TSTP Solution File: SWW967+1 by CSE---1.7
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW967+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 : Mon Jun 24 18:10:39 EDT 2024
% Result : Theorem 43.77s 43.84s
% Output : CNFRefutation 43.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW967+1 : TPTP v8.2.0. Released v7.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 06:17:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.60/0.65 start to proof:theBenchmark
% 43.66/43.81 %-------------------------------------------
% 43.66/43.81 % File :CSE---1.7
% 43.66/43.81 % Problem :theBenchmark
% 43.66/43.81 % Transform :cnf
% 43.66/43.81 % Format :tptp:raw
% 43.66/43.81 % Command :java -jar mcs_scs.jar %d %s
% 43.66/43.81
% 43.66/43.81 % Result :Theorem 43.020000s
% 43.66/43.81 % Output :CNFRefutation 43.020000s
% 43.66/43.81 %-------------------------------------------
% 43.66/43.82 %--------------------------------------------------------------------------
% 43.66/43.82 % File : SWW967+1 : TPTP v8.2.0. Released v7.4.0.
% 43.66/43.82 % Domain : Software Verification
% 43.66/43.82 % Problem : Attack on a variant of Needham-Schroeder Symmetric Key Protocol
% 43.66/43.82 % Version : [LT19] axioms : Especial.
% 43.66/43.82 % English : Uses CBC. Attack demonstrates an impersonation attack.
% 43.66/43.82
% 43.66/43.82 % Refs : [BO97] Bull & Otway (1997), The Authentication Protocol
% 43.66/43.82 % : [RS98] Ryan & Schneider (1998), An Attack on a Recursive Auth
% 43.66/43.82 % : [LT19] Li & Tiu (2019), Combining ProVerif and Automated Theo
% 43.66/43.82 % : [Li20] Li (2020), Email to Geoff Sutcliffe
% 43.66/43.82 % Source : [Li20]
% 43.66/43.82 % Names : NS-CBC-alive.p [LT20]
% 43.66/43.82
% 43.66/43.82 % Status : Theorem
% 43.66/43.82 % Rating : 0.42 v8.2.0, 0.39 v8.1.0, 0.36 v7.5.0, 0.44 v7.4.0
% 43.66/43.82 % Syntax : Number of formulae : 175 ( 99 unt; 0 def)
% 43.66/43.82 % Number of atoms : 297 ( 83 equ)
% 43.66/43.82 % Maximal formula atoms : 9 ( 1 avg)
% 43.66/43.82 % Number of connectives : 188 ( 66 ~; 0 |; 46 &)
% 43.66/43.82 % ( 0 <=>; 76 =>; 0 <=; 0 <~>)
% 43.66/43.82 % Maximal formula depth : 14 ( 3 avg)
% 43.66/43.82 % Maximal term depth : 7 ( 1 avg)
% 43.66/43.82 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty)
% 43.66/43.82 % Number of functors : 59 ( 59 usr; 14 con; 0-5 aty)
% 43.66/43.82 % Number of variables : 217 ( 217 !; 0 ?)
% 43.66/43.82 % SPC : FOF_THM_RFO_SEQ
% 43.66/43.82
% 43.66/43.82 % Comments : Generated by a modified version of ProVerif used in the
% 43.66/43.82 % ProVerif-ATP project [LT19].
% 43.66/43.82 %--------------------------------------------------------------------------
% 43.66/43.82 fof(ax0,axiom,
% 43.66/43.82 constr_CONST_0x30 != constr_CONST_1 ).
% 43.66/43.82
% 43.66/43.82 fof(ax1,axiom,
% 43.66/43.82 constr_CONST_0x30 != constr_CONST_2 ).
% 43.66/43.82
% 43.66/43.82 fof(ax2,axiom,
% 43.66/43.82 constr_CONST_0x30 != constr_CONST_3 ).
% 43.66/43.82
% 43.66/43.82 fof(ax3,axiom,
% 43.66/43.82 constr_CONST_0x30 != constr_CONST_4 ).
% 43.66/43.82
% 43.66/43.82 fof(ax4,axiom,
% 43.66/43.82 constr_CONST_0x30 != name_A ).
% 43.66/43.82
% 43.66/43.82 fof(ax5,axiom,
% 43.66/43.82 constr_CONST_0x30 != name_B ).
% 43.66/43.82
% 43.66/43.82 fof(ax6,axiom,
% 43.66/43.82 constr_CONST_0x30 != name_I ).
% 43.66/43.82
% 43.66/43.82 fof(ax7,axiom,
% 43.66/43.82 constr_CONST_0x30 != name_Kas ).
% 43.66/43.82
% 43.66/43.82 fof(ax8,axiom,
% 43.66/43.82 constr_CONST_0x30 != name_Kbs ).
% 43.66/43.82
% 43.66/43.82 fof(ax9,axiom,
% 43.66/43.82 constr_CONST_0x30 != name_c ).
% 43.66/43.82
% 43.66/43.82 fof(ax10,axiom,
% 43.66/43.82 constr_CONST_0x30 != name_objective ).
% 43.66/43.82
% 43.66/43.82 fof(ax11,axiom,
% 43.66/43.82 constr_CONST_1 != constr_CONST_2 ).
% 43.66/43.82
% 43.66/43.82 fof(ax12,axiom,
% 43.66/43.82 constr_CONST_1 != constr_CONST_3 ).
% 43.66/43.82
% 43.66/43.82 fof(ax13,axiom,
% 43.66/43.82 constr_CONST_1 != constr_CONST_4 ).
% 43.66/43.82
% 43.66/43.82 fof(ax14,axiom,
% 43.66/43.82 constr_CONST_1 != name_A ).
% 43.66/43.82
% 43.66/43.82 fof(ax15,axiom,
% 43.66/43.82 constr_CONST_1 != name_B ).
% 43.66/43.82
% 43.66/43.82 fof(ax16,axiom,
% 43.66/43.82 constr_CONST_1 != name_I ).
% 43.66/43.82
% 43.66/43.82 fof(ax17,axiom,
% 43.66/43.82 constr_CONST_1 != name_Kas ).
% 43.66/43.82
% 43.66/43.82 fof(ax18,axiom,
% 43.66/43.82 constr_CONST_1 != name_Kbs ).
% 43.66/43.82
% 43.66/43.82 fof(ax19,axiom,
% 43.66/43.82 constr_CONST_1 != name_c ).
% 43.66/43.82
% 43.66/43.82 fof(ax20,axiom,
% 43.66/43.82 constr_CONST_1 != name_objective ).
% 43.66/43.82
% 43.66/43.82 fof(ax21,axiom,
% 43.66/43.82 constr_CONST_2 != constr_CONST_3 ).
% 43.66/43.82
% 43.66/43.82 fof(ax22,axiom,
% 43.66/43.82 constr_CONST_2 != constr_CONST_4 ).
% 43.66/43.82
% 43.66/43.82 fof(ax23,axiom,
% 43.66/43.82 constr_CONST_2 != name_A ).
% 43.66/43.82
% 43.66/43.82 fof(ax24,axiom,
% 43.66/43.82 constr_CONST_2 != name_B ).
% 43.66/43.82
% 43.66/43.82 fof(ax25,axiom,
% 43.66/43.82 constr_CONST_2 != name_I ).
% 43.66/43.82
% 43.66/43.82 fof(ax26,axiom,
% 43.66/43.82 constr_CONST_2 != name_Kas ).
% 43.66/43.82
% 43.66/43.82 fof(ax27,axiom,
% 43.66/43.82 constr_CONST_2 != name_Kbs ).
% 43.66/43.82
% 43.66/43.82 fof(ax28,axiom,
% 43.66/43.82 constr_CONST_2 != name_c ).
% 43.66/43.82
% 43.66/43.82 fof(ax29,axiom,
% 43.66/43.82 constr_CONST_2 != name_objective ).
% 43.66/43.82
% 43.66/43.82 fof(ax30,axiom,
% 43.66/43.82 constr_CONST_3 != constr_CONST_4 ).
% 43.66/43.82
% 43.66/43.82 fof(ax31,axiom,
% 43.66/43.82 constr_CONST_3 != name_A ).
% 43.66/43.82
% 43.66/43.82 fof(ax32,axiom,
% 43.66/43.82 constr_CONST_3 != name_B ).
% 43.66/43.82
% 43.66/43.82 fof(ax33,axiom,
% 43.66/43.82 constr_CONST_3 != name_I ).
% 43.66/43.82
% 43.66/43.82 fof(ax34,axiom,
% 43.66/43.82 constr_CONST_3 != name_Kas ).
% 43.66/43.82
% 43.66/43.82 fof(ax35,axiom,
% 43.66/43.82 constr_CONST_3 != name_Kbs ).
% 43.66/43.82
% 43.66/43.82 fof(ax36,axiom,
% 43.66/43.82 constr_CONST_3 != name_c ).
% 43.66/43.82
% 43.66/43.82 fof(ax37,axiom,
% 43.66/43.82 constr_CONST_3 != name_objective ).
% 43.66/43.82
% 43.66/43.82 fof(ax38,axiom,
% 43.66/43.82 constr_CONST_4 != name_A ).
% 43.66/43.82
% 43.66/43.82 fof(ax39,axiom,
% 43.66/43.82 constr_CONST_4 != name_B ).
% 43.66/43.82
% 43.66/43.82 fof(ax40,axiom,
% 43.66/43.82 constr_CONST_4 != name_I ).
% 43.66/43.82
% 43.66/43.82 fof(ax41,axiom,
% 43.66/43.82 constr_CONST_4 != name_Kas ).
% 43.66/43.82
% 43.66/43.82 fof(ax42,axiom,
% 43.66/43.82 constr_CONST_4 != name_Kbs ).
% 43.66/43.82
% 43.66/43.82 fof(ax43,axiom,
% 43.66/43.82 constr_CONST_4 != name_c ).
% 43.66/43.82
% 43.66/43.82 fof(ax44,axiom,
% 43.66/43.82 constr_CONST_4 != name_objective ).
% 43.66/43.83
% 43.66/43.83 fof(ax45,axiom,
% 43.66/43.83 name_A != name_B ).
% 43.66/43.83
% 43.66/43.83 fof(ax46,axiom,
% 43.66/43.83 name_A != name_I ).
% 43.66/43.83
% 43.66/43.83 fof(ax47,axiom,
% 43.66/43.83 name_A != name_Kas ).
% 43.66/43.83
% 43.66/43.83 fof(ax48,axiom,
% 43.66/43.83 name_A != name_Kbs ).
% 43.66/43.83
% 43.66/43.83 fof(ax49,axiom,
% 43.66/43.83 name_A != name_c ).
% 43.66/43.83
% 43.66/43.83 fof(ax50,axiom,
% 43.66/43.83 name_A != name_objective ).
% 43.66/43.83
% 43.66/43.83 fof(ax51,axiom,
% 43.66/43.83 name_B != name_I ).
% 43.66/43.83
% 43.66/43.83 fof(ax52,axiom,
% 43.66/43.83 name_B != name_Kas ).
% 43.66/43.83
% 43.66/43.83 fof(ax53,axiom,
% 43.66/43.83 name_B != name_Kbs ).
% 43.66/43.83
% 43.66/43.83 fof(ax54,axiom,
% 43.66/43.83 name_B != name_c ).
% 43.66/43.83
% 43.66/43.83 fof(ax55,axiom,
% 43.66/43.83 name_B != name_objective ).
% 43.66/43.83
% 43.66/43.83 fof(ax56,axiom,
% 43.66/43.83 name_I != name_Kas ).
% 43.66/43.83
% 43.66/43.83 fof(ax57,axiom,
% 43.66/43.83 name_I != name_Kbs ).
% 43.66/43.83
% 43.66/43.83 fof(ax58,axiom,
% 43.66/43.83 name_I != name_c ).
% 43.66/43.83
% 43.66/43.83 fof(ax59,axiom,
% 43.66/43.83 name_I != name_objective ).
% 43.66/43.83
% 43.66/43.83 fof(ax60,axiom,
% 43.66/43.83 name_Kas != name_Kbs ).
% 43.66/43.83
% 43.66/43.83 fof(ax61,axiom,
% 43.66/43.83 name_Kas != name_c ).
% 43.66/43.83
% 43.66/43.83 fof(ax62,axiom,
% 43.66/43.83 name_Kas != name_objective ).
% 43.66/43.83
% 43.66/43.83 fof(ax63,axiom,
% 43.66/43.83 name_Kbs != name_c ).
% 43.66/43.83
% 43.66/43.83 fof(ax64,axiom,
% 43.66/43.83 name_Kbs != name_objective ).
% 43.66/43.83
% 43.66/43.83 fof(ax65,axiom,
% 43.66/43.83 name_c != name_objective ).
% 43.66/43.83
% 43.66/43.83 fof(ax66,axiom,
% 43.66/43.83 ! [VAR_K_62,VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61] : constr_cbc_dec_4(constr_cbc_enc_4(VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61,VAR_K_62),VAR_K_62) = tuple_4(VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61) ).
% 43.66/43.83
% 43.66/43.83 fof(ax67,axiom,
% 43.66/43.83 ! [VAR_K_57,VAR_X0X30_54,VAR_X1_55,VAR_X2_56] : constr_cbc_dec_3(constr_cbc_enc_3(VAR_X0X30_54,VAR_X1_55,VAR_X2_56,VAR_K_57),VAR_K_57) = tuple_3(VAR_X0X30_54,VAR_X1_55,VAR_X2_56) ).
% 43.66/43.83
% 43.66/43.83 fof(ax68,axiom,
% 43.66/43.83 ! [VAR_K_53,VAR_X0X30_51,VAR_X1_52] : constr_cbc_dec_2(constr_cbc_enc_2(VAR_X0X30_51,VAR_X1_52,VAR_K_53),VAR_K_53) = tuple_2(VAR_X0X30_51,VAR_X1_52) ).
% 43.66/43.83
% 43.66/43.83 fof(ax69,axiom,
% 43.66/43.83 ! [VAR_K_50X30,VAR_X0X30_49] : constr_cbc_dec_1(constr_cbc_enc_1(VAR_X0X30_49,VAR_K_50X30),VAR_K_50X30) = VAR_X0X30_49 ).
% 43.66/43.83
% 43.66/43.83 fof(ax70,axiom,
% 43.66/43.83 ! [VAR_K_48,VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_X3_47] : constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_X3_47,VAR_K_48)) = constr_cbc_enc_3(VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_K_48) ).
% 43.66/43.83
% 43.66/43.83 fof(ax71,axiom,
% 43.66/43.83 ! [VAR_K_43,VAR_X0X30_39,VAR_X1_40X30,VAR_X2_41,VAR_X3_42] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(VAR_X0X30_39,VAR_X1_40X30,VAR_X2_41,VAR_X3_42,VAR_K_43)) = constr_cbc_enc_2(VAR_X0X30_39,VAR_X1_40X30,VAR_K_43) ).
% 43.66/43.83
% 43.66/43.83 fof(ax72,axiom,
% 43.66/43.83 ! [VAR_K_38,VAR_X0X30_34,VAR_X1_35,VAR_X2_36,VAR_X3_37] : constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(VAR_X0X30_34,VAR_X1_35,VAR_X2_36,VAR_X3_37,VAR_K_38)) = constr_cbc_enc_1(VAR_X0X30_34,VAR_K_38) ).
% 43.66/43.83
% 43.66/43.83 fof(ax73,axiom,
% 43.66/43.83 ! [VAR_K_33,VAR_X0X30_30X30,VAR_X1_31,VAR_X2_32] : constr_cbc_3_get_2_prefixes(constr_cbc_enc_3(VAR_X0X30_30X30,VAR_X1_31,VAR_X2_32,VAR_K_33)) = constr_cbc_enc_2(VAR_X0X30_30X30,VAR_X1_31,VAR_K_33) ).
% 43.66/43.83
% 43.66/43.83 fof(ax74,axiom,
% 43.66/43.83 ! [VAR_K_29,VAR_X0X30_26,VAR_X1_27,VAR_X2_28] : constr_cbc_3_get_1_prefixes(constr_cbc_enc_3(VAR_X0X30_26,VAR_X1_27,VAR_X2_28,VAR_K_29)) = constr_cbc_enc_1(VAR_X0X30_26,VAR_K_29) ).
% 43.66/43.83
% 43.66/43.83 fof(ax75,axiom,
% 43.66/43.83 ! [VAR_K_25,VAR_X0X30_23,VAR_X1_24] : constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(VAR_X0X30_23,VAR_X1_24,VAR_K_25)) = constr_cbc_enc_1(VAR_X0X30_23,VAR_K_25) ).
% 43.66/43.83
% 43.66/43.83 fof(ax76,axiom,
% 43.66/43.83 ! [VAR_K_0X30,VAR_M_0X30] : constr_dec(constr_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30 ).
% 43.66/43.83
% 43.66/43.83 fof(ax77,axiom,
% 43.66/43.83 ! [VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21,VAR_X3_22] : constr_tuple_4_get_3_bitstring(tuple_4(VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21,VAR_X3_22)) = VAR_X3_22 ).
% 43.66/43.83
% 43.66/43.83 fof(ax78,axiom,
% 43.66/43.83 ! [VAR_X0X30_15,VAR_X1_16,VAR_X2_17,VAR_X3_18] : constr_tuple_4_get_2_bitstring(tuple_4(VAR_X0X30_15,VAR_X1_16,VAR_X2_17,VAR_X3_18)) = VAR_X2_17 ).
% 43.66/43.83
% 43.66/43.83 fof(ax79,axiom,
% 43.66/43.83 ! [VAR_X0X30_13,VAR_X1_14] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_13,VAR_X1_14)) = VAR_X0X30_13 ).
% 43.66/43.83
% 43.66/43.83 fof(ax80,axiom,
% 43.66/43.83 ! [VAR_X0X30_9,VAR_X1_10X30,VAR_X2_11,VAR_X3_12] : constr_tuple_4_get_1(tuple_4(VAR_X0X30_9,VAR_X1_10X30,VAR_X2_11,VAR_X3_12)) = VAR_X1_10X30 ).
% 43.66/43.83
% 43.66/43.83 fof(ax81,axiom,
% 43.66/43.83 ! [VAR_X0X30_7,VAR_X1_8,VAR_X2_0X30,VAR_X3_0X30] : constr_tuple_4_get_0x30(tuple_4(VAR_X0X30_7,VAR_X1_8,VAR_X2_0X30,VAR_X3_0X30)) = VAR_X0X30_7 ).
% 43.66/43.83
% 43.66/43.83 fof(ax82,axiom,
% 43.66/43.83 ! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X1_0X30 ).
% 43.66/43.83
% 43.66/43.83 fof(ax83,axiom,
% 43.66/43.83 ! [VAR_X_81,VAR_Y_82] : pred_eq_bitstring_bitstring(VAR_X_81,VAR_Y_82) ).
% 43.66/43.83
% 43.66/43.83 fof(ax84,axiom,
% 43.66/43.83 ! [VAR_V_88] :
% 43.66/43.83 ( pred_attacker(VAR_V_88)
% 43.66/43.83 => pred_attacker(constr_tuple_4_get_3_bitstring(VAR_V_88)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax85,axiom,
% 43.66/43.83 ! [VAR_V_90X30] :
% 43.66/43.83 ( pred_attacker(VAR_V_90X30)
% 43.66/43.83 => pred_attacker(constr_tuple_4_get_2_bitstring(VAR_V_90X30)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax86,axiom,
% 43.66/43.83 ! [VAR_V_92] :
% 43.66/43.83 ( pred_attacker(VAR_V_92)
% 43.66/43.83 => pred_attacker(constr_tuple_4_get_1(VAR_V_92)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax87,axiom,
% 43.66/43.83 ! [VAR_V_94] :
% 43.66/43.83 ( pred_attacker(VAR_V_94)
% 43.66/43.83 => pred_attacker(constr_tuple_4_get_0x30(VAR_V_94)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax88,axiom,
% 43.66/43.83 ! [VAR_V_96] :
% 43.66/43.83 ( pred_attacker(VAR_V_96)
% 43.66/43.83 => pred_attacker(constr_tuple_2_get_1(VAR_V_96)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax89,axiom,
% 43.66/43.83 ! [VAR_V_98] :
% 43.66/43.83 ( pred_attacker(VAR_V_98)
% 43.66/43.83 => pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_98)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax90,axiom,
% 43.66/43.83 pred_attacker(tuple_true) ).
% 43.66/43.83
% 43.66/43.83 fof(ax91,axiom,
% 43.66/43.83 ! [VAR_V_10X300X30] :
% 43.66/43.83 ( pred_attacker(VAR_V_10X300X30)
% 43.66/43.83 => pred_attacker(tuple_succ(VAR_V_10X300X30)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax92,axiom,
% 43.66/43.83 ! [VAR_V_10X303] :
% 43.66/43.83 ( pred_attacker(tuple_succ(VAR_V_10X303))
% 43.66/43.83 => pred_attacker(VAR_V_10X303) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax93,axiom,
% 43.66/43.83 ! [VAR_V_10X306] :
% 43.66/43.83 ( pred_attacker(VAR_V_10X306)
% 43.66/43.83 => pred_attacker(tuple_server_S_out_2(VAR_V_10X306)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax94,axiom,
% 43.66/43.83 ! [VAR_V_10X309] :
% 43.66/43.83 ( pred_attacker(tuple_server_S_out_2(VAR_V_10X309))
% 43.66/43.83 => pred_attacker(VAR_V_10X309) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax95,axiom,
% 43.66/43.83 ! [VAR_V_114,VAR_V_115,VAR_V_116] :
% 43.66/43.83 ( ( pred_attacker(VAR_V_114)
% 43.66/43.83 & pred_attacker(VAR_V_115)
% 43.66/43.83 & pred_attacker(VAR_V_116) )
% 43.66/43.83 => pred_attacker(tuple_server_S_in_1(VAR_V_114,VAR_V_115,VAR_V_116)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax96,axiom,
% 43.66/43.83 ! [VAR_V_129,VAR_V_130X30,VAR_V_131] :
% 43.66/43.83 ( pred_attacker(tuple_server_S_in_1(VAR_V_129,VAR_V_130X30,VAR_V_131))
% 43.66/43.83 => pred_attacker(VAR_V_129) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax97,axiom,
% 43.66/43.83 ! [VAR_V_133,VAR_V_134,VAR_V_135] :
% 43.66/43.83 ( pred_attacker(tuple_server_S_in_1(VAR_V_133,VAR_V_134,VAR_V_135))
% 43.66/43.83 => pred_attacker(VAR_V_134) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax98,axiom,
% 43.66/43.83 ! [VAR_V_137,VAR_V_138,VAR_V_139] :
% 43.66/43.83 ( pred_attacker(tuple_server_S_in_1(VAR_V_137,VAR_V_138,VAR_V_139))
% 43.66/43.83 => pred_attacker(VAR_V_139) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax99,axiom,
% 43.66/43.83 pred_attacker(tuple_false) ).
% 43.66/43.83
% 43.66/43.83 fof(ax100,axiom,
% 43.66/43.83 ! [VAR_V_144,VAR_V_145] :
% 43.66/43.83 ( ( pred_attacker(VAR_V_144)
% 43.66/43.83 & pred_attacker(VAR_V_145) )
% 43.66/43.83 => pred_attacker(constr_enc(VAR_V_144,VAR_V_145)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax101,axiom,
% 43.66/43.83 ! [VAR_V_148,VAR_V_149] :
% 43.66/43.83 ( ( pred_attacker(VAR_V_148)
% 43.66/43.83 & pred_attacker(VAR_V_149) )
% 43.66/43.83 => pred_attacker(constr_dec(VAR_V_148,VAR_V_149)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax102,axiom,
% 43.66/43.83 ! [VAR_V_151] :
% 43.66/43.83 ( pred_attacker(VAR_V_151)
% 43.66/43.83 => pred_attacker(tuple_client_B_out_2(VAR_V_151)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax103,axiom,
% 43.66/43.83 ! [VAR_V_154] :
% 43.66/43.83 ( pred_attacker(tuple_client_B_out_2(VAR_V_154))
% 43.66/43.83 => pred_attacker(VAR_V_154) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax104,axiom,
% 43.66/43.83 ! [VAR_V_157] :
% 43.66/43.83 ( pred_attacker(VAR_V_157)
% 43.66/43.83 => pred_attacker(tuple_client_B_in_3(VAR_V_157)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax105,axiom,
% 43.66/43.83 ! [VAR_V_160X30] :
% 43.66/43.83 ( pred_attacker(tuple_client_B_in_3(VAR_V_160X30))
% 43.66/43.83 => pred_attacker(VAR_V_160X30) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax106,axiom,
% 43.66/43.83 ! [VAR_V_163] :
% 43.66/43.83 ( pred_attacker(VAR_V_163)
% 43.66/43.83 => pred_attacker(tuple_client_B_in_1(VAR_V_163)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax107,axiom,
% 43.66/43.83 ! [VAR_V_166] :
% 43.66/43.83 ( pred_attacker(tuple_client_B_in_1(VAR_V_166))
% 43.66/43.83 => pred_attacker(VAR_V_166) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax108,axiom,
% 43.66/43.83 ! [VAR_V_169] :
% 43.66/43.83 ( pred_attacker(VAR_V_169)
% 43.66/43.83 => pred_attacker(tuple_client_A_out_9(VAR_V_169)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax109,axiom,
% 43.66/43.83 ! [VAR_V_172] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_out_9(VAR_V_172))
% 43.66/43.83 => pred_attacker(VAR_V_172) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax110,axiom,
% 43.66/43.83 ! [VAR_V_175] :
% 43.66/43.83 ( pred_attacker(VAR_V_175)
% 43.66/43.83 => pred_attacker(tuple_client_A_out_7(VAR_V_175)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax111,axiom,
% 43.66/43.83 ! [VAR_V_178] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_out_7(VAR_V_178))
% 43.66/43.83 => pred_attacker(VAR_V_178) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax112,axiom,
% 43.66/43.83 ! [VAR_V_181] :
% 43.66/43.83 ( pred_attacker(VAR_V_181)
% 43.66/43.83 => pred_attacker(tuple_client_A_out_5(VAR_V_181)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax113,axiom,
% 43.66/43.83 ! [VAR_V_184] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_out_5(VAR_V_184))
% 43.66/43.83 => pred_attacker(VAR_V_184) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax114,axiom,
% 43.66/43.83 ! [VAR_V_187] :
% 43.66/43.83 ( pred_attacker(VAR_V_187)
% 43.66/43.83 => pred_attacker(tuple_client_A_out_3(VAR_V_187)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax115,axiom,
% 43.66/43.83 ! [VAR_V_190X30] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_out_3(VAR_V_190X30))
% 43.66/43.83 => pred_attacker(VAR_V_190X30) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax116,axiom,
% 43.66/43.83 ! [VAR_V_195,VAR_V_196,VAR_V_197] :
% 43.66/43.83 ( ( pred_attacker(VAR_V_195)
% 43.66/43.83 & pred_attacker(VAR_V_196)
% 43.66/43.83 & pred_attacker(VAR_V_197) )
% 43.66/43.83 => pred_attacker(tuple_client_A_out_1(VAR_V_195,VAR_V_196,VAR_V_197)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax117,axiom,
% 43.66/43.83 ! [VAR_V_210X30,VAR_V_211,VAR_V_212] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_out_1(VAR_V_210X30,VAR_V_211,VAR_V_212))
% 43.66/43.83 => pred_attacker(VAR_V_210X30) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax118,axiom,
% 43.66/43.83 ! [VAR_V_214,VAR_V_215,VAR_V_216] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_out_1(VAR_V_214,VAR_V_215,VAR_V_216))
% 43.66/43.83 => pred_attacker(VAR_V_215) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax119,axiom,
% 43.66/43.83 ! [VAR_V_218,VAR_V_219,VAR_V_220X30] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_out_1(VAR_V_218,VAR_V_219,VAR_V_220X30))
% 43.66/43.83 => pred_attacker(VAR_V_220X30) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax120,axiom,
% 43.66/43.83 ! [VAR_V_223] :
% 43.66/43.83 ( pred_attacker(VAR_V_223)
% 43.66/43.83 => pred_attacker(tuple_client_A_in_8(VAR_V_223)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax121,axiom,
% 43.66/43.83 ! [VAR_V_226] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_in_8(VAR_V_226))
% 43.66/43.83 => pred_attacker(VAR_V_226) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax122,axiom,
% 43.66/43.83 ! [VAR_V_229] :
% 43.66/43.83 ( pred_attacker(VAR_V_229)
% 43.66/43.83 => pred_attacker(tuple_client_A_in_6(VAR_V_229)) ) ).
% 43.66/43.83
% 43.66/43.83 fof(ax123,axiom,
% 43.66/43.83 ! [VAR_V_232] :
% 43.66/43.83 ( pred_attacker(tuple_client_A_in_6(VAR_V_232))
% 43.66/43.83 => pred_attacker(VAR_V_232) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax124,axiom,
% 43.66/43.84 ! [VAR_V_235] :
% 43.66/43.84 ( pred_attacker(VAR_V_235)
% 43.66/43.84 => pred_attacker(tuple_client_A_in_4(VAR_V_235)) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax125,axiom,
% 43.66/43.84 ! [VAR_V_238] :
% 43.66/43.84 ( pred_attacker(tuple_client_A_in_4(VAR_V_238))
% 43.66/43.84 => pred_attacker(VAR_V_238) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax126,axiom,
% 43.66/43.84 ! [VAR_V_241] :
% 43.66/43.84 ( pred_attacker(VAR_V_241)
% 43.66/43.84 => pred_attacker(tuple_client_A_in_2(VAR_V_241)) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax127,axiom,
% 43.66/43.84 ! [VAR_V_244] :
% 43.66/43.84 ( pred_attacker(tuple_client_A_in_2(VAR_V_244))
% 43.66/43.84 => pred_attacker(VAR_V_244) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax128,axiom,
% 43.66/43.84 ! [VAR_V_251,VAR_V_252,VAR_V_253,VAR_V_254,VAR_V_255] :
% 43.66/43.84 ( ( pred_attacker(VAR_V_251)
% 43.66/43.84 & pred_attacker(VAR_V_252)
% 43.66/43.84 & pred_attacker(VAR_V_253)
% 43.66/43.84 & pred_attacker(VAR_V_254)
% 43.66/43.84 & pred_attacker(VAR_V_255) )
% 43.66/43.84 => pred_attacker(constr_cbc_enc_4(VAR_V_251,VAR_V_252,VAR_V_253,VAR_V_254,VAR_V_255)) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax129,axiom,
% 43.66/43.84 ! [VAR_V_260X30,VAR_V_261,VAR_V_262,VAR_V_263] :
% 43.66/43.84 ( ( pred_attacker(VAR_V_260X30)
% 43.66/43.84 & pred_attacker(VAR_V_261)
% 43.66/43.84 & pred_attacker(VAR_V_262)
% 43.66/43.84 & pred_attacker(VAR_V_263) )
% 43.66/43.84 => pred_attacker(constr_cbc_enc_3(VAR_V_260X30,VAR_V_261,VAR_V_262,VAR_V_263)) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax130,axiom,
% 43.66/43.84 ! [VAR_V_267,VAR_V_268,VAR_V_269] :
% 43.66/43.84 ( ( pred_attacker(VAR_V_267)
% 43.66/43.84 & pred_attacker(VAR_V_268)
% 43.66/43.84 & pred_attacker(VAR_V_269) )
% 43.66/43.84 => pred_attacker(constr_cbc_enc_2(VAR_V_267,VAR_V_268,VAR_V_269)) ) ).
% 43.66/43.84
% 43.66/43.84 fof(ax131,axiom,
% 43.66/43.84 ! [VAR_V_272,VAR_V_273] :
% 43.66/43.84 ( ( pred_attacker(VAR_V_272)
% 43.66/43.84 & pred_attacker(VAR_V_273) )
% 43.66/43.84 => pred_attacker(constr_cbc_enc_1(VAR_V_272,VAR_V_273)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax132,axiom,
% 43.77/43.84 ! [VAR_V_276,VAR_V_277] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_276)
% 43.77/43.84 & pred_attacker(VAR_V_277) )
% 43.77/43.84 => pred_attacker(constr_cbc_dec_4(VAR_V_276,VAR_V_277)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax133,axiom,
% 43.77/43.84 ! [VAR_V_280X30,VAR_V_281] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_280X30)
% 43.77/43.84 & pred_attacker(VAR_V_281) )
% 43.77/43.84 => pred_attacker(constr_cbc_dec_3(VAR_V_280X30,VAR_V_281)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax134,axiom,
% 43.77/43.84 ! [VAR_V_284,VAR_V_285] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_284)
% 43.77/43.84 & pred_attacker(VAR_V_285) )
% 43.77/43.84 => pred_attacker(constr_cbc_dec_2(VAR_V_284,VAR_V_285)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax135,axiom,
% 43.77/43.84 ! [VAR_V_288,VAR_V_289] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_288)
% 43.77/43.84 & pred_attacker(VAR_V_289) )
% 43.77/43.84 => pred_attacker(constr_cbc_dec_1(VAR_V_288,VAR_V_289)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax136,axiom,
% 43.77/43.84 ! [VAR_V_291] :
% 43.77/43.84 ( pred_attacker(VAR_V_291)
% 43.77/43.84 => pred_attacker(constr_cbc_4_get_3_prefixes(VAR_V_291)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax137,axiom,
% 43.77/43.84 ! [VAR_V_293] :
% 43.77/43.84 ( pred_attacker(VAR_V_293)
% 43.77/43.84 => pred_attacker(constr_cbc_4_get_2_prefixes(VAR_V_293)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax138,axiom,
% 43.77/43.84 ! [VAR_V_295] :
% 43.77/43.84 ( pred_attacker(VAR_V_295)
% 43.77/43.84 => pred_attacker(constr_cbc_4_get_1_prefixes(VAR_V_295)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax139,axiom,
% 43.77/43.84 ! [VAR_V_297] :
% 43.77/43.84 ( pred_attacker(VAR_V_297)
% 43.77/43.84 => pred_attacker(constr_cbc_3_get_2_prefixes(VAR_V_297)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax140,axiom,
% 43.77/43.84 ! [VAR_V_299] :
% 43.77/43.84 ( pred_attacker(VAR_V_299)
% 43.77/43.84 => pred_attacker(constr_cbc_3_get_1_prefixes(VAR_V_299)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax141,axiom,
% 43.77/43.84 ! [VAR_V_30X301] :
% 43.77/43.84 ( pred_attacker(VAR_V_30X301)
% 43.77/43.84 => pred_attacker(constr_cbc_2_get_1_prefixes(VAR_V_30X301)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax142,axiom,
% 43.77/43.84 pred_attacker(constr_CONST_4) ).
% 43.77/43.84
% 43.77/43.84 fof(ax143,axiom,
% 43.77/43.84 pred_attacker(constr_CONST_3) ).
% 43.77/43.84
% 43.77/43.84 fof(ax144,axiom,
% 43.77/43.84 pred_attacker(constr_CONST_2) ).
% 43.77/43.84
% 43.77/43.84 fof(ax145,axiom,
% 43.77/43.84 pred_attacker(constr_CONST_1) ).
% 43.77/43.84
% 43.77/43.84 fof(ax146,axiom,
% 43.77/43.84 pred_attacker(constr_CONST_0x30) ).
% 43.77/43.84
% 43.77/43.84 fof(ax147,axiom,
% 43.77/43.84 ! [VAR_V_310X30,VAR_V_311,VAR_V_312,VAR_V_313] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_310X30)
% 43.77/43.84 & pred_attacker(VAR_V_311)
% 43.77/43.84 & pred_attacker(VAR_V_312)
% 43.77/43.84 & pred_attacker(VAR_V_313) )
% 43.77/43.84 => pred_attacker(tuple_4(VAR_V_310X30,VAR_V_311,VAR_V_312,VAR_V_313)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax148,axiom,
% 43.77/43.84 ! [VAR_V_334,VAR_V_335,VAR_V_336,VAR_V_337] :
% 43.77/43.84 ( pred_attacker(tuple_4(VAR_V_334,VAR_V_335,VAR_V_336,VAR_V_337))
% 43.77/43.84 => pred_attacker(VAR_V_334) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax149,axiom,
% 43.77/43.84 ! [VAR_V_339,VAR_V_340X30,VAR_V_341,VAR_V_342] :
% 43.77/43.84 ( pred_attacker(tuple_4(VAR_V_339,VAR_V_340X30,VAR_V_341,VAR_V_342))
% 43.77/43.84 => pred_attacker(VAR_V_340X30) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax150,axiom,
% 43.77/43.84 ! [VAR_V_344,VAR_V_345,VAR_V_346,VAR_V_347] :
% 43.77/43.84 ( pred_attacker(tuple_4(VAR_V_344,VAR_V_345,VAR_V_346,VAR_V_347))
% 43.77/43.84 => pred_attacker(VAR_V_346) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax151,axiom,
% 43.77/43.84 ! [VAR_V_349,VAR_V_350X30,VAR_V_351,VAR_V_352] :
% 43.77/43.84 ( pred_attacker(tuple_4(VAR_V_349,VAR_V_350X30,VAR_V_351,VAR_V_352))
% 43.77/43.84 => pred_attacker(VAR_V_352) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax152,axiom,
% 43.77/43.84 ! [VAR_V_357,VAR_V_358,VAR_V_359] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_357)
% 43.77/43.84 & pred_attacker(VAR_V_358)
% 43.77/43.84 & pred_attacker(VAR_V_359) )
% 43.77/43.84 => pred_attacker(tuple_3(VAR_V_357,VAR_V_358,VAR_V_359)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax153,axiom,
% 43.77/43.84 ! [VAR_V_372,VAR_V_373,VAR_V_374] :
% 43.77/43.84 ( pred_attacker(tuple_3(VAR_V_372,VAR_V_373,VAR_V_374))
% 43.77/43.84 => pred_attacker(VAR_V_372) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax154,axiom,
% 43.77/43.84 ! [VAR_V_376,VAR_V_377,VAR_V_378] :
% 43.77/43.84 ( pred_attacker(tuple_3(VAR_V_376,VAR_V_377,VAR_V_378))
% 43.77/43.84 => pred_attacker(VAR_V_377) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax155,axiom,
% 43.77/43.84 ! [VAR_V_380X30,VAR_V_381,VAR_V_382] :
% 43.77/43.84 ( pred_attacker(tuple_3(VAR_V_380X30,VAR_V_381,VAR_V_382))
% 43.77/43.84 => pred_attacker(VAR_V_382) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax156,axiom,
% 43.77/43.84 ! [VAR_V_386,VAR_V_387] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_386)
% 43.77/43.84 & pred_attacker(VAR_V_387) )
% 43.77/43.84 => pred_attacker(tuple_2(VAR_V_386,VAR_V_387)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax157,axiom,
% 43.77/43.84 ! [VAR_V_394,VAR_V_395] :
% 43.77/43.84 ( pred_attacker(tuple_2(VAR_V_394,VAR_V_395))
% 43.77/43.84 => pred_attacker(VAR_V_394) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax158,axiom,
% 43.77/43.84 ! [VAR_V_397,VAR_V_398] :
% 43.77/43.84 ( pred_attacker(tuple_2(VAR_V_397,VAR_V_398))
% 43.77/43.84 => pred_attacker(VAR_V_398) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax159,axiom,
% 43.77/43.84 ! [VAR_V_40X300X30,VAR_V_40X301] :
% 43.77/43.84 ( ( pred_mess(VAR_V_40X301,VAR_V_40X300X30)
% 43.77/43.84 & pred_attacker(VAR_V_40X301) )
% 43.77/43.84 => pred_attacker(VAR_V_40X300X30) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax160,axiom,
% 43.77/43.84 ! [VAR_V_40X302,VAR_V_40X303] :
% 43.77/43.84 ( ( pred_attacker(VAR_V_40X303)
% 43.77/43.84 & pred_attacker(VAR_V_40X302) )
% 43.77/43.84 => pred_mess(VAR_V_40X303,VAR_V_40X302) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax161,axiom,
% 43.77/43.84 pred_attacker(name_c) ).
% 43.77/43.84
% 43.77/43.84 fof(ax162,axiom,
% 43.77/43.84 pred_attacker(name_I) ).
% 43.77/43.84
% 43.77/43.84 fof(ax163,axiom,
% 43.77/43.84 pred_attacker(name_B) ).
% 43.77/43.84
% 43.77/43.84 fof(ax164,axiom,
% 43.77/43.84 pred_attacker(name_A) ).
% 43.77/43.84
% 43.77/43.84 fof(ax165,axiom,
% 43.77/43.84 ! [VAR_V_40X305] : pred_equal(VAR_V_40X305,VAR_V_40X305) ).
% 43.77/43.84
% 43.77/43.84 fof(ax166,axiom,
% 43.77/43.84 ! [VAR_V_40X306] : pred_attacker(name_new0x2Dname(VAR_V_40X306)) ).
% 43.77/43.84
% 43.77/43.84 fof(ax167,axiom,
% 43.77/43.84 ! [VAR_0X40SID_420X30] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(VAR_0X40SID_420X30))) ).
% 43.77/43.84
% 43.77/43.84 fof(ax168,axiom,
% 43.77/43.84 ! [VAR_0X40SID_491,VAR_ENC_NA_B_ENC_KAB_A_490X30] :
% 43.77/43.84 ( ( pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_491),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_490X30)) )
% 43.77/43.84 => pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax169,axiom,
% 43.77/43.84 ! [VAR_0X40SID_523,VAR_ENC_NA_B_ENC_KAB_A_522,VAR_ENC_NB_521] :
% 43.77/43.84 ( ( pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_521))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_523),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_522)) )
% 43.77/43.84 => pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(VAR_ENC_NB_521,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas))))) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax170,axiom,
% 43.77/43.84 ! [VAR_0X40SID_572,VAR_ENC_KAB_A0X27_569,VAR_ENC_NA_B_ENC_KAB_A_571,VAR_ENC_NB_570X30] :
% 43.77/43.84 ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_569,name_Kas)))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_569))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_570X30))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_571,name_Kas)))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_572),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_571,name_Kas)))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_571)) )
% 43.77/43.84 => pred_attacker(tuple_client_A_out_7(constr_cbc_enc_1(name_Na0x27(VAR_ENC_NB_570X30,VAR_ENC_NA_B_ENC_KAB_A_571,VAR_0X40SID_572),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_569,name_Kas))))) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax171,axiom,
% 43.77/43.84 ! [VAR_0X40SID_598,VAR_ENC_KAB_A0X27_60X300X30,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_ENC_NB_596,VAR_ENC_SUCC_NA0X27_599] :
% 43.77/43.84 ( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_0X40SID_598)),constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas))))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas)))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
% 43.77/43.84 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
% 43.77/43.84 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)) )
% 43.77/43.84 => pred_attacker(tuple_client_A_out_9(name_objective)) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax172,axiom,
% 43.77/43.84 ! [VAR_0X40SID_662,VAR_ENC_KAB_A_661] :
% 43.77/43.84 ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A_661,name_Kbs)))
% 43.77/43.84 & pred_attacker(tuple_client_B_in_1(VAR_ENC_KAB_A_661)) )
% 43.77/43.84 => pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(VAR_0X40SID_662),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A_661,name_Kbs))))) ) ).
% 43.77/43.84
% 43.77/43.84 fof(ax173,axiom,
% 43.77/43.84 ! [VAR_0X40SID_732,VAR_A_729,VAR_B_730X30,VAR_NA_731] :
% 43.77/43.84 ( pred_attacker(tuple_server_S_in_1(VAR_A_729,VAR_B_730X30,VAR_NA_731))
% 43.77/43.84 => pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(VAR_NA_731,VAR_B_730X30,name_Kab_66(VAR_0X40SID_732),constr_cbc_enc_2(name_Kab_66(VAR_0X40SID_732),VAR_A_729,name_Kbs),name_Kas))) ) ).
% 43.77/43.84
% 43.77/43.84 fof(co0,conjecture,
% 43.77/43.84 pred_attacker(name_objective) ).
% 43.77/43.84
% 43.77/43.84 %--------------------------------------------------------------------------
% 43.77/43.84 %-------------------------------------------
% 43.77/43.84 % Proof found
% 43.77/43.84 % SZS status Theorem for theBenchmark
% 43.77/43.84 % SZS output start Proof
% 43.77/43.84 %ClaNum:255(EqnAxiom:81)
% 43.77/43.84 %VarNum:361(SingletonVarNum:212)
% 43.77/43.84 %MaxLitNum:6
% 43.77/43.84 %MaxfuncDepth:4
% 43.77/43.84 %SharedTerms:94
% 43.77/43.84 %goalClause: 179
% 43.77/43.84 %singleGoalClaCount:1
% 43.77/43.84 [82]P1(a1)
% 43.77/43.84 [83]P1(a2)
% 43.77/43.84 [84]P1(a3)
% 43.77/43.84 [85]P1(a4)
% 43.77/43.84 [86]P1(a5)
% 43.77/43.84 [87]P1(a6)
% 43.77/43.84 [88]P1(a29)
% 43.77/43.84 [89]P1(a30)
% 43.77/43.84 [90]P1(a31)
% 43.77/43.84 [91]P1(a38)
% 43.77/43.84 [92]P1(a39)
% 43.77/43.84 [113]~E(a1,a2)
% 43.77/43.84 [114]~E(a1,a3)
% 43.77/43.84 [115]~E(a3,a2)
% 43.77/43.84 [116]~E(a1,a4)
% 43.77/43.84 [117]~E(a4,a2)
% 43.77/43.84 [118]~E(a4,a3)
% 43.77/43.84 [119]~E(a1,a5)
% 43.77/43.84 [120]~E(a5,a2)
% 43.77/43.84 [121]~E(a5,a3)
% 43.77/43.84 [122]~E(a5,a4)
% 43.77/43.84 [123]~E(a1,a6)
% 43.77/43.84 [124]~E(a6,a2)
% 43.77/43.84 [125]~E(a6,a3)
% 43.77/43.84 [126]~E(a6,a4)
% 43.77/43.84 [127]~E(a6,a5)
% 43.77/43.84 [128]~E(a1,a29)
% 43.77/43.84 [129]~E(a29,a2)
% 43.77/43.84 [130]~E(a29,a3)
% 43.77/43.84 [131]~E(a29,a4)
% 43.77/43.84 [132]~E(a29,a5)
% 43.77/43.84 [133]~E(a29,a6)
% 43.77/43.84 [134]~E(a1,a30)
% 43.77/43.84 [135]~E(a30,a2)
% 43.77/43.84 [136]~E(a30,a3)
% 43.77/43.84 [137]~E(a30,a4)
% 43.77/43.84 [138]~E(a30,a5)
% 43.77/43.84 [139]~E(a30,a6)
% 43.77/43.84 [140]~E(a30,a29)
% 43.77/43.84 [141]~E(a1,a33)
% 43.77/43.84 [142]~E(a33,a2)
% 43.77/43.84 [143]~E(a33,a3)
% 43.77/43.84 [144]~E(a33,a4)
% 43.77/43.84 [145]~E(a33,a5)
% 43.77/43.84 [146]~E(a33,a6)
% 43.77/43.84 [147]~E(a33,a29)
% 43.77/43.84 [148]~E(a33,a30)
% 43.77/43.84 [149]~E(a1,a35)
% 43.77/43.84 [150]~E(a35,a2)
% 43.77/43.84 [151]~E(a35,a3)
% 43.77/43.84 [152]~E(a35,a4)
% 43.77/43.84 [153]~E(a35,a5)
% 43.77/43.84 [154]~E(a35,a6)
% 43.77/43.84 [155]~E(a35,a29)
% 43.77/43.84 [156]~E(a35,a30)
% 43.77/43.84 [157]~E(a35,a33)
% 43.77/43.84 [158]~E(a1,a31)
% 43.77/43.84 [159]~E(a31,a2)
% 43.77/43.84 [160]~E(a31,a3)
% 43.77/43.84 [161]~E(a31,a4)
% 43.77/43.84 [162]~E(a31,a5)
% 43.77/43.84 [163]~E(a31,a6)
% 43.77/43.84 [164]~E(a31,a29)
% 43.77/43.84 [165]~E(a31,a30)
% 43.77/43.84 [166]~E(a33,a31)
% 43.77/43.84 [167]~E(a35,a31)
% 43.77/43.84 [168]~E(a1,a42)
% 43.77/43.84 [169]~E(a42,a2)
% 43.77/43.84 [170]~E(a42,a3)
% 43.77/43.84 [171]~E(a42,a4)
% 43.77/43.84 [172]~E(a42,a5)
% 43.77/43.84 [173]~E(a42,a6)
% 43.77/43.84 [174]~E(a42,a29)
% 43.77/43.84 [175]~E(a42,a30)
% 43.77/43.84 [176]~E(a42,a33)
% 43.77/43.84 [177]~E(a42,a35)
% 43.77/43.84 [178]~E(a42,a31)
% 43.77/43.84 [179]~P1(a42)
% 43.77/43.84 [94]P2(x941,x941)
% 43.77/43.84 [93]P1(f40(x931))
% 43.77/43.84 [99]P1(f43(a6,a29,f32(x991)))
% 43.77/43.84 [95]E(f7(f41(x951,x952)),x951)
% 43.77/43.84 [96]E(f24(f41(x961,x962)),x962)
% 43.77/43.84 [97]E(f9(f8(x971,x972),x972),x971)
% 43.77/43.84 [98]E(f20(f19(x981,x982),x982),x981)
% 43.77/43.84 [100]E(f10(f21(x1001,x1002,x1003)),f8(x1001,x1003))
% 43.77/43.84 [101]E(f16(f21(x1011,x1012,x1013),x1013),f41(x1011,x1012))
% 43.77/43.84 [102]E(f25(f44(x1021,x1022,x1023,x1024)),x1024)
% 43.77/43.84 [103]E(f26(f44(x1031,x1032,x1033,x1034)),x1033)
% 43.77/43.84 [104]E(f27(f44(x1041,x1042,x1043,x1044)),x1042)
% 43.77/43.84 [105]E(f28(f44(x1051,x1052,x1053,x1054)),x1051)
% 43.77/43.84 [106]E(f11(f22(x1061,x1062,x1063,x1064)),f8(x1061,x1064))
% 43.77/43.84 [107]E(f12(f22(x1071,x1072,x1073,x1074)),f21(x1071,x1072,x1074))
% 43.77/43.84 [108]E(f17(f22(x1081,x1082,x1083,x1084),x1084),f45(x1081,x1082,x1083))
% 43.77/43.84 [109]E(f13(f23(x1091,x1092,x1093,x1094,x1095)),f8(x1091,x1095))
% 43.77/43.84 [110]E(f14(f23(x1101,x1102,x1103,x1104,x1105)),f21(x1101,x1102,x1105))
% 43.77/43.84 [111]E(f15(f23(x1111,x1112,x1113,x1114,x1115)),f22(x1111,x1112,x1113,x1115))
% 43.77/43.84 [112]E(f18(f23(x1121,x1122,x1123,x1124,x1125),x1125),f44(x1121,x1122,x1123,x1124))
% 43.77/43.84 [180]~P1(x1801)+P1(f15(x1801))
% 43.77/43.84 [181]~P1(x1811)+P1(f14(x1811))
% 43.77/43.84 [182]~P1(x1821)+P1(f13(x1821))
% 43.77/43.84 [183]~P1(x1831)+P1(f12(x1831))
% 43.77/43.84 [184]~P1(x1841)+P1(f11(x1841))
% 43.77/43.84 [185]~P1(x1851)+P1(f10(x1851))
% 43.77/43.84 [186]~P1(x1861)+P1(f25(x1861))
% 43.77/43.84 [187]~P1(x1871)+P1(f26(x1871))
% 43.77/43.84 [188]~P1(x1881)+P1(f7(x1881))
% 43.77/43.84 [189]~P1(x1891)+P1(f27(x1891))
% 43.77/43.84 [190]~P1(x1901)+P1(f28(x1901))
% 43.77/43.84 [191]~P1(x1911)+P1(f24(x1911))
% 43.77/43.84 [192]~P1(x1921)+P1(f57(x1921))
% 43.77/43.84 [193]~P1(x1931)+P1(f58(x1931))
% 43.77/43.84 [194]~P1(x1941)+P1(f50(x1941))
% 43.77/43.84 [195]~P1(x1951)+P1(f51(x1951))
% 43.77/43.84 [196]~P1(x1961)+P1(f52(x1961))
% 43.77/43.84 [197]~P1(x1971)+P1(f53(x1971))
% 43.77/43.84 [198]~P1(x1981)+P1(f54(x1981))
% 43.77/43.84 [199]~P1(x1991)+P1(f55(x1991))
% 43.77/43.84 [200]~P1(x2001)+P1(f56(x2001))
% 43.77/43.84 [201]~P1(x2011)+P1(f46(x2011))
% 43.77/43.84 [202]~P1(x2021)+P1(f47(x2021))
% 43.77/43.84 [203]~P1(x2031)+P1(f48(x2031))
% 43.77/43.84 [204]~P1(x2041)+P1(f49(x2041))
% 43.77/43.84 [205]P1(x2051)+~P1(f57(x2051))
% 43.77/43.84 [206]P1(x2061)+~P1(f58(x2061))
% 43.77/43.84 [207]P1(x2071)+~P1(f50(x2071))
% 43.77/43.84 [208]P1(x2081)+~P1(f51(x2081))
% 43.77/43.84 [209]P1(x2091)+~P1(f52(x2091))
% 43.77/43.84 [210]P1(x2101)+~P1(f53(x2101))
% 43.77/43.84 [211]P1(x2111)+~P1(f54(x2111))
% 43.77/43.84 [212]P1(x2121)+~P1(f55(x2121))
% 43.77/43.84 [213]P1(x2131)+~P1(f56(x2131))
% 43.77/43.84 [214]P1(x2141)+~P1(f46(x2141))
% 43.77/43.84 [215]P1(x2151)+~P1(f47(x2151))
% 43.77/43.84 [216]P1(x2161)+~P1(f48(x2161))
% 43.77/43.84 [217]P1(x2171)+~P1(f49(x2171))
% 43.77/43.84 [231]~P1(f49(x2311))+P1(f56(f25(f18(x2311,a33))))
% 43.77/43.84 [228]P1(x2281)+~P1(f41(x2282,x2281))
% 43.77/43.84 [229]P1(x2291)+~P1(f41(x2291,x2292))
% 43.77/43.84 [245]~P1(f52(x2452))+P1(f50(f8(f36(x2451),f7(f16(x2452,a35)))))
% 43.77/43.84 [236]P1(x2361)+~P1(f45(x2362,x2363,x2361))
% 43.77/43.84 [237]P1(x2371)+~P1(f59(x2372,x2373,x2371))
% 43.77/43.84 [238]P1(x2381)+~P1(f43(x2382,x2383,x2381))
% 43.77/43.84 [239]P1(x2391)+~P1(f45(x2392,x2391,x2393))
% 43.77/43.84 [240]P1(x2401)+~P1(f59(x2402,x2401,x2403))
% 43.77/43.84 [241]P1(x2411)+~P1(f43(x2412,x2411,x2413))
% 43.77/43.84 [242]P1(x2421)+~P1(f45(x2421,x2422,x2423))
% 43.77/43.84 [243]P1(x2431)+~P1(f59(x2431,x2432,x2433))
% 43.77/43.84 [244]P1(x2441)+~P1(f43(x2441,x2442,x2443))
% 43.77/43.84 [249]P1(x2491)+~P1(f44(x2492,x2493,x2494,x2491))
% 43.77/43.84 [250]P1(x2501)+~P1(f44(x2502,x2503,x2501,x2504))
% 43.77/43.84 [251]P1(x2511)+~P1(f44(x2512,x2511,x2513,x2514))
% 43.77/43.84 [252]P1(x2521)+~P1(f44(x2521,x2522,x2523,x2524))
% 43.77/43.84 [255]~P1(f59(x2554,x2552,x2551))+P1(f58(f23(x2551,x2552,f34(x2553),f21(f34(x2553),x2554,a35),a33)))
% 43.77/43.84 [218]~P1(x2182)+~P1(x2181)+P3(x2181,x2182)
% 43.77/43.84 [219]~P3(x2192,x2191)+P1(x2191)+~P1(x2192)
% 43.77/43.84 [220]~P1(x2202)+~P1(x2201)+P1(f18(x2201,x2202))
% 43.77/43.84 [221]~P1(x2212)+~P1(x2211)+P1(f17(x2211,x2212))
% 43.77/43.84 [222]~P1(x2222)+~P1(x2221)+P1(f16(x2221,x2222))
% 43.77/43.84 [223]~P1(x2232)+~P1(x2231)+P1(f41(x2231,x2232))
% 43.77/43.84 [224]~P1(x2242)+~P1(x2241)+P1(f8(x2241,x2242))
% 43.77/43.84 [225]~P1(x2252)+~P1(x2251)+P1(f9(x2251,x2252))
% 43.77/43.84 [226]~P1(x2262)+~P1(x2261)+P1(f19(x2261,x2262))
% 43.77/43.84 [227]~P1(x2272)+~P1(x2271)+P1(f20(x2271,x2272))
% 43.77/43.84 [253]~P1(f48(x2531))+~P1(f49(x2532))+P1(f55(f8(f57(f9(x2531,f26(f18(x2532,a33)))),f26(f18(x2532,a33)))))
% 43.77/43.84 [232]~P1(x2323)+~P1(x2322)+~P1(x2321)+P1(f45(x2321,x2322,x2323))
% 43.77/43.84 [233]~P1(x2333)+~P1(x2332)+~P1(x2331)+P1(f21(x2331,x2332,x2333))
% 43.77/43.84 [234]~P1(x2343)+~P1(x2342)+~P1(x2341)+P1(f59(x2341,x2342,x2343))
% 43.77/43.84 [235]~P1(x2353)+~P1(x2352)+~P1(x2351)+P1(f43(x2351,x2352,x2353))
% 43.77/43.84 [248]~P1(f47(x2484))+~P1(f48(x2481))+~P1(f49(x2482))+P1(f54(f8(f37(x2481,x2482,x2483),f7(f16(x2484,a33)))))
% 43.77/43.84 [230]~P1(f46(x2301))+~P1(f47(x2302))+~P1(f48(x2303))+~P1(f49(x2304))+P1(f53(a42))
% 43.77/43.84 [246]~P1(x2464)+~P1(x2463)+~P1(x2462)+~P1(x2461)+P1(f44(x2461,x2462,x2463,x2464))
% 43.77/43.84 [247]~P1(x2474)+~P1(x2473)+~P1(x2472)+~P1(x2471)+P1(f22(x2471,x2472,x2473,x2474))
% 43.77/43.84 [254]~P1(x2545)+~P1(x2544)+~P1(x2543)+~P1(x2542)+~P1(x2541)+P1(f23(x2541,x2542,x2543,x2544,x2545))
% 43.77/43.84 %EqnAxiom
% 43.77/43.84 [1]E(x11,x11)
% 43.77/43.84 [2]E(x22,x21)+~E(x21,x22)
% 43.77/43.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 43.77/43.84 [4]~E(x41,x42)+E(f40(x41),f40(x42))
% 43.77/43.84 [5]~E(x51,x52)+E(f41(x51,x53),f41(x52,x53))
% 43.77/43.84 [6]~E(x61,x62)+E(f41(x63,x61),f41(x63,x62))
% 43.77/43.84 [7]~E(x71,x72)+E(f7(x71),f7(x72))
% 43.77/43.84 [8]~E(x81,x82)+E(f59(x81,x83,x84),f59(x82,x83,x84))
% 43.77/43.84 [9]~E(x91,x92)+E(f59(x93,x91,x94),f59(x93,x92,x94))
% 43.77/43.84 [10]~E(x101,x102)+E(f59(x103,x104,x101),f59(x103,x104,x102))
% 43.77/43.84 [11]~E(x111,x112)+E(f24(x111),f24(x112))
% 43.77/43.84 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 43.77/43.84 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 43.77/43.84 [14]~E(x141,x142)+E(f9(x141,x143),f9(x142,x143))
% 43.77/43.84 [15]~E(x151,x152)+E(f9(x153,x151),f9(x153,x152))
% 43.77/43.84 [16]~E(x161,x162)+E(f19(x161,x163),f19(x162,x163))
% 43.77/43.84 [17]~E(x171,x172)+E(f19(x173,x171),f19(x173,x172))
% 43.77/43.84 [18]~E(x181,x182)+E(f20(x181,x183),f20(x182,x183))
% 43.77/43.84 [19]~E(x191,x192)+E(f20(x193,x191),f20(x193,x192))
% 43.77/43.84 [20]~E(x201,x202)+E(f32(x201),f32(x202))
% 43.77/43.84 [21]~E(x211,x212)+E(f43(x211,x213,x214),f43(x212,x213,x214))
% 43.77/43.84 [22]~E(x221,x222)+E(f43(x223,x221,x224),f43(x223,x222,x224))
% 43.77/43.84 [23]~E(x231,x232)+E(f43(x233,x234,x231),f43(x233,x234,x232))
% 43.77/43.84 [24]~E(x241,x242)+E(f21(x241,x243,x244),f21(x242,x243,x244))
% 43.77/43.84 [25]~E(x251,x252)+E(f21(x253,x251,x254),f21(x253,x252,x254))
% 43.77/43.84 [26]~E(x261,x262)+E(f21(x263,x264,x261),f21(x263,x264,x262))
% 43.77/43.85 [27]~E(x271,x272)+E(f10(x271),f10(x272))
% 43.77/43.85 [28]~E(x281,x282)+E(f57(x281),f57(x282))
% 43.77/43.85 [29]~E(x291,x292)+E(f37(x291,x293,x294),f37(x292,x293,x294))
% 43.77/43.85 [30]~E(x301,x302)+E(f37(x303,x301,x304),f37(x303,x302,x304))
% 43.77/43.85 [31]~E(x311,x312)+E(f37(x313,x314,x311),f37(x313,x314,x312))
% 43.77/43.85 [32]~E(x321,x322)+E(f16(x321,x323),f16(x322,x323))
% 43.77/43.85 [33]~E(x331,x332)+E(f16(x333,x331),f16(x333,x332))
% 43.77/43.85 [34]~E(x341,x342)+E(f58(x341),f58(x342))
% 43.77/43.85 [35]~E(x351,x352)+E(f44(x351,x353,x354,x355),f44(x352,x353,x354,x355))
% 43.77/43.85 [36]~E(x361,x362)+E(f44(x363,x361,x364,x365),f44(x363,x362,x364,x365))
% 43.77/43.85 [37]~E(x371,x372)+E(f44(x373,x374,x371,x375),f44(x373,x374,x372,x375))
% 43.77/43.85 [38]~E(x381,x382)+E(f44(x383,x384,x385,x381),f44(x383,x384,x385,x382))
% 43.77/43.85 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 43.77/43.85 [40]~E(x401,x402)+E(f45(x401,x403,x404),f45(x402,x403,x404))
% 43.77/43.85 [41]~E(x411,x412)+E(f45(x413,x411,x414),f45(x413,x412,x414))
% 43.77/43.85 [42]~E(x421,x422)+E(f45(x423,x424,x421),f45(x423,x424,x422))
% 43.77/43.85 [43]~E(x431,x432)+E(f26(x431),f26(x432))
% 43.77/43.85 [44]~E(x441,x442)+E(f55(x441),f55(x442))
% 43.77/43.85 [45]~E(x451,x452)+E(f27(x451),f27(x452))
% 43.77/43.85 [46]~E(x461,x462)+E(f56(x461),f56(x462))
% 43.77/43.85 [47]~E(x471,x472)+E(f28(x471),f28(x472))
% 43.77/43.85 [48]~E(x481,x482)+E(f22(x481,x483,x484,x485),f22(x482,x483,x484,x485))
% 43.77/43.85 [49]~E(x491,x492)+E(f22(x493,x491,x494,x495),f22(x493,x492,x494,x495))
% 43.77/43.85 [50]~E(x501,x502)+E(f22(x503,x504,x501,x505),f22(x503,x504,x502,x505))
% 43.77/43.85 [51]~E(x511,x512)+E(f22(x513,x514,x515,x511),f22(x513,x514,x515,x512))
% 43.77/43.85 [52]~E(x521,x522)+E(f11(x521),f11(x522))
% 43.77/43.85 [53]~E(x531,x532)+E(f54(x531),f54(x532))
% 43.77/43.85 [54]~E(x541,x542)+E(f23(x541,x543,x544,x545,x546),f23(x542,x543,x544,x545,x546))
% 43.77/43.85 [55]~E(x551,x552)+E(f23(x553,x551,x554,x555,x556),f23(x553,x552,x554,x555,x556))
% 43.77/43.85 [56]~E(x561,x562)+E(f23(x563,x564,x561,x565,x566),f23(x563,x564,x562,x565,x566))
% 43.77/43.85 [57]~E(x571,x572)+E(f23(x573,x574,x575,x571,x576),f23(x573,x574,x575,x572,x576))
% 43.77/43.85 [58]~E(x581,x582)+E(f23(x583,x584,x585,x586,x581),f23(x583,x584,x585,x586,x582))
% 43.77/43.85 [59]~E(x591,x592)+E(f12(x591),f12(x592))
% 43.77/43.85 [60]~E(x601,x602)+E(f53(x601),f53(x602))
% 43.77/43.85 [61]~E(x611,x612)+E(f17(x611,x613),f17(x612,x613))
% 43.77/43.85 [62]~E(x621,x622)+E(f17(x623,x621),f17(x623,x622))
% 43.77/43.85 [63]~E(x631,x632)+E(f49(x631),f49(x632))
% 43.77/43.85 [64]~E(x641,x642)+E(f18(x641,x643),f18(x642,x643))
% 43.77/43.85 [65]~E(x651,x652)+E(f18(x653,x651),f18(x653,x652))
% 43.77/43.85 [66]~E(x661,x662)+E(f46(x661),f46(x662))
% 43.77/43.85 [67]~E(x671,x672)+E(f13(x671),f13(x672))
% 43.77/43.85 [68]~E(x681,x682)+E(f47(x681),f47(x682))
% 43.77/43.85 [69]~E(x691,x692)+E(f36(x691),f36(x692))
% 43.77/43.85 [70]~E(x701,x702)+E(f14(x701),f14(x702))
% 43.77/43.85 [71]~E(x711,x712)+E(f48(x711),f48(x712))
% 43.77/43.85 [72]~E(x721,x722)+E(f52(x721),f52(x722))
% 43.77/43.85 [73]~E(x731,x732)+E(f15(x731),f15(x732))
% 43.77/43.85 [74]~E(x741,x742)+E(f50(x741),f50(x742))
% 43.77/43.85 [75]~E(x751,x752)+E(f34(x751),f34(x752))
% 43.77/43.85 [76]~E(x761,x762)+E(f51(x761),f51(x762))
% 43.77/43.85 [77]~P1(x771)+P1(x772)+~E(x771,x772)
% 43.77/43.85 [78]P3(x782,x783)+~E(x781,x782)+~P3(x781,x783)
% 43.77/43.85 [79]P3(x793,x792)+~E(x791,x792)+~P3(x793,x791)
% 43.77/43.85 [80]P2(x802,x803)+~E(x801,x802)+~P2(x801,x803)
% 43.77/43.85 [81]P2(x813,x812)+~E(x811,x812)+~P2(x813,x811)
% 43.77/43.85
% 43.77/43.85 %-------------------------------------------
% 43.77/43.85 cnf(256,plain,
% 43.77/43.85 (P1(f32(x2561))),
% 43.77/43.85 inference(scs_inference,[],[99,238])).
% 43.77/43.85 cnf(258,plain,
% 43.77/43.85 (E(x2581,f9(f8(x2581,x2582),x2582))),
% 43.77/43.85 inference(scs_inference,[],[97,99,238,2])).
% 43.77/43.85 cnf(261,plain,
% 43.77/43.85 (~P1(f9(f8(a42,x2611),x2611))),
% 43.77/43.85 inference(scs_inference,[],[179,82,97,99,238,2,219,77])).
% 43.77/43.85 cnf(262,plain,
% 43.77/43.85 (E(f9(f8(x2621,x2622),x2622),x2621)),
% 43.77/43.85 inference(rename_variables,[],[97])).
% 43.77/43.85 cnf(263,plain,
% 43.77/43.85 (~P1(f8(a42,a1))),
% 43.77/43.85 inference(scs_inference,[],[179,82,97,99,238,2,219,77,225])).
% 43.77/43.85 cnf(266,plain,
% 43.77/43.85 (E(f9(f8(x2661,x2662),x2662),x2661)),
% 43.77/43.85 inference(rename_variables,[],[97])).
% 43.77/43.85 cnf(267,plain,
% 43.77/43.85 (P2(x2671,f9(f8(x2671,x2672),x2672))),
% 43.77/43.85 inference(scs_inference,[],[179,82,97,262,266,99,94,113,238,2,219,77,225,3,80])).
% 43.77/43.85 cnf(268,plain,
% 43.77/43.85 (P2(x2681,x2681)),
% 43.77/43.85 inference(rename_variables,[],[94])).
% 43.77/43.85 cnf(269,plain,
% 43.77/43.85 (P2(f9(f8(x2691,x2692),x2692),x2691)),
% 43.77/43.85 inference(scs_inference,[],[179,82,97,262,266,99,94,268,113,238,2,219,77,225,3,80,81])).
% 43.77/43.85 cnf(271,plain,
% 43.77/43.85 (E(x2711,f20(f19(x2711,x2712),x2712))),
% 43.77/43.85 inference(scs_inference,[],[98,2])).
% 43.77/43.85 cnf(275,plain,
% 43.77/43.85 (E(x2751,f9(f8(x2751,x2752),x2752))),
% 43.77/43.85 inference(rename_variables,[],[258])).
% 43.77/43.85 cnf(276,plain,
% 43.77/43.85 (~P1(f8(a42,f32(x2761)))),
% 43.77/43.85 inference(scs_inference,[],[179,256,261,258,267,98,2,219,81,225])).
% 43.77/43.85 cnf(279,plain,
% 43.77/43.85 (P1(f9(f8(f32(x2791),x2792),x2792))),
% 43.77/43.85 inference(scs_inference,[],[179,256,261,258,275,267,98,2,219,81,225,77])).
% 43.77/43.85 cnf(280,plain,
% 43.77/43.85 (E(x2801,f9(f8(x2801,x2802),x2802))),
% 43.77/43.85 inference(rename_variables,[],[258])).
% 43.77/43.85 cnf(281,plain,
% 43.77/43.85 (P2(f9(f8(x2811,x2812),x2812),f9(f8(x2811,x2813),x2813))),
% 43.77/43.85 inference(scs_inference,[],[179,256,261,258,275,280,267,98,2,219,81,225,77,80])).
% 43.77/43.85 cnf(285,plain,
% 43.77/43.85 (E(f41(x2851,x2852),f16(f21(x2851,x2852,x2853),x2853))),
% 43.77/43.85 inference(scs_inference,[],[101,2])).
% 43.77/43.85 cnf(289,plain,
% 43.77/43.85 (E(x2891,f20(f19(x2891,x2892),x2892))),
% 43.77/43.85 inference(rename_variables,[],[271])).
% 43.77/43.85 cnf(290,plain,
% 43.77/43.85 (~P1(f8(a42,f9(f8(f32(x2901),x2902),x2902)))),
% 43.77/43.85 inference(scs_inference,[],[179,279,261,271,281,101,2,219,81,225])).
% 43.77/43.85 cnf(293,plain,
% 43.77/43.85 (P1(f20(f19(f9(f8(f32(x2931),x2932),x2932),x2933),x2933))),
% 43.77/43.85 inference(scs_inference,[],[179,279,261,271,289,281,101,2,219,81,225,77])).
% 43.77/43.85 cnf(294,plain,
% 43.77/43.85 (E(x2941,f20(f19(x2941,x2942),x2942))),
% 43.77/43.85 inference(rename_variables,[],[271])).
% 43.77/43.85 cnf(295,plain,
% 43.77/43.85 (P2(f20(f19(f9(f8(x2951,x2952),x2952),x2953),x2953),f9(f8(x2951,x2954),x2954))),
% 43.77/43.85 inference(scs_inference,[],[179,279,261,271,289,294,281,101,2,219,81,225,77,80])).
% 43.77/43.85 cnf(297,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x2971,x2972,x2973),x2973),x2974)),f41(x2971,x2972))),
% 43.77/43.85 inference(scs_inference,[],[179,279,261,271,289,294,281,101,95,2,219,81,225,77,80,3])).
% 43.77/43.85 cnf(299,plain,
% 43.77/43.85 (E(f41(x2991,x2992),f7(f41(f16(f21(x2991,x2992,x2993),x2993),x2994)))),
% 43.77/43.85 inference(scs_inference,[],[297,2])).
% 43.77/43.85 cnf(303,plain,
% 43.77/43.85 (E(x3031,f9(f8(x3031,x3032),x3032))),
% 43.77/43.85 inference(rename_variables,[],[258])).
% 43.77/43.85 cnf(304,plain,
% 43.77/43.85 (~P1(f10(f21(a42,x3041,f32(x3042))))),
% 43.77/43.85 inference(scs_inference,[],[179,293,297,295,276,100,258,2,219,81,77])).
% 43.77/43.85 cnf(306,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x3061,x3062,x3063),x3063),x3064)),f16(f21(x3061,x3062,x3065),x3065))),
% 43.77/43.85 inference(scs_inference,[],[179,293,297,285,295,276,100,258,2,219,81,77,3])).
% 43.77/43.85 cnf(308,plain,
% 43.77/43.85 (P2(f9(f8(f9(f8(x3081,x3082),x3082),x3083),x3083),f9(f8(x3081,x3084),x3084))),
% 43.77/43.85 inference(scs_inference,[],[179,293,297,285,295,276,100,258,303,281,2,219,81,77,3,80])).
% 43.77/43.85 cnf(310,plain,
% 43.77/43.85 (~P1(f21(a42,x3101,f32(x3102)))),
% 43.77/43.85 inference(scs_inference,[],[179,293,297,285,295,276,100,258,303,281,2,219,81,77,3,80,185])).
% 43.77/43.85 cnf(312,plain,
% 43.77/43.85 (E(f16(f21(x3121,x3122,x3123),x3123),f7(f41(f16(f21(x3121,x3122,x3124),x3124),x3125)))),
% 43.77/43.85 inference(scs_inference,[],[306,2])).
% 43.77/43.85 cnf(316,plain,
% 43.77/43.85 (E(x3161,f20(f19(x3161,x3162),x3162))),
% 43.77/43.85 inference(rename_variables,[],[271])).
% 43.77/43.85 cnf(317,plain,
% 43.77/43.85 (~P1(f12(f22(a42,x3171,x3172,f32(x3173))))),
% 43.77/43.85 inference(scs_inference,[],[304,293,308,306,310,107,271,2,219,81,77])).
% 43.77/43.85 cnf(319,plain,
% 43.77/43.85 (E(f24(f41(x3191,f41(x3192,x3193))),f7(f41(f16(f21(x3192,x3193,x3194),x3194),x3195)))),
% 43.77/43.85 inference(scs_inference,[],[304,293,308,306,299,310,107,96,271,2,219,81,77,3])).
% 43.77/43.85 cnf(321,plain,
% 43.77/43.85 (P2(f20(f19(f9(f8(x3211,x3212),x3212),x3213),x3213),x3211)),
% 43.77/43.85 inference(scs_inference,[],[304,293,308,306,299,310,107,96,271,316,269,2,219,81,77,3,80])).
% 43.77/43.85 cnf(323,plain,
% 43.77/43.85 (~P1(f22(a42,x3231,x3232,f32(x3233)))),
% 43.77/43.85 inference(scs_inference,[],[304,293,308,306,299,310,107,96,271,316,269,2,219,81,77,3,80,183])).
% 43.77/43.85 cnf(325,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x3251,x3252,x3253),x3253),x3254)),f24(f41(x3255,f41(x3251,x3252))))),
% 43.77/43.85 inference(scs_inference,[],[319,2])).
% 43.77/43.85 cnf(330,plain,
% 43.77/43.85 (~P1(f15(f23(a42,x3301,x3302,x3303,f32(x3304))))),
% 43.77/43.85 inference(scs_inference,[],[317,293,319,323,111,308,258,2,219,81,77])).
% 43.77/43.85 cnf(332,plain,
% 43.77/43.85 (E(f25(f44(x3321,x3322,x3323,f16(f21(x3324,x3325,x3326),x3326))),f7(f41(f16(f21(x3324,x3325,x3327),x3327),x3328)))),
% 43.77/43.85 inference(scs_inference,[],[317,293,312,319,323,111,102,308,258,2,219,81,77,3])).
% 43.77/43.85 cnf(334,plain,
% 43.77/43.85 (P2(f7(f41(f16(f21(x3341,x3342,x3343),x3343),x3344)),f9(f8(f16(f21(x3341,x3342,x3345),x3345),x3346),x3346))),
% 43.77/43.85 inference(scs_inference,[],[317,293,312,319,323,111,102,308,258,267,2,219,81,77,3,80])).
% 43.77/43.85 cnf(336,plain,
% 43.77/43.85 (~P1(f23(a42,x3361,x3362,x3363,f32(x3364)))),
% 43.77/43.85 inference(scs_inference,[],[317,293,312,319,323,111,102,308,258,267,2,219,81,77,3,80,180])).
% 43.77/43.85 cnf(338,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x3381,x3382,x3383),x3383),x3384)),f25(f44(x3385,x3386,x3387,f16(f21(x3381,x3382,x3388),x3388))))),
% 43.77/43.85 inference(scs_inference,[],[332,2])).
% 43.77/43.85 cnf(343,plain,
% 43.77/43.85 (~P1(f14(f23(a42,x3431,x3432,x3433,f32(x3434))))),
% 43.77/43.85 inference(scs_inference,[],[330,256,332,110,295,310,271,2,219,81,77])).
% 43.77/43.85 cnf(345,plain,
% 43.77/43.85 (E(f25(f44(x3451,x3452,x3453,f16(f21(x3454,x3455,x3456),x3456))),f24(f41(x3457,f41(x3454,x3455))))),
% 43.77/43.85 inference(scs_inference,[],[330,256,325,332,110,295,310,271,2,219,81,77,3])).
% 43.77/43.85 cnf(346,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x3461,x3462,x3463),x3463),x3464)),f24(f41(x3465,f41(x3461,x3462))))),
% 43.77/43.85 inference(rename_variables,[],[325])).
% 43.77/43.85 cnf(347,plain,
% 43.77/43.85 (P2(f24(f41(x3471,f41(x3472,x3473))),f9(f8(f16(f21(x3472,x3473,x3474),x3474),x3475),x3475))),
% 43.77/43.85 inference(scs_inference,[],[330,256,325,346,334,332,110,295,310,271,2,219,81,77,3,80])).
% 43.77/43.85 cnf(349,plain,
% 43.77/43.85 (E(f24(f41(x3491,f41(x3492,x3493))),f25(f44(x3494,x3495,x3496,f16(f21(x3492,x3493,x3497),x3497))))),
% 43.77/43.85 inference(scs_inference,[],[345,2])).
% 43.77/43.85 cnf(352,plain,
% 43.77/43.85 (P2(f24(f41(x3521,f41(x3522,x3523))),f16(f21(x3522,x3523,x3524),x3524))),
% 43.77/43.85 inference(scs_inference,[],[343,279,345,347,97,2,219,81])).
% 43.77/43.85 cnf(355,plain,
% 43.77/43.85 (~P1(f11(f22(a42,x3551,x3552,f9(f8(f32(x3553),x3554),x3554))))),
% 43.77/43.85 inference(scs_inference,[],[343,279,345,347,290,106,97,2,219,81,77])).
% 43.77/43.85 cnf(357,plain,
% 43.77/43.85 (E(f26(f44(x3571,x3572,f17(f22(x3573,x3574,x3575,x3576),x3576),x3577)),f45(x3573,x3574,x3575))),
% 43.77/43.85 inference(scs_inference,[],[343,279,345,347,290,108,106,103,97,2,219,81,77,3])).
% 43.77/43.85 cnf(361,plain,
% 43.77/43.85 (~P1(f22(a42,x3611,x3612,f9(f8(f32(x3613),x3614),x3614)))),
% 43.77/43.85 inference(scs_inference,[],[343,279,345,347,338,290,108,106,103,334,97,2,219,81,77,3,80,184])).
% 43.77/43.85 cnf(363,plain,
% 43.77/43.85 (E(f45(x3631,x3632,x3633),f26(f44(x3634,x3635,f17(f22(x3631,x3632,x3633,x3636),x3636),x3637)))),
% 43.77/43.85 inference(scs_inference,[],[357,2])).
% 43.77/43.85 cnf(368,plain,
% 43.77/43.85 (~P1(f13(f23(a42,x3681,x3682,x3683,a1)))),
% 43.77/43.85 inference(scs_inference,[],[336,293,357,263,109,258,281,2,219,81,77])).
% 43.77/43.85 cnf(370,plain,
% 43.77/43.85 (E(f27(f44(x3701,f18(f23(x3702,x3703,x3704,x3705,x3706),x3706),x3707,x3708)),f44(x3702,x3703,x3704,x3705))),
% 43.77/43.85 inference(scs_inference,[],[336,293,357,263,112,109,104,258,281,2,219,81,77,3])).
% 43.77/43.85 cnf(372,plain,
% 43.77/43.85 (P2(f16(f21(x3721,x3722,x3723),x3723),f9(f8(f16(f21(x3721,x3722,x3724),x3724),x3725),x3725))),
% 43.77/43.85 inference(scs_inference,[],[336,293,357,263,112,109,104,306,334,258,281,2,219,81,77,3,80])).
% 43.77/43.85 cnf(376,plain,
% 43.77/43.85 (E(f44(x3761,x3762,x3763,x3764),f27(f44(x3765,f18(f23(x3761,x3762,x3763,x3764,x3766),x3766),x3767,x3768)))),
% 43.77/43.85 inference(scs_inference,[],[370,2])).
% 43.77/43.85 cnf(381,plain,
% 43.77/43.85 (~P1(f28(f44(a42,x3811,x3812,x3813)))),
% 43.77/43.85 inference(scs_inference,[],[179,355,256,370,105,267,271,2,219,81,77])).
% 43.77/43.85 cnf(382,plain,
% 43.77/43.85 (E(f28(f44(x3821,x3822,x3823,x3824)),x3821)),
% 43.77/43.85 inference(rename_variables,[],[105])).
% 43.77/43.85 cnf(383,plain,
% 43.77/43.85 (E(f28(f44(f45(x3831,x3832,x3833),x3834,x3835,x3836)),f26(f44(x3837,x3838,f17(f22(x3831,x3832,x3833,x3839),x3839),x38310)))),
% 43.77/43.85 inference(scs_inference,[],[179,355,256,370,363,105,382,267,271,2,219,81,77,3])).
% 43.77/43.85 cnf(385,plain,
% 43.77/43.85 (P2(f25(f44(x3851,x3852,x3853,f16(f21(x3854,x3855,x3856),x3856))),f16(f21(x3854,x3855,x3857),x3857))),
% 43.77/43.85 inference(scs_inference,[],[179,355,256,370,363,349,105,382,267,271,352,2,219,81,77,3,80])).
% 43.77/43.85 cnf(387,plain,
% 43.77/43.85 (~P1(f44(a42,x3871,x3872,x3873))),
% 43.77/43.85 inference(scs_inference,[],[179,355,256,370,363,349,105,382,267,271,352,2,219,81,77,3,80,190])).
% 43.77/43.85 cnf(389,plain,
% 43.77/43.85 (E(f26(f44(x3891,x3892,f17(f22(x3893,x3894,x3895,x3896),x3896),x3897)),f28(f44(f45(x3893,x3894,x3895),x3898,x3899,x38910)))),
% 43.77/43.85 inference(scs_inference,[],[383,2])).
% 43.77/43.85 cnf(392,plain,
% 43.77/43.85 (P2(f25(f44(x3921,x3922,x3923,f16(f21(x3924,x3925,x3926),x3926))),f7(f41(f16(f21(x3924,x3925,x3927),x3927),x3928)))),
% 43.77/43.85 inference(scs_inference,[],[381,279,385,383,312,2,219,81])).
% 43.77/43.85 cnf(394,plain,
% 43.77/43.85 (~P1(f27(f44(x3941,f18(f23(a42,x3942,x3943,x3944,x3945),x3945),x3946,x3947)))),
% 43.77/43.85 inference(scs_inference,[],[381,279,385,383,387,370,312,2,219,81,77])).
% 43.77/43.85 cnf(395,plain,
% 43.77/43.85 (E(f27(f44(x3951,f18(f23(x3952,x3953,x3954,x3955,x3956),x3956),x3957,x3958)),f44(x3952,x3953,x3954,x3955))),
% 43.77/43.85 inference(rename_variables,[],[370])).
% 43.77/43.85 cnf(397,plain,
% 43.77/43.85 (E(f44(x3971,x3972,x3973,x3974),f27(f44(x3975,f18(f23(x3971,x3972,x3973,x3974,x3976),x3976),x3977,x3978)))),
% 43.77/43.85 inference(rename_variables,[],[376])).
% 43.77/43.85 cnf(398,plain,
% 43.77/43.85 (P2(f27(f44(x3981,f18(f23(x3982,x3983,x3984,x3985,x3986),x3986),x3987,x3988)),f9(f8(f44(x3982,x3983,x3984,x3985),x3989),x3989))),
% 43.77/43.85 inference(scs_inference,[],[381,279,385,376,397,383,387,370,395,312,267,2,219,81,77,3,80])).
% 43.77/43.85 cnf(400,plain,
% 43.77/43.85 (~P1(f44(x4001,f18(f23(a42,x4002,x4003,x4004,x4005),x4005),x4006,x4007))),
% 43.77/43.85 inference(scs_inference,[],[381,279,385,376,397,383,387,370,395,312,267,2,219,81,77,3,80,189])).
% 43.77/43.85 cnf(406,plain,
% 43.77/43.85 (E(f45(x4061,x4062,x4063),f17(f22(x4061,x4062,x4063,x4064),x4064))),
% 43.77/43.85 inference(scs_inference,[],[108,2])).
% 43.77/43.85 cnf(412,plain,
% 43.77/43.85 (~P1(f18(f23(x4121,f18(f23(a42,x4122,x4123,x4124,x4125),x4125),x4126,x4127,x4128),x4128))),
% 43.77/43.85 inference(scs_inference,[],[368,293,398,400,108,112,97,2,219,81,77])).
% 43.77/43.85 cnf(414,plain,
% 43.77/43.85 (E(f45(x4141,x4142,x4143),f28(f44(f45(x4141,x4142,x4143),x4144,x4145,x4146)))),
% 43.77/43.85 inference(scs_inference,[],[368,293,398,389,400,363,108,112,97,2,219,81,77,3])).
% 43.77/43.85 cnf(416,plain,
% 43.77/43.85 (P2(f41(x4161,x4162),f9(f8(f16(f21(x4161,x4162,x4163),x4163),x4164),x4164))),
% 43.77/43.85 inference(scs_inference,[],[368,293,398,389,372,400,363,108,112,101,97,2,219,81,77,3,80])).
% 43.77/43.85 cnf(418,plain,
% 43.77/43.85 (E(f22(x4181,x4182,x4183,x4184),f15(f23(x4181,x4182,x4183,x4185,x4184)))),
% 43.77/43.85 inference(scs_inference,[],[111,2])).
% 43.77/43.85 cnf(420,plain,
% 43.77/43.85 (~P1(f18(f23(x4201,f18(f23(a42,x4202,x4203,x4204,x4205),x4205),x4206,x4207,x4208),x4208))),
% 43.77/43.85 inference(rename_variables,[],[412])).
% 43.77/43.85 cnf(424,plain,
% 43.77/43.85 (P2(f20(f19(f9(f8(f45(x4241,x4242,x4243),x4244),x4244),x4245),x4245),f17(f22(x4241,x4242,x4243,x4246),x4246))),
% 43.77/43.85 inference(scs_inference,[],[412,420,256,406,321,111,2,220,219,81])).
% 43.77/43.85 cnf(426,plain,
% 43.77/43.85 (~P1(f15(f23(a42,x4261,x4262,x4263,f9(f8(f32(x4264),x4265),x4265))))),
% 43.77/43.85 inference(scs_inference,[],[412,420,256,406,321,361,111,2,220,219,81,77])).
% 43.77/43.85 cnf(428,plain,
% 43.77/43.85 (E(f26(f44(x4281,x4282,f17(f22(x4283,x4284,x4285,x4286),x4286),x4287)),f17(f22(x4283,x4284,x4285,x4288),x4288))),
% 43.77/43.85 inference(scs_inference,[],[412,420,256,406,321,361,357,111,2,220,219,81,77,3])).
% 43.77/43.85 cnf(429,plain,
% 43.77/43.85 (E(f45(x4291,x4292,x4293),f17(f22(x4291,x4292,x4293,x4294),x4294))),
% 43.77/43.85 inference(rename_variables,[],[406])).
% 43.77/43.85 cnf(430,plain,
% 43.77/43.85 (P2(f17(f22(x4301,x4302,x4303,x4304),x4304),f9(f8(f45(x4301,x4302,x4303),x4305),x4305))),
% 43.77/43.85 inference(scs_inference,[],[412,420,256,406,429,321,361,357,111,267,2,220,219,81,77,3,80])).
% 43.77/43.85 cnf(432,plain,
% 43.77/43.85 (E(f17(f22(x4321,x4322,x4323,x4324),x4324),f26(f44(x4325,x4326,f17(f22(x4321,x4322,x4323,x4327),x4327),x4328)))),
% 43.77/43.85 inference(scs_inference,[],[428,2])).
% 43.77/43.85 cnf(437,plain,
% 43.77/43.85 (~P1(f7(f41(a42,x4371)))),
% 43.77/43.85 inference(scs_inference,[],[179,330,293,428,430,95,258,2,219,81,77])).
% 43.77/43.85 cnf(438,plain,
% 43.77/43.85 (E(f7(f41(x4381,x4382)),x4381)),
% 43.77/43.85 inference(rename_variables,[],[95])).
% 43.77/43.85 cnf(439,plain,
% 43.77/43.85 (E(f7(f41(f22(x4391,x4392,x4393,x4394),x4395)),f15(f23(x4391,x4392,x4393,x4396,x4394)))),
% 43.77/43.85 inference(scs_inference,[],[179,330,293,418,428,430,95,438,258,2,219,81,77,3])).
% 43.77/43.85 cnf(441,plain,
% 43.77/43.85 (P2(f15(f23(x4411,x4412,x4413,x4414,x4415)),f9(f8(f22(x4411,x4412,x4413,x4415),x4416),x4416))),
% 43.77/43.85 inference(scs_inference,[],[179,330,293,418,428,430,95,438,258,267,2,219,81,77,3,80])).
% 43.77/43.85 cnf(443,plain,
% 43.77/43.85 (~P1(f41(a42,x4431))),
% 43.77/43.85 inference(scs_inference,[],[179,330,293,418,428,430,95,438,258,267,2,219,81,77,3,80,188])).
% 43.77/43.85 cnf(445,plain,
% 43.77/43.85 (E(f15(f23(x4451,x4452,x4453,x4454,x4455)),f7(f41(f22(x4451,x4452,x4453,x4455),x4456)))),
% 43.77/43.85 inference(scs_inference,[],[439,2])).
% 43.77/43.85 cnf(450,plain,
% 43.77/43.85 (~P1(f24(f41(x4501,a42)))),
% 43.77/43.85 inference(scs_inference,[],[179,437,293,439,441,96,271,2,219,81,77])).
% 43.77/43.85 cnf(451,plain,
% 43.77/43.85 (E(f24(f41(x4511,x4512)),x4512)),
% 43.77/43.85 inference(rename_variables,[],[96])).
% 43.77/43.85 cnf(452,plain,
% 43.77/43.85 (E(f24(f41(x4521,f7(f41(f22(x4522,x4523,x4524,x4525),x4526)))),f15(f23(x4522,x4523,x4524,x4527,x4525)))),
% 43.77/43.85 inference(scs_inference,[],[179,437,293,439,441,96,451,271,2,219,81,77,3])).
% 43.77/43.85 cnf(454,plain,
% 43.77/43.85 (P2(f26(f44(x4541,x4542,f17(f22(x4543,x4544,x4545,x4546),x4546),x4547)),f9(f8(f45(x4543,x4544,x4545),x4548),x4548))),
% 43.77/43.85 inference(scs_inference,[],[179,437,293,439,441,432,430,96,451,271,2,219,81,77,3,80])).
% 43.77/43.85 cnf(458,plain,
% 43.77/43.85 (E(f15(f23(x4581,x4582,x4583,x4584,x4585)),f24(f41(x4586,f7(f41(f22(x4581,x4582,x4583,x4585),x4587)))))),
% 43.77/43.85 inference(scs_inference,[],[452,2])).
% 43.77/43.85 cnf(461,plain,
% 43.77/43.85 (P2(f26(f44(x4611,x4612,f17(f22(x4613,x4614,x4615,x4616),x4616),x4617)),f45(x4613,x4614,x4615))),
% 43.77/43.85 inference(scs_inference,[],[394,256,452,454,97,2,219,81])).
% 43.77/43.85 cnf(464,plain,
% 43.77/43.85 (~P1(f11(f22(a42,x4641,x4642,f32(x4643))))),
% 43.77/43.85 inference(scs_inference,[],[394,256,452,454,276,106,97,2,219,81,77])).
% 43.77/43.85 cnf(466,plain,
% 43.77/43.85 (E(f24(f41(x4661,f7(f41(f22(x4662,x4663,x4664,x4665),x4666)))),f7(f41(f22(x4662,x4663,x4664,x4665),x4667)))),
% 43.77/43.85 inference(scs_inference,[],[394,256,452,445,454,276,106,97,2,219,81,77,3])).
% 43.77/43.85 cnf(467,plain,
% 43.77/43.85 (E(f15(f23(x4671,x4672,x4673,x4674,x4675)),f7(f41(f22(x4671,x4672,x4673,x4675),x4676)))),
% 43.77/43.85 inference(rename_variables,[],[445])).
% 43.77/43.85 cnf(468,plain,
% 43.77/43.85 (P2(f7(f41(f22(x4681,x4682,x4683,x4684),x4685)),f9(f8(f22(x4681,x4682,x4683,x4684),x4686),x4686))),
% 43.77/43.85 inference(scs_inference,[],[394,256,452,445,467,454,441,276,106,97,2,219,81,77,3,80])).
% 43.77/43.85 cnf(476,plain,
% 43.77/43.85 (~P1(f10(f21(a42,x4761,f9(f8(f32(x4762),x4763),x4763))))),
% 43.77/43.85 inference(scs_inference,[],[426,256,468,466,290,100,258,2,219,81,77])).
% 43.77/43.85 cnf(478,plain,
% 43.77/43.85 (E(f25(f44(x4781,x4782,x4783,f45(x4784,x4785,x4786))),f28(f44(f45(x4784,x4785,x4786),x4787,x4788,x4789)))),
% 43.77/43.85 inference(scs_inference,[],[426,256,468,466,414,290,100,102,258,2,219,81,77,3])).
% 43.77/43.85 cnf(480,plain,
% 43.77/43.85 (P2(f24(f41(x4801,f7(f41(f22(x4802,x4803,x4804,x4805),x4806)))),f9(f8(f22(x4802,x4803,x4804,x4805),x4807),x4807))),
% 43.77/43.85 inference(scs_inference,[],[426,256,468,466,414,458,290,100,102,441,258,2,219,81,77,3,80])).
% 43.77/43.85 cnf(482,plain,
% 43.77/43.85 (~P1(f21(a42,x4821,f9(f8(f32(x4822),x4823),x4823)))),
% 43.77/43.85 inference(scs_inference,[],[426,256,468,466,414,458,290,100,102,441,258,2,219,81,77,3,80,185])).
% 43.77/43.85 cnf(484,plain,
% 43.77/43.85 (E(f28(f44(f45(x4841,x4842,x4843),x4844,x4845,x4846)),f25(f44(x4847,x4848,x4849,f45(x4841,x4842,x4843))))),
% 43.77/43.85 inference(scs_inference,[],[478,2])).
% 43.77/43.85 cnf(489,plain,
% 43.77/43.85 (~P1(f12(f22(a42,x4891,x4892,f9(f8(f32(x4893),x4894),x4894))))),
% 43.77/43.85 inference(scs_inference,[],[464,293,478,482,468,107,271,2,219,81,77])).
% 43.77/43.85 cnf(491,plain,
% 43.77/43.85 (E(f26(f44(x4911,x4912,f25(f44(x4913,x4914,x4915,f45(x4916,x4917,x4918))),x4919)),f28(f44(f45(x4916,x4917,x4918),x49110,x49111,x49112)))),
% 43.77/43.85 inference(scs_inference,[],[464,293,478,482,468,107,103,271,2,219,81,77,3])).
% 43.77/43.85 cnf(495,plain,
% 43.77/43.85 (E(f28(f44(f45(x4951,x4952,x4953),x4954,x4955,x4956)),f26(f44(x4957,x4958,f25(f44(x4959,x49510,x49511,f45(x4951,x4952,x4953))),x49512)))),
% 43.77/43.85 inference(scs_inference,[],[491,2])).
% 43.77/43.85 cnf(498,plain,
% 43.77/43.85 (P2(f24(f41(x4981,f7(f41(f22(x4982,x4983,x4984,x4985),x4986)))),f22(x4982,x4983,x4984,x4985))),
% 43.77/43.85 inference(scs_inference,[],[489,256,480,491,97,2,219,81])).
% 43.77/43.85 cnf(501,plain,
% 43.77/43.85 (~P1(f14(f23(a42,x5011,x5012,x5013,f9(f8(f32(x5014),x5015),x5015))))),
% 43.77/43.85 inference(scs_inference,[],[489,256,480,491,482,110,97,2,219,81,77])).
% 43.77/43.85 cnf(503,plain,
% 43.77/43.85 (E(f26(f44(x5031,x5032,f25(f44(x5033,x5034,x5035,f45(x5036,x5037,x5038))),x5039)),f25(f44(x50310,x50311,x50312,f45(x5036,x5037,x5038))))),
% 43.77/43.85 inference(scs_inference,[],[489,256,480,484,491,482,110,97,2,219,81,77,3])).
% 43.77/43.85 cnf(507,plain,
% 43.77/43.85 (E(f25(f44(x5071,x5072,x5073,f45(x5074,x5075,x5076))),f26(f44(x5077,x5078,f25(f44(x5079,x50710,x50711,f45(x5074,x5075,x5076))),x50712)))),
% 43.77/43.85 inference(scs_inference,[],[503,2])).
% 43.77/43.85 cnf(515,plain,
% 43.77/43.85 (~P1(f27(f44(x5151,a42,x5152,x5153)))),
% 43.77/43.85 inference(scs_inference,[],[179,501,412,279,503,104,441,258,2,220,219,81,77])).
% 43.77/43.85 cnf(517,plain,
% 43.77/43.85 (E(f45(x5171,x5172,x5173),f26(f44(x5174,x5175,f25(f44(x5176,x5177,x5178,f45(x5171,x5172,x5173))),x5179)))),
% 43.77/43.85 inference(scs_inference,[],[179,501,412,279,503,495,414,104,441,258,2,220,219,81,77,3])).
% 43.77/43.85 cnf(524,plain,
% 43.77/43.85 (E(f26(f44(x5241,x5242,f25(f44(x5243,x5244,x5245,f45(x5246,x5247,x5248))),x5249)),f45(x5246,x5247,x5248))),
% 43.77/43.85 inference(scs_inference,[],[517,2])).
% 43.77/43.85 cnf(529,plain,
% 43.77/43.85 (~P1(f7(f41(f16(f21(a42,x5291,x5292),x5292),x5293)))),
% 43.77/43.85 inference(scs_inference,[],[515,293,517,443,297,430,271,2,219,81,77])).
% 43.77/43.85 cnf(531,plain,
% 43.77/43.85 (E(f28(f44(f41(x5311,x5312),x5313,x5314,x5315)),f16(f21(x5311,x5312,x5316),x5316))),
% 43.77/43.85 inference(scs_inference,[],[515,293,517,443,285,105,297,430,271,2,219,81,77,3])).
% 43.77/43.85 cnf(533,plain,
% 43.77/43.85 (P2(f7(f41(f22(x5331,x5332,x5333,x5334),x5335)),f22(x5331,x5332,x5333,x5334))),
% 43.77/43.85 inference(scs_inference,[],[515,293,517,443,285,466,105,297,430,271,498,2,219,81,77,3,80])).
% 43.77/43.85 cnf(535,plain,
% 43.77/43.85 (~P1(f41(f16(f21(a42,x5351,x5352),x5352),x5353))),
% 43.77/43.85 inference(scs_inference,[],[515,293,517,443,285,466,105,297,430,271,498,2,219,81,77,3,80,188])).
% 43.77/43.85 cnf(537,plain,
% 43.77/43.85 (~P1(f16(f21(a42,x5371,x5372),x5372))),
% 43.77/43.85 inference(scs_inference,[],[515,293,517,443,285,466,105,297,430,271,498,2,219,81,77,3,80,188,223])).
% 43.77/43.85 cnf(539,plain,
% 43.77/43.85 (E(f16(f21(x5391,x5392,x5393),x5393),f28(f44(f41(x5391,x5392),x5394,x5395,x5396)))),
% 43.77/43.85 inference(scs_inference,[],[531,2])).
% 43.77/43.85 cnf(544,plain,
% 43.77/43.85 (~P1(f28(f44(f41(a42,x5441),x5442,x5443,x5444)))),
% 43.77/43.85 inference(scs_inference,[],[529,256,533,531,537,418,2,219,81,77])).
% 43.77/43.85 cnf(545,plain,
% 43.77/43.85 (E(f28(f44(f41(x5451,x5452),x5453,x5454,x5455)),f16(f21(x5451,x5452,x5456),x5456))),
% 43.77/43.85 inference(rename_variables,[],[531])).
% 43.77/43.85 cnf(546,plain,
% 43.77/43.85 (E(f20(f19(f28(f44(f41(x5461,x5462),x5463,x5464,x5465)),x5466),x5466),f16(f21(x5461,x5462,x5467),x5467))),
% 43.77/43.85 inference(scs_inference,[],[529,256,533,531,545,537,418,98,2,219,81,77,3])).
% 43.77/43.85 cnf(548,plain,
% 43.77/43.85 (P2(f17(f22(x5481,x5482,x5483,x5484),x5484),f45(x5481,x5482,x5483))),
% 43.77/43.85 inference(scs_inference,[],[529,256,533,531,545,537,428,418,98,461,2,219,81,77,3,80])).
% 43.77/43.85 cnf(550,plain,
% 43.77/43.85 (~P1(f44(f41(a42,x5501),x5502,x5503,x5504))),
% 43.77/43.85 inference(scs_inference,[],[529,256,533,531,545,537,428,418,98,461,2,219,81,77,3,80,190])).
% 43.77/43.85 cnf(552,plain,
% 43.77/43.85 (E(f16(f21(x5521,x5522,x5523),x5523),f20(f19(f28(f44(f41(x5521,x5522),x5524,x5525,x5526)),x5527),x5527))),
% 43.77/43.85 inference(scs_inference,[],[546,2])).
% 43.77/43.85 cnf(557,plain,
% 43.77/43.85 (~P1(f20(f19(f28(f44(f41(a42,x5571),x5572,x5573,x5574)),x5575),x5575))),
% 43.77/43.85 inference(scs_inference,[],[544,256,548,546,517,537,2,219,81,77])).
% 43.77/43.85 cnf(558,plain,
% 43.77/43.85 (E(f20(f19(f28(f44(f41(x5581,x5582),x5583,x5584,x5585)),x5586),x5586),f16(f21(x5581,x5582,x5587),x5587))),
% 43.77/43.85 inference(rename_variables,[],[546])).
% 43.77/43.85 cnf(559,plain,
% 43.77/43.85 (E(f20(f19(f28(f44(f41(x5591,x5592),x5593,x5594,x5595)),x5596),x5596),f28(f44(f41(x5591,x5592),x5597,x5598,x5599)))),
% 43.77/43.85 inference(scs_inference,[],[544,256,548,546,558,539,517,537,2,219,81,77,3])).
% 43.77/43.85 cnf(561,plain,
% 43.77/43.85 (P2(f28(f44(f45(x5611,x5612,x5613),x5614,x5615,x5616)),f9(f8(f45(x5611,x5612,x5613),x5617),x5617))),
% 43.77/43.85 inference(scs_inference,[],[544,256,548,546,558,539,454,389,517,537,2,219,81,77,3,80])).
% 43.77/43.85 cnf(565,plain,
% 43.77/43.85 (E(f28(f44(f41(x5651,x5652),x5653,x5654,x5655)),f20(f19(f28(f44(f41(x5651,x5652),x5656,x5657,x5658)),x5659),x5659))),
% 43.77/43.85 inference(scs_inference,[],[559,2])).
% 43.77/43.85 cnf(567,plain,
% 43.77/43.85 (~P1(f20(f19(f28(f44(f41(a42,x5671),x5672,x5673,x5674)),x5675),x5675))),
% 43.77/43.85 inference(rename_variables,[],[557])).
% 43.77/43.85 cnf(572,plain,
% 43.77/43.85 (P2(f28(f44(f45(x5721,x5722,x5723),x5724,x5725,x5726)),f9(f8(f45(x5721,x5722,x5723),x5727),x5727))),
% 43.77/43.85 inference(rename_variables,[],[561])).
% 43.77/43.85 cnf(574,plain,
% 43.77/43.85 (~P1(f24(f41(x5741,f41(a42,x5742))))),
% 43.77/43.85 inference(scs_inference,[],[557,567,529,279,561,559,319,97,2,227,219,81,77])).
% 43.77/43.85 cnf(576,plain,
% 43.77/43.85 (E(f41(x5761,x5762),f20(f19(f28(f44(f41(x5761,x5762),x5763,x5764,x5765)),x5766),x5766))),
% 43.77/43.85 inference(scs_inference,[],[557,567,529,279,561,559,552,319,285,97,2,227,219,81,77,3])).
% 43.77/43.85 cnf(578,plain,
% 43.77/43.85 (P2(f25(f44(x5781,x5782,x5783,f45(x5784,x5785,x5786))),f9(f8(f45(x5784,x5785,x5786),x5787),x5787))),
% 43.77/43.85 inference(scs_inference,[],[557,567,529,279,561,572,559,552,484,319,285,97,2,227,219,81,77,3,80])).
% 43.77/43.85 cnf(582,plain,
% 43.77/43.85 (E(f20(f19(f28(f44(f41(x5821,x5822),x5823,x5824,x5825)),x5826),x5826),f41(x5821,x5822))),
% 43.77/43.85 inference(scs_inference,[],[576,2])).
% 43.77/43.85 cnf(587,plain,
% 43.77/43.85 (~P1(f25(f44(x5871,x5872,x5873,f16(f21(a42,x5874,x5875),x5875))))),
% 43.77/43.85 inference(scs_inference,[],[574,293,578,576,345,258,2,219,81,77])).
% 43.77/43.85 cnf(589,plain,
% 43.77/43.85 (E(f7(f41(f41(x5891,x5892),x5893)),f20(f19(f28(f44(f41(x5891,x5892),x5894,x5895,x5896)),x5897),x5897))),
% 43.77/43.85 inference(scs_inference,[],[574,293,578,576,345,95,258,2,219,81,77,3])).
% 43.77/43.85 cnf(591,plain,
% 43.77/43.85 (P2(f26(f44(x5911,x5912,f25(f44(x5913,x5914,x5915,f45(x5916,x5917,x5918))),x5919)),f9(f8(f45(x5916,x5917,x5918),x59110),x59110))),
% 43.77/43.85 inference(scs_inference,[],[574,293,578,576,507,345,95,258,2,219,81,77,3,80])).
% 43.77/43.85 cnf(593,plain,
% 43.77/43.85 (~P1(f44(x5931,x5932,x5933,f16(f21(a42,x5934,x5935),x5935)))),
% 43.77/43.85 inference(scs_inference,[],[574,293,578,576,507,345,95,258,2,219,81,77,3,80,186])).
% 43.77/43.85 cnf(595,plain,
% 43.77/43.85 (E(f20(f19(f28(f44(f41(x5951,x5952),x5953,x5954,x5955)),x5956),x5956),f7(f41(f41(x5951,x5952),x5957)))),
% 43.77/43.85 inference(scs_inference,[],[589,2])).
% 43.77/43.85 cnf(598,plain,
% 43.77/43.85 (P2(f17(f22(x5981,x5982,x5983,x5984),x5984),f17(f22(x5981,x5982,x5983,x5985),x5985))),
% 43.77/43.85 inference(scs_inference,[],[450,293,589,548,406,2,219,81])).
% 43.77/43.85 cnf(600,plain,
% 43.77/43.85 (~P1(f7(f41(f41(a42,x6001),x6002)))),
% 43.77/43.85 inference(scs_inference,[],[450,557,293,589,548,406,2,219,81,77])).
% 43.77/43.85 cnf(608,plain,
% 43.77/43.85 (E(f8(x6081,x6082),f13(f23(x6081,x6083,x6084,x6085,x6082)))),
% 43.77/43.85 inference(scs_inference,[],[109,2])).
% 43.77/43.85 cnf(611,plain,
% 43.77/43.85 (P2(f25(f44(x6111,x6112,x6113,f16(f21(x6114,x6115,x6116),x6116))),f28(f44(f41(x6114,x6115),x6117,x6118,x6119)))),
% 43.77/43.85 inference(scs_inference,[],[587,256,385,539,109,2,219,81])).
% 43.77/43.85 cnf(613,plain,
% 43.77/43.85 (~P1(f18(f23(x6131,x6132,x6133,f16(f21(a42,x6134,x6135),x6135),x6136),x6136))),
% 43.77/43.85 inference(scs_inference,[],[587,256,593,385,539,109,112,2,219,81,77])).
% 43.77/43.85 cnf(615,plain,
% 43.77/43.85 (E(f28(f44(f41(x6151,x6152),x6153,x6154,x6155)),f7(f41(f41(x6151,x6152),x6156)))),
% 43.77/43.85 inference(scs_inference,[],[587,256,595,565,593,385,539,109,112,2,219,81,77,3])).
% 43.77/43.85 cnf(617,plain,
% 43.77/43.85 (P2(f28(f44(f41(x6171,x6172),x6173,x6174,x6175)),f9(f8(f16(f21(x6171,x6172,x6176),x6176),x6177),x6177))),
% 43.77/43.85 inference(scs_inference,[],[587,256,595,565,593,385,539,372,109,112,2,219,81,77,3,80])).
% 43.77/43.85 cnf(621,plain,
% 43.77/43.85 (E(f7(f41(f41(x6211,x6212),x6213)),f28(f44(f41(x6211,x6212),x6214,x6215,x6216)))),
% 43.77/43.85 inference(scs_inference,[],[615,2])).
% 43.77/43.85 cnf(623,plain,
% 43.77/43.85 (~P1(f18(f23(x6231,x6232,x6233,f16(f21(a42,x6234,x6235),x6235),x6236),x6236))),
% 43.77/43.85 inference(rename_variables,[],[613])).
% 43.77/43.85 cnf(629,plain,
% 43.77/43.85 (~P1(f27(f44(x6291,f18(f23(f41(a42,x6292),x6293,x6294,x6295,x6296),x6296),x6297,x6298)))),
% 43.77/43.85 inference(scs_inference,[],[613,623,279,615,550,561,370,271,2,220,219,81,77])).
% 43.77/43.85 cnf(631,plain,
% 43.77/43.85 (E(f10(f21(x6311,x6312,x6313)),f13(f23(x6311,x6314,x6315,x6316,x6313)))),
% 43.77/43.85 inference(scs_inference,[],[613,623,279,608,615,550,561,370,100,271,2,220,219,81,77,3])).
% 43.77/43.85 cnf(635,plain,
% 43.77/43.85 (~P1(f44(x6351,f18(f23(f41(a42,x6352),x6353,x6354,x6355,x6356),x6356),x6357,x6358))),
% 43.77/43.85 inference(scs_inference,[],[613,623,279,608,615,617,550,561,370,100,271,2,220,219,81,77,3,80,189])).
% 43.77/43.85 cnf(637,plain,
% 43.77/43.85 (~P1(f18(f23(f41(a42,x6371),x6372,x6373,x6374,x6375),x6375))),
% 43.77/43.85 inference(scs_inference,[],[613,623,279,608,615,617,550,561,370,100,271,2,220,219,81,77,3,80,189,246])).
% 43.77/43.85 cnf(639,plain,
% 43.77/43.85 (E(f13(f23(x6391,x6392,x6393,x6394,x6395)),f10(f21(x6391,x6396,x6395)))),
% 43.77/43.85 inference(scs_inference,[],[631,2])).
% 43.77/43.85 cnf(645,plain,
% 43.77/43.85 (~P1(f10(f21(a42,x6451,a1)))),
% 43.77/43.85 inference(scs_inference,[],[600,368,293,631,591,97,2,219,81,77])).
% 43.77/43.85 cnf(646,plain,
% 43.77/43.85 (E(f10(f21(x6461,x6462,x6463)),f13(f23(x6461,x6464,x6465,x6466,x6463)))),
% 43.77/43.85 inference(rename_variables,[],[631])).
% 43.77/43.85 cnf(647,plain,
% 43.77/43.85 (E(f24(f41(x6471,f10(f21(x6472,x6473,x6474)))),f13(f23(x6472,x6475,x6476,x6477,x6474)))),
% 43.77/43.85 inference(scs_inference,[],[600,368,293,631,646,591,96,97,2,219,81,77,3])).
% 43.77/43.85 cnf(649,plain,
% 43.77/43.85 (P2(f9(f8(f45(x6491,x6492,x6493),x6494),x6494),f17(f22(x6491,x6492,x6493,x6495),x6495))),
% 43.77/43.85 inference(scs_inference,[],[600,368,293,631,646,591,96,98,97,424,2,219,81,77,3,80])).
% 43.77/43.85 cnf(652,plain,
% 43.77/43.85 (~P1(f21(a42,x6521,a1))),
% 43.77/43.85 inference(scs_inference,[],[600,368,293,631,646,591,96,98,97,424,2,219,81,77,3,80,185])).
% 43.77/43.85 cnf(654,plain,
% 43.77/43.85 (E(f13(f23(x6541,x6542,x6543,x6544,x6545)),f24(f41(x6546,f10(f21(x6541,x6547,x6545)))))),
% 43.77/43.85 inference(scs_inference,[],[647,2])).
% 43.77/43.85 cnf(658,plain,
% 43.77/43.85 (P2(f9(f8(f45(x6581,x6582,x6583),x6584),x6584),f17(f22(x6581,x6582,x6583,x6585),x6585))),
% 43.77/43.85 inference(rename_variables,[],[649])).
% 43.77/43.85 cnf(659,plain,
% 43.77/43.85 (~P1(f13(f23(a42,x6591,x6592,x6593,f9(f8(f32(x6594),x6595),x6595))))),
% 43.77/43.85 inference(scs_inference,[],[476,645,293,649,639,647,432,2,219,81,77])).
% 43.77/43.85 cnf(660,plain,
% 43.77/43.85 (E(f13(f23(x6601,x6602,x6603,x6604,x6605)),f10(f21(x6601,x6606,x6605)))),
% 43.77/43.85 inference(rename_variables,[],[639])).
% 43.77/43.85 cnf(661,plain,
% 43.77/43.85 (E(f24(f41(x6611,f10(f21(x6612,x6613,x6614)))),f10(f21(x6612,x6615,x6614)))),
% 43.77/43.85 inference(scs_inference,[],[476,645,293,649,639,660,647,432,2,219,81,77,3])).
% 43.77/43.85 cnf(663,plain,
% 43.77/43.85 (P2(f9(f8(f9(f8(f45(x6631,x6632,x6633),x6634),x6634),x6635),x6635),f17(f22(x6631,x6632,x6633,x6636),x6636))),
% 43.77/43.85 inference(scs_inference,[],[476,645,293,649,658,639,660,647,432,258,2,219,81,77,3,80])).
% 43.77/43.85 cnf(665,plain,
% 43.77/43.85 (E(f10(f21(x6651,x6652,x6653)),f24(f41(x6654,f10(f21(x6651,x6655,x6653)))))),
% 43.77/43.85 inference(scs_inference,[],[661,2])).
% 43.77/43.85 cnf(671,plain,
% 43.77/43.85 (P2(f17(f22(x6711,x6712,x6713,x6714),x6714),f28(f44(f45(x6711,x6712,x6713),x6715,x6716,x6717)))),
% 43.77/43.85 inference(scs_inference,[],[629,256,661,637,548,414,2,220,219,81])).
% 43.77/43.85 cnf(673,plain,
% 43.77/43.85 (~P1(f24(f41(x6731,f10(f21(a42,x6732,f32(x6733))))))),
% 43.77/43.85 inference(scs_inference,[],[629,304,256,661,637,548,414,2,220,219,81,77])).
% 43.77/43.85 cnf(675,plain,
% 43.77/43.85 (E(f8(x6751,x6752),f24(f41(x6753,f10(f21(x6751,x6754,x6752)))))),
% 43.77/43.85 inference(scs_inference,[],[629,304,256,661,654,637,608,548,414,2,220,219,81,77,3])).
% 43.77/43.85 cnf(677,plain,
% 43.77/43.85 (P2(f26(f44(x6771,x6772,f17(f22(x6773,x6774,x6775,x6776),x6776),x6777)),f17(f22(x6773,x6774,x6775,x6778),x6778))),
% 43.77/43.85 inference(scs_inference,[],[629,304,256,661,654,637,608,548,414,432,598,2,220,219,81,77,3,80])).
% 43.77/43.85 cnf(682,plain,
% 43.77/43.85 (E(f24(f41(x6821,f10(f21(x6822,x6823,x6824)))),f8(x6822,x6824))),
% 43.77/43.85 inference(scs_inference,[],[675,2])).
% 43.77/43.85 cnf(687,plain,
% 43.77/43.85 (~P1(f13(f23(a42,x6871,x6872,x6873,f32(x6874))))),
% 43.77/43.85 inference(scs_inference,[],[673,544,293,663,675,654,108,2,219,81,77])).
% 43.77/43.85 cnf(689,plain,
% 43.77/43.85 (E(f11(f22(x6891,x6892,x6893,x6894)),f24(f41(x6895,f10(f21(x6891,x6896,x6894)))))),
% 43.77/43.85 inference(scs_inference,[],[673,544,293,663,675,654,108,106,2,219,81,77,3])).
% 43.77/43.85 cnf(691,plain,
% 43.77/43.85 (P2(f45(x6911,x6912,x6913),f17(f22(x6911,x6912,x6913,x6914),x6914))),
% 43.77/43.85 inference(scs_inference,[],[673,544,293,663,677,675,654,357,108,106,2,219,81,77,3,80])).
% 43.77/43.85 cnf(693,plain,
% 43.77/43.85 (E(f24(f41(x6931,f10(f21(x6932,x6933,x6934)))),f11(f22(x6932,x6935,x6936,x6934)))),
% 43.77/43.85 inference(scs_inference,[],[689,2])).
% 43.77/43.85 cnf(698,plain,
% 43.77/43.85 (~P1(f24(f41(x6981,f10(f21(a42,x6982,a1)))))),
% 43.77/43.85 inference(scs_inference,[],[687,256,682,691,689,263,432,2,219,81,77])).
% 43.77/43.85 cnf(700,plain,
% 43.77/43.85 (E(f26(f44(x7001,x7002,f11(f22(x7003,x7004,x7005,x7006)),x7007)),f24(f41(x7008,f10(f21(x7003,x7009,x7006)))))),
% 43.77/43.85 inference(scs_inference,[],[687,256,682,691,689,263,103,432,2,219,81,77,3])).
% 43.77/43.85 cnf(702,plain,
% 43.77/43.85 (P2(f26(f44(x7021,x7022,f17(f22(x7023,x7024,x7025,x7026),x7026),x7027)),f28(f44(f45(x7023,x7024,x7025),x7028,x7029,x70210)))),
% 43.77/43.85 inference(scs_inference,[],[687,256,682,691,689,263,103,432,671,2,219,81,77,3,80])).
% 43.77/43.85 cnf(706,plain,
% 43.77/43.85 (E(f24(f41(x7061,f10(f21(x7062,x7063,x7064)))),f26(f44(x7065,x7066,f11(f22(x7062,x7067,x7068,x7064)),x7069)))),
% 43.77/43.85 inference(scs_inference,[],[700,2])).
% 43.77/43.85 cnf(709,plain,
% 43.77/43.85 (P2(f26(f44(x7091,x7092,f17(f22(x7093,x7094,x7095,x7096),x7096),x7097)),f26(f44(x7098,x7099,f17(f22(x7093,x7094,x7095,x70910),x70910),x70911)))),
% 43.77/43.85 inference(scs_inference,[],[343,293,702,700,383,2,219,81])).
% 43.77/43.85 cnf(711,plain,
% 43.77/43.85 (~P1(f26(f44(x7111,x7112,f11(f22(a42,x7113,x7114,a1)),x7115)))),
% 43.77/43.85 inference(scs_inference,[],[698,343,293,702,700,383,2,219,81,77])).
% 43.77/43.85 cnf(713,plain,
% 43.77/43.85 (E(f10(f21(x7131,x7132,x7133)),f11(f22(x7131,x7134,x7135,x7133)))),
% 43.77/43.85 inference(scs_inference,[],[698,343,293,693,702,665,700,383,2,219,81,77,3])).
% 43.77/43.85 cnf(715,plain,
% 43.77/43.85 (P2(f24(f41(x7151,f41(x7152,x7153))),f28(f44(f41(x7152,x7153),x7154,x7155,x7156)))),
% 43.77/43.85 inference(scs_inference,[],[698,343,293,693,702,665,700,383,345,611,2,219,81,77,3,80])).
% 43.77/43.85 cnf(719,plain,
% 43.77/43.85 (~P1(f11(f22(a42,x7191,x7192,a1)))),
% 43.77/43.85 inference(scs_inference,[],[698,343,293,693,702,665,700,383,345,611,2,219,81,77,3,80,187,246])).
% 43.77/43.85 cnf(721,plain,
% 43.77/43.85 (~P1(f22(a42,x7211,x7212,a1))),
% 43.77/43.85 inference(scs_inference,[],[719,184])).
% 43.77/43.85 cnf(723,plain,
% 43.77/43.85 (E(f11(f22(x7231,x7232,x7233,x7234)),f10(f21(x7231,x7235,x7234)))),
% 43.77/43.85 inference(scs_inference,[],[713,719,184,2])).
% 43.77/43.85 cnf(728,plain,
% 43.77/43.85 (~P1(f26(f44(x7281,x7282,f11(f22(a42,x7283,x7284,f32(x7285))),x7286)))),
% 43.77/43.85 inference(scs_inference,[],[711,673,256,713,715,719,565,700,184,2,219,81,77])).
% 43.77/43.85 cnf(730,plain,
% 43.77/43.85 (E(f13(f23(x7301,x7302,x7303,x7304,x7305)),f11(f22(x7301,x7306,x7307,x7305)))),
% 43.77/43.85 inference(scs_inference,[],[711,673,256,713,715,719,639,565,700,184,2,219,81,77,3])).
% 43.77/43.85 cnf(732,plain,
% 43.77/43.85 (P2(f7(f41(f16(f21(x7321,x7322,x7323),x7323),x7324)),f16(f21(x7321,x7322,x7325),x7325))),
% 43.77/43.85 inference(scs_inference,[],[711,673,256,713,715,719,639,565,385,332,700,184,2,219,81,77,3,80])).
% 43.77/43.85 cnf(736,plain,
% 43.77/43.85 (E(f11(f22(x7361,x7362,x7363,x7364)),f13(f23(x7361,x7365,x7366,x7367,x7364)))),
% 43.77/43.85 inference(scs_inference,[],[730,2])).
% 43.77/43.85 cnf(744,plain,
% 43.77/43.85 (~P1(f12(f22(a42,x7441,x7442,a1)))),
% 43.77/43.85 inference(scs_inference,[],[728,279,730,652,637,578,107,271,2,220,219,81,77])).
% 43.77/43.85 cnf(746,plain,
% 43.77/43.85 (E(f8(x7461,x7462),f11(f22(x7461,x7463,x7464,x7462)))),
% 43.77/43.85 inference(scs_inference,[],[728,279,730,652,637,608,578,107,271,2,220,219,81,77,3])).
% 43.77/43.85 cnf(748,plain,
% 43.77/43.85 (P2(f24(f41(x7481,f41(x7482,x7483))),f7(f41(f16(f21(x7482,x7483,x7484),x7484),x7485)))),
% 43.77/43.85 inference(scs_inference,[],[728,279,730,652,637,608,578,107,345,271,392,2,220,219,81,77,3,80])).
% 43.77/43.85 cnf(750,plain,
% 43.77/43.85 (E(f21(x7501,x7502,x7503),f14(f23(x7501,x7502,x7504,x7505,x7503)))),
% 43.77/43.85 inference(scs_inference,[],[110,2])).
% 43.77/43.85 cnf(756,plain,
% 43.77/43.85 (~P1(f14(f23(a42,x7561,x7562,x7563,a1)))),
% 43.77/43.85 inference(scs_inference,[],[659,256,416,652,110,97,2,219,81,77])).
% 43.77/43.85 cnf(758,plain,
% 43.77/43.85 (E(f8(x7581,x7582),f10(f21(x7581,x7583,x7582)))),
% 43.77/43.85 inference(scs_inference,[],[659,256,746,723,416,652,110,97,2,219,81,77,3])).
% 43.77/43.85 cnf(760,plain,
% 43.77/43.85 (P2(f17(f22(x7601,x7602,x7603,x7604),x7604),f26(f44(x7605,x7606,f17(f22(x7601,x7602,x7603,x7607),x7607),x7608)))),
% 43.77/43.85 inference(scs_inference,[],[659,256,746,723,416,652,428,110,97,709,2,219,81,77,3,80])).
% 43.77/43.85 cnf(762,plain,
% 43.77/43.85 (E(x7621,f27(f44(x7622,x7621,x7623,x7624)))),
% 43.77/43.85 inference(scs_inference,[],[104,2])).
% 43.77/43.85 cnf(765,plain,
% 43.77/43.85 (P2(f24(f41(x7651,f41(x7652,x7653))),f24(f41(x7654,f41(x7652,x7653))))),
% 43.77/43.85 inference(scs_inference,[],[756,256,748,325,104,2,219,81])).
% 43.77/43.85 cnf(767,plain,
% 43.77/43.85 (~P1(f16(f21(f16(f21(a42,x7671,x7672),x7672),x7673,x7674),x7674))),
% 43.77/43.85 inference(scs_inference,[],[756,256,748,535,325,104,101,2,219,81,77])).
% 43.77/43.85 cnf(769,plain,
% 43.77/43.85 (E(f27(f44(x7691,f21(x7692,x7693,x7694),x7695,x7696)),f14(f23(x7692,x7693,x7697,x7698,x7694)))),
% 43.77/43.85 inference(scs_inference,[],[756,256,750,748,535,325,104,101,2,219,81,77,3])).
% 43.77/43.85 cnf(771,plain,
% 43.77/43.85 (P2(f28(f44(f45(x7711,x7712,x7713),x7714,x7715,x7716)),f17(f22(x7711,x7712,x7713,x7717),x7717))),
% 43.77/43.85 inference(scs_inference,[],[756,256,750,748,535,677,325,389,104,101,2,219,81,77,3,80])).
% 43.77/43.85 cnf(773,plain,
% 43.77/43.85 (~P1(f21(f16(f21(a42,x7731,x7732),x7732),x7733,f32(x7734)))),
% 43.77/43.85 inference(scs_inference,[],[756,256,750,748,535,677,325,389,104,101,2,219,81,77,3,80,222])).
% 43.77/43.85 cnf(775,plain,
% 43.77/43.85 (E(f14(f23(x7751,x7752,x7753,x7754,x7755)),f27(f44(x7756,f21(x7751,x7752,x7755),x7757,x7758)))),
% 43.77/43.85 inference(scs_inference,[],[769,2])).
% 43.77/43.85 cnf(776,plain,
% 43.77/43.85 (~P1(f21(f16(f21(a42,x7761,x7762),x7762),x7763,f9(f8(f32(x7764),x7765),x7765)))),
% 43.77/43.85 inference(scs_inference,[],[767,279,769,2,222])).
% 43.77/43.85 cnf(777,plain,
% 43.77/43.85 (~P1(f16(f21(f16(f21(a42,x7771,x7772),x7772),x7773,x7774),x7774))),
% 43.77/43.85 inference(rename_variables,[],[767])).
% 43.77/43.85 cnf(782,plain,
% 43.77/43.85 (E(x7821,f27(f44(x7822,x7821,x7823,x7824)))),
% 43.77/43.85 inference(rename_variables,[],[762])).
% 43.77/43.85 cnf(783,plain,
% 43.77/43.85 (P1(f27(f44(x7831,f9(f8(f32(x7832),x7833),x7833),x7834,x7835)))),
% 43.77/43.85 inference(scs_inference,[],[767,777,279,732,769,762,782,2,222,219,81,77])).
% 43.77/43.85 cnf(784,plain,
% 43.77/43.85 (E(x7841,f27(f44(x7842,x7841,x7843,x7844)))),
% 43.77/43.85 inference(rename_variables,[],[762])).
% 43.77/43.85 cnf(785,plain,
% 43.77/43.85 (E(f20(f19(f28(f44(f41(x7851,x7852),x7853,x7854,x7855)),x7856),x7856),f27(f44(x7857,f41(x7851,x7852),x7858,x7859)))),
% 43.77/43.85 inference(scs_inference,[],[767,777,279,582,732,769,762,782,784,2,222,219,81,77,3])).
% 43.77/43.85 cnf(786,plain,
% 43.77/43.85 (E(x7861,f27(f44(x7862,x7861,x7863,x7864)))),
% 43.77/43.85 inference(rename_variables,[],[762])).
% 43.77/43.85 cnf(787,plain,
% 43.77/43.85 (P2(f27(f44(x7871,f28(f44(f45(x7872,x7873,x7874),x7875,x7876,x7877)),x7878,x7879)),f17(f22(x7872,x7873,x7874,x78710),x78710))),
% 43.77/43.85 inference(scs_inference,[],[767,777,279,582,732,771,769,762,782,784,786,2,222,219,81,77,3,80])).
% 43.77/43.85 cnf(789,plain,
% 43.77/43.85 (E(f27(f44(x7891,f41(x7892,x7893),x7894,x7895)),f20(f19(f28(f44(f41(x7892,x7893),x7896,x7897,x7898)),x7899),x7899))),
% 43.77/43.85 inference(scs_inference,[],[785,2])).
% 43.77/43.85 cnf(793,plain,
% 43.77/43.85 (E(x7931,f27(f44(x7932,x7931,x7933,x7934)))),
% 43.77/43.85 inference(rename_variables,[],[762])).
% 43.77/43.85 cnf(794,plain,
% 43.77/43.85 (~P1(f28(f44(f41(f16(f21(a42,x7941,x7942),x7942),x7943),x7944,x7945,x7946)))),
% 43.77/43.85 inference(scs_inference,[],[179,783,767,785,533,762,531,2,219,81,77])).
% 43.77/43.85 cnf(796,plain,
% 43.77/43.85 (E(f16(f21(x7961,x7962,x7963),x7963),f27(f44(x7964,f41(x7961,x7962),x7965,x7966)))),
% 43.77/43.85 inference(scs_inference,[],[179,783,767,785,533,762,552,531,2,219,81,77,3])).
% 43.77/43.85 cnf(798,plain,
% 43.77/43.85 (P2(f27(f44(x7981,f17(f22(x7982,x7983,x7984,x7985),x7985),x7986,x7987)),f26(f44(x7988,x7989,f17(f22(x7982,x7983,x7984,x79810),x79810),x79811)))),
% 43.77/43.85 inference(scs_inference,[],[179,783,767,785,760,533,762,793,552,531,2,219,81,77,3,80])).
% 43.77/43.85 cnf(800,plain,
% 43.77/43.85 (~P1(f44(f41(f16(f21(a42,x8001,x8002),x8002),x8003),x8004,x8005,x8006))),
% 43.77/43.85 inference(scs_inference,[],[179,783,767,785,760,533,762,793,552,531,2,219,81,77,3,80,190])).
% 43.77/43.85 cnf(802,plain,
% 43.77/43.85 (E(f27(f44(x8021,f41(x8022,x8023),x8024,x8025)),f16(f21(x8022,x8023,x8026),x8026))),
% 43.77/43.85 inference(scs_inference,[],[796,2])).
% 43.77/43.85 cnf(806,plain,
% 43.77/43.85 (E(x8061,f27(f44(x8062,x8061,x8063,x8064)))),
% 43.77/43.85 inference(rename_variables,[],[762])).
% 43.77/43.85 cnf(809,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x8091,x8092,x8093),x8093),x8094)),f27(f44(x8095,f41(x8091,x8092),x8096,x8097)))),
% 43.77/43.85 inference(scs_inference,[],[794,744,783,796,621,649,306,762,2,219,81,77,3])).
% 43.77/43.85 cnf(811,plain,
% 43.77/43.85 (P2(f27(f44(x8111,f9(f8(f45(x8112,x8113,x8114),x8115),x8115),x8116,x8117)),f17(f22(x8112,x8113,x8114,x8118),x8118))),
% 43.77/43.85 inference(scs_inference,[],[794,744,783,796,621,649,306,762,806,2,219,81,77,3,80])).
% 43.77/43.85 cnf(813,plain,
% 43.77/43.85 (~P1(f41(f41(f16(f21(a42,x8131,x8132),x8132),x8133),x8134))),
% 43.77/43.85 inference(scs_inference,[],[794,744,783,796,621,649,306,762,806,2,219,81,77,3,80,188])).
% 43.77/43.85 cnf(815,plain,
% 43.77/43.85 (E(f27(f44(x8151,f41(x8152,x8153),x8154,x8155)),f7(f41(f16(f21(x8152,x8153,x8156),x8156),x8157)))),
% 43.77/43.85 inference(scs_inference,[],[809,2])).
% 43.77/43.85 cnf(822,plain,
% 43.77/43.85 (E(f10(f21(x8221,x8222,x8223)),f26(f44(x8224,x8225,f11(f22(x8221,x8226,x8227,x8223)),x8228)))),
% 43.77/43.85 inference(scs_inference,[],[600,783,767,802,809,798,706,665,357,2,219,81,77,3])).
% 43.77/43.85 cnf(824,plain,
% 43.77/43.85 (P2(f27(f44(x8241,f41(x8242,x8243),x8244,x8245)),f16(f21(x8242,x8243,x8246),x8246))),
% 43.77/43.85 inference(scs_inference,[],[600,783,767,802,809,798,706,732,665,357,2,219,81,77,3,80])).
% 43.77/43.85 cnf(833,plain,
% 43.77/43.85 (~P1(f27(f44(x8331,f41(a42,x8332),x8333,x8334)))),
% 43.77/43.85 inference(scs_inference,[],[687,529,783,824,815,822,796,2,219,81,77])).
% 43.77/43.85 cnf(835,plain,
% 43.77/43.85 (E(f8(x8351,x8352),f26(f44(x8353,x8354,f11(f22(x8351,x8355,x8356,x8352)),x8357)))),
% 43.77/43.85 inference(scs_inference,[],[687,529,783,758,824,815,822,796,2,219,81,77,3])).
% 43.77/43.85 cnf(841,plain,
% 43.77/43.85 (E(f26(f44(x8411,x8412,f11(f22(x8413,x8414,x8415,x8416)),x8417)),f8(x8413,x8416))),
% 43.77/43.85 inference(scs_inference,[],[835,2])).
% 43.77/43.85 cnf(846,plain,
% 43.77/43.85 (~P1(f18(f23(x8461,f18(f23(f41(a42,x8462),x8463,x8464,x8465,x8466),x8466),x8467,x8468,x8469),x8469))),
% 43.77/43.85 inference(scs_inference,[],[833,783,835,635,691,762,112,2,219,81,77])).
% 43.77/43.85 cnf(848,plain,
% 43.77/43.85 (E(f28(f44(f21(x8481,x8482,x8483),x8484,x8485,x8486)),f14(f23(x8481,x8482,x8487,x8488,x8483)))),
% 43.77/43.85 inference(scs_inference,[],[833,783,835,635,691,750,105,762,112,2,219,81,77,3])).
% 43.77/43.85 cnf(850,plain,
% 43.77/43.85 (P2(f20(f19(f28(f44(f41(x8501,x8502),x8503,x8504,x8505)),x8506),x8506),f16(f21(x8501,x8502,x8507),x8507))),
% 43.77/43.85 inference(scs_inference,[],[833,783,835,789,635,691,750,824,105,762,112,2,219,81,77,3,80])).
% 43.77/43.85 cnf(852,plain,
% 43.77/43.85 (E(f14(f23(x8521,x8522,x8523,x8524,x8525)),f28(f44(f21(x8521,x8522,x8525),x8526,x8527,x8528)))),
% 43.77/43.85 inference(scs_inference,[],[848,2])).
% 43.77/43.85 cnf(857,plain,
% 43.77/43.85 (~P1(f15(f23(a42,x8571,x8572,x8573,a1)))),
% 43.77/43.85 inference(scs_inference,[],[381,783,811,848,721,108,111,2,219,81,77])).
% 43.77/43.85 cnf(859,plain,
% 43.77/43.85 (E(f7(f41(f28(f44(f21(x8591,x8592,x8593),x8594,x8595,x8596)),x8597)),f14(f23(x8591,x8592,x8598,x8599,x8593)))),
% 43.77/43.85 inference(scs_inference,[],[381,783,811,848,721,108,111,95,2,219,81,77,3])).
% 43.77/43.85 cnf(861,plain,
% 43.77/43.85 (P2(f25(f44(x8611,x8612,x8613,f45(x8614,x8615,x8616))),f17(f22(x8614,x8615,x8616,x8617),x8617))),
% 43.77/43.85 inference(scs_inference,[],[381,783,811,848,721,771,484,108,111,95,2,219,81,77,3,80])).
% 43.77/43.85 cnf(863,plain,
% 43.77/43.85 (E(f14(f23(x8631,x8632,x8633,x8634,x8635)),f7(f41(f28(f44(f21(x8631,x8632,x8635),x8636,x8637,x8638)),x8639)))),
% 43.77/43.85 inference(scs_inference,[],[859,2])).
% 43.77/43.85 cnf(870,plain,
% 43.77/43.85 (E(f7(f41(f28(f44(f21(x8701,x8702,x8703),x8704,x8705,x8706)),x8707)),f27(f44(x8708,f21(x8701,x8702,x8703),x8709,x87010)))),
% 43.77/43.85 inference(scs_inference,[],[857,783,861,859,775,452,762,2,219,81,77,3])).
% 43.77/43.85 cnf(872,plain,
% 43.77/43.85 (P2(f16(f21(x8721,x8722,x8723),x8723),f16(f21(x8721,x8722,x8724),x8724))),
% 43.77/43.85 inference(scs_inference,[],[857,783,861,859,775,802,452,824,762,2,219,81,77,3,80])).
% 43.77/43.85 cnf(881,plain,
% 43.77/43.85 (E(f27(f44(x8811,f21(x8812,x8813,x8814),x8815,x8816)),f7(f41(f28(f44(f21(x8812,x8813,x8814),x8817,x8818,x8819)),x88110)))),
% 43.77/43.85 inference(scs_inference,[],[870,2])).
% 43.77/43.85 cnf(888,plain,
% 43.77/43.85 (E(f27(f44(x8881,f21(x8882,x8883,x8884),x8885,x8886)),f28(f44(f21(x8882,x8883,x8884),x8887,x8888,x8889)))),
% 43.77/43.85 inference(scs_inference,[],[515,783,872,852,870,773,769,552,107,2,219,81,77,3])).
% 43.77/43.85 cnf(890,plain,
% 43.77/43.85 (P2(f27(f44(x8901,f9(f8(x8902,x8903),x8903),x8904,x8905)),f9(f8(x8902,x8906),x8906))),
% 43.77/43.85 inference(scs_inference,[],[515,783,872,852,870,773,769,552,107,281,762,2,219,81,77,3,80])).
% 43.77/43.85 cnf(892,plain,
% 43.77/43.85 (~P1(f22(f16(f21(a42,x8921,x8922),x8922),x8923,x8924,f32(x8925)))),
% 43.77/43.85 inference(scs_inference,[],[515,783,872,852,870,773,769,552,107,281,762,2,219,81,77,3,80,183])).
% 43.77/43.85 cnf(894,plain,
% 43.77/43.85 (E(f28(f44(f21(x8941,x8942,x8943),x8944,x8945,x8946)),f27(f44(x8947,f21(x8941,x8942,x8943),x8948,x8949)))),
% 43.77/43.85 inference(scs_inference,[],[888,2])).
% 43.77/43.85 cnf(897,plain,
% 43.77/43.85 (P2(f20(f19(f28(f44(f41(x8971,x8972),x8973,x8974,x8975)),x8976),x8976),f28(f44(f41(x8971,x8972),x8977,x8978,x8979)))),
% 43.77/43.85 inference(scs_inference,[],[317,783,850,888,539,2,219,81])).
% 43.77/43.85 cnf(899,plain,
% 43.77/43.85 (~P1(f25(f44(x8991,x8992,x8993,a42)))),
% 43.77/43.85 inference(scs_inference,[],[179,317,783,850,888,539,102,2,219,81,77])).
% 43.77/43.85 cnf(901,plain,
% 43.77/43.85 (E(f21(x9011,x9012,x9013),f7(f41(f28(f44(f21(x9011,x9012,x9013),x9014,x9015,x9016)),x9017)))),
% 43.77/43.85 inference(scs_inference,[],[179,317,783,850,888,863,750,539,102,2,219,81,77,3])).
% 43.77/43.85 cnf(903,plain,
% 43.77/43.85 (P2(f28(f44(f41(x9031,x9032),x9033,x9034,x9035)),f16(f21(x9031,x9032,x9036),x9036))),
% 43.77/43.85 inference(scs_inference,[],[179,317,783,850,888,863,872,750,539,102,2,219,81,77,3,80])).
% 43.77/43.85 cnf(907,plain,
% 43.77/43.85 (E(f7(f41(f28(f44(f21(x9071,x9072,x9073),x9074,x9075,x9076)),x9077)),f21(x9071,x9072,x9073))),
% 43.77/43.85 inference(scs_inference,[],[901,2])).
% 43.77/43.85 cnf(912,plain,
% 43.77/43.85 (~P1(f26(f44(x9121,x9122,a42,x9123)))),
% 43.77/43.85 inference(scs_inference,[],[179,899,783,890,901,103,762,2,219,81,77])).
% 43.77/43.85 cnf(914,plain,
% 43.77/43.85 (E(f24(f41(x9141,f21(x9142,x9143,x9144))),f7(f41(f28(f44(f21(x9142,x9143,x9144),x9145,x9146,x9147)),x9148)))),
% 43.77/43.85 inference(scs_inference,[],[179,899,783,890,901,96,103,762,2,219,81,77,3])).
% 43.77/43.85 cnf(916,plain,
% 43.77/43.85 (P2(f7(f41(f41(x9161,x9162),x9163)),f16(f21(x9161,x9162,x9164),x9164))),
% 43.77/43.85 inference(scs_inference,[],[179,899,783,890,903,901,615,96,103,762,2,219,81,77,3,80])).
% 43.77/43.85 cnf(920,plain,
% 43.77/43.85 (E(f7(f41(f28(f44(f21(x9201,x9202,x9203),x9204,x9205,x9206)),x9207)),f24(f41(x9208,f21(x9201,x9202,x9203))))),
% 43.77/43.85 inference(scs_inference,[],[914,2])).
% 43.77/43.85 cnf(923,plain,
% 43.77/43.85 (P2(f7(f41(f41(x9231,x9232),x9233)),f27(f44(x9234,f41(x9231,x9232),x9235,x9236)))),
% 43.77/43.85 inference(scs_inference,[],[912,783,916,914,796,2,219,81])).
% 43.77/43.85 cnf(925,plain,
% 43.77/43.85 (~P1(f16(f21(f41(f16(f21(a42,x9251,x9252),x9252),x9253),x9254,x9255),x9255))),
% 43.77/43.85 inference(scs_inference,[],[912,783,916,914,813,796,101,2,219,81,77])).
% 43.77/43.85 cnf(927,plain,
% 43.77/43.85 (E(f28(f44(f21(x9271,x9272,x9273),x9274,x9275,x9276)),f7(f41(f28(f44(f21(x9271,x9272,x9273),x9277,x9278,x9279)),x92710)))),
% 43.77/43.85 inference(scs_inference,[],[912,783,916,894,914,881,813,796,101,2,219,81,77,3])).
% 43.77/43.85 cnf(938,plain,
% 43.77/43.85 (E(f28(f44(f21(x9381,x9382,x9383),x9384,x9385,x9386)),f24(f41(x9387,f21(x9381,x9382,x9383))))),
% 43.77/43.85 inference(scs_inference,[],[464,783,787,920,927,800,108,112,2,219,81,77,3])).
% 43.77/43.85 cnf(940,plain,
% 43.77/43.85 (P2(f25(f44(x9401,x9402,x9403,f16(f21(x9404,x9405,x9406),x9406))),f24(f41(x9407,f41(x9404,x9405))))),
% 43.77/43.85 inference(scs_inference,[],[464,783,787,920,927,800,349,108,112,765,2,219,81,77,3,80])).
% 43.77/43.85 cnf(942,plain,
% 43.77/43.85 (E(f24(f41(x9421,f21(x9422,x9423,x9424))),f28(f44(f21(x9422,x9423,x9424),x9425,x9426,x9427)))),
% 43.77/43.85 inference(scs_inference,[],[938,2])).
% 43.77/43.85 cnf(947,plain,
% 43.77/43.85 (~P1(f15(f23(f16(f21(a42,x9471,x9472),x9472),x9473,x9474,x9475,f32(x9476))))),
% 43.77/43.85 inference(scs_inference,[],[336,783,938,892,916,312,111,2,219,81,77])).
% 43.77/43.85 cnf(949,plain,
% 43.77/43.85 (E(f26(f44(x9491,x9492,f11(f22(x9493,x9494,x9495,x9496)),x9497)),f11(f22(x9493,x9498,x9499,x9496)))),
% 43.77/43.85 inference(scs_inference,[],[336,783,841,938,892,916,746,312,111,2,219,81,77,3])).
% 43.77/43.85 cnf(951,plain,
% 43.77/43.85 (P2(f7(f41(f16(f21(x9511,x9512,x9513),x9513),x9514)),f24(f41(x9515,f41(x9511,x9512))))),
% 43.77/43.85 inference(scs_inference,[],[336,783,841,938,940,892,916,746,312,332,111,2,219,81,77,3,80])).
% 43.77/43.85 cnf(953,plain,
% 43.77/43.85 (~P1(f23(f16(f21(a42,x9531,x9532),x9532),x9533,x9534,x9535,f32(x9536)))),
% 43.77/43.85 inference(scs_inference,[],[336,783,841,938,940,892,916,746,312,332,111,2,219,81,77,3,80,180])).
% 43.77/43.85 cnf(962,plain,
% 43.77/43.85 (E(f26(f44(x9621,x9622,f11(f22(x9623,x9624,x9625,x9626)),x9627)),f13(f23(x9623,x9628,x9629,x96210,x9626)))),
% 43.77/43.85 inference(scs_inference,[],[947,953,783,736,949,951,319,439,2,219,81,77,3])).
% 43.77/43.85 cnf(964,plain,
% 43.77/43.85 (P2(f7(f41(f16(f21(x9641,x9642,x9643),x9643),x9644)),f28(f44(f41(x9641,x9642),x9645,x9646,x9647)))),
% 43.77/43.85 inference(scs_inference,[],[947,953,783,736,949,951,715,319,439,2,219,81,77,3,80])).
% 43.77/43.85 cnf(966,plain,
% 43.77/43.85 (~P1(f41(f22(f16(f21(a42,x9661,x9662),x9662),x9663,x9664,f32(x9665)),x9666))),
% 43.77/43.85 inference(scs_inference,[],[947,953,783,736,949,951,715,319,439,2,219,81,77,3,80,188])).
% 43.77/43.85 cnf(977,plain,
% 43.77/43.85 (P2(f41(x9771,x9772),f28(f44(f41(x9771,x9772),x9773,x9774,x9775)))),
% 43.77/43.85 inference(scs_inference,[],[756,783,962,942,776,582,861,938,107,432,897,2,219,81,77,3,80])).
% 43.77/43.85 cnf(981,plain,
% 43.77/43.85 (E(x9811,f28(f44(x9811,x9812,x9813,x9814)))),
% 43.77/43.85 inference(scs_inference,[],[105,2])).
% 43.77/43.85 cnf(986,plain,
% 43.77/43.85 (~P1(f14(f23(f16(f21(a42,x9861,x9862),x9862),x9863,x9864,x9865,f32(x9866))))),
% 43.77/43.85 inference(scs_inference,[],[437,783,977,773,565,105,110,2,219,81,77])).
% 43.77/43.85 cnf(988,plain,
% 43.77/43.85 (E(f27(f44(x9881,f41(x9882,x9883),x9884,x9885)),f7(f41(f41(x9882,x9883),x9886)))),
% 43.77/43.85 inference(scs_inference,[],[437,783,977,595,789,773,565,105,110,2,219,81,77,3])).
% 43.77/43.85 cnf(990,plain,
% 43.77/43.85 (P2(f28(f44(f41(x9901,x9902),x9903,x9904,x9905)),f27(f44(x9906,f41(x9901,x9902),x9907,x9908)))),
% 43.77/43.85 inference(scs_inference,[],[437,783,977,595,621,789,773,565,105,110,923,2,219,81,77,3,80])).
% 43.77/43.85 cnf(992,plain,
% 43.77/43.85 (E(f7(f41(f41(x9921,x9922),x9923)),f27(f44(x9924,f41(x9921,x9922),x9925,x9926)))),
% 43.77/43.85 inference(scs_inference,[],[988,2])).
% 43.77/43.85 cnf(997,plain,
% 43.77/43.85 (~P1(f27(f44(x9971,f21(f16(f21(a42,x9972,x9973),x9973),x9974,f32(x9975)),x9976,x9977)))),
% 43.77/43.85 inference(scs_inference,[],[986,450,783,981,988,990,769,2,219,81,77])).
% 43.77/43.85 cnf(999,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x9991,x9992,x9993),x9993),x9994)),f7(f41(f41(x9991,x9992),x9995)))),
% 43.77/43.85 inference(scs_inference,[],[986,450,783,981,988,990,769,809,2,219,81,77,3])).
% 43.77/43.85 cnf(1010,plain,
% 43.77/43.85 (~P1(f28(f44(f21(f16(f21(a42,x10101,x10102),x10102),x10103,f32(x10104)),x10105,x10106,x10107)))),
% 43.77/43.85 inference(scs_inference,[],[997,645,783,999,890,981,894,2,219,81,77])).
% 43.77/43.85 cnf(1013,plain,
% 43.77/43.85 (E(f7(f41(f16(f21(x10131,x10132,x10133),x10133),x10134)),f7(f41(f41(x10131,x10132),x10135)))),
% 43.77/43.85 inference(rename_variables,[],[999])).
% 43.77/43.85 cnf(1014,plain,
% 43.77/43.85 (P2(f7(f41(f41(x10141,x10142),x10143)),f28(f44(f41(x10141,x10142),x10144,x10145,x10146)))),
% 43.77/43.85 inference(scs_inference,[],[997,645,783,999,1013,964,890,981,894,299,2,219,81,77,3,80])).
% 43.77/43.85 cnf(1018,plain,
% 43.77/43.85 (E(x10181,f7(f41(x10181,x10182)))),
% 43.77/43.85 inference(scs_inference,[],[95,2])).
% 43.77/43.85 cnf(1027,plain,
% 43.77/43.85 (P2(f27(f44(x10271,f41(x10272,x10273),x10274,x10275)),f28(f44(f41(x10272,x10273),x10276,x10277,x10278)))),
% 43.77/43.85 inference(scs_inference,[],[1010,544,783,992,1014,942,920,914,981,95,2,219,81,77,3,80])).
% 43.77/43.85 cnf(1031,plain,
% 43.77/43.85 (E(x10311,f24(f41(x10312,x10311)))),
% 43.77/43.85 inference(scs_inference,[],[96,2])).
% 43.77/43.85 cnf(1035,plain,
% 43.77/43.85 (E(x10351,f7(f41(x10351,x10352)))),
% 43.77/43.85 inference(rename_variables,[],[1018])).
% 43.77/43.85 cnf(1036,plain,
% 43.77/43.85 (~P1(f16(f21(f22(f16(f21(a42,x10361,x10362),x10362),x10363,x10364,f32(x10365)),x10366,x10367),x10367))),
% 43.77/43.85 inference(scs_inference,[],[953,293,1018,1027,966,96,101,2,219,81,77])).
% 43.77/43.85 cnf(1038,plain,
% 43.77/43.85 (E(f7(f41(f28(f44(f21(x10381,x10382,x10383),x10384,x10385,x10386)),x10387)),f7(f41(f21(x10381,x10382,x10383),x10388)))),
% 43.77/43.85 inference(scs_inference,[],[953,293,907,1018,1035,1027,966,96,101,2,219,81,77,3])).
% 43.77/43.85 cnf(1046,plain,
% 43.77/43.85 (E(x10461,f24(f41(x10462,x10461)))),
% 43.77/43.85 inference(rename_variables,[],[1031])).
% 43.77/43.85 cnf(1047,plain,
% 43.77/43.85 (~P1(f27(f44(x10471,f41(f22(f16(f21(a42,x10472,x10473),x10473),x10474,x10475,f32(x10476)),x10477),x10478,x10479)))),
% 43.77/43.85 inference(scs_inference,[],[1036,574,783,1031,1038,903,802,2,219,81,77])).
% 43.77/43.85 cnf(1049,plain,
% 43.77/43.85 (E(f26(f44(x10491,x10492,f25(f44(x10493,x10494,x10495,f45(x10496,x10497,x10498))),x10499)),f24(f41(x104910,f45(x10496,x10497,x10498))))),
% 43.77/43.85 inference(scs_inference,[],[1036,574,783,524,1031,1046,1038,903,802,2,219,81,77,3])).
% 43.77/43.85 cnf(1065,plain,
% 43.77/43.85 (E(x10651,f7(f41(x10651,x10652)))),
% 43.77/43.85 inference(rename_variables,[],[1018])).
% 43.77/43.85 cnf(1066,plain,
% 43.77/43.85 (P1(f7(f41(f32(x10661),x10662)))),
% 43.77/43.85 inference(scs_inference,[],[1047,846,925,256,1049,1018,1065,977,2,222,220,219,81,77])).
% 43.77/43.85 cnf(1072,plain,
% 43.77/43.85 (P1(f58(f11(f7(f41(f32(x10721),x10722)))))),
% 43.77/43.85 inference(scs_inference,[],[1066,193,184])).
% 43.77/43.85 cnf(2505,plain,
% 43.77/43.85 (P1(f56(f46(a1)))),
% 43.77/43.85 inference(scs_inference,[],[82,200,201])).
% 43.77/43.85 cnf(2506,plain,
% 43.77/43.85 (P1(f46(a1))),
% 43.77/43.85 inference(scs_inference,[],[2505,213])).
% 43.77/43.85 cnf(2518,plain,
% 43.77/43.85 (~P1(f47(x25181))+~P1(f48(x25182))+~P1(f49(x25183))+P1(f53(a42))),
% 43.77/43.85 inference(scs_inference,[],[2506,230])).
% 43.77/43.85 cnf(2657,plain,
% 43.77/43.85 (P1(f47(f48(a1)))),
% 43.77/43.85 inference(scs_inference,[],[82,202,203])).
% 43.77/43.85 cnf(2658,plain,
% 43.77/43.85 (~P1(f48(x26581))+~P1(f49(x26582))+P1(f53(a42))),
% 43.77/43.85 inference(scs_inference,[],[2657,2518])).
% 43.77/43.85 cnf(2659,plain,
% 43.77/43.85 (P1(f48(a1))),
% 43.77/43.85 inference(scs_inference,[],[2657,215])).
% 43.77/43.85 cnf(2687,plain,
% 43.77/43.85 (~P1(f49(x26871))+P1(f53(a42))),
% 43.77/43.85 inference(scs_inference,[],[2659,2658])).
% 43.77/43.85 cnf(2816,plain,
% 43.77/43.85 (P1(f49(f11(f7(f41(f32(x28161),x28162)))))),
% 43.77/43.85 inference(scs_inference,[],[1072,204,206])).
% 43.77/43.85 cnf(2817,plain,
% 43.77/43.85 (P1(f53(a42))),
% 43.77/43.85 inference(scs_inference,[],[2816,2687])).
% 43.77/43.85 cnf(2829,plain,
% 43.77/43.85 ($false),
% 43.77/43.85 inference(scs_inference,[],[179,2817,210]),
% 43.77/43.85 ['proof']).
% 43.77/43.85 % SZS output end Proof
% 43.77/43.85 % Total time :43.020000s
%------------------------------------------------------------------------------