273,289,294,296,300,313,316,319,322,323,325,328,338,343,350,359,360,361,362,369,373,374,377,379,380,1455,1367,1452,1865,295,307,314,318,326,331,332,337,340,354,363,364,365,366,370,1147,1688,1272,1639,1758,1392,1454,1242,1685,1588,1145,1001,1181,1662,1436,1691,1280,1433,1172,1617,1176,1515,1431,1799,1896,1112,1726,1809,1577,1432,1402,1434,1489,1457,1025,1613,1430,1612,1357,1855,1174,1668,1027,967,1302,1479,1165,1173,1654,1279,1857,1106,1355,1168,1571,1167,1469,966,1782,1616,1483,1170,1166,1470,1706,1405,1815,1517,1783,1473,1461,1169,1134,1753,1477,1411,1749,1460,1177,1622,1634,1144,1751,1464,1635,1476,1475,1862,1303,1698,1304,1264,1777,1778,1047,1656,1756,3264,1140,866,1715,1042,1579,1582,1704,1703,805,941,1719,1563,1564,1580,1716,339,1095,1091,1243,1844,1558,321,1068,1262,1773,1906,1429,1839,1840,1643,1541,1695,929,928,1682,1438,1536,1038,1650,1485,1632,1624,1626,1484])).
% 172.55/172.33 cnf(11181,plain,
% 172.55/172.33 (~E(f13(f13(a110,f3(a110),a109),x111811,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(f13(a110,f3(a110),a109))),f4(a109)),f4(a109))))),x111811)),
% 172.55/172.33 inference(rename_variables,[],[10423])).
% 172.55/172.33 cnf(11183,plain,
% 172.55/172.33 (P4(x111831,x111832,f7(f114(x111831,a1),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.55/172.33 inference(scs_inference,[],[1989,10731,10722,10423,10333,3277,815,842,820,1128,1072,980,1327])).
% 172.55/172.33 cnf(11184,plain,
% 172.55/172.33 (~P4(x111841,x111842,f19(a109,f23(f114(a109,a1)),a113))),
% 172.55/172.33 inference(rename_variables,[],[1989])).
% 172.55/172.33 cnf(11213,plain,
% 172.55/172.33 (~P5(a110,f27(f13(a109,f29(a110,f27(f13(a109,f13(a109,f29(a110,x112131),f4(a109)),f4(a109)))),f4(a109))),x112131)),
% 172.55/172.33 inference(rename_variables,[],[10263])).
% 172.55/172.33 cnf(11222,plain,
% 172.55/172.33 (~P6(a109,f16(a109,x112221,x112222),x112222)),
% 172.55/172.33 inference(rename_variables,[],[10365])).
% 172.55/172.33 cnf(11229,plain,
% 172.55/172.33 (~P6(a111,f3(a111),f5(a111,f4(a111),f33(f33(f12(a111),f4(a111)),f13(a111,f5(a111,f3(a111),f5(a111,f4(a111),f13(a111,f4(a111),f4(a111)))),f4(a111)))))),
% 172.55/172.33 inference(scs_inference,[],[10087,1996,10772,10405,10403,1989,10731,10722,10423,10333,7049,11113,9194,10181,7495,3277,10620,10306,10151,10263,10365,4593,10429,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991])).
% 172.55/172.33 cnf(11232,plain,
% 172.55/172.33 (~E(f13(f13(a110,f3(a110),a109),x112321,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(f13(a110,f3(a110),a109))),f4(a109)),f4(a109))))),x112321)),
% 172.55/172.33 inference(rename_variables,[],[10423])).
% 172.55/172.33 cnf(11249,plain,
% 172.55/172.33 (~P5(a109,f29(a110,f27(f16(a109,f13(a109,x112491,f4(a109)),x112492))),x112491)),
% 172.55/172.33 inference(rename_variables,[],[10737])).
% 172.55/172.33 cnf(11258,plain,
% 172.55/172.33 (~P5(a110,f22(f13(a109,f29(a110,f27(f29(a110,x112581))),f4(a109))),x112581)),
% 172.55/172.33 inference(rename_variables,[],[6774])).
% 172.55/172.33 cnf(11264,plain,
% 172.55/172.33 (P4(f114(f114(a109,a1),a1),f46(f30(f114(a109,a1),f30(a109,f3(a110))),f82(f23(f114(f114(a109,a1),a1)),f6(f114(f114(a109,a1),a1),f30(f114(a109,a1),f30(a109,f3(a110)))),f114(a109,a1)),f114(a109,a1)),f30(f114(a109,a1),f30(a109,f3(a110))))),
% 172.55/172.33 inference(scs_inference,[],[10087,1996,10772,10405,10403,8347,6982,1989,10731,10722,10423,11181,10333,8536,11066,7049,11113,9194,10181,7495,3277,8273,10236,10620,10306,4352,10151,10263,10365,4593,10429,10737,5759,6774,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514])).
% 172.55/172.33 cnf(11272,plain,
% 172.55/172.33 (P6(a110,x112721,f22(f13(a109,f29(a110,f13(a110,f3(a110),f33(f33(f12(a109),f4(a109)),x112721))),f4(a109))))),
% 172.55/172.33 inference(rename_variables,[],[6293])).
% 172.55/172.33 cnf(11279,plain,
% 172.55/172.33 (~P5(a109,f47(x112791,a113,a109),x112791)),
% 172.55/172.33 inference(rename_variables,[],[8710])).
% 172.55/172.33 cnf(11287,plain,
% 172.55/172.33 (E(f33(f33(f12(a111),f4(a111)),f33(f33(f12(a110),f5(a110,x112871,x112871)),x112872)),f3(a110))),
% 172.55/172.33 inference(scs_inference,[],[10087,1996,10772,10405,10403,8347,6982,8710,2025,1989,10731,10722,6988,10423,11181,10333,8536,11066,7049,11113,9194,10181,7495,6293,3277,8273,10800,10236,3413,10620,10306,4352,10509,10151,10263,10365,10091,4593,10429,10737,5759,6774,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890])).
% 172.55/172.33 cnf(11291,plain,
% 172.55/172.33 (E(x112911,f75(a109,f14(f114(a109,a1),x112912,f2(f114(a109,a1))),f31(a109,x112911,f2(f114(a109,a1)))))),
% 172.55/172.33 inference(rename_variables,[],[8282])).
% 172.55/172.33 cnf(11293,plain,
% 172.55/172.33 (~E(f13(a110,f23(f114(a109,a1)),f3(a110)),f2(f114(a109,a1)))),
% 172.55/172.33 inference(scs_inference,[],[10087,1996,10772,10405,10403,10522,8347,6982,8710,2025,8282,1989,10731,10722,6988,10423,11181,10333,8536,11066,7049,11113,9194,10181,7495,6293,3277,8273,10800,10236,3413,10620,10306,4352,10509,10151,10263,10365,10091,4593,10429,10737,5759,6774,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983])).
% 172.55/172.33 cnf(11299,plain,
% 172.55/172.33 (~P4(x112991,x112992,f13(a111,f2(f114(x112993,a1)),f33(f33(f12(a111),f5(a111,x112994,x112994)),x112995)))),
% 172.55/172.33 inference(rename_variables,[],[10138])).
% 172.55/172.33 cnf(11311,plain,
% 172.55/172.33 (P6(a111,x113111,f16(a111,x113112,f13(a111,x113111,f4(a111))))),
% 172.55/172.33 inference(rename_variables,[],[10102])).
% 172.55/172.33 cnf(11326,plain,
% 172.55/172.33 (~P5(a110,f27(f13(a109,f29(a110,f27(f13(a109,f13(a109,f29(a110,x113261),f4(a109)),f4(a109)))),f4(a109))),x113261)),
% 172.55/172.33 inference(rename_variables,[],[10263])).
% 172.55/172.33 cnf(11328,plain,
% 172.55/172.33 (P78(f33(a113,f47(x113281,a113,a109)))),
% 172.55/172.33 inference(scs_inference,[],[10087,1996,10772,10405,10403,10522,8814,5134,8347,6982,8710,2025,8282,1989,11184,10731,10722,6988,10423,11181,10333,8536,10138,11066,7049,11113,9194,10181,7495,6293,3277,8273,10800,10236,3413,10377,10620,10306,4352,10509,10818,6654,10151,10263,11213,10365,10091,10102,4593,10429,10737,10742,5759,6774,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952])).
% 172.55/172.33 cnf(11343,plain,
% 172.55/172.33 (P6(a110,x113431,f27(f33(f33(f12(a109),f4(a109)),f13(a109,f29(a110,x113431),f4(a109)))))),
% 172.55/172.33 inference(scs_inference,[],[10087,1996,10772,10405,10403,10522,8814,5134,8347,6982,8710,2025,8282,1989,11184,10731,10722,6988,10423,11181,10333,11095,8536,10138,7311,7292,11066,7049,11113,9194,10181,7495,6293,3277,8273,10800,10236,3413,10377,10620,10306,4352,10509,10818,6654,10151,10263,11213,10365,10091,10102,4593,10448,10429,10737,10742,10096,5759,6774,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137])).
% 172.55/172.33 cnf(11344,plain,
% 172.55/172.33 (P6(a109,x113441,f29(a110,f27(f33(f33(f12(a109),f4(a109)),f13(a109,x113441,f4(a109))))))),
% 172.55/172.33 inference(rename_variables,[],[10448])).
% 172.55/172.33 cnf(11349,plain,
% 172.55/172.33 (~E(f13(f13(a110,f3(a110),a109),x113491,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(f13(a110,f3(a110),a109))),f4(a109)),f4(a109))))),x113491)),
% 172.55/172.34 inference(rename_variables,[],[10423])).
% 172.55/172.34 cnf(11351,plain,
% 172.55/172.34 (~P6(a110,f13(a110,x113511,f22(f29(a110,x113512))),x113512)),
% 172.55/172.34 inference(scs_inference,[],[10087,1996,10772,10405,10403,10522,8814,5134,8347,6982,8710,2025,8282,1989,11184,10731,10722,6988,10423,11181,11232,10333,11095,8536,10138,7311,7292,11066,7049,11113,9194,10181,7495,6293,3277,8273,10800,10236,3413,10377,10620,10306,4352,10509,10818,6654,10947,10151,10263,11213,10365,10091,10102,4593,10448,10429,10737,10742,10096,5759,8510,6774,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332])).
% 172.55/172.34 cnf(11376,plain,
% 172.55/172.34 (~P6(a109,f16(a109,x113761,x113762),x113762)),
% 172.55/172.34 inference(rename_variables,[],[10365])).
% 172.55/172.34 cnf(11388,plain,
% 172.55/172.34 (~P4(x113881,x113882,f13(a111,f2(f114(x113883,a1)),f33(f33(f12(a111),f5(a111,x113884,x113884)),x113885)))),
% 172.55/172.34 inference(rename_variables,[],[10138])).
% 172.55/172.34 cnf(11392,plain,
% 172.55/172.34 (~E(f33(f33(f12(a109),f4(a109)),f114(a109,a1)),f13(a110,f3(a110),a109))),
% 172.55/172.34 inference(scs_inference,[],[10087,1996,10772,10405,10403,10522,8814,5134,8347,6982,8710,2025,8282,1989,11184,10731,10722,10331,6988,10423,11181,11232,10333,11095,8536,10138,11299,7311,7292,11066,7049,11113,9194,10181,7495,6293,3277,8273,10800,10236,3413,10377,10620,10306,4352,10509,10818,6654,10947,10151,10263,11213,10641,10365,11222,11091,10091,10102,4593,10448,10429,10737,10742,10096,5759,10183,10916,8388,8510,6774,11258,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2])).
% 172.55/172.34 cnf(11396,plain,
% 172.55/172.34 (P5(f114(x113961,a1),f2(f114(x113962,a1)),x113963)),
% 172.55/172.34 inference(rename_variables,[],[8685])).
% 172.55/172.34 cnf(11400,plain,
% 172.55/172.34 (~E(f22(f13(a109,f29(a110,f13(a110,f5(a110,x114001,f3(a110)),f3(a110))),f4(a109))),x114001)),
% 172.55/172.34 inference(scs_inference,[],[10087,1996,10772,10405,10403,10522,8814,5134,8347,6982,8710,2025,8282,1989,11184,10731,10722,10331,6988,10423,11181,11232,10333,11095,8536,10138,11299,7311,7292,10529,11066,7049,11113,9194,10181,7495,8685,6293,3277,8273,10800,10236,3413,10377,10620,10306,4352,10509,10907,10818,6654,10947,10151,10263,11213,10641,10365,11222,11091,10091,10102,4593,10448,10429,10737,10742,10096,5759,10183,10916,8388,8510,6774,11258,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20])).
% 172.55/172.34 cnf(11415,plain,
% 172.55/172.34 (~E(f13(f13(a110,f3(a110),a109),x114151,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(f13(a110,f3(a110),a109))),f4(a109)),f4(a109))))),x114151)),
% 172.55/172.34 inference(rename_variables,[],[10423])).
% 172.55/172.34 cnf(11440,plain,
% 172.55/172.34 (~E(f33(f19(a109,f23(f114(a109,a1)),a113),x114401),f33(a113,a34))),
% 172.55/172.34 inference(rename_variables,[],[8346])).
% 172.55/172.34 cnf(11459,plain,
% 172.55/172.34 (P6(a111,x114591,f16(a111,x114592,f13(a111,x114591,f4(a111))))),
% 172.55/172.34 inference(rename_variables,[],[10102])).
% 172.55/172.34 cnf(11463,plain,
% 172.55/172.34 (P5(a110,f3(a110),x114631)),
% 172.55/172.34 inference(rename_variables,[],[587])).
% 172.55/172.34 cnf(11466,plain,
% 172.55/172.34 (~E(f47(x114661,a113,a109),x114661)),
% 172.55/172.34 inference(rename_variables,[],[10572])).
% 172.55/172.34 cnf(11470,plain,
% 172.55/172.34 (~P6(a109,f16(a109,x114701,x114702),x114702)),
% 172.55/172.34 inference(rename_variables,[],[10365])).
% 172.55/172.34 cnf(11483,plain,
% 172.55/172.34 (P5(f112(x114831),f16(f114(x114832,a1),x114833,f5(f114(x114832,a1),x114834,x114833)),f16(f114(x114832,a1),x114833,x114834))),
% 172.55/172.34 inference(rename_variables,[],[7866])).
% 172.55/172.34 cnf(11488,plain,
% 172.55/172.34 (P5(f112(x114881),f16(f114(x114882,a1),x114883,f5(f114(x114882,a1),x114884,x114883)),f16(f114(x114882,a1),x114883,x114884))),
% 172.55/172.34 inference(rename_variables,[],[7866])).
% 172.55/172.34 cnf(11493,plain,
% 172.55/172.34 (P4(x114931,f78(f19(a109,f23(f114(a109,a1)),a113),x114932,f31(x114931,a115,x114933),x114931),f16(f114(x114931,a1),f31(x114931,a115,x114933),x114932))),
% 172.55/172.34 inference(rename_variables,[],[2207])).
% 172.55/172.34 cnf(11506,plain,
% 172.55/172.34 (E(x115061,f75(a109,f14(f114(a109,a1),x115062,f2(f114(a109,a1))),f31(a109,x115061,f2(f114(a109,a1)))))),
% 172.55/172.34 inference(rename_variables,[],[8282])).
% 172.55/172.34 cnf(11543,plain,
% 172.55/172.34 (E(x115431,f75(a109,f14(f114(a109,a1),x115432,f2(f114(a109,a1))),f31(a109,x115431,f2(f114(a109,a1)))))),
% 172.55/172.34 inference(rename_variables,[],[8282])).
% 172.55/172.34 cnf(11545,plain,
% 172.55/172.34 (E(x115451,f60(f31(x115452,x115451,f14(f114(x115453,a1),f19(a109,f23(f114(a109,a1)),a113),x115454))))),
% 172.55/172.34 inference(rename_variables,[],[5902])).
% 172.55/172.34 cnf(11556,plain,
% 172.55/172.34 (~E(x115561,f27(f13(a109,f29(a110,x115561),f4(a109))))),
% 172.55/172.34 inference(rename_variables,[],[8387])).
% 172.55/172.34 cnf(11560,plain,
% 172.55/172.34 (~P5(a111,x115601,f5(a111,f33(f33(f12(a109),f4(a109)),x115601),f4(a111)))),
% 172.55/172.34 inference(scs_inference,[],[10087,1996,10863,10772,10045,10405,5070,10403,10522,8814,5134,8347,7929,6982,7797,2207,8710,2025,8282,11291,11506,11543,5902,1989,11184,5049,10731,10722,5330,10331,8346,11440,6988,10553,10423,11181,11232,11349,7866,11483,10333,8673,11095,8536,10138,11299,8387,8671,10356,7311,7292,10529,10572,11466,11066,10075,7313,5743,5742,7049,11113,9194,8362,10136,10181,7495,8685,8971,7858,5800,3445,7200,6228,8209,8106,3295,6293,11272,3277,3283,3316,8602,10084,8614,10962,8273,9351,10800,10236,10688,3413,10377,10620,10667,10225,10306,4352,10509,10907,10818,6654,10947,10151,10263,11213,11326,10641,10365,11222,11376,11091,10091,10102,11311,10611,10392,4593,10448,8495,10429,10737,10742,10096,5759,10117,10835,10183,10916,8382,8388,8510,6774,11258,2328,2937,4374,2120,6004,3641,455,564,587,425,413,467,409,556,444,518,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075])).
% 172.55/172.34 cnf(11574,plain,
% 172.55/172.34 (~E(f33(a113,a34),f33(f19(a109,f23(f114(a109,a1)),a113),x115741))),
% 172.55/172.34 inference(rename_variables,[],[5049])).
% 172.55/172.34 cnf(11577,plain,
% 172.55/172.34 (P5(a111,f3(a111),f33(f33(f12(a111),x115771),x115771))),
% 172.55/172.34 inference(rename_variables,[],[9332])).
% 172.55/172.34 cnf(11582,plain,
% 172.55/172.34 (P5(f112(x115821),f16(f114(x115822,a1),x115823,f5(f114(x115822,a1),x115824,x115823)),f16(f114(x115822,a1),x115823,x115824))),
% 172.55/172.34 inference(rename_variables,[],[7866])).
% 172.55/172.34 cnf(11584,plain,
% 172.55/172.34 (P6(a109,f3(a109),f33(f33(f12(a109),f29(a110,f104(f29(a110,f96(f3(a109))),f3(a109)))),f29(a110,f104(f29(a110,f96(f3(a109))),f3(a109)))))),
% 172.55/172.34 inference(scs_inference,[],[753,10087,1996,10863,10772,10045,10405,5070,10403,10522,8814,5134,8347,7929,6982,7797,2207,8710,2025,8282,11291,11506,11543,5902,1989,11184,5049,10731,10722,5330,10331,8346,11440,6988,10712,10553,10423,11181,11232,11349,7866,11483,11488,10333,8673,11095,8536,10138,11299,8387,8671,10356,7311,7292,10529,10572,11466,11066,10075,7313,5743,5742,7049,11113,9194,8362,10136,10181,10375,7495,8685,8971,7858,5800,3445,7200,5261,6228,8209,8106,3295,6293,11272,3277,3283,3316,8602,10084,8614,9562,10962,8273,7737,9351,10800,10236,10688,3413,10377,10620,10667,10225,10306,4352,10509,10907,10818,6654,10947,10151,10263,11213,11326,10641,10365,11222,11376,11091,10091,10102,11311,10611,10392,4593,10448,8495,10429,10737,11249,10742,10096,5759,10117,10835,10183,10916,8382,8388,8510,6774,11258,2328,2937,4374,2120,9332,6004,563,3641,455,564,587,425,413,467,409,556,444,603,518,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075,1230,1262,971,1242,1811,1001,1606,1018,1363])).
% 172.55/172.34 cnf(11590,plain,
% 172.55/172.34 (~P6(a110,x115901,f5(a110,f14(f114(x115902,a1),f2(a110),f23(f114(x115902,a1))),x115903))),
% 172.55/172.34 inference(rename_variables,[],[10245])).
% 172.55/172.34 cnf(11599,plain,
% 172.55/172.34 (P78(f33(f19(a109,f23(f114(a109,a1)),f7(f114(a109,a1),f30(a109,x115991))),x115992))),
% 172.55/172.34 inference(scs_inference,[],[753,10087,1996,10863,10772,10045,10405,5070,10403,10522,8814,5134,8347,7929,6982,7797,2207,8710,2025,8282,11291,11506,11543,5902,1989,11184,5731,5049,10731,10722,5330,10331,8346,11440,6088,6988,10712,10553,10423,11181,11232,11349,7866,11483,11488,10333,8673,11095,8536,10138,11299,8387,8671,7812,10356,7311,7292,10529,10572,11466,11066,10075,7313,5743,5742,7049,11113,10351,9194,8362,10136,10181,10375,7495,8685,8971,7858,5800,3445,7200,5261,6228,8209,8106,3295,6293,11272,3277,3283,3316,8602,10084,8614,9562,10962,8273,7737,9351,10800,10236,10688,3413,10377,10620,10667,10225,10306,4352,10509,10907,10818,6654,10230,10947,10151,10263,11213,11326,10641,10365,11222,11376,10245,11091,10091,10102,11311,10611,10392,4593,10448,8495,10429,10737,11249,10742,10096,5759,10117,10835,10183,10916,8382,8388,8510,6774,11258,2328,2937,4374,2120,9332,6004,563,6477,3641,455,564,587,493,425,413,467,409,556,444,603,518,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075,1230,1262,971,1242,1811,1001,1606,1018,1363,1452,1000,1661,1156,1231,1770])).
% 172.55/172.34 cnf(11600,plain,
% 172.55/172.34 (~P4(a109,x116001,f7(f114(a109,a1),f30(a109,x116002)))),
% 172.55/172.34 inference(rename_variables,[],[6477])).
% 172.55/172.34 cnf(11603,plain,
% 172.55/172.34 (E(f5(a110,f13(a110,f13(a110,x116031,x116032),x116033),x116031),f13(a110,x116032,x116033))),
% 172.55/172.34 inference(rename_variables,[],[11069])).
% 172.55/172.34 cnf(11604,plain,
% 172.55/172.34 (P5(a110,x116041,f13(a110,x116042,f33(f33(f12(a110),f13(a110,x116043,x116041)),f13(a110,x116043,x116041))))),
% 172.55/172.34 inference(rename_variables,[],[10081])).
% 172.55/172.34 cnf(11612,plain,
% 172.55/172.34 (P5(a111,f13(a111,f33(f33(f12(a111),f5(a111,x116121,x116121)),x116122),x116123),x116123)),
% 172.55/172.34 inference(rename_variables,[],[10414])).
% 172.55/172.34 cnf(11621,plain,
% 172.55/172.34 (P6(f114(x116211,a1),f19(a109,f23(f114(a109,a1)),a113),a113)),
% 172.55/172.34 inference(rename_variables,[],[10878])).
% 172.55/172.34 cnf(11639,plain,
% 172.55/172.34 (P5(a110,f3(a110),x116391)),
% 172.55/172.34 inference(rename_variables,[],[587])).
% 172.55/172.34 cnf(11641,plain,
% 172.55/172.34 (~P6(a109,f47(x116411,a113,a109),x116411)),
% 172.55/172.34 inference(scs_inference,[],[753,10087,1996,10863,10772,10045,10405,11069,5070,10403,10522,8814,5134,8347,7929,6982,7797,2207,8710,11279,2025,8282,11291,11506,11543,5902,1989,11184,5731,5049,11574,10731,10722,5330,10331,5247,8346,11440,6088,7836,6988,10676,10712,10553,10423,11181,11232,11349,7866,11483,11488,10333,8673,11095,8536,10138,11299,8387,8671,7812,10356,7311,7292,10529,10572,11466,11066,10075,7313,5743,5742,7049,11113,10351,9194,8362,10136,10181,10375,7495,8685,8971,7858,5800,3445,7200,4576,5261,6228,8209,8106,3295,6293,11272,3277,3283,3316,8602,10084,8614,9562,10962,8273,7737,9351,10800,10236,10688,3413,10377,10620,10667,10225,10306,4352,10509,10907,10818,6654,10230,10947,10151,10263,11213,11326,10641,10365,11222,11376,10414,10081,10245,11091,10091,10102,11311,10611,10392,10878,4593,10448,8495,10429,10737,11249,10742,10096,5759,10117,10411,10835,10183,10916,8983,9176,8382,8043,8388,8481,8510,6774,11258,2328,2937,4374,2120,9332,6004,563,6477,3641,455,564,480,587,11463,493,425,413,392,467,394,385,409,383,556,444,503,603,502,518,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075,1230,1262,971,1242,1811,1001,1606,1018,1363,1452,1000,1661,1156,1231,1770,1154,1688,1456,1869,1335,957,1885,1523,1073,1100,1142,1882,1880,1758,800,1679,1012])).
% 172.55/172.34 cnf(11644,plain,
% 172.55/172.34 (~P4(x116441,x116442,f16(f114(x116441,a1),f6(f114(x116441,a1),f2(f114(f114(x116441,a1),a1))),f19(a109,f23(f114(a109,a1)),a113)))),
% 172.55/172.34 inference(rename_variables,[],[4052])).
% 172.55/172.34 cnf(11662,plain,
% 172.55/172.34 (E(f5(a110,f13(a110,f13(a110,x116621,x116622),x116623),x116621),f13(a110,x116622,x116623))),
% 172.55/172.34 inference(rename_variables,[],[11069])).
% 172.55/172.34 cnf(11665,plain,
% 172.55/172.34 (~E(f13(a110,x116651,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(a110)),f4(a109)),f4(a109))))),x116651)),
% 172.55/172.34 inference(rename_variables,[],[10156])).
% 172.55/172.34 cnf(11677,plain,
% 172.55/172.34 (P5(f114(x116771,a1),f14(f114(x116772,a1),f14(f114(x116772,a1),f19(a109,f23(f114(a109,a1)),a113),x116773),f19(a109,f23(f114(a109,a1)),a113)),x116774)),
% 172.55/172.34 inference(rename_variables,[],[10055])).
% 172.55/172.34 cnf(11693,plain,
% 172.55/172.34 (P5(a111,f13(a111,f33(f33(f12(a111),f5(a111,x116931,x116931)),x116932),x116933),x116933)),
% 172.55/172.34 inference(rename_variables,[],[10414])).
% 172.55/172.34 cnf(11712,plain,
% 172.55/172.34 (~P5(a109,f47(x117121,a113,a109),x117121)),
% 172.55/172.34 inference(rename_variables,[],[8710])).
% 172.55/172.34 cnf(11716,plain,
% 172.55/172.34 (E(f5(a110,f13(a110,f13(a110,x117161,x117162),x117163),x117161),f13(a110,x117162,x117163))),
% 172.55/172.34 inference(rename_variables,[],[11069])).
% 172.55/172.34 cnf(11734,plain,
% 172.55/172.34 (E(f13(a110,x117341,f97(x117341,x117341,f14(f114(x117342,a1),f2(f114(x117343,a1)),f2(f114(x117343,a1))))),x117341)),
% 172.55/172.34 inference(rename_variables,[],[2244])).
% 172.55/172.34 cnf(11745,plain,
% 172.55/172.34 (E(f13(a110,x117451,f97(x117451,x117451,f14(f114(x117452,a1),f2(f114(x117453,a1)),f2(f114(x117453,a1))))),x117451)),
% 172.55/172.34 inference(rename_variables,[],[2244])).
% 172.55/172.34 cnf(11747,plain,
% 172.55/172.34 (E(f14(f114(x117471,a1),f14(f114(x117471,a1),f19(a109,f23(f114(a109,a1)),a113),x117472),f19(a109,f23(f114(a109,a1)),a113)),f2(f114(x117473,a1)))),
% 172.55/172.34 inference(rename_variables,[],[10087])).
% 172.55/172.34 cnf(11756,plain,
% 172.55/172.34 (P5(a110,x117561,f33(f33(f12(a110),f13(a110,f13(a110,x117562,x117561),x117563)),f13(a110,f13(a110,x117562,x117561),x117563)))),
% 172.55/172.34 inference(scs_inference,[],[753,10087,1996,8079,10113,10863,10772,10045,10405,10055,11069,11603,11662,11716,5070,10403,10522,8814,5134,8347,7929,6982,7797,2207,8710,11279,2025,2170,8282,11291,11506,11543,5902,11545,5273,2242,1989,11184,5731,2244,11734,4052,5049,11574,10731,10722,5330,10331,5247,5227,8346,11440,6088,7836,6988,10676,10712,10715,10553,10423,11181,11232,11349,7866,11483,11488,8677,8691,10333,8673,11095,10653,10875,8536,10138,11299,8387,8671,6144,10156,10352,7838,7812,10356,7311,8860,7292,7281,10529,10068,10572,11466,11066,10340,10075,7313,5743,5742,7049,7653,10332,3427,11113,10351,9194,8362,10129,10136,10181,10375,7495,2054,8685,11396,5359,4857,8971,7858,5800,3445,5360,8489,7200,4576,8235,7760,5261,8875,6228,8209,8106,3295,5241,3302,6293,11272,3277,3283,3316,3297,3322,8602,10084,8614,9562,11010,10962,11005,9527,8273,7737,9351,10800,10236,7471,10688,3413,10377,10620,10667,10225,10306,4352,7493,10509,10633,10396,10907,10818,7978,6654,10238,10230,10947,10151,10263,11213,11326,10641,10365,11222,11376,10414,11612,8290,10081,10141,10245,11091,10091,10102,11311,10611,10392,10878,4593,10448,8495,10429,10737,11249,10742,10096,5759,10117,10411,10835,10183,10916,8983,9176,9378,8382,8043,8388,8481,8510,6774,11258,7862,2328,5814,2937,4374,5953,2443,2120,9332,6004,3580,563,6477,3641,455,564,480,388,587,11463,493,478,425,536,397,413,501,392,477,467,394,385,409,383,556,444,503,603,502,518,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075,1230,1262,971,1242,1811,1001,1606,1018,1363,1452,1000,1661,1156,1231,1770,1154,1688,1456,1869,1335,957,1885,1523,1073,1100,1142,1882,1880,1758,800,1679,1012,1329,1235,1673,997,1881,1848,1097,1639,1843,925,1237,1208,917,1361,1201,1238,1451,1095,1339,1831,1147,1157,1588,1038,1362,1590,911,1455,1145,335,310,348,311,306,851,1640,1010,284,312,368,1334,1450,1844,1233,1319,1074,272,356,1340,1524,298,1671,1675])).
% 172.55/172.34 cnf(11784,plain,
% 172.55/172.34 (~E(f13(f13(a110,f3(a110),a109),x117841,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(f13(a110,f3(a110),a109))),f4(a109)),f4(a109))))),x117841)),
% 172.55/172.34 inference(rename_variables,[],[10423])).
% 172.55/172.34 cnf(11787,plain,
% 172.55/172.34 (P6(a109,f33(f33(f12(a109),f3(a109)),f29(a110,f104(f29(a110,f96(f3(a109))),f3(a109)))),f33(f33(f12(a109),f29(a110,f104(f29(a110,f96(f3(a109))),f3(a109)))),f29(a110,f104(f29(a110,f96(f3(a109))),f3(a109)))))),
% 172.55/172.34 inference(scs_inference,[],[753,10087,11747,1996,8079,10113,10863,10772,10045,10405,10055,11069,11603,11662,11716,5070,10403,10522,8814,5134,8347,7929,6982,7797,2207,8710,11279,2025,2170,8282,11291,11506,11543,5902,11545,5273,2242,1989,11184,5731,2244,11734,4052,11644,5049,11574,10731,10722,5330,10331,5247,5227,8346,11440,6088,7836,6988,10676,10712,10715,10553,10423,11181,11232,11349,11415,7866,11483,11488,8677,8691,10333,8207,8673,11095,10653,10875,8536,10138,11299,8387,8671,6144,10156,10352,7838,7812,10356,7311,8860,7292,7281,10529,10068,10359,10572,11466,11066,10340,10075,7313,5743,5742,7049,7653,10332,3427,11113,10351,9194,8362,10129,10136,10181,10375,7495,2054,8685,11396,5359,4857,8971,7858,5800,3445,5360,5265,8489,7200,4576,8235,7760,5261,8875,8091,6228,8209,8106,3295,5241,3302,6293,11272,3277,5788,3283,3316,3297,3322,8602,10084,8614,9562,11010,10962,11005,9527,8273,7737,9351,10800,10236,7471,10688,3413,10377,10620,10667,8024,10225,10306,10268,4352,7493,10509,10633,10396,10907,10818,7978,6654,10238,10230,10282,10947,10151,10263,11213,11326,10641,10365,11222,11376,10414,11612,8290,10081,10141,10245,11590,11091,10544,10091,10102,11311,10611,10392,10878,11621,4593,10448,8495,10429,10737,11249,10742,9123,10096,5759,10117,10411,10835,10183,10916,8983,9176,9378,8382,8043,8388,8481,8510,6774,11258,7862,2328,5814,2937,4374,5953,2443,2120,9332,6004,3580,563,6477,3641,455,564,480,388,587,11463,493,478,425,536,397,413,501,392,477,467,394,385,409,383,556,444,503,603,502,518,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075,1230,1262,971,1242,1811,1001,1606,1018,1363,1452,1000,1661,1156,1231,1770,1154,1688,1456,1869,1335,957,1885,1523,1073,1100,1142,1882,1880,1758,800,1679,1012,1329,1235,1673,997,1881,1848,1097,1639,1843,925,1237,1208,917,1361,1201,1238,1451,1095,1339,1831,1147,1157,1588,1038,1362,1590,911,1455,1145,335,310,348,311,306,851,1640,1010,284,312,368,1334,1450,1844,1233,1319,1074,272,356,1340,1524,298,1671,1675,1449,281,1367,283,940,305,1159,1146,1360,1589,1404,939,1536])).
% 172.55/172.34 cnf(11791,plain,
% 172.55/172.34 (~P6(f114(x117911,a1),x117912,f18(x117913,f2(f114(x117911,a1)),f23(f114(x117913,a1))))),
% 172.55/172.34 inference(rename_variables,[],[4630])).
% 172.55/172.34 cnf(11792,plain,
% 172.55/172.34 (~E(f13(f13(a110,f3(a110),a109),x117921,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(f13(a110,f3(a110),a109))),f4(a109)),f4(a109))))),x117921)),
% 172.55/172.34 inference(rename_variables,[],[10423])).
% 172.55/172.34 cnf(11799,plain,
% 172.55/172.34 (P5(a110,f33(f33(f12(a109),f4(a109)),x117991),x117991)),
% 172.55/172.34 inference(rename_variables,[],[6228])).
% 172.55/172.34 cnf(11802,plain,
% 172.55/172.34 (~P5(a109,f47(x118021,a113,a109),x118021)),
% 172.55/172.34 inference(rename_variables,[],[8710])).
% 172.55/172.34 cnf(11804,plain,
% 172.55/172.34 (P5(f114(x118041,a1),f19(a111,f2(f114(a111,a1)),x118042),x118043)),
% 172.55/172.34 inference(rename_variables,[],[6176])).
% 172.55/172.34 cnf(11830,plain,
% 172.55/172.34 (E(f5(a110,f13(a110,f13(a110,x118301,x118302),x118303),x118301),f13(a110,x118302,x118303))),
% 172.55/172.34 inference(rename_variables,[],[11069])).
% 172.55/172.34 cnf(11851,plain,
% 172.55/172.34 (P2(f112(x118511))),
% 172.55/172.34 inference(rename_variables,[],[556])).
% 172.55/172.34 cnf(11866,plain,
% 172.55/172.34 (P5(a110,f33(f33(f12(a109),f4(a109)),x118661),x118661)),
% 172.55/172.34 inference(rename_variables,[],[6228])).
% 172.55/172.34 cnf(11871,plain,
% 172.55/172.34 (~E(x118711,f27(f13(a109,f29(a110,x118711),f4(a109))))),
% 172.55/172.34 inference(rename_variables,[],[8387])).
% 172.55/172.34 cnf(11879,plain,
% 172.55/172.34 (P5(a110,f33(f33(f12(a109),f4(a109)),x118791),x118791)),
% 172.55/172.34 inference(rename_variables,[],[6228])).
% 172.55/172.34 cnf(11885,plain,
% 172.55/172.34 (~P4(x118851,x118852,f7(f114(x118851,a1),f23(f114(f114(x118851,a1),a1))))),
% 172.55/172.34 inference(rename_variables,[],[8091])).
% 172.55/172.34 cnf(11919,plain,
% 172.55/172.34 (E(f5(a110,f13(a110,f13(a110,x119191,x119192),x119193),x119191),f13(a110,x119192,x119193))),
% 172.55/172.34 inference(rename_variables,[],[11069])).
% 172.55/172.34 cnf(11921,plain,
% 172.55/172.34 (E(f5(a110,f13(a110,f13(a110,x119211,x119212),x119213),x119211),f13(a110,x119212,x119213))),
% 172.55/172.34 inference(rename_variables,[],[11069])).
% 172.55/172.34 cnf(11923,plain,
% 172.55/172.34 (~P6(f112(x119231),f31(x119232,x119233,f16(f114(x119232,a1),x119234,x119235)),f16(f114(x119232,a1),f31(x119232,x119233,x119234),x119235))),
% 172.55/172.34 inference(rename_variables,[],[6818])).
% 172.55/172.34 cnf(11932,plain,
% 172.55/172.34 (E(x119321,f75(a109,f14(f114(a109,a1),x119322,f2(f114(a109,a1))),f31(a109,x119321,f2(f114(a109,a1)))))),
% 172.55/172.34 inference(rename_variables,[],[8282])).
% 172.55/172.34 cnf(11936,plain,
% 172.55/172.34 (E(x119361,f75(a109,f14(f114(a109,a1),x119362,f2(f114(a109,a1))),f31(a109,x119361,f2(f114(a109,a1)))))),
% 172.55/172.34 inference(rename_variables,[],[8282])).
% 172.55/172.34 cnf(11939,plain,
% 172.55/172.34 (~P5(a109,f47(x119391,a113,a109),x119391)),
% 172.55/172.34 inference(rename_variables,[],[8710])).
% 172.55/172.34 cnf(11957,plain,
% 172.55/172.34 (~E(f13(a110,x119571,f27(f16(a109,f6(a109,f23(f114(a109,a1))),f13(a109,f13(a109,f29(a110,f3(a110)),f4(a109)),f4(a109))))),x119571)),
% 172.55/172.34 inference(rename_variables,[],[10156])).
% 172.55/172.34 cnf(11960,plain,
% 172.55/172.34 (~P5(a109,f47(x119601,a113,a109),x119601)),
% 172.55/172.34 inference(rename_variables,[],[8710])).
% 172.55/172.34 cnf(11968,plain,
% 172.55/172.34 (P48(f112(x119681))),
% 172.55/172.34 inference(rename_variables,[],[558])).
% 172.55/172.34 cnf(11969,plain,
% 172.55/172.34 (P5(f112(x119691),f16(f114(x119692,a1),x119693,f5(f114(x119692,a1),x119694,x119693)),f16(f114(x119692,a1),x119693,x119694))),
% 172.55/172.34 inference(rename_variables,[],[7866])).
% 172.55/172.34 cnf(11998,plain,
% 172.55/172.34 (P5(a110,x119981,f13(a110,x119982,f33(f33(f12(a110),f13(a110,x119983,x119981)),f13(a110,x119983,x119981))))),
% 172.55/172.34 inference(rename_variables,[],[10081])).
% 172.55/172.34 cnf(12024,plain,
% 172.55/172.34 (P6(a111,x120241,f16(a111,x120242,f13(a111,x120241,f4(a111))))),
% 172.55/172.34 inference(rename_variables,[],[10102])).
% 172.55/172.34 cnf(12035,plain,
% 172.55/172.34 (P4(x120351,f79(f36(f4(a109)),f6(f114(x120352,a1),f16(f114(f114(x120352,a1),a1),f6(f114(f114(x120352,a1),a1),f2(f114(f114(f114(x120352,a1),a1),a1))),f19(a109,f23(f114(a109,a1)),a113))),f31(x120351,f5(a110,f13(a110,f3(a109),x120353),x120353),x120354),x120351),f31(x120351,f5(a110,f13(a110,f3(a109),x120353),x120353),x120354))),
% 172.55/172.34 inference(rename_variables,[],[10863])).
% 172.55/172.34 cnf(12039,plain,
% 172.55/172.34 (P6(a111,x120391,f16(a111,x120392,f13(a111,x120391,f4(a111))))),
% 172.55/172.34 inference(rename_variables,[],[10102])).
% 172.55/172.34 cnf(12047,plain,
% 172.55/172.34 (P5(a111,x120471,f16(a111,x120472,x120471))),
% 172.55/172.34 inference(rename_variables,[],[4645])).
% 172.55/172.34 cnf(12072,plain,
% 172.55/172.34 (P5(a111,x120721,f16(a111,x120722,x120721))),
% 172.55/172.34 inference(rename_variables,[],[4645])).
% 172.55/172.34 cnf(12080,plain,
% 172.55/172.34 (~E(f14(f114(f3(a110),a1),f36(f2(f114(a111,a1))),f31(f2(a110),f19(a109,f23(f114(a109,a1)),a113),x120801)),f2(f114(f3(a110),a1)))),
% 172.55/172.34 inference(scs_inference,[],[753,10087,11747,1996,5978,8079,10488,10113,10863,12035,10772,11101,10045,10405,10055,11677,11069,11603,11662,11716,11830,11919,11921,5070,10403,10522,8814,5134,3072,8347,7929,5437,6982,7797,6176,11804,2207,11493,6013,5652,8710,11279,11712,11802,11939,11960,2025,2170,2205,8282,11291,11506,11543,11932,11936,5902,11545,5273,4767,2242,1989,11184,5731,6863,2244,11734,11745,5153,4052,11644,5049,11574,10731,10722,5343,5330,10331,5247,5227,8346,11440,6088,5215,9321,7836,6988,10355,10556,10676,10686,10712,10715,10553,10423,11181,11232,11349,11415,11784,11792,6818,11923,7866,11483,11488,11582,7609,10039,10041,10044,8000,7271,8195,8677,8691,10333,8207,8673,11095,10653,10875,8536,10138,11299,11388,8316,8387,11556,11871,8671,7799,6144,10156,11665,11957,10352,8200,7838,7812,10356,7311,8860,7292,7281,10529,10068,10359,8222,10572,11466,8667,11066,8668,10339,10340,7301,10075,7313,5743,5742,7049,7653,10332,10320,3427,11113,4112,10351,9194,8362,10129,10136,10181,10375,7495,11071,2054,7830,9320,9298,8685,11396,5359,2060,4857,8971,7858,5800,9400,9403,9616,8657,8475,8214,2776,3445,5360,5265,5209,9518,6077,8489,7200,7557,4576,8235,8244,7760,2035,6301,3308,3298,5261,5259,3281,5790,8875,4630,11791,8091,11885,6306,6228,11799,11866,11879,6220,8209,8106,3295,6296,5241,3261,3302,6293,11272,1947,3313,3277,4858,5938,5788,6290,6282,3320,3283,3316,5053,3297,3322,3307,1911,7942,8602,10479,10084,8826,11044,8614,9562,9564,10435,11010,10964,9273,9288,10857,10962,11005,9264,9527,10665,8273,7737,9351,10800,10669,10236,7471,10648,10688,3413,10377,10620,10667,8024,10225,10306,10268,4352,7493,7994,10509,11110,5779,7667,10633,10899,10396,10907,10818,7978,3241,6654,10238,10507,10936,7210,10230,10282,10947,10151,10162,10263,11213,11326,10641,10365,11222,11376,11470,10451,7980,10414,11612,11693,8290,10081,11604,10141,10245,11590,11091,10544,10126,10091,10102,11311,11459,12024,10611,10392,10878,11621,4593,10448,11344,8495,10429,10737,11249,10742,9123,10096,5759,10117,10411,10835,10183,10916,5893,8983,10925,9176,10944,9378,11125,8187,9121,8382,9376,8043,8388,8481,8510,9531,6774,11258,7862,8706,9011,2328,5814,2937,4374,9858,5953,2443,2120,9332,5832,2801,3805,8133,6004,3580,563,6477,11600,4645,12047,3641,5669,455,564,480,2867,558,388,2455,578,454,535,587,11463,11639,431,731,493,478,559,747,425,390,536,397,413,491,501,391,392,477,525,393,446,467,394,508,385,409,506,384,383,556,11851,444,503,603,502,596,519,518,594,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075,1230,1262,971,1242,1811,1001,1606,1018,1363,1452,1000,1661,1156,1231,1770,1154,1688,1456,1869,1335,957,1885,1523,1073,1100,1142,1882,1880,1758,800,1679,1012,1329,1235,1673,997,1881,1848,1097,1639,1843,925,1237,1208,917,1361,1201,1238,1451,1095,1339,1831,1147,1157,1588,1038,1362,1590,911,1455,1145,335,310,348,311,306,851,1640,1010,284,312,368,1334,1450,1844,1233,1319,1074,272,356,1340,1524,298,1671,1675,1449,281,1367,283,940,305,1159,1146,1360,1589,1404,939,1536,333,1133,1234,278,1680,292,1773,1094,1215,288,1039,802,1236,349,1228,1158,1254,1682,355,1895,1833,357,1879,1267,1573,276,321,1792,1842,1558,336,367,1343,1594,1662,1876,910,1083,1868,1091,1243,1250,334,1906,1089,1541,1098,834,1677,1090,1345,1341,1390,1249,1337,317,3,1454,293,279,290,339,287,286,282,280,299,344,297,347,308,304,291,277,345,1463,1459,1518,965,1614,931,1434,1485,1479,1170,1027,1612,1809,1477,1176,1411,967,1433,1172,1430,1855,1402,1302,1515,1106,1167,1815,1489,1613,1025,1799,1173,1896,1571,1280,1650,1168,1357,1473,1634,1726,1177,1457,1174,1112,1616,1617,1166,966,1857,1405])).
% 172.55/172.34 cnf(12090,plain,
% 172.55/172.34 (P6(a111,x120901,f16(a111,x120902,f13(a111,x120901,f4(a111))))),
% 172.55/172.34 inference(rename_variables,[],[10102])).
% 172.55/172.34 cnf(12093,plain,
% 172.55/172.34 (P6(a111,x120931,f16(a111,x120932,f13(a111,x120931,f4(a111))))),
% 172.55/172.34 inference(rename_variables,[],[10102])).
% 172.55/172.34 cnf(12108,plain,
% 172.55/172.34 (P5(f112(x121081),f16(f114(x121082,a1),x121083,f5(f114(x121082,a1),x121084,x121083)),f16(f114(x121082,a1),x121083,x121084))),
% 172.55/172.34 inference(rename_variables,[],[7866])).
% 172.55/172.34 cnf(12109,plain,
% 172.55/172.34 (P48(f112(x121091))),
% 172.55/172.34 inference(rename_variables,[],[558])).
% 172.55/172.34 cnf(12138,plain,
% 172.55/172.34 (P78(f33(f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1)),f60(f14(f114(f114(a109,a1),a1),f89(f23(f114(f114(a109,a1),a1)),f30(f114(a109,a1),f30(a109,f3(a110))),f114(a109,a1)),f23(f114(f114(a109,a1),a1))))))),
% 172.55/172.34 inference(scs_inference,[],[753,10087,11747,1996,5978,8079,10488,10113,10863,12035,10772,11101,10045,10405,10055,11677,11069,11603,11662,11716,11830,11919,11921,5070,10403,10522,8814,5134,3072,8347,7929,5437,6982,7797,6176,11804,2207,11493,6013,5652,8710,11279,11712,11802,11939,11960,2025,2170,2205,8282,11291,11506,11543,11932,11936,5902,11545,5273,4767,2242,1989,11184,5731,6863,2244,11734,11745,5153,4052,11644,5049,11574,10731,10722,5343,5330,10331,5247,5227,8346,11440,6088,5215,9321,7836,6988,10355,10556,10676,10686,10712,10715,10553,10423,11181,11232,11349,11415,11784,11792,6818,11923,7853,7866,11483,11488,11582,11969,12108,7609,10039,10041,10044,8000,7271,8195,8677,8691,10333,8207,8673,11095,10653,10875,8536,10138,11299,11388,8316,8387,11556,11871,8671,7799,6144,10156,11665,11957,10352,8200,7838,7812,10356,7311,8860,7292,7281,10529,10068,10359,8222,10572,11466,8667,11066,8668,10339,10340,7301,10075,7313,5743,5742,7049,7653,10332,10320,3427,11113,4112,10351,9194,8362,10129,10136,10181,10375,7495,11071,2054,7830,9320,9298,8685,11396,5359,2060,4857,8971,7858,5800,9400,9403,9616,8657,8475,8214,2776,3445,5360,5265,5209,9518,6077,8489,7200,7557,4576,8235,8244,7760,2035,6301,3308,3298,5261,5259,3281,5790,8875,4630,11791,8091,11885,6306,6228,11799,11866,11879,6220,8209,8106,3295,6296,5241,3261,3302,6293,11272,1947,3313,3279,3277,4858,5938,5788,4635,6290,6282,3320,3283,3316,5053,3297,3322,3307,1911,7942,8602,10479,10084,8826,11044,8614,9562,9564,10435,11010,10964,9273,9288,10857,10962,8735,11005,9264,9527,10665,8273,7737,9351,10800,10669,10236,7471,10648,10066,10688,3413,10377,10620,10667,8024,10225,10306,10268,4352,7493,7994,10509,11110,5779,7667,10633,10899,10396,10907,10818,7978,3241,6654,10238,10507,10936,7210,10230,10282,10947,10151,10162,10263,11213,11326,10641,10365,11222,11376,11470,10451,7980,10414,11612,11693,8290,10081,11604,11998,10141,10245,11590,11091,10544,10126,10091,10102,11311,11459,12024,12039,12090,12093,10611,10392,10878,11621,4593,10448,11344,8495,10429,10737,11249,10742,9123,10096,5759,10117,10411,10835,10183,10916,5893,8983,7391,10925,9176,10944,9378,11125,8187,8050,9121,8382,9252,9376,8043,8388,8481,8510,9531,6774,11258,7862,2849,8706,9011,2328,6131,5814,2937,4374,9558,9858,5953,2187,2443,2120,9332,11577,5832,2801,3805,8133,6004,3580,563,6477,11600,4645,12047,12072,514,3641,5669,455,564,480,2867,558,11968,12109,388,2455,578,454,535,587,11463,11639,431,731,493,478,526,559,747,425,390,536,397,580,413,491,501,391,392,477,525,393,446,467,394,508,385,409,506,384,383,556,11851,444,527,503,603,502,596,519,518,594,382,815,842,820,1128,1072,980,1327,1211,1048,1054,1511,42,1122,888,1055,874,1221,1084,1325,1658,1195,990,1189,1321,902,1561,922,991,785,895,985,1655,1138,1049,1416,1057,881,1358,1532,1326,1041,1198,900,1514,1417,833,1308,1490,993,1047,1312,780,1756,890,896,983,936,1258,775,883,1107,1425,1005,904,935,901,1560,1311,1218,1020,952,1418,16,832,1324,15,1217,1137,1534,937,1332,1216,1191,868,1019,1288,1085,889,1423,1513,1435,1533,1531,1002,1058,21,1183,972,2,1102,1162,1656,20,892,1220,1108,1139,1387,933,897,1657,1197,934,783,979,1567,1193,1331,43,6,48,1775,1731,1403,1584,1586,1645,840,1543,1587,918,1206,1774,1899,919,1246,1239,1530,1240,1697,1080,1669,1819,1820,1738,1810,1890,1812,1260,1400,1036,1813,1498,839,1366,824,1023,1807,1389,1050,1759,1724,1022,351,327,302,959,1814,1392,301,1155,1229,1075,1230,1262,971,1242,1811,1001,1606,1018,1363,1452,1000,1661,1156,1231,1770,1154,1688,1456,1869,1335,957,1885,1523,1073,1100,1142,1882,1880,1758,800,1679,1012,1329,1235,1673,997,1881,1848,1097,1639,1843,925,1237,1208,917,1361,1201,1238,1451,1095,1339,1831,1147,1157,1588,1038,1362,1590,911,1455,1145,335,310,348,311,306,851,1640,1010,284,312,368,1334,1450,1844,1233,1319,1074,272,356,1340,1524,298,1671,1675,1449,281,1367,283,940,305,1159,1146,1360,1589,1404,939,1536,333,1133,1234,278,1680,292,1773,1094,1215,288,1039,802,1236,349,1228,1158,1254,1682,355,1895,1833,357,1879,1267,1573,276,321,1792,1842,1558,336,367,1343,1594,1662,1876,910,1083,1868,1091,1243,1250,334,1906,1089,1541,1098,834,1677,1090,1345,1341,1390,1249,1337,317,3,1454,293,279,290,339,287,286,282,280,299,344,297,347,308,304,291,277,345,1463,1459,1518,965,1614,931,1434,1485,1479,1170,1027,1612,1809,1477,1176,1411,967,1433,1172,1430,1855,1402,1302,1515,1106,1167,1815,1489,1613,1025,1799,1173,1896,1571,1280,1650,1168,1357,1473,1634,1726,1177,1457,1174,1112,1616,1617,1166,966,1857,1405,1484,1668,1461,1165,1751,1517,1753,1431,1749,1134,1577,1169,1355,1483,1469,1470,1304,1303,1781,1777,1735])).
% 172.55/172.34 cnf(12389,plain,
% 172.55/172.34 (~P5(a111,x123891,f5(a111,f33(f33(f12(a109),f4(a109)),x123891),f4(a111)))),
% 172.55/172.34 inference(rename_variables,[],[11560])).
% 172.55/172.34 cnf(12433,plain,
% 172.55/172.34 (~E(f22(f13(a109,f29(a110,f13(a110,f5(a110,x124331,f3(a110)),f3(a110))),f4(a109))),x124331)),
% 172.55/172.34 inference(rename_variables,[],[11400])).
% 172.55/172.34 cnf(12513,plain,
% 172.55/172.34 ($false),
% 172.55/172.34 inference(scs_inference,[],[753,5978,12138,11599,11328,8015,10055,11069,8158,5273,1989,7019,11392,11293,11400,12433,12080,11287,10258,5935,3799,6144,2413,6492,10136,11264,11183,10816,7751,11584,11229,11787,11343,11756,2126,10227,11351,9346,7824,11560,12389,10517,11641,7604,811,1161,1424,1055,1004,874,1734,888,922,1041,903,1655,1259,1212,991,881,1084,1561,995,1195,8,993,1049,756,900,1005,1189,1122,895,780,1419,1514,1198,1532,890,1320,883,1128,868,1735,936,990,1332,1308,1416,1490,1417,1057,1138,1418,897,1325,985,896,1220,902]),
% 172.55/172.34 ['proof']).
% 172.55/172.35 % SZS output end Proof
% 172.55/172.35 % Total time :170.760000s
%------------------------------------------------------------------------------