TSTP Solution File: SWW956+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW956+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:15:54 EDT 2023
% Result : Theorem 1.80s 1.86s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW956+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 17:29:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 1.80/1.84 %-------------------------------------------
% 1.80/1.84 % File :CSE---1.6
% 1.80/1.84 % Problem :theBenchmark
% 1.80/1.84 % Transform :cnf
% 1.80/1.84 % Format :tptp:raw
% 1.80/1.84 % Command :java -jar mcs_scs.jar %d %s
% 1.80/1.84
% 1.80/1.84 % Result :Theorem 1.210000s
% 1.80/1.84 % Output :CNFRefutation 1.210000s
% 1.80/1.84 %-------------------------------------------
% 1.80/1.84 %--------------------------------------------------------------------------
% 1.80/1.84 % File : SWW956+1 : TPTP v8.1.2. Released v7.4.0.
% 1.80/1.84 % Domain : Software Verification
% 1.80/1.84 % Problem : Attack on Diffie-Hellman Key Exchange Protocol
% 1.80/1.84 % Version : [LT19] axioms : Especial.
% 1.80/1.84 % English : Attack demonstrates violation of secrecy property.
% 1.80/1.84
% 1.80/1.84 % Refs : [BO97] Bull & Otway (1997), The Authentication Protocol
% 1.80/1.84 % : [RS98] Ryan & Schneider (1998), An Attack on a Recursive Auth
% 1.80/1.84 % : [LT19] Li & Tiu (2019), Combining ProVerif and Automated Theo
% 1.80/1.84 % : [Li20] Li (2020), Email to Geoff Sutcliffe
% 1.80/1.84 % Source : [Li20]
% 1.80/1.84 % Names : DH.p [LT20]
% 1.80/1.84
% 1.80/1.84 % Status : Theorem
% 1.80/1.84 % Rating : 0.44 v8.1.0, 0.39 v7.5.0, 0.47 v7.4.0
% 1.80/1.84 % Syntax : Number of formulae : 94 ( 70 unt; 0 def)
% 1.80/1.84 % Number of atoms : 127 ( 57 equ)
% 1.80/1.84 % Maximal formula atoms : 3 ( 1 avg)
% 1.80/1.84 % Number of connectives : 88 ( 55 ~; 0 |; 9 &)
% 1.80/1.84 % ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% 1.80/1.84 % Maximal formula depth : 6 ( 2 avg)
% 1.80/1.84 % Maximal term depth : 5 ( 1 avg)
% 1.80/1.84 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 1.80/1.84 % Number of functors : 25 ( 25 usr; 13 con; 0-2 aty)
% 1.80/1.84 % Number of variables : 46 ( 46 !; 0 ?)
% 1.80/1.84 % SPC : FOF_THM_RFO_SEQ
% 1.80/1.84
% 1.80/1.84 % Comments : Generated by a modified version of ProVerif used in the
% 1.80/1.84 % ProVerif-ATP project [LT19].
% 1.80/1.84 %--------------------------------------------------------------------------
% 1.80/1.84 fof(ax0,axiom,
% 1.80/1.84 constr_CONST_0x30 != constr_CONST_1 ).
% 1.80/1.84
% 1.80/1.84 fof(ax1,axiom,
% 1.80/1.85 constr_CONST_0x30 != constr_CONST_2 ).
% 1.80/1.85
% 1.80/1.85 fof(ax2,axiom,
% 1.80/1.85 constr_CONST_0x30 != constr_CONST_3 ).
% 1.80/1.85
% 1.80/1.85 fof(ax3,axiom,
% 1.80/1.85 constr_CONST_0x30 != constr_CONST_4 ).
% 1.80/1.85
% 1.80/1.85 fof(ax4,axiom,
% 1.80/1.85 constr_CONST_0x30 != name_G_8 ).
% 1.80/1.85
% 1.80/1.85 fof(ax5,axiom,
% 1.80/1.85 constr_CONST_0x30 != name_Na ).
% 1.80/1.85
% 1.80/1.85 fof(ax6,axiom,
% 1.80/1.85 constr_CONST_0x30 != name_Nb ).
% 1.80/1.85
% 1.80/1.85 fof(ax7,axiom,
% 1.80/1.85 constr_CONST_0x30 != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax8,axiom,
% 1.80/1.85 constr_CONST_0x30 != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax9,axiom,
% 1.80/1.85 constr_CONST_0x30 != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax10,axiom,
% 1.80/1.85 constr_CONST_1 != constr_CONST_2 ).
% 1.80/1.85
% 1.80/1.85 fof(ax11,axiom,
% 1.80/1.85 constr_CONST_1 != constr_CONST_3 ).
% 1.80/1.85
% 1.80/1.85 fof(ax12,axiom,
% 1.80/1.85 constr_CONST_1 != constr_CONST_4 ).
% 1.80/1.85
% 1.80/1.85 fof(ax13,axiom,
% 1.80/1.85 constr_CONST_1 != name_G_8 ).
% 1.80/1.85
% 1.80/1.85 fof(ax14,axiom,
% 1.80/1.85 constr_CONST_1 != name_Na ).
% 1.80/1.85
% 1.80/1.85 fof(ax15,axiom,
% 1.80/1.85 constr_CONST_1 != name_Nb ).
% 1.80/1.85
% 1.80/1.85 fof(ax16,axiom,
% 1.80/1.85 constr_CONST_1 != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax17,axiom,
% 1.80/1.85 constr_CONST_1 != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax18,axiom,
% 1.80/1.85 constr_CONST_1 != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax19,axiom,
% 1.80/1.85 constr_CONST_2 != constr_CONST_3 ).
% 1.80/1.85
% 1.80/1.85 fof(ax20,axiom,
% 1.80/1.85 constr_CONST_2 != constr_CONST_4 ).
% 1.80/1.85
% 1.80/1.85 fof(ax21,axiom,
% 1.80/1.85 constr_CONST_2 != name_G_8 ).
% 1.80/1.85
% 1.80/1.85 fof(ax22,axiom,
% 1.80/1.85 constr_CONST_2 != name_Na ).
% 1.80/1.85
% 1.80/1.85 fof(ax23,axiom,
% 1.80/1.85 constr_CONST_2 != name_Nb ).
% 1.80/1.85
% 1.80/1.85 fof(ax24,axiom,
% 1.80/1.85 constr_CONST_2 != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax25,axiom,
% 1.80/1.85 constr_CONST_2 != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax26,axiom,
% 1.80/1.85 constr_CONST_2 != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax27,axiom,
% 1.80/1.85 constr_CONST_3 != constr_CONST_4 ).
% 1.80/1.85
% 1.80/1.85 fof(ax28,axiom,
% 1.80/1.85 constr_CONST_3 != name_G_8 ).
% 1.80/1.85
% 1.80/1.85 fof(ax29,axiom,
% 1.80/1.85 constr_CONST_3 != name_Na ).
% 1.80/1.85
% 1.80/1.85 fof(ax30,axiom,
% 1.80/1.85 constr_CONST_3 != name_Nb ).
% 1.80/1.85
% 1.80/1.85 fof(ax31,axiom,
% 1.80/1.85 constr_CONST_3 != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax32,axiom,
% 1.80/1.85 constr_CONST_3 != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax33,axiom,
% 1.80/1.85 constr_CONST_3 != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax34,axiom,
% 1.80/1.85 constr_CONST_4 != name_G_8 ).
% 1.80/1.85
% 1.80/1.85 fof(ax35,axiom,
% 1.80/1.85 constr_CONST_4 != name_Na ).
% 1.80/1.85
% 1.80/1.85 fof(ax36,axiom,
% 1.80/1.85 constr_CONST_4 != name_Nb ).
% 1.80/1.85
% 1.80/1.85 fof(ax37,axiom,
% 1.80/1.85 constr_CONST_4 != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax38,axiom,
% 1.80/1.85 constr_CONST_4 != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax39,axiom,
% 1.80/1.85 constr_CONST_4 != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax40,axiom,
% 1.80/1.85 name_G_8 != name_Na ).
% 1.80/1.85
% 1.80/1.85 fof(ax41,axiom,
% 1.80/1.85 name_G_8 != name_Nb ).
% 1.80/1.85
% 1.80/1.85 fof(ax42,axiom,
% 1.80/1.85 name_G_8 != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax43,axiom,
% 1.80/1.85 name_G_8 != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax44,axiom,
% 1.80/1.85 name_G_8 != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax45,axiom,
% 1.80/1.85 name_Na != name_Nb ).
% 1.80/1.85
% 1.80/1.85 fof(ax46,axiom,
% 1.80/1.85 name_Na != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax47,axiom,
% 1.80/1.85 name_Na != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax48,axiom,
% 1.80/1.85 name_Na != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax49,axiom,
% 1.80/1.85 name_Nb != name_P_7 ).
% 1.80/1.85
% 1.80/1.85 fof(ax50,axiom,
% 1.80/1.85 name_Nb != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax51,axiom,
% 1.80/1.85 name_Nb != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax52,axiom,
% 1.80/1.85 name_P_7 != name_c ).
% 1.80/1.85
% 1.80/1.85 fof(ax53,axiom,
% 1.80/1.85 name_P_7 != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax54,axiom,
% 1.80/1.85 name_c != name_objective ).
% 1.80/1.85
% 1.80/1.85 fof(ax55,axiom,
% 1.80/1.85 ! [VAR_K_0X30,VAR_M_0X30] : constr_dec(constr_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30 ).
% 1.80/1.85
% 1.80/1.85 fof(ax56,axiom,
% 1.80/1.85 ! [VAR_G_0X30,VAR_P_0X30,VAR_X_0X30,VAR_Y_0X30] : constr_mod(constr_exp(constr_exp(VAR_G_0X30,VAR_X_0X30),VAR_Y_0X30),VAR_P_0X30) = constr_mod(constr_exp(constr_exp(VAR_G_0X30,VAR_Y_0X30),VAR_X_0X30),VAR_P_0X30) ).
% 1.80/1.85
% 1.80/1.85 fof(ax57,axiom,
% 1.80/1.85 pred_attacker(tuple_true) ).
% 1.80/1.85
% 1.80/1.85 fof(ax58,axiom,
% 1.80/1.85 ! [VAR_V_30X30,VAR_V_31] :
% 1.80/1.85 ( ( pred_attacker(VAR_V_30X30)
% 1.80/1.85 & pred_attacker(VAR_V_31) )
% 1.80/1.85 => pred_attacker(constr_mod(VAR_V_30X30,VAR_V_31)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax59,axiom,
% 1.80/1.85 pred_attacker(tuple_false) ).
% 1.80/1.85
% 1.80/1.85 fof(ax60,axiom,
% 1.80/1.85 ! [VAR_V_34,VAR_V_35] :
% 1.80/1.85 ( ( pred_attacker(VAR_V_34)
% 1.80/1.85 & pred_attacker(VAR_V_35) )
% 1.80/1.85 => pred_attacker(constr_exp(VAR_V_34,VAR_V_35)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax61,axiom,
% 1.80/1.85 ! [VAR_V_38,VAR_V_39] :
% 1.80/1.85 ( ( pred_attacker(VAR_V_38)
% 1.80/1.85 & pred_attacker(VAR_V_39) )
% 1.80/1.85 => pred_attacker(constr_enc(VAR_V_38,VAR_V_39)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax62,axiom,
% 1.80/1.85 ! [VAR_V_42,VAR_V_43] :
% 1.80/1.85 ( ( pred_attacker(VAR_V_42)
% 1.80/1.85 & pred_attacker(VAR_V_43) )
% 1.80/1.85 => pred_attacker(constr_dec(VAR_V_42,VAR_V_43)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax63,axiom,
% 1.80/1.85 pred_attacker(constr_CONST_4) ).
% 1.80/1.85
% 1.80/1.85 fof(ax64,axiom,
% 1.80/1.85 pred_attacker(constr_CONST_3) ).
% 1.80/1.85
% 1.80/1.85 fof(ax65,axiom,
% 1.80/1.85 pred_attacker(constr_CONST_2) ).
% 1.80/1.85
% 1.80/1.85 fof(ax66,axiom,
% 1.80/1.85 pred_attacker(constr_CONST_1) ).
% 1.80/1.85
% 1.80/1.85 fof(ax67,axiom,
% 1.80/1.85 pred_attacker(constr_CONST_0x30) ).
% 1.80/1.85
% 1.80/1.85 fof(ax68,axiom,
% 1.80/1.85 ! [VAR_V_45] :
% 1.80/1.85 ( pred_attacker(VAR_V_45)
% 1.80/1.85 => pred_attacker(tuple_B_out_3(VAR_V_45)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax69,axiom,
% 1.80/1.85 ! [VAR_V_48] :
% 1.80/1.85 ( pred_attacker(tuple_B_out_3(VAR_V_48))
% 1.80/1.85 => pred_attacker(VAR_V_48) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax70,axiom,
% 1.80/1.85 ! [VAR_V_51] :
% 1.80/1.85 ( pred_attacker(VAR_V_51)
% 1.80/1.85 => pred_attacker(tuple_B_in_2(VAR_V_51)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax71,axiom,
% 1.80/1.85 ! [VAR_V_54] :
% 1.80/1.85 ( pred_attacker(tuple_B_in_2(VAR_V_54))
% 1.80/1.85 => pred_attacker(VAR_V_54) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax72,axiom,
% 1.80/1.85 ! [VAR_V_58,VAR_V_59] :
% 1.80/1.85 ( ( pred_attacker(VAR_V_58)
% 1.80/1.85 & pred_attacker(VAR_V_59) )
% 1.80/1.85 => pred_attacker(tuple_B_in_1(VAR_V_58,VAR_V_59)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax73,axiom,
% 1.80/1.85 ! [VAR_V_66,VAR_V_67] :
% 1.80/1.85 ( pred_attacker(tuple_B_in_1(VAR_V_66,VAR_V_67))
% 1.80/1.85 => pred_attacker(VAR_V_66) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax74,axiom,
% 1.80/1.85 ! [VAR_V_69,VAR_V_70X30] :
% 1.80/1.85 ( pred_attacker(tuple_B_in_1(VAR_V_69,VAR_V_70X30))
% 1.80/1.85 => pred_attacker(VAR_V_70X30) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax75,axiom,
% 1.80/1.85 ! [VAR_V_73] :
% 1.80/1.85 ( pred_attacker(VAR_V_73)
% 1.80/1.85 => pred_attacker(tuple_A_out_4(VAR_V_73)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax76,axiom,
% 1.80/1.85 ! [VAR_V_76] :
% 1.80/1.85 ( pred_attacker(tuple_A_out_4(VAR_V_76))
% 1.80/1.85 => pred_attacker(VAR_V_76) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax77,axiom,
% 1.80/1.85 ! [VAR_V_79] :
% 1.80/1.85 ( pred_attacker(VAR_V_79)
% 1.80/1.85 => pred_attacker(tuple_A_out_2(VAR_V_79)) ) ).
% 1.80/1.85
% 1.80/1.85 fof(ax78,axiom,
% 1.80/1.85 ! [VAR_V_82] :
% 1.80/1.86 ( pred_attacker(tuple_A_out_2(VAR_V_82))
% 1.80/1.86 => pred_attacker(VAR_V_82) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax79,axiom,
% 1.80/1.86 ! [VAR_V_86,VAR_V_87] :
% 1.80/1.86 ( ( pred_attacker(VAR_V_86)
% 1.80/1.86 & pred_attacker(VAR_V_87) )
% 1.80/1.86 => pred_attacker(tuple_A_out_1(VAR_V_86,VAR_V_87)) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax80,axiom,
% 1.80/1.86 ! [VAR_V_94,VAR_V_95] :
% 1.80/1.86 ( pred_attacker(tuple_A_out_1(VAR_V_94,VAR_V_95))
% 1.80/1.86 => pred_attacker(VAR_V_94) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax81,axiom,
% 1.80/1.86 ! [VAR_V_97,VAR_V_98] :
% 1.80/1.86 ( pred_attacker(tuple_A_out_1(VAR_V_97,VAR_V_98))
% 1.80/1.86 => pred_attacker(VAR_V_98) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax82,axiom,
% 1.80/1.86 ! [VAR_V_10X301] :
% 1.80/1.86 ( pred_attacker(VAR_V_10X301)
% 1.80/1.86 => pred_attacker(tuple_A_in_3(VAR_V_10X301)) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax83,axiom,
% 1.80/1.86 ! [VAR_V_10X304] :
% 1.80/1.86 ( pred_attacker(tuple_A_in_3(VAR_V_10X304))
% 1.80/1.86 => pred_attacker(VAR_V_10X304) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax84,axiom,
% 1.80/1.86 ! [VAR_V_110X30,VAR_V_111] :
% 1.80/1.86 ( ( pred_mess(VAR_V_111,VAR_V_110X30)
% 1.80/1.86 & pred_attacker(VAR_V_111) )
% 1.80/1.86 => pred_attacker(VAR_V_110X30) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax85,axiom,
% 1.80/1.86 ! [VAR_V_112,VAR_V_113] :
% 1.80/1.86 ( ( pred_attacker(VAR_V_113)
% 1.80/1.86 & pred_attacker(VAR_V_112) )
% 1.80/1.86 => pred_mess(VAR_V_113,VAR_V_112) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax86,axiom,
% 1.80/1.86 pred_attacker(name_c) ).
% 1.80/1.86
% 1.80/1.86 fof(ax87,axiom,
% 1.80/1.86 ! [VAR_V_115] : pred_equal(VAR_V_115,VAR_V_115) ).
% 1.80/1.86
% 1.80/1.86 fof(ax88,axiom,
% 1.80/1.86 ! [VAR_V_116] : pred_attacker(name_new0x2Dname(VAR_V_116)) ).
% 1.80/1.86
% 1.80/1.86 fof(ax89,axiom,
% 1.80/1.86 pred_attacker(tuple_A_out_1(name_P_7,name_G_8)) ).
% 1.80/1.86
% 1.80/1.86 fof(ax90,axiom,
% 1.80/1.86 pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))) ).
% 1.80/1.86
% 1.80/1.86 fof(ax91,axiom,
% 1.80/1.86 ! [VAR_B_186] :
% 1.80/1.86 ( pred_attacker(tuple_A_in_3(VAR_B_186))
% 1.80/1.86 => pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(VAR_B_186,name_Na),name_P_7)))) ) ).
% 1.80/1.86
% 1.80/1.86 fof(ax92,axiom,
% 1.80/1.86 ! [VAR_A_219,VAR_G_221,VAR_P_220X30] :
% 1.80/1.86 ( ( pred_attacker(tuple_B_in_2(VAR_A_219))
% 1.80/1.86 & pred_attacker(tuple_B_in_1(VAR_P_220X30,VAR_G_221)) )
% 1.80/1.86 => pred_attacker(tuple_B_out_3(constr_mod(constr_exp(VAR_G_221,name_Nb),VAR_P_220X30))) ) ).
% 1.80/1.86
% 1.80/1.86 fof(co0,conjecture,
% 1.80/1.86 pred_attacker(name_objective) ).
% 1.80/1.86
% 1.80/1.86 %--------------------------------------------------------------------------
% 1.80/1.86 %-------------------------------------------
% 1.80/1.86 % Proof found
% 1.80/1.86 % SZS status Theorem for theBenchmark
% 1.80/1.86 % SZS output start Proof
% 1.80/1.86 %ClaNum:120(EqnAxiom:26)
% 1.80/1.86 %VarNum:86(SingletonVarNum:46)
% 1.80/1.86 %MaxLitNum:3
% 1.80/1.86 %MaxfuncDepth:4
% 1.80/1.86 %SharedTerms:83
% 1.80/1.86 %goalClause: 96
% 1.80/1.86 %singleGoalClaCount:1
% 1.80/1.86 [27]P1(a1)
% 1.80/1.86 [28]P1(a2)
% 1.80/1.86 [29]P1(a3)
% 1.80/1.86 [30]P1(a4)
% 1.80/1.86 [31]P1(a5)
% 1.80/1.86 [32]P1(a6)
% 1.80/1.86 [33]P1(a15)
% 1.80/1.86 [34]P1(a16)
% 1.80/1.86 [41]~E(a1,a2)
% 1.80/1.86 [42]~E(a1,a3)
% 1.80/1.86 [43]~E(a3,a2)
% 1.80/1.86 [44]~E(a1,a4)
% 1.80/1.86 [45]~E(a4,a2)
% 1.80/1.86 [46]~E(a4,a3)
% 1.80/1.86 [47]~E(a1,a5)
% 1.80/1.86 [48]~E(a5,a2)
% 1.80/1.86 [49]~E(a5,a3)
% 1.80/1.86 [50]~E(a5,a4)
% 1.80/1.86 [51]~E(a1,a8)
% 1.80/1.86 [52]~E(a8,a2)
% 1.80/1.86 [53]~E(a8,a3)
% 1.80/1.86 [54]~E(a8,a4)
% 1.80/1.86 [55]~E(a8,a5)
% 1.80/1.86 [56]~E(a1,a13)
% 1.80/1.86 [57]~E(a13,a2)
% 1.80/1.86 [58]~E(a13,a3)
% 1.80/1.86 [59]~E(a13,a4)
% 1.80/1.86 [60]~E(a13,a5)
% 1.80/1.86 [61]~E(a13,a8)
% 1.80/1.86 [62]~E(a1,a14)
% 1.80/1.86 [63]~E(a14,a2)
% 1.80/1.86 [64]~E(a14,a3)
% 1.80/1.86 [65]~E(a14,a4)
% 1.80/1.86 [66]~E(a14,a5)
% 1.80/1.86 [67]~E(a14,a8)
% 1.80/1.86 [68]~E(a14,a13)
% 1.80/1.86 [69]~E(a1,a7)
% 1.80/1.86 [70]~E(a7,a2)
% 1.80/1.86 [71]~E(a7,a3)
% 1.80/1.86 [72]~E(a7,a4)
% 1.80/1.86 [73]~E(a7,a5)
% 1.80/1.86 [74]~E(a8,a7)
% 1.80/1.86 [75]~E(a13,a7)
% 1.80/1.86 [76]~E(a14,a7)
% 1.80/1.86 [77]~E(a1,a6)
% 1.80/1.86 [78]~E(a6,a2)
% 1.80/1.86 [79]~E(a6,a3)
% 1.80/1.86 [80]~E(a6,a4)
% 1.80/1.86 [81]~E(a6,a5)
% 1.80/1.86 [82]~E(a8,a6)
% 1.80/1.86 [83]~E(a13,a6)
% 1.80/1.86 [84]~E(a14,a6)
% 1.80/1.86 [85]~E(a7,a6)
% 1.80/1.86 [86]~E(a1,a19)
% 1.80/1.86 [87]~E(a19,a2)
% 1.80/1.86 [88]~E(a19,a3)
% 1.80/1.86 [89]~E(a19,a4)
% 1.80/1.86 [90]~E(a19,a5)
% 1.80/1.86 [91]~E(a19,a8)
% 1.80/1.86 [92]~E(a19,a13)
% 1.80/1.86 [93]~E(a14,a19)
% 1.80/1.86 [94]~E(a19,a7)
% 1.80/1.86 [95]~E(a19,a6)
% 1.80/1.86 [96]~P1(a19)
% 1.80/1.86 [37]P1(f18(a7,a8))
% 1.80/1.86 [39]P1(f21(f12(f11(a8,a13),a7)))
% 1.80/1.86 [36]P2(x361,x361)
% 1.80/1.86 [35]P1(f17(x351))
% 1.80/1.86 [38]E(f10(f9(x381,x382),x382),x381)
% 1.80/1.86 [40]E(f12(f11(f11(x401,x402),x403),x404),f12(f11(f11(x401,x403),x402),x404))
% 1.80/1.86 [97]~P1(x971)+P1(f22(x971))
% 1.80/1.86 [98]~P1(x981)+P1(f23(x981))
% 1.80/1.86 [99]~P1(x991)+P1(f24(x991))
% 1.80/1.86 [100]~P1(x1001)+P1(f21(x1001))
% 1.80/1.86 [101]~P1(x1011)+P1(f20(x1011))
% 1.80/1.86 [102]P1(x1021)+~P1(f22(x1021))
% 1.80/1.86 [103]P1(x1031)+~P1(f23(x1031))
% 1.80/1.86 [104]P1(x1041)+~P1(f24(x1041))
% 1.80/1.86 [105]P1(x1051)+~P1(f21(x1051))
% 1.80/1.86 [106]P1(x1061)+~P1(f20(x1061))
% 1.80/1.86 [120]~P1(f20(x1201))+P1(f24(f9(a19,f12(f11(x1201,a13),a7))))
% 1.80/1.86 [115]P1(x1151)+~P1(f25(x1152,x1151))
% 1.80/1.86 [116]P1(x1161)+~P1(f18(x1162,x1161))
% 1.80/1.86 [117]P1(x1171)+~P1(f25(x1171,x1172))
% 1.80/1.86 [118]P1(x1181)+~P1(f18(x1181,x1182))
% 1.80/1.86 [107]~P1(x1072)+~P1(x1071)+P3(x1071,x1072)
% 1.80/1.86 [108]~P3(x1082,x1081)+P1(x1081)+~P1(x1082)
% 1.80/1.86 [109]~P1(x1092)+~P1(x1091)+P1(f9(x1091,x1092))
% 1.80/1.86 [110]~P1(x1102)+~P1(x1101)+P1(f10(x1101,x1102))
% 1.80/1.86 [111]~P1(x1112)+~P1(x1111)+P1(f11(x1111,x1112))
% 1.80/1.86 [112]~P1(x1122)+~P1(x1121)+P1(f12(x1121,x1122))
% 1.80/1.86 [113]~P1(x1132)+~P1(x1131)+P1(f25(x1131,x1132))
% 1.80/1.86 [114]~P1(x1142)+~P1(x1141)+P1(f18(x1141,x1142))
% 1.80/1.86 [119]~P1(f25(x1192,x1191))+~P1(f23(x1193))+P1(f22(f12(f11(x1191,a14),x1192)))
% 1.80/1.86 %EqnAxiom
% 1.80/1.86 [1]E(x11,x11)
% 1.80/1.86 [2]E(x22,x21)+~E(x21,x22)
% 1.80/1.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.80/1.86 [4]~E(x41,x42)+E(f17(x41),f17(x42))
% 1.80/1.86 [5]~E(x51,x52)+E(f18(x51,x53),f18(x52,x53))
% 1.80/1.86 [6]~E(x61,x62)+E(f18(x63,x61),f18(x63,x62))
% 1.80/1.86 [7]~E(x71,x72)+E(f9(x71,x73),f9(x72,x73))
% 1.80/1.86 [8]~E(x81,x82)+E(f9(x83,x81),f9(x83,x82))
% 1.80/1.86 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93))
% 1.80/1.86 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102))
% 1.80/1.86 [11]~E(x111,x112)+E(f11(x111,x113),f11(x112,x113))
% 1.80/1.86 [12]~E(x121,x122)+E(f11(x123,x121),f11(x123,x122))
% 1.80/1.86 [13]~E(x131,x132)+E(f12(x131,x133),f12(x132,x133))
% 1.80/1.86 [14]~E(x141,x142)+E(f12(x143,x141),f12(x143,x142))
% 1.80/1.86 [15]~E(x151,x152)+E(f21(x151),f21(x152))
% 1.80/1.86 [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 1.80/1.86 [17]~E(x171,x172)+E(f22(x171),f22(x172))
% 1.80/1.86 [18]~E(x181,x182)+E(f25(x181,x183),f25(x182,x183))
% 1.80/1.86 [19]~E(x191,x192)+E(f25(x193,x191),f25(x193,x192))
% 1.80/1.86 [20]~E(x201,x202)+E(f20(x201),f20(x202))
% 1.80/1.86 [21]~E(x211,x212)+E(f24(x211),f24(x212))
% 1.80/1.86 [22]~P1(x221)+P1(x222)+~E(x221,x222)
% 1.80/1.86 [23]P3(x232,x233)+~E(x231,x232)+~P3(x231,x233)
% 1.80/1.86 [24]P3(x243,x242)+~E(x241,x242)+~P3(x243,x241)
% 1.80/1.86 [25]P2(x252,x253)+~E(x251,x252)+~P2(x251,x253)
% 1.80/1.86 [26]P2(x263,x262)+~E(x261,x262)+~P2(x263,x261)
% 1.80/1.86
% 1.80/1.86 %-------------------------------------------
% 1.80/1.86 cnf(121,plain,
% 1.80/1.86 (E(x1211,f10(f9(x1211,x1212),x1212))),
% 1.80/1.86 inference(scs_inference,[],[38,2])).
% 1.80/1.86 cnf(122,plain,
% 1.80/1.86 (P1(a7)),
% 1.80/1.86 inference(scs_inference,[],[37,38,2,118])).
% 1.80/1.86 cnf(124,plain,
% 1.80/1.86 (P1(a8)),
% 1.80/1.86 inference(scs_inference,[],[37,38,2,118,116])).
% 1.80/1.86 cnf(126,plain,
% 1.80/1.86 (P1(f12(f11(a8,a13),a7))),
% 1.80/1.86 inference(scs_inference,[],[37,39,38,2,118,116,105])).
% 1.80/1.86 cnf(128,plain,
% 1.80/1.86 (P2(f10(f9(x1281,x1282),x1282),x1281)),
% 1.80/1.86 inference(scs_inference,[],[36,37,39,38,2,118,116,105,26])).
% 1.80/1.86 cnf(129,plain,
% 1.80/1.86 (P2(x1291,f10(f9(x1291,x1292),x1292))),
% 1.80/1.86 inference(scs_inference,[],[36,37,39,38,2,118,116,105,26,25])).
% 1.80/1.86 cnf(130,plain,
% 1.80/1.86 (~P1(f10(f9(a19,x1301),x1301))),
% 1.80/1.86 inference(scs_inference,[],[96,36,37,39,38,2,118,116,105,26,25,22])).
% 1.80/1.86 cnf(131,plain,
% 1.80/1.86 (E(f10(f9(x1311,x1312),x1312),x1311)),
% 1.80/1.86 inference(rename_variables,[],[38])).
% 1.80/1.86 cnf(132,plain,
% 1.80/1.86 (~E(a1,f10(f9(a2,x1321),x1321))),
% 1.80/1.86 inference(scs_inference,[],[96,36,41,37,39,38,131,2,118,116,105,26,25,22,3])).
% 1.80/1.86 cnf(133,plain,
% 1.80/1.86 (E(f10(f9(x1331,x1332),x1332),x1331)),
% 1.80/1.86 inference(rename_variables,[],[38])).
% 1.80/1.86 cnf(134,plain,
% 1.80/1.86 (~P3(a1,a19)),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,2,118,116,105,26,25,22,3,108])).
% 1.80/1.86 cnf(136,plain,
% 1.80/1.86 (~P1(f9(a19,a1))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,2,118,116,105,26,25,22,3,108,110])).
% 1.80/1.86 cnf(138,plain,
% 1.80/1.86 (~P1(f25(a19,x1381))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,2,118,116,105,26,25,22,3,108,110,117])).
% 1.80/1.86 cnf(140,plain,
% 1.80/1.86 (~P1(f25(x1401,a19))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,2,118,116,105,26,25,22,3,108,110,117,115])).
% 1.80/1.86 cnf(142,plain,
% 1.80/1.86 (~P1(f20(a19))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,2,118,116,105,26,25,22,3,108,110,117,115,106])).
% 1.80/1.86 cnf(144,plain,
% 1.80/1.86 (~P1(f24(a19))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,2,118,116,105,26,25,22,3,108,110,117,115,106,104])).
% 1.80/1.86 cnf(156,plain,
% 1.80/1.86 (P1(f23(a1))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98])).
% 1.80/1.86 cnf(160,plain,
% 1.80/1.86 (E(f24(f10(f9(x1601,x1602),x1602)),f24(x1601))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21])).
% 1.80/1.86 cnf(161,plain,
% 1.80/1.86 (E(f20(f10(f9(x1611,x1612),x1612)),f20(x1611))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20])).
% 1.80/1.86 cnf(162,plain,
% 1.80/1.86 (E(f25(x1621,f10(f9(x1622,x1623),x1623)),f25(x1621,x1622))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19])).
% 1.80/1.86 cnf(163,plain,
% 1.80/1.86 (E(f25(f10(f9(x1631,x1632),x1632),x1633),f25(x1631,x1633))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18])).
% 1.80/1.86 cnf(164,plain,
% 1.80/1.86 (E(f22(f10(f9(x1641,x1642),x1642)),f22(x1641))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17])).
% 1.80/1.86 cnf(165,plain,
% 1.80/1.86 (E(f23(f10(f9(x1651,x1652),x1652)),f23(x1651))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16])).
% 1.80/1.86 cnf(166,plain,
% 1.80/1.86 (E(f21(f10(f9(x1661,x1662),x1662)),f21(x1661))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15])).
% 1.80/1.86 cnf(167,plain,
% 1.80/1.86 (E(f12(x1671,f10(f9(x1672,x1673),x1673)),f12(x1671,x1672))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14])).
% 1.80/1.86 cnf(169,plain,
% 1.80/1.86 (E(f11(x1691,f10(f9(x1692,x1693),x1693)),f11(x1691,x1692))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12])).
% 1.80/1.86 cnf(171,plain,
% 1.80/1.86 (E(f10(x1711,f10(f9(x1712,x1713),x1713)),f10(x1711,x1712))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.80/1.86 cnf(172,plain,
% 1.80/1.86 (E(f10(f10(f9(x1721,x1722),x1722),x1723),f10(x1721,x1723))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.80/1.86 cnf(173,plain,
% 1.80/1.86 (E(f9(x1731,f10(f9(x1732,x1733),x1733)),f9(x1731,x1732))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.80/1.86 cnf(175,plain,
% 1.80/1.86 (E(f18(x1751,f10(f9(x1752,x1753),x1753)),f18(x1751,x1752))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.80/1.86 cnf(176,plain,
% 1.80/1.86 (E(f18(f10(f9(x1761,x1762),x1762),x1763),f18(x1761,x1763))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.80/1.86 cnf(177,plain,
% 1.80/1.86 (E(f17(f10(f9(x1771,x1772),x1772)),f17(x1771))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.80/1.86 cnf(178,plain,
% 1.80/1.86 (P1(f24(f9(a19,f12(f11(a1,a13),a7))))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120])).
% 1.80/1.86 cnf(180,plain,
% 1.80/1.86 (~P3(a1,f10(f9(a19,x1801),x1801))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120,24])).
% 1.80/1.86 cnf(181,plain,
% 1.80/1.86 (~P3(x1811,a19)+~E(x1811,a1)),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120,24,23])).
% 1.80/1.86 cnf(182,plain,
% 1.80/1.86 (P3(a1,a1)),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120,24,23,107])).
% 1.80/1.86 cnf(186,plain,
% 1.80/1.86 (P1(f25(a1,a1))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120,24,23,107,114,113])).
% 1.80/1.86 cnf(194,plain,
% 1.80/1.86 (P1(f22(f12(f11(a1,a14),a1)))),
% 1.80/1.86 inference(scs_inference,[],[96,36,27,41,37,39,38,131,133,2,118,116,105,26,25,22,3,108,110,117,115,106,104,103,102,101,100,99,98,97,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120,24,23,107,114,113,112,111,109,119])).
% 1.80/1.86 cnf(197,plain,
% 1.80/1.86 (~P1(f25(x1971,x1972))+P1(f22(f12(f11(x1972,a14),x1971)))),
% 1.80/1.86 inference(scs_inference,[],[156,119])).
% 1.80/1.86 cnf(198,plain,
% 1.80/1.86 (~P3(f10(f9(a1,x1981),x1981),a19)),
% 1.80/1.86 inference(scs_inference,[],[38,181])).
% 1.80/1.86 cnf(200,plain,
% 1.80/1.86 (~P1(f18(a19,x2001))),
% 1.80/1.86 inference(scs_inference,[],[96,38,181,118])).
% 1.80/1.86 cnf(202,plain,
% 1.80/1.86 (~P1(f18(x2021,a19))),
% 1.80/1.86 inference(scs_inference,[],[96,38,181,118,116])).
% 1.80/1.86 cnf(206,plain,
% 1.80/1.86 (P3(a2,a2)),
% 1.80/1.86 inference(scs_inference,[],[96,28,38,181,118,116,112,107])).
% 1.80/1.86 cnf(215,plain,
% 1.80/1.86 (P3(a1,f10(f9(a1,x2151),x2151))),
% 1.80/1.86 inference(scs_inference,[],[96,28,42,38,121,178,194,182,181,118,116,112,107,2,105,104,102,24])).
% 1.80/1.86 cnf(216,plain,
% 1.80/1.86 (E(x2161,f10(f9(x2161,x2162),x2162))),
% 1.80/1.86 inference(rename_variables,[],[121])).
% 1.80/1.86 cnf(219,plain,
% 1.80/1.86 (E(x2191,f10(f9(x2191,x2192),x2192))),
% 1.80/1.86 inference(rename_variables,[],[121])).
% 1.80/1.86 cnf(220,plain,
% 1.80/1.86 (~P3(a3,a19)),
% 1.80/1.86 inference(scs_inference,[],[96,28,29,42,38,121,216,178,194,182,181,118,116,112,107,2,105,104,102,24,22,3,108])).
% 1.80/1.86 cnf(228,plain,
% 1.80/1.86 (P3(f10(f9(a1,x2281),x2281),a1)),
% 1.80/1.86 inference(scs_inference,[],[96,28,29,42,38,121,216,219,178,194,182,181,118,116,112,107,2,105,104,102,24,22,3,108,111,110,109,23])).
% 1.80/1.86 cnf(231,plain,
% 1.80/1.86 (P2(x2311,x2311)),
% 1.80/1.86 inference(rename_variables,[],[36])).
% 1.80/1.86 cnf(232,plain,
% 1.80/1.86 (P2(f24(x2321),f24(f10(f9(x2321,x2322),x2322)))),
% 1.80/1.86 inference(scs_inference,[],[96,28,29,42,40,36,231,38,121,216,219,160,178,194,182,181,118,116,112,107,2,105,104,102,24,22,3,108,111,110,109,23,26,25])).
% 1.80/1.86 cnf(234,plain,
% 1.80/1.86 (~P1(f24(f10(f9(a19,x2341),x2341)))),
% 1.80/1.86 inference(scs_inference,[],[130,104])).
% 1.80/1.86 cnf(236,plain,
% 1.80/1.86 (E(f20(x2361),f20(f10(f9(x2361,x2362),x2362)))),
% 1.80/1.86 inference(scs_inference,[],[161,130,104,2])).
% 1.80/1.86 cnf(237,plain,
% 1.80/1.86 (~P1(f22(f10(f9(a19,x2371),x2371)))),
% 1.80/1.86 inference(scs_inference,[],[161,130,104,2,102])).
% 1.80/1.86 cnf(240,plain,
% 1.80/1.86 (E(f10(f9(x2401,x2402),x2402),x2401)),
% 1.80/1.86 inference(rename_variables,[],[38])).
% 1.80/1.86 cnf(241,plain,
% 1.80/1.86 (P1(f10(f9(a1,x2411),x2411))),
% 1.80/1.86 inference(scs_inference,[],[27,121,38,161,130,215,104,2,102,3,108])).
% 1.80/1.86 cnf(245,plain,
% 1.80/1.86 (~P1(f10(f9(f25(a19,x2451),x2452),x2452))),
% 1.80/1.86 inference(scs_inference,[],[27,121,38,240,161,130,138,215,104,2,102,3,108,110,22])).
% 1.80/1.86 cnf(248,plain,
% 1.80/1.87 (P3(f10(f9(a1,x2481),x2481),f10(f9(a1,x2482),x2482))),
% 1.80/1.87 inference(scs_inference,[],[27,121,38,240,161,130,134,138,215,104,2,102,3,108,110,22,24,23])).
% 1.80/1.87 cnf(250,plain,
% 1.80/1.87 (~P1(f18(f10(f9(a19,x2501),x2501),x2502))),
% 1.80/1.87 inference(scs_inference,[],[27,121,38,240,161,130,134,138,215,104,2,102,3,108,110,22,24,23,118])).
% 1.80/1.87 cnf(252,plain,
% 1.80/1.87 (~P1(f18(x2521,f10(f9(a19,x2522),x2522)))),
% 1.80/1.87 inference(scs_inference,[],[27,121,38,240,161,130,134,138,215,104,2,102,3,108,110,22,24,23,118,116])).
% 1.80/1.87 cnf(254,plain,
% 1.80/1.87 (~P1(f21(f10(f9(a19,x2541),x2541)))),
% 1.80/1.87 inference(scs_inference,[],[27,121,38,240,161,130,134,138,215,104,2,102,3,108,110,22,24,23,118,116,105])).
% 1.80/1.87 cnf(256,plain,
% 1.80/1.87 (~P3(a1,f10(f9(f25(a19,x2561),x2562),x2562))),
% 1.80/1.87 inference(scs_inference,[],[27,245,108])).
% 1.80/1.87 cnf(258,plain,
% 1.80/1.87 (~P1(f9(f25(a19,x2581),a1))),
% 1.80/1.87 inference(scs_inference,[],[27,245,108,110])).
% 1.80/1.87 cnf(263,plain,
% 1.80/1.87 (E(f10(f9(x2631,x2632),x2632),x2631)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(264,plain,
% 1.80/1.87 (~P3(f10(f9(a1,x2641),x2641),f10(f9(a19,x2642),x2642))),
% 1.80/1.87 inference(scs_inference,[],[27,43,38,263,245,198,108,110,2,3,24])).
% 1.80/1.87 cnf(265,plain,
% 1.80/1.87 (E(f10(f9(x2651,x2652),x2652),x2651)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(266,plain,
% 1.80/1.87 (~P1(f25(x2661,f10(f9(a19,x2662),x2662)))),
% 1.80/1.87 inference(scs_inference,[],[27,43,38,263,162,245,140,198,108,110,2,3,24,22])).
% 1.80/1.87 cnf(268,plain,
% 1.80/1.87 (~P3(f10(f9(a3,x2681),x2681),a19)),
% 1.80/1.87 inference(scs_inference,[],[27,43,38,263,265,162,245,140,198,220,108,110,2,3,24,22,23])).
% 1.80/1.87 cnf(270,plain,
% 1.80/1.87 (~P3(a2,f18(f10(f9(a19,x2701),x2701),x2702))),
% 1.80/1.87 inference(scs_inference,[],[28,250,108])).
% 1.80/1.87 cnf(274,plain,
% 1.80/1.87 (E(f25(x2741,x2742),f25(f10(f9(x2741,x2743),x2743),x2742))),
% 1.80/1.87 inference(scs_inference,[],[28,30,163,250,108,110,2])).
% 1.80/1.87 cnf(275,plain,
% 1.80/1.87 (P3(f10(f9(a1,x2751),x2751),f10(f9(f10(f9(a1,x2752),x2752),x2753),x2753))),
% 1.80/1.87 inference(scs_inference,[],[28,30,121,163,250,248,108,110,2,24])).
% 1.80/1.87 cnf(276,plain,
% 1.80/1.87 (E(x2761,f10(f9(x2761,x2762),x2762))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(279,plain,
% 1.80/1.87 (E(x2791,f10(f9(x2791,x2792),x2792))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(280,plain,
% 1.80/1.87 (P3(f10(f9(f10(f9(a1,x2801),x2801),x2802),x2802),f10(f9(a1,x2803),x2803))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,163,250,248,108,110,2,24,22,3,23])).
% 1.80/1.87 cnf(281,plain,
% 1.80/1.87 (E(x2811,f10(f9(x2811,x2812),x2812))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(282,plain,
% 1.80/1.87 (~P1(f25(x2821,f18(f10(f9(a19,x2822),x2822),x2823)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,163,250,248,108,110,2,24,22,3,23,115])).
% 1.80/1.87 cnf(284,plain,
% 1.80/1.87 (P1(f20(a2))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,163,250,248,108,110,2,24,22,3,23,115,101])).
% 1.80/1.87 cnf(288,plain,
% 1.80/1.87 (E(f24(x2881),f24(f10(f9(x2881,x2882),x2882)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21])).
% 1.80/1.87 cnf(289,plain,
% 1.80/1.87 (E(f20(f25(f10(f9(x2891,x2892),x2892),x2893)),f20(f25(x2891,x2893)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20])).
% 1.80/1.87 cnf(290,plain,
% 1.80/1.87 (E(f22(x2901),f22(f10(f9(x2901,x2902),x2902)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17])).
% 1.80/1.87 cnf(292,plain,
% 1.80/1.87 (E(f12(x2921,x2922),f12(f10(f9(x2921,x2923),x2923),x2922))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13])).
% 1.80/1.87 cnf(293,plain,
% 1.80/1.87 (E(f11(x2931,x2932),f11(f10(f9(x2931,x2933),x2933),x2932))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11])).
% 1.80/1.87 cnf(294,plain,
% 1.80/1.87 (E(f10(x2941,x2942),f10(x2941,f10(f9(x2942,x2943),x2943)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10])).
% 1.80/1.87 cnf(296,plain,
% 1.80/1.87 (E(f17(x2961),f17(f10(f9(x2961,x2962),x2962)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4])).
% 1.80/1.87 cnf(297,plain,
% 1.80/1.87 (~P1(f25(f18(f10(f9(a19,x2971),x2971),x2972),x2973))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4,117])).
% 1.80/1.87 cnf(310,plain,
% 1.80/1.87 (E(f25(f25(f10(f9(x3101,x3102),x3102),x3103),x3104),f25(f25(x3101,x3103),x3104))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4,117,106,103,98,100,99,19,18])).
% 1.80/1.87 cnf(311,plain,
% 1.80/1.87 (E(f23(x3111),f23(f10(f9(x3111,x3112),x3112)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4,117,106,103,98,100,99,19,18,16])).
% 1.80/1.87 cnf(312,plain,
% 1.80/1.87 (E(f12(x3121,x3122),f12(x3121,f10(f9(x3122,x3123),x3123)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4,117,106,103,98,100,99,19,18,16,14])).
% 1.80/1.87 cnf(314,plain,
% 1.80/1.87 (E(f10(x3141,x3142),f10(f10(f9(x3141,x3143),x3143),x3142))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4,117,106,103,98,100,99,19,18,16,14,12,9])).
% 1.80/1.87 cnf(316,plain,
% 1.80/1.87 (E(f18(x3161,x3162),f18(x3161,f10(f9(x3162,x3163),x3163)))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4,117,106,103,98,100,99,19,18,16,14,12,9,8,6])).
% 1.80/1.87 cnf(317,plain,
% 1.80/1.87 (E(f18(x3171,x3172),f18(f10(f9(x3171,x3173),x3173),x3172))),
% 1.80/1.87 inference(scs_inference,[],[28,30,44,121,276,279,281,163,250,248,108,110,2,24,22,3,23,115,101,97,21,20,17,15,13,11,10,7,4,117,106,103,98,100,99,19,18,16,14,12,9,8,6,5])).
% 1.80/1.87 cnf(325,plain,
% 1.80/1.87 (P3(f10(f9(a1,x3251),x3251),f10(f9(f10(f9(a1,x3252),x3252),x3253),x3253))),
% 1.80/1.87 inference(rename_variables,[],[275])).
% 1.80/1.87 cnf(330,plain,
% 1.80/1.87 (~P1(f10(f9(f18(a19,x3301),x3302),x3302))),
% 1.80/1.87 inference(scs_inference,[],[31,45,121,38,128,129,275,241,200,284,120,104,26,25,108,110,2,22])).
% 1.80/1.87 cnf(334,plain,
% 1.80/1.87 (~E(f10(f9(f10(f9(a1,x3341),x3341),x3342),x3342),f10(f9(a19,x3343),x3343))),
% 1.80/1.87 inference(scs_inference,[],[31,45,121,38,128,129,164,290,275,325,241,264,200,284,120,104,26,25,108,110,2,22,3,24])).
% 1.80/1.87 cnf(336,plain,
% 1.80/1.87 (P3(f10(f9(f10(f9(a1,x3361),x3361),x3362),x3362),a1)),
% 1.80/1.87 inference(scs_inference,[],[31,45,121,38,128,129,164,290,275,325,241,264,200,284,228,120,104,26,25,108,110,2,22,3,24,23])).
% 1.80/1.87 cnf(339,plain,
% 1.80/1.87 (P3(a5,a5)),
% 1.80/1.87 inference(scs_inference,[],[31,45,121,38,128,129,164,290,275,325,241,264,200,284,228,120,104,26,25,108,110,2,22,3,24,23,107])).
% 1.80/1.87 cnf(348,plain,
% 1.80/1.87 (P3(a6,a6)),
% 1.80/1.87 inference(scs_inference,[],[32,107])).
% 1.80/1.87 cnf(360,plain,
% 1.80/1.87 (~P1(f9(f18(a19,x3601),a3))),
% 1.80/1.87 inference(scs_inference,[],[29,32,282,252,330,107,112,104,111,109,108,110])).
% 1.80/1.87 cnf(363,plain,
% 1.80/1.87 (E(f10(f23(f10(f9(x3631,x3632),x3632)),x3633),f10(f23(x3631),x3633))),
% 1.80/1.87 inference(scs_inference,[],[29,32,165,282,252,330,107,112,104,111,109,108,110,9])).
% 1.80/1.87 cnf(365,plain,
% 1.80/1.87 (P1(f10(f9(a3,x3651),x3651))),
% 1.80/1.87 inference(scs_inference,[],[29,32,121,165,289,282,252,330,107,112,104,111,109,108,110,9,2,22])).
% 1.80/1.87 cnf(366,plain,
% 1.80/1.87 (E(x3661,f10(f9(x3661,x3662),x3662))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(368,plain,
% 1.80/1.87 (E(x3681,f10(f9(x3681,x3682),x3682))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(370,plain,
% 1.80/1.87 (~P3(a1,f10(f9(f25(a19,x3701),x3702),x3702))),
% 1.80/1.87 inference(rename_variables,[],[256])).
% 1.80/1.87 cnf(372,plain,
% 1.80/1.87 (~P3(f10(f9(a1,x3721),x3721),f10(f9(f25(a19,x3722),x3723),x3723))),
% 1.80/1.87 inference(scs_inference,[],[29,32,121,366,368,38,165,289,282,252,330,334,256,370,107,112,104,111,109,108,110,9,2,22,3,24,23])).
% 1.80/1.87 cnf(374,plain,
% 1.80/1.87 (~P1(f18(f18(x3741,f10(f9(a19,x3742),x3742)),x3743))),
% 1.80/1.87 inference(scs_inference,[],[29,32,121,366,368,38,165,289,282,252,330,334,256,370,107,112,104,111,109,108,110,9,2,22,3,24,23,118])).
% 1.80/1.87 cnf(382,plain,
% 1.80/1.87 (P2(f23(f10(f9(x3821,x3822),x3822)),f23(x3821))),
% 1.80/1.87 inference(scs_inference,[],[29,32,36,121,366,368,38,165,289,282,252,330,334,256,370,107,112,104,111,109,108,110,9,2,22,3,24,23,118,116,105,102,26])).
% 1.80/1.87 cnf(383,plain,
% 1.80/1.87 (P2(x3831,x3831)),
% 1.80/1.87 inference(rename_variables,[],[36])).
% 1.80/1.87 cnf(384,plain,
% 1.80/1.87 (P2(f23(x3841),f23(f10(f9(x3841,x3842),x3842)))),
% 1.80/1.87 inference(scs_inference,[],[29,32,36,383,121,366,368,38,165,289,282,252,330,334,256,370,107,112,104,111,109,108,110,9,2,22,3,24,23,118,116,105,102,26,25])).
% 1.80/1.87 cnf(386,plain,
% 1.80/1.87 (~P3(a3,f25(f18(f10(f9(a19,x3861),x3861),x3862),x3863))),
% 1.80/1.87 inference(scs_inference,[],[29,297,108])).
% 1.80/1.87 cnf(392,plain,
% 1.80/1.87 (~P3(a2,f18(a19,x3921))),
% 1.80/1.87 inference(scs_inference,[],[29,46,317,297,270,108,110,2,22,24])).
% 1.80/1.87 cnf(396,plain,
% 1.80/1.87 (P3(f10(f9(f10(f9(a1,x3961),x3961),x3962),f10(f9(x3962,x3963),x3963)),f10(f9(a1,x3964),x3964))),
% 1.80/1.87 inference(scs_inference,[],[29,46,121,294,317,297,280,270,108,110,2,22,24,3,23])).
% 1.80/1.87 cnf(398,plain,
% 1.80/1.87 (P1(f25(a3,a3))),
% 1.80/1.87 inference(scs_inference,[],[29,46,121,294,317,297,280,270,108,110,2,22,24,3,23,113])).
% 1.80/1.87 cnf(409,plain,
% 1.80/1.87 (~P1(f10(f9(f18(x4091,a19),x4092),x4092))),
% 1.80/1.87 inference(scs_inference,[],[126,38,310,202,398,197,102,110,2,22])).
% 1.80/1.87 cnf(412,plain,
% 1.80/1.87 (E(f21(f10(f9(x4121,x4122),x4122)),f10(f9(f21(x4121),x4123),x4123))),
% 1.80/1.87 inference(scs_inference,[],[126,121,38,166,310,206,202,398,392,197,102,110,2,22,24,3])).
% 1.80/1.87 cnf(413,plain,
% 1.80/1.87 (E(x4131,f10(f9(x4131,x4132),x4132))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(416,plain,
% 1.80/1.87 (~P1(f25(x4161,f25(x4162,f10(f9(a19,x4163),x4163))))),
% 1.80/1.87 inference(scs_inference,[],[126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115])).
% 1.80/1.87 cnf(428,plain,
% 1.80/1.87 (E(f10(x4281,f21(f10(f9(x4282,x4283),x4283))),f10(x4281,f21(x4282)))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10])).
% 1.80/1.87 cnf(429,plain,
% 1.80/1.87 (E(f20(f21(f10(f9(x4291,x4292),x4292))),f20(f21(x4291)))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20])).
% 1.80/1.87 cnf(430,plain,
% 1.80/1.87 (~P1(f25(f25(x4301,f10(f9(a19,x4302),x4302)),x4303))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20,117])).
% 1.80/1.87 cnf(436,plain,
% 1.80/1.87 (E(f24(f21(f10(f9(x4361,x4362),x4362))),f24(f21(x4361)))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20,117,100,99,21])).
% 1.80/1.87 cnf(437,plain,
% 1.80/1.87 (E(f25(x4371,f21(f10(f9(x4372,x4373),x4373))),f25(x4371,f21(x4372)))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20,117,100,99,21,19])).
% 1.80/1.87 cnf(438,plain,
% 1.80/1.87 (E(f22(f21(f10(f9(x4381,x4382),x4382))),f22(f21(x4381)))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20,117,100,99,21,19,17])).
% 1.80/1.87 cnf(439,plain,
% 1.80/1.87 (E(f23(f21(f10(f9(x4391,x4392),x4392))),f23(f21(x4391)))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20,117,100,99,21,19,17,16])).
% 1.80/1.87 cnf(440,plain,
% 1.80/1.87 (E(f21(f21(f10(f9(x4401,x4402),x4402))),f21(f21(x4401)))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20,117,100,99,21,19,17,16,15])).
% 1.80/1.87 cnf(441,plain,
% 1.80/1.87 (E(f12(f21(f10(f9(x4411,x4412),x4412)),x4413),f12(f21(x4411),x4413))),
% 1.80/1.87 inference(scs_inference,[],[30,126,121,413,38,166,310,266,206,202,398,392,197,102,110,2,22,24,3,23,115,106,103,101,98,97,10,20,117,100,99,21,19,17,16,15,13])).
% 1.80/1.87 cnf(455,plain,
% 1.80/1.87 (~P1(f9(f18(x4551,a19),a4))),
% 1.80/1.87 inference(scs_inference,[],[30,409,102,110])).
% 1.80/1.87 cnf(460,plain,
% 1.80/1.87 (E(x4601,f10(f9(x4601,x4602),x4602))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(461,plain,
% 1.80/1.87 (~P3(f10(f9(a1,x4611),x4611),f25(a19,x4612))),
% 1.80/1.87 inference(scs_inference,[],[30,47,121,460,409,372,102,110,2,22,24])).
% 1.80/1.87 cnf(473,plain,
% 1.80/1.87 (E(x4731,f10(f9(x4731,x4732),x4732))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(477,plain,
% 1.80/1.87 (E(x4771,f10(f9(x4771,x4772),x4772))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(490,plain,
% 1.80/1.87 (P3(a15,a15)),
% 1.80/1.87 inference(scs_inference,[],[31,33,48,121,473,477,38,167,171,232,363,382,374,234,336,396,26,104,25,9,110,2,24,3,22,23,107])).
% 1.80/1.87 cnf(515,plain,
% 1.80/1.87 (P3(a5,f10(f9(a5,x5151),x5151))),
% 1.80/1.87 inference(scs_inference,[],[34,49,121,339,107,112,111,109,110,2,24])).
% 1.80/1.87 cnf(516,plain,
% 1.80/1.87 (E(x5161,f10(f9(x5161,x5162),x5162))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(519,plain,
% 1.80/1.87 (~P1(f10(f9(f9(f25(a19,x5191),a1),x5192),x5192))),
% 1.80/1.87 inference(scs_inference,[],[34,49,121,516,38,169,339,258,107,112,111,109,110,2,24,3,22])).
% 1.80/1.87 cnf(529,plain,
% 1.80/1.87 (~P3(a6,f25(x5291,f25(x5292,f10(f9(a19,x5293),x5293))))),
% 1.80/1.87 inference(scs_inference,[],[32,416,108])).
% 1.80/1.87 cnf(535,plain,
% 1.80/1.87 (~P3(f10(f9(a3,x5351),x5351),f10(f9(a19,x5352),x5352))),
% 1.80/1.87 inference(scs_inference,[],[32,38,412,416,519,268,108,110,2,24])).
% 1.80/1.87 cnf(536,plain,
% 1.80/1.87 (E(f10(f9(x5361,x5362),x5362),x5361)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(538,plain,
% 1.80/1.87 (E(f10(f9(x5381,x5382),x5382),x5381)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(545,plain,
% 1.80/1.87 (P1(f20(a6))),
% 1.80/1.87 inference(scs_inference,[],[32,50,121,38,536,538,412,416,519,237,386,268,108,110,2,24,3,22,23,115,101])).
% 1.80/1.87 cnf(586,plain,
% 1.80/1.87 (E(x5861,f10(f9(x5861,x5862),x5862))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(587,plain,
% 1.80/1.87 (~P3(f10(f9(a3,x5871),x5871),f10(f10(f9(f9(a19,x5872),x5873),x5873),x5872))),
% 1.80/1.87 inference(scs_inference,[],[32,51,121,172,535,515,31,108,110,2,3,24])).
% 1.80/1.87 cnf(592,plain,
% 1.80/1.87 (~P1(f10(f10(f9(f9(a19,x5921),x5922),x5922),x5921))),
% 1.80/1.87 inference(scs_inference,[],[32,51,121,172,430,365,535,545,515,31,108,110,2,3,24,22,120,107])).
% 1.80/1.87 cnf(596,plain,
% 1.80/1.87 (P3(f10(f9(a5,x5961),x5961),f10(f9(a5,x5962),x5962))),
% 1.80/1.87 inference(scs_inference,[],[32,51,121,586,172,430,365,535,545,515,31,108,110,2,3,24,22,120,107,104,23])).
% 1.80/1.87 cnf(598,plain,
% 1.80/1.87 (P3(a7,a7)),
% 1.80/1.87 inference(scs_inference,[],[122,107])).
% 1.80/1.87 cnf(602,plain,
% 1.80/1.87 (~P3(a15,f10(f9(a19,x6021),x6021))),
% 1.80/1.87 inference(scs_inference,[],[33,122,130,254,107,104,108])).
% 1.80/1.87 cnf(608,plain,
% 1.80/1.87 (E(f9(x6081,f10(f9(x6082,x6083),x6083)),f10(f9(f9(x6081,x6082),x6084),x6084))),
% 1.80/1.87 inference(scs_inference,[],[33,122,130,121,173,428,254,529,348,107,104,108,110,2,24,3])).
% 1.80/1.87 cnf(609,plain,
% 1.80/1.87 (E(x6091,f10(f9(x6091,x6092),x6092))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(610,plain,
% 1.80/1.87 (~P1(f10(f9(f10(f9(a19,x6101),x6101),x6102),x6102))),
% 1.80/1.87 inference(scs_inference,[],[33,122,130,38,121,173,428,254,529,348,107,104,108,110,2,24,3,22])).
% 1.80/1.87 cnf(620,plain,
% 1.80/1.87 (E(f10(f9(x6201,f10(f9(x6202,x6203),x6203)),x6204),f10(f9(x6201,x6202),x6204))),
% 1.80/1.87 inference(scs_inference,[],[33,122,130,38,121,609,173,428,254,587,529,348,107,104,108,110,2,24,3,22,23,118,116,105,9])).
% 1.80/1.87 cnf(621,plain,
% 1.80/1.87 (P1(f25(a15,a15))),
% 1.80/1.87 inference(scs_inference,[],[33,122,130,38,121,609,173,428,254,587,529,348,107,104,108,110,2,24,3,22,23,118,116,105,9,113])).
% 1.80/1.87 cnf(625,plain,
% 1.80/1.87 (P1(f22(f23(a15)))),
% 1.80/1.87 inference(scs_inference,[],[33,97,98])).
% 1.80/1.87 cnf(626,plain,
% 1.80/1.87 (P1(f22(f12(f11(a15,a14),a15)))),
% 1.80/1.87 inference(scs_inference,[],[621,197])).
% 1.80/1.87 cnf(632,plain,
% 1.80/1.87 (~P3(f17(x6321),f10(f9(a19,x6322),x6322))),
% 1.80/1.87 inference(scs_inference,[],[124,35,130,625,621,197,102,107,108])).
% 1.80/1.87 cnf(640,plain,
% 1.80/1.87 (E(f10(f9(x6401,x6402),x6402),x6401)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(642,plain,
% 1.80/1.87 (E(f10(f9(x6421,x6422),x6422),x6421)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(653,plain,
% 1.80/1.87 (P2(f10(f9(f20(x6531),x6532),x6532),f20(f10(f9(x6531,x6533),x6533)))),
% 1.80/1.87 inference(scs_inference,[],[33,52,124,35,128,130,38,640,642,121,236,384,461,625,156,621,180,197,102,107,108,25,110,2,24,3,22,23,112,111,109,26])).
% 1.80/1.87 cnf(655,plain,
% 1.80/1.87 (~P1(f24(f9(f18(a19,x6551),a3)))),
% 1.80/1.87 inference(scs_inference,[],[33,52,124,35,128,130,38,640,642,121,236,384,461,625,360,156,621,180,197,102,107,108,25,110,2,24,3,22,23,112,111,109,26,104])).
% 1.80/1.87 cnf(671,plain,
% 1.80/1.87 (E(x6711,f10(f9(x6711,x6712),x6712))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(673,plain,
% 1.80/1.87 (E(x6731,f10(f9(x6731,x6732),x6732))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(675,plain,
% 1.80/1.87 (P3(f10(f9(a15,x6751),x6751),a15)),
% 1.80/1.87 inference(scs_inference,[],[34,132,126,35,130,121,671,673,429,596,655,490,98,112,102,111,109,110,2,24,3,22,23])).
% 1.80/1.87 cnf(683,plain,
% 1.80/1.87 (~P1(f25(f10(f9(a19,x6831),x6831),x6832))),
% 1.80/1.87 inference(scs_inference,[],[34,132,126,35,130,121,671,673,429,596,655,490,98,112,102,111,109,110,2,24,3,22,23,115,101,103,117])).
% 1.80/1.87 cnf(717,plain,
% 1.80/1.87 (~P3(a16,f10(f9(a19,x7171),x7171))),
% 1.80/1.87 inference(scs_inference,[],[34,130,626,102,108])).
% 1.80/1.87 cnf(724,plain,
% 1.80/1.87 (E(x7241,f10(f9(x7241,x7242),x7242))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(728,plain,
% 1.80/1.87 (E(f10(f9(x7281,x7282),x7282),x7281)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(729,plain,
% 1.80/1.87 (~P3(f10(f9(f17(x7291),x7292),x7292),f10(f9(a19,x7293),x7293))),
% 1.80/1.87 inference(scs_inference,[],[34,53,37,130,38,728,121,724,175,632,626,455,675,102,108,110,9,2,24,3,22,23])).
% 1.80/1.87 cnf(735,plain,
% 1.80/1.87 (P3(f17(x7351),f17(x7351))),
% 1.80/1.87 inference(scs_inference,[],[35,107])).
% 1.80/1.87 cnf(747,plain,
% 1.80/1.87 (~P3(a15,f10(f9(f10(f9(a19,x7471),x7471),x7472),x7472))),
% 1.80/1.87 inference(scs_inference,[],[35,130,38,436,592,683,602,107,102,104,108,110,2,24])).
% 1.80/1.87 cnf(761,plain,
% 1.80/1.87 (P3(f21(f12(f11(a8,a13),a7)),f21(f12(f11(a8,a13),a7)))),
% 1.80/1.87 inference(scs_inference,[],[39,107])).
% 1.80/1.87 cnf(763,plain,
% 1.80/1.87 (P1(f10(a8,a8))),
% 1.80/1.87 inference(scs_inference,[],[39,124,107,110])).
% 1.80/1.87 cnf(766,plain,
% 1.80/1.87 (P3(f17(x7661),f10(f9(f17(x7661),x7662),x7662))),
% 1.80/1.87 inference(scs_inference,[],[55,39,124,121,735,107,110,2,24])).
% 1.80/1.87 cnf(767,plain,
% 1.80/1.87 (E(x7671,f10(f9(x7671,x7672),x7672))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(769,plain,
% 1.80/1.87 (E(x7691,f10(f9(x7691,x7692),x7692))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(771,plain,
% 1.80/1.87 (P3(f10(f9(f17(x7711),x7712),x7712),f17(x7711))),
% 1.80/1.87 inference(scs_inference,[],[35,55,39,124,130,121,767,769,735,107,110,2,24,3,22,23])).
% 1.80/1.87 cnf(778,plain,
% 1.80/1.87 (E(f10(f9(x7781,x7782),x7782),x7781)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(779,plain,
% 1.80/1.87 (P1(f10(f10(a8,a8),f10(a8,a8)))),
% 1.80/1.87 inference(scs_inference,[],[38,653,763,25,110])).
% 1.80/1.87 cnf(796,plain,
% 1.80/1.87 (P1(f20(a7))),
% 1.80/1.87 inference(scs_inference,[],[136,122,38,778,121,176,437,620,653,729,763,598,25,110,9,108,2,24,3,22,23,115,98,101])).
% 1.80/1.87 cnf(810,plain,
% 1.80/1.87 (P1(f24(a7))),
% 1.80/1.87 inference(scs_inference,[],[136,122,38,778,121,176,437,620,653,729,763,598,25,110,9,108,2,24,3,22,23,115,98,101,103,97,117,106,112,100,99])).
% 1.80/1.87 cnf(835,plain,
% 1.80/1.87 (P1(f12(f18(a7,a8),f18(a7,a8)))),
% 1.80/1.87 inference(scs_inference,[],[37,112])).
% 1.80/1.87 cnf(837,plain,
% 1.80/1.87 (P1(f9(f18(a7,a8),f18(a7,a8)))),
% 1.80/1.87 inference(scs_inference,[],[37,112,109])).
% 1.80/1.87 cnf(846,plain,
% 1.80/1.87 (~P3(f18(a7,a8),f9(a19,a1))),
% 1.80/1.87 inference(scs_inference,[],[39,37,136,130,112,109,111,104,110,108])).
% 1.80/1.87 cnf(849,plain,
% 1.80/1.87 (~P3(a16,f10(f9(f10(f9(a19,x8491),x8491),x8492),x8492))),
% 1.80/1.87 inference(scs_inference,[],[56,39,37,136,130,38,717,112,109,111,104,110,108,2,24])).
% 1.80/1.87 cnf(850,plain,
% 1.80/1.87 (E(f10(f9(x8501,x8502),x8502),x8501)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(852,plain,
% 1.80/1.87 (E(f10(f9(x8521,x8522),x8522),x8521)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(857,plain,
% 1.80/1.87 (P1(f22(f12(f11(a1,a14),f10(f9(a1,x8571),x8571))))),
% 1.80/1.87 inference(scs_inference,[],[56,39,37,136,130,38,850,852,274,747,717,186,112,109,111,104,110,108,2,24,3,22,23,197])).
% 1.80/1.87 cnf(859,plain,
% 1.80/1.87 (P1(f24(f9(a19,f12(f11(a7,a13),a7))))),
% 1.80/1.87 inference(scs_inference,[],[56,39,37,136,130,38,850,852,274,796,747,717,186,112,109,111,104,110,108,2,24,3,22,23,197,120])).
% 1.80/1.87 cnf(861,plain,
% 1.80/1.87 (P1(f12(f11(a1,a14),f10(f9(a1,x8611),x8611)))),
% 1.80/1.87 inference(scs_inference,[],[56,39,37,136,130,38,850,852,274,796,747,717,186,112,109,111,104,110,108,2,24,3,22,23,197,120,102])).
% 1.80/1.87 cnf(863,plain,
% 1.80/1.87 (P2(f17(x8631),f17(f10(f9(x8631,x8632),x8632)))),
% 1.80/1.87 inference(scs_inference,[],[36,56,39,37,136,130,38,850,852,177,274,796,747,717,186,112,109,111,104,110,108,2,24,3,22,23,197,120,102,25])).
% 1.80/1.87 cnf(865,plain,
% 1.80/1.87 (P1(f25(f18(a7,a8),f18(a7,a8)))),
% 1.80/1.87 inference(scs_inference,[],[36,56,39,37,136,130,38,850,852,177,274,796,747,717,186,112,109,111,104,110,108,2,24,3,22,23,197,120,102,25,113])).
% 1.80/1.87 cnf(876,plain,
% 1.80/1.87 (P3(f10(f9(f17(x8761),x8762),x8762),f17(f10(f9(x8761,x8763),x8763)))),
% 1.80/1.87 inference(scs_inference,[],[138,296,438,771,779,859,102,104,110,2,24])).
% 1.80/1.87 cnf(879,plain,
% 1.80/1.87 (E(x8791,f10(f9(x8791,x8792),x8792))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(881,plain,
% 1.80/1.87 (P3(f10(f9(f17(x8811),x8812),x8812),f10(f9(f17(x8811),x8813),x8813))),
% 1.80/1.87 inference(scs_inference,[],[37,57,138,121,879,296,438,766,771,779,859,102,104,110,2,24,3,22,23])).
% 1.80/1.87 cnf(883,plain,
% 1.80/1.87 (~P1(f18(f25(a19,x8831),x8832))),
% 1.80/1.87 inference(scs_inference,[],[37,57,138,121,879,296,438,766,771,779,859,102,104,110,2,24,3,22,23,118])).
% 1.80/1.87 cnf(903,plain,
% 1.80/1.87 (~P3(f18(a7,f10(f9(a8,x9031),x9031)),f9(a19,a1))),
% 1.80/1.87 inference(scs_inference,[],[58,40,138,38,312,881,883,835,846,729,175,104,110,2,24,3,22,23])).
% 1.80/1.87 cnf(905,plain,
% 1.80/1.87 (P3(f18(a7,a8),f18(a7,a8))),
% 1.80/1.87 inference(scs_inference,[],[37,58,40,138,38,312,881,883,835,846,729,175,104,110,2,24,3,22,23,107])).
% 1.80/1.87 cnf(909,plain,
% 1.80/1.87 (P3(f12(f11(a8,a13),a7),f12(f11(a8,a13),a7))),
% 1.80/1.87 inference(scs_inference,[],[126,107])).
% 1.80/1.87 cnf(917,plain,
% 1.80/1.87 (~P3(f18(a7,f10(f9(a8,x9171),x9171)),f10(f9(f9(a19,a1),x9172),x9172))),
% 1.80/1.87 inference(scs_inference,[],[38,39,126,288,439,610,903,107,7,9,110,2,24])).
% 1.80/1.87 cnf(918,plain,
% 1.80/1.87 (E(f10(f9(x9181,x9182),x9182),x9181)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(920,plain,
% 1.80/1.87 (E(f10(f9(x9201,x9202),x9202),x9201)),
% 1.80/1.87 inference(rename_variables,[],[38])).
% 1.80/1.87 cnf(921,plain,
% 1.80/1.87 (P1(f24(f10(f9(a7,x9211),x9211)))),
% 1.80/1.87 inference(scs_inference,[],[38,918,59,39,126,288,439,610,903,810,107,7,9,110,2,24,3,22])).
% 1.80/1.87 cnf(922,plain,
% 1.80/1.87 (E(f24(x9221),f24(f10(f9(x9221,x9222),x9222)))),
% 1.80/1.87 inference(rename_variables,[],[288])).
% 1.80/1.87 cnf(959,plain,
% 1.80/1.87 (P1(f10(f9(a7,x9591),x9591))),
% 1.80/1.87 inference(scs_inference,[],[38,918,920,59,140,39,126,288,922,439,610,903,810,849,107,7,9,110,2,24,3,22,23,115,101,98,103,97,117,106,100,99,8,4,19,10,20,17,15,14,12,6,21,16,13,11,5,18,104])).
% 1.80/1.87 cnf(961,plain,
% 1.80/1.87 (~P3(f21(f12(f11(a8,a13),a7)),f25(x9611,a19))),
% 1.80/1.87 inference(scs_inference,[],[38,918,920,59,140,39,126,288,922,439,610,903,810,849,107,7,9,110,2,24,3,22,23,115,101,98,103,97,117,106,100,99,8,4,19,10,20,17,15,14,12,6,21,16,13,11,5,18,104,108])).
% 1.80/1.87 cnf(964,plain,
% 1.80/1.87 (E(x9641,f10(f9(x9641,x9642),x9642))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(972,plain,
% 1.80/1.87 (P3(f12(f11(a8,a13),a7),f12(f10(f9(f11(a8,a13),x9721),x9721),a7))),
% 1.80/1.87 inference(scs_inference,[],[60,126,140,121,292,863,959,909,25,104,108,110,2,24])).
% 1.80/1.87 cnf(984,plain,
% 1.80/1.87 (P1(f12(f11(f18(a7,a8),a14),f18(a7,a8)))),
% 1.80/1.87 inference(scs_inference,[],[38,60,126,140,121,964,292,863,876,959,865,909,25,104,108,110,2,24,3,22,23,197,112,102])).
% 1.80/1.87 cnf(1011,plain,
% 1.80/1.87 (~P3(f18(a7,a8),f10(f9(f9(a19,a1),x10111),x10111))),
% 1.80/1.87 inference(scs_inference,[],[142,126,136,121,293,314,316,440,761,984,961,972,917,173,112,109,102,111,108,9,110,2,24,3,22,23])).
% 1.80/1.87 cnf(1045,plain,
% 1.80/1.87 (E(x10451,f10(f9(x10451,x10452),x10452))),
% 1.80/1.87 inference(rename_variables,[],[121])).
% 1.80/1.87 cnf(1091,plain,
% 1.80/1.87 (P1(f9(a19,f12(f11(a8,a13),a7)))),
% 1.80/1.87 inference(scs_inference,[],[62,144,124,121,1045,311,441,608,857,861,1011,837,905,108,110,24,2,3,22,23,115,98,101,103,97,117,106,100,99,4,107,19,10,8,14,20,21,17,15,12,11,6,16,13,5,18,120,113,114,104])).
% 1.80/1.87 cnf(1097,plain,
% 1.80/1.87 ($false),
% 1.80/1.87 inference(scs_inference,[],[142,126,130,921,1091,107,104,110]),
% 1.80/1.87 ['proof']).
% 1.80/1.87 % SZS output end Proof
% 1.80/1.87 % Total time :1.210000s
%------------------------------------------------------------------------------