TSTP Solution File: SWW961+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW961+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 00:15:55 EDT 2023
% Result : Theorem 0.21s 0.78s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW961+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n026.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 18:40:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.76 %-------------------------------------------
% 0.21/0.76 % File :CSE---1.6
% 0.21/0.76 % Problem :theBenchmark
% 0.21/0.76 % Transform :cnf
% 0.21/0.76 % Format :tptp:raw
% 0.21/0.76 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.76
% 0.21/0.76 % Result :Theorem 0.120000s
% 0.21/0.76 % Output :CNFRefutation 0.120000s
% 0.21/0.76 %-------------------------------------------
% 0.21/0.76 %--------------------------------------------------------------------------
% 0.21/0.76 % File : SWW961+1 : TPTP v8.1.2. Released v7.4.0.
% 0.21/0.76 % Domain : Software Verification
% 0.21/0.76 % Problem : Attack on a variant of Needham-Schroeder-Lowe Public Key Protocol
% 0.21/0.76 % Version : [LT19] axioms : Especial.
% 0.21/0.76 % English : Attack on a modified version of Needham-Schroeder-Lowe Public Key
% 0.21/0.76 % Protocol. This variant introduces a flaw by using an associative
% 0.21/0.76 % pairing function. Attack demonstrates violation of weak agreement
% 0.21/0.76 % property of A to B.
% 0.21/0.76
% 0.21/0.76 % Refs : [BO97] Bull & Otway (1997), The Authentication Protocol
% 0.21/0.76 % : [RS98] Ryan & Schneider (1998), An Attack on a Recursive Auth
% 0.21/0.76 % : [LT19] Li & Tiu (2019), Combining ProVerif and Automated Theo
% 0.21/0.76 % : [Li20] Li (2020), Email to Geoff Sutcliffe
% 0.21/0.76 % Source : [Li20]
% 0.21/0.76 % Names : NSLPK-modified-agree-A-to-B.p [LT20]
% 0.21/0.76
% 0.21/0.76 % Status : Theorem
% 0.21/0.76 % Rating : 0.25 v7.5.0, 0.28 v7.4.0
% 0.21/0.76 % Syntax : Number of formulae : 177 ( 111 unt; 0 def)
% 0.21/0.76 % Number of atoms : 273 ( 91 equ)
% 0.21/0.76 % Maximal formula atoms : 7 ( 1 avg)
% 0.21/0.76 % Number of connectives : 176 ( 80 ~; 0 |; 30 &)
% 0.21/0.76 % ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% 0.21/0.76 % Maximal formula depth : 11 ( 3 avg)
% 0.21/0.76 % Maximal term depth : 6 ( 1 avg)
% 0.21/0.76 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.21/0.76 % Number of functors : 52 ( 52 usr; 15 con; 0-2 aty)
% 0.21/0.76 % Number of variables : 130 ( 130 !; 0 ?)
% 0.21/0.76 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.76
% 0.21/0.76 % Comments : Generated by a modified version of ProVerif used in the
% 0.21/0.76 % ProVerif-ATP project [LT19].
% 0.21/0.76 %--------------------------------------------------------------------------
% 0.21/0.76 fof(ax0,axiom,
% 0.21/0.76 constr_CONST_0x30 != constr_CONST_1 ).
% 0.21/0.76
% 0.21/0.76 fof(ax1,axiom,
% 0.21/0.76 constr_CONST_0x30 != constr_CONST_2 ).
% 0.21/0.76
% 0.21/0.76 fof(ax2,axiom,
% 0.21/0.76 constr_CONST_0x30 != constr_CONST_3 ).
% 0.21/0.76
% 0.21/0.76 fof(ax3,axiom,
% 0.21/0.76 constr_CONST_0x30 != constr_CONST_4 ).
% 0.21/0.76
% 0.21/0.76 fof(ax4,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_A ).
% 0.21/0.76
% 0.21/0.76 fof(ax5,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_B ).
% 0.21/0.76
% 0.21/0.76 fof(ax6,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_I ).
% 0.21/0.76
% 0.21/0.76 fof(ax7,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_c ).
% 0.21/0.76
% 0.21/0.76 fof(ax8,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_objective ).
% 0.21/0.76
% 0.21/0.76 fof(ax9,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_skA ).
% 0.21/0.76
% 0.21/0.76 fof(ax10,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_skB ).
% 0.21/0.76
% 0.21/0.76 fof(ax11,axiom,
% 0.21/0.76 constr_CONST_0x30 != name_skS ).
% 0.21/0.76
% 0.21/0.76 fof(ax12,axiom,
% 0.21/0.76 constr_CONST_1 != constr_CONST_2 ).
% 0.21/0.76
% 0.21/0.76 fof(ax13,axiom,
% 0.21/0.76 constr_CONST_1 != constr_CONST_3 ).
% 0.21/0.76
% 0.21/0.76 fof(ax14,axiom,
% 0.21/0.76 constr_CONST_1 != constr_CONST_4 ).
% 0.21/0.76
% 0.21/0.76 fof(ax15,axiom,
% 0.21/0.76 constr_CONST_1 != name_A ).
% 0.21/0.76
% 0.21/0.76 fof(ax16,axiom,
% 0.21/0.76 constr_CONST_1 != name_B ).
% 0.21/0.76
% 0.21/0.76 fof(ax17,axiom,
% 0.21/0.76 constr_CONST_1 != name_I ).
% 0.21/0.76
% 0.21/0.76 fof(ax18,axiom,
% 0.21/0.76 constr_CONST_1 != name_c ).
% 0.21/0.76
% 0.21/0.76 fof(ax19,axiom,
% 0.21/0.76 constr_CONST_1 != name_objective ).
% 0.21/0.76
% 0.21/0.76 fof(ax20,axiom,
% 0.21/0.76 constr_CONST_1 != name_skA ).
% 0.21/0.76
% 0.21/0.76 fof(ax21,axiom,
% 0.21/0.76 constr_CONST_1 != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax22,axiom,
% 0.21/0.77 constr_CONST_1 != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax23,axiom,
% 0.21/0.77 constr_CONST_2 != constr_CONST_3 ).
% 0.21/0.77
% 0.21/0.77 fof(ax24,axiom,
% 0.21/0.77 constr_CONST_2 != constr_CONST_4 ).
% 0.21/0.77
% 0.21/0.77 fof(ax25,axiom,
% 0.21/0.77 constr_CONST_2 != name_A ).
% 0.21/0.77
% 0.21/0.77 fof(ax26,axiom,
% 0.21/0.77 constr_CONST_2 != name_B ).
% 0.21/0.77
% 0.21/0.77 fof(ax27,axiom,
% 0.21/0.77 constr_CONST_2 != name_I ).
% 0.21/0.77
% 0.21/0.77 fof(ax28,axiom,
% 0.21/0.77 constr_CONST_2 != name_c ).
% 0.21/0.77
% 0.21/0.77 fof(ax29,axiom,
% 0.21/0.77 constr_CONST_2 != name_objective ).
% 0.21/0.77
% 0.21/0.77 fof(ax30,axiom,
% 0.21/0.77 constr_CONST_2 != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax31,axiom,
% 0.21/0.77 constr_CONST_2 != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax32,axiom,
% 0.21/0.77 constr_CONST_2 != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax33,axiom,
% 0.21/0.77 constr_CONST_3 != constr_CONST_4 ).
% 0.21/0.77
% 0.21/0.77 fof(ax34,axiom,
% 0.21/0.77 constr_CONST_3 != name_A ).
% 0.21/0.77
% 0.21/0.77 fof(ax35,axiom,
% 0.21/0.77 constr_CONST_3 != name_B ).
% 0.21/0.77
% 0.21/0.77 fof(ax36,axiom,
% 0.21/0.77 constr_CONST_3 != name_I ).
% 0.21/0.77
% 0.21/0.77 fof(ax37,axiom,
% 0.21/0.77 constr_CONST_3 != name_c ).
% 0.21/0.77
% 0.21/0.77 fof(ax38,axiom,
% 0.21/0.77 constr_CONST_3 != name_objective ).
% 0.21/0.77
% 0.21/0.77 fof(ax39,axiom,
% 0.21/0.77 constr_CONST_3 != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax40,axiom,
% 0.21/0.77 constr_CONST_3 != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax41,axiom,
% 0.21/0.77 constr_CONST_3 != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax42,axiom,
% 0.21/0.77 constr_CONST_4 != name_A ).
% 0.21/0.77
% 0.21/0.77 fof(ax43,axiom,
% 0.21/0.77 constr_CONST_4 != name_B ).
% 0.21/0.77
% 0.21/0.77 fof(ax44,axiom,
% 0.21/0.77 constr_CONST_4 != name_I ).
% 0.21/0.77
% 0.21/0.77 fof(ax45,axiom,
% 0.21/0.77 constr_CONST_4 != name_c ).
% 0.21/0.77
% 0.21/0.77 fof(ax46,axiom,
% 0.21/0.77 constr_CONST_4 != name_objective ).
% 0.21/0.77
% 0.21/0.77 fof(ax47,axiom,
% 0.21/0.77 constr_CONST_4 != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax48,axiom,
% 0.21/0.77 constr_CONST_4 != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax49,axiom,
% 0.21/0.77 constr_CONST_4 != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax50,axiom,
% 0.21/0.77 name_A != name_B ).
% 0.21/0.77
% 0.21/0.77 fof(ax51,axiom,
% 0.21/0.77 name_A != name_I ).
% 0.21/0.77
% 0.21/0.77 fof(ax52,axiom,
% 0.21/0.77 name_A != name_c ).
% 0.21/0.77
% 0.21/0.77 fof(ax53,axiom,
% 0.21/0.77 name_A != name_objective ).
% 0.21/0.77
% 0.21/0.77 fof(ax54,axiom,
% 0.21/0.77 name_A != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax55,axiom,
% 0.21/0.77 name_A != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax56,axiom,
% 0.21/0.77 name_A != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax57,axiom,
% 0.21/0.77 name_B != name_I ).
% 0.21/0.77
% 0.21/0.77 fof(ax58,axiom,
% 0.21/0.77 name_B != name_c ).
% 0.21/0.77
% 0.21/0.77 fof(ax59,axiom,
% 0.21/0.77 name_B != name_objective ).
% 0.21/0.77
% 0.21/0.77 fof(ax60,axiom,
% 0.21/0.77 name_B != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax61,axiom,
% 0.21/0.77 name_B != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax62,axiom,
% 0.21/0.77 name_B != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax63,axiom,
% 0.21/0.77 name_I != name_c ).
% 0.21/0.77
% 0.21/0.77 fof(ax64,axiom,
% 0.21/0.77 name_I != name_objective ).
% 0.21/0.77
% 0.21/0.77 fof(ax65,axiom,
% 0.21/0.77 name_I != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax66,axiom,
% 0.21/0.77 name_I != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax67,axiom,
% 0.21/0.77 name_I != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax68,axiom,
% 0.21/0.77 name_c != name_objective ).
% 0.21/0.77
% 0.21/0.77 fof(ax69,axiom,
% 0.21/0.77 name_c != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax70,axiom,
% 0.21/0.77 name_c != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax71,axiom,
% 0.21/0.77 name_c != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax72,axiom,
% 0.21/0.77 name_objective != name_skA ).
% 0.21/0.77
% 0.21/0.77 fof(ax73,axiom,
% 0.21/0.77 name_objective != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax74,axiom,
% 0.21/0.77 name_objective != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax75,axiom,
% 0.21/0.77 name_skA != name_skB ).
% 0.21/0.77
% 0.21/0.77 fof(ax76,axiom,
% 0.21/0.77 name_skA != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax77,axiom,
% 0.21/0.77 name_skB != name_skS ).
% 0.21/0.77
% 0.21/0.77 fof(ax78,axiom,
% 0.21/0.77 ! [VAR_K_24,VAR_M_23] : constr_adec(constr_aenc(VAR_M_23,constr_pkey(VAR_K_24)),VAR_K_24) = VAR_M_23 ).
% 0.21/0.77
% 0.21/0.77 fof(ax79,axiom,
% 0.21/0.77 ! [VAR_K_22,VAR_M_21] : constr_dec(constr_enc(VAR_M_21,VAR_K_22),VAR_K_22) = VAR_M_21 ).
% 0.21/0.77
% 0.21/0.77 fof(ax80,axiom,
% 0.21/0.77 ! [VAR_K_20X30,VAR_M_19] : constr_getmess(constr_sign(VAR_M_19,VAR_K_20X30)) = VAR_M_19 ).
% 0.21/0.77
% 0.21/0.77 fof(ax81,axiom,
% 0.21/0.77 ! [VAR_K_0X30,VAR_M_0X30] : constr_checksign(constr_sign(VAR_M_0X30,VAR_K_0X30),constr_pkey(VAR_K_0X30)) = VAR_M_0X30 ).
% 0.21/0.77
% 0.21/0.77 fof(ax82,axiom,
% 0.21/0.77 ! [VAR_X_17,VAR_Y_18,VAR_Z_0X30] : tuple_assoc_pair(VAR_X_17,tuple_assoc_pair(VAR_Y_18,VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17,VAR_Y_18),VAR_Z_0X30) ).
% 0.21/0.77
% 0.21/0.77 fof(ax83,axiom,
% 0.21/0.77 ! [VAR_X0X30_15,VAR_X1_16] : constr_assoc_pair_2_get_1_bitstring(tuple_assoc_pair(VAR_X0X30_15,VAR_X1_16)) = VAR_X1_16 ).
% 0.21/0.77
% 0.21/0.77 fof(ax84,axiom,
% 0.21/0.77 ! [VAR_X0X30_13,VAR_X1_14] : constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(VAR_X0X30_13,VAR_X1_14)) = VAR_X0X30_13 ).
% 0.21/0.77
% 0.21/0.77 fof(ax85,axiom,
% 0.21/0.77 ! [VAR_X0X30_11,VAR_X1_12] : constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11,VAR_X1_12)) = VAR_X1_12 ).
% 0.21/0.77
% 0.21/0.77 fof(ax86,axiom,
% 0.21/0.77 ! [VAR_X0X30_9,VAR_X1_10X30] : constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9,VAR_X1_10X30)) = VAR_X0X30_9 ).
% 0.21/0.77
% 0.21/0.77 fof(ax87,axiom,
% 0.21/0.77 ! [VAR_X0X30_7,VAR_X1_8] : constr_tuple_2_get_1_bitstring(tuple_2(VAR_X0X30_7,VAR_X1_8)) = VAR_X1_8 ).
% 0.21/0.77
% 0.21/0.77 fof(ax88,axiom,
% 0.21/0.77 ! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_0x30(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X0X30_0X30 ).
% 0.21/0.77
% 0.21/0.77 fof(ax89,axiom,
% 0.21/0.77 ! [VAR_X_41,VAR_Y_42] : pred_eq_bitstring_bitstring(VAR_X_41,VAR_Y_42) ).
% 0.21/0.77
% 0.21/0.77 fof(ax90,axiom,
% 0.21/0.77 ! [VAR_V_48] :
% 0.21/0.77 ( pred_attacker(VAR_V_48)
% 0.21/0.77 => pred_attacker(constr_tuple_2_get_1_bitstring(VAR_V_48)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax91,axiom,
% 0.21/0.77 ! [VAR_V_50X30] :
% 0.21/0.77 ( pred_attacker(VAR_V_50X30)
% 0.21/0.77 => pred_attacker(constr_tuple_2_get_0x30(VAR_V_50X30)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax92,axiom,
% 0.21/0.77 pred_attacker(tuple_true) ).
% 0.21/0.77
% 0.21/0.77 fof(ax93,axiom,
% 0.21/0.77 ! [VAR_V_53,VAR_V_54] :
% 0.21/0.77 ( ( pred_attacker(VAR_V_53)
% 0.21/0.77 & pred_attacker(VAR_V_54) )
% 0.21/0.77 => pred_attacker(constr_sign(VAR_V_53,VAR_V_54)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax94,axiom,
% 0.21/0.77 ! [VAR_V_56] :
% 0.21/0.77 ( pred_attacker(VAR_V_56)
% 0.21/0.77 => pred_attacker(constr_pkey(VAR_V_56)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax95,axiom,
% 0.21/0.77 ! [VAR_V_58] :
% 0.21/0.77 ( pred_attacker(VAR_V_58)
% 0.21/0.77 => pred_attacker(tuple_out_3(VAR_V_58)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax96,axiom,
% 0.21/0.77 ! [VAR_V_61] :
% 0.21/0.77 ( pred_attacker(tuple_out_3(VAR_V_61))
% 0.21/0.77 => pred_attacker(VAR_V_61) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax97,axiom,
% 0.21/0.77 ! [VAR_V_64] :
% 0.21/0.77 ( pred_attacker(VAR_V_64)
% 0.21/0.77 => pred_attacker(tuple_out_2(VAR_V_64)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax98,axiom,
% 0.21/0.77 ! [VAR_V_67] :
% 0.21/0.77 ( pred_attacker(tuple_out_2(VAR_V_67))
% 0.21/0.77 => pred_attacker(VAR_V_67) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax99,axiom,
% 0.21/0.77 ! [VAR_V_70X30] :
% 0.21/0.77 ( pred_attacker(VAR_V_70X30)
% 0.21/0.77 => pred_attacker(tuple_out_1(VAR_V_70X30)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax100,axiom,
% 0.21/0.77 ! [VAR_V_73] :
% 0.21/0.77 ( pred_attacker(tuple_out_1(VAR_V_73))
% 0.21/0.77 => pred_attacker(VAR_V_73) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax101,axiom,
% 0.21/0.77 ! [VAR_V_77] :
% 0.21/0.77 ( pred_attacker(VAR_V_77)
% 0.21/0.77 => pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_77)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax102,axiom,
% 0.21/0.77 ! [VAR_V_80X30] :
% 0.21/0.77 ( pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_80X30))
% 0.21/0.77 => pred_attacker(VAR_V_80X30) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax103,axiom,
% 0.21/0.77 ! [VAR_V_84,VAR_V_85] :
% 0.21/0.77 ( ( pred_attacker(VAR_V_84)
% 0.21/0.77 & pred_attacker(VAR_V_85) )
% 0.21/0.77 => pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_84,VAR_V_85)) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax104,axiom,
% 0.21/0.77 ! [VAR_V_92,VAR_V_93] :
% 0.21/0.77 ( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_92,VAR_V_93))
% 0.21/0.77 => pred_attacker(VAR_V_92) ) ).
% 0.21/0.77
% 0.21/0.77 fof(ax105,axiom,
% 0.21/0.77 ! [VAR_V_95,VAR_V_96] :
% 0.21/0.78 ( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_95,VAR_V_96))
% 0.21/0.78 => pred_attacker(VAR_V_96) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax106,axiom,
% 0.21/0.78 ! [VAR_V_10X300X30,VAR_V_10X301] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_10X300X30)
% 0.21/0.78 & pred_attacker(VAR_V_10X301) )
% 0.21/0.78 => pred_attacker(tuple_key_register_server_in_1(VAR_V_10X300X30,VAR_V_10X301)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax107,axiom,
% 0.21/0.78 ! [VAR_V_10X308,VAR_V_10X309] :
% 0.21/0.78 ( pred_attacker(tuple_key_register_server_in_1(VAR_V_10X308,VAR_V_10X309))
% 0.21/0.78 => pred_attacker(VAR_V_10X308) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax108,axiom,
% 0.21/0.78 ! [VAR_V_111,VAR_V_112] :
% 0.21/0.78 ( pred_attacker(tuple_key_register_server_in_1(VAR_V_111,VAR_V_112))
% 0.21/0.78 => pred_attacker(VAR_V_112) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax109,axiom,
% 0.21/0.78 ! [VAR_V_115] :
% 0.21/0.78 ( pred_attacker(VAR_V_115)
% 0.21/0.78 => pred_attacker(constr_getmess(VAR_V_115)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax110,axiom,
% 0.21/0.78 pred_attacker(tuple_false) ).
% 0.21/0.78
% 0.21/0.78 fof(ax111,axiom,
% 0.21/0.78 ! [VAR_V_118,VAR_V_119] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_118)
% 0.21/0.78 & pred_attacker(VAR_V_119) )
% 0.21/0.78 => pred_attacker(constr_enc(VAR_V_118,VAR_V_119)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax112,axiom,
% 0.21/0.78 ! [VAR_V_122,VAR_V_123] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_122)
% 0.21/0.78 & pred_attacker(VAR_V_123) )
% 0.21/0.78 => pred_attacker(constr_dec(VAR_V_122,VAR_V_123)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax113,axiom,
% 0.21/0.78 ! [VAR_V_125] :
% 0.21/0.78 ( pred_attacker(VAR_V_125)
% 0.21/0.78 => pred_attacker(tuple_client_B_out_6(VAR_V_125)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax114,axiom,
% 0.21/0.78 ! [VAR_V_128] :
% 0.21/0.78 ( pred_attacker(tuple_client_B_out_6(VAR_V_128))
% 0.21/0.78 => pred_attacker(VAR_V_128) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax115,axiom,
% 0.21/0.78 ! [VAR_V_131] :
% 0.21/0.78 ( pred_attacker(VAR_V_131)
% 0.21/0.78 => pred_attacker(tuple_client_B_out_4(VAR_V_131)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax116,axiom,
% 0.21/0.78 ! [VAR_V_134] :
% 0.21/0.78 ( pred_attacker(tuple_client_B_out_4(VAR_V_134))
% 0.21/0.78 => pred_attacker(VAR_V_134) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax117,axiom,
% 0.21/0.78 ! [VAR_V_138,VAR_V_139] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_138)
% 0.21/0.78 & pred_attacker(VAR_V_139) )
% 0.21/0.78 => pred_attacker(tuple_client_B_out_1(VAR_V_138,VAR_V_139)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax118,axiom,
% 0.21/0.78 ! [VAR_V_146,VAR_V_147] :
% 0.21/0.78 ( pred_attacker(tuple_client_B_out_1(VAR_V_146,VAR_V_147))
% 0.21/0.78 => pred_attacker(VAR_V_146) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax119,axiom,
% 0.21/0.78 ! [VAR_V_149,VAR_V_150X30] :
% 0.21/0.78 ( pred_attacker(tuple_client_B_out_1(VAR_V_149,VAR_V_150X30))
% 0.21/0.78 => pred_attacker(VAR_V_150X30) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax120,axiom,
% 0.21/0.78 ! [VAR_V_153] :
% 0.21/0.78 ( pred_attacker(VAR_V_153)
% 0.21/0.78 => pred_attacker(tuple_client_B_in_5(VAR_V_153)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax121,axiom,
% 0.21/0.78 ! [VAR_V_156] :
% 0.21/0.78 ( pred_attacker(tuple_client_B_in_5(VAR_V_156))
% 0.21/0.78 => pred_attacker(VAR_V_156) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax122,axiom,
% 0.21/0.78 ! [VAR_V_159] :
% 0.21/0.78 ( pred_attacker(VAR_V_159)
% 0.21/0.78 => pred_attacker(tuple_client_B_in_3(VAR_V_159)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax123,axiom,
% 0.21/0.78 ! [VAR_V_162] :
% 0.21/0.78 ( pred_attacker(tuple_client_B_in_3(VAR_V_162))
% 0.21/0.78 => pred_attacker(VAR_V_162) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax124,axiom,
% 0.21/0.78 ! [VAR_V_165] :
% 0.21/0.78 ( pred_attacker(VAR_V_165)
% 0.21/0.78 => pred_attacker(tuple_client_B_in_2(VAR_V_165)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax125,axiom,
% 0.21/0.78 ! [VAR_V_168] :
% 0.21/0.78 ( pred_attacker(tuple_client_B_in_2(VAR_V_168))
% 0.21/0.78 => pred_attacker(VAR_V_168) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax126,axiom,
% 0.21/0.78 ! [VAR_V_171] :
% 0.21/0.78 ( pred_attacker(VAR_V_171)
% 0.21/0.78 => pred_attacker(tuple_client_A_out_5(VAR_V_171)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax127,axiom,
% 0.21/0.78 ! [VAR_V_174] :
% 0.21/0.78 ( pred_attacker(tuple_client_A_out_5(VAR_V_174))
% 0.21/0.78 => pred_attacker(VAR_V_174) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax128,axiom,
% 0.21/0.78 ! [VAR_V_177] :
% 0.21/0.78 ( pred_attacker(VAR_V_177)
% 0.21/0.78 => pred_attacker(tuple_client_A_out_3(VAR_V_177)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax129,axiom,
% 0.21/0.78 ! [VAR_V_180X30] :
% 0.21/0.78 ( pred_attacker(tuple_client_A_out_3(VAR_V_180X30))
% 0.21/0.78 => pred_attacker(VAR_V_180X30) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax130,axiom,
% 0.21/0.78 ! [VAR_V_184,VAR_V_185] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_184)
% 0.21/0.78 & pred_attacker(VAR_V_185) )
% 0.21/0.78 => pred_attacker(tuple_client_A_out_1(VAR_V_184,VAR_V_185)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax131,axiom,
% 0.21/0.78 ! [VAR_V_192,VAR_V_193] :
% 0.21/0.78 ( pred_attacker(tuple_client_A_out_1(VAR_V_192,VAR_V_193))
% 0.21/0.78 => pred_attacker(VAR_V_192) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax132,axiom,
% 0.21/0.78 ! [VAR_V_195,VAR_V_196] :
% 0.21/0.78 ( pred_attacker(tuple_client_A_out_1(VAR_V_195,VAR_V_196))
% 0.21/0.78 => pred_attacker(VAR_V_196) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax133,axiom,
% 0.21/0.78 ! [VAR_V_199] :
% 0.21/0.78 ( pred_attacker(VAR_V_199)
% 0.21/0.78 => pred_attacker(tuple_client_A_in_4(VAR_V_199)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax134,axiom,
% 0.21/0.78 ! [VAR_V_20X302] :
% 0.21/0.78 ( pred_attacker(tuple_client_A_in_4(VAR_V_20X302))
% 0.21/0.78 => pred_attacker(VAR_V_20X302) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax135,axiom,
% 0.21/0.78 ! [VAR_V_20X305] :
% 0.21/0.78 ( pred_attacker(VAR_V_20X305)
% 0.21/0.78 => pred_attacker(tuple_client_A_in_2(VAR_V_20X305)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax136,axiom,
% 0.21/0.78 ! [VAR_V_20X308] :
% 0.21/0.78 ( pred_attacker(tuple_client_A_in_2(VAR_V_20X308))
% 0.21/0.78 => pred_attacker(VAR_V_20X308) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax137,axiom,
% 0.21/0.78 ! [VAR_V_212,VAR_V_213] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_212)
% 0.21/0.78 & pred_attacker(VAR_V_213) )
% 0.21/0.78 => pred_attacker(constr_checksign(VAR_V_212,VAR_V_213)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax138,axiom,
% 0.21/0.78 ! [VAR_V_215] :
% 0.21/0.78 ( pred_attacker(VAR_V_215)
% 0.21/0.78 => pred_attacker(constr_assoc_pair_2_get_1_bitstring(VAR_V_215)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax139,axiom,
% 0.21/0.78 ! [VAR_V_217] :
% 0.21/0.78 ( pred_attacker(VAR_V_217)
% 0.21/0.78 => pred_attacker(constr_assoc_pair_2_get_1(VAR_V_217)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax140,axiom,
% 0.21/0.78 ! [VAR_V_219] :
% 0.21/0.78 ( pred_attacker(VAR_V_219)
% 0.21/0.78 => pred_attacker(constr_assoc_pair_2_get_0x30_bitstring(VAR_V_219)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax141,axiom,
% 0.21/0.78 ! [VAR_V_221] :
% 0.21/0.78 ( pred_attacker(VAR_V_221)
% 0.21/0.78 => pred_attacker(constr_assoc_pair_2_get_0x30(VAR_V_221)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax142,axiom,
% 0.21/0.78 ! [VAR_V_224,VAR_V_225] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_224)
% 0.21/0.78 & pred_attacker(VAR_V_225) )
% 0.21/0.78 => pred_attacker(tuple_assoc_pair(VAR_V_224,VAR_V_225)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax143,axiom,
% 0.21/0.78 ! [VAR_V_232,VAR_V_233] :
% 0.21/0.78 ( pred_attacker(tuple_assoc_pair(VAR_V_232,VAR_V_233))
% 0.21/0.78 => pred_attacker(VAR_V_232) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax144,axiom,
% 0.21/0.78 ! [VAR_V_235,VAR_V_236] :
% 0.21/0.78 ( pred_attacker(tuple_assoc_pair(VAR_V_235,VAR_V_236))
% 0.21/0.78 => pred_attacker(VAR_V_236) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax145,axiom,
% 0.21/0.78 ! [VAR_V_240X30,VAR_V_241] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_240X30)
% 0.21/0.78 & pred_attacker(VAR_V_241) )
% 0.21/0.78 => pred_attacker(constr_aenc(VAR_V_240X30,VAR_V_241)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax146,axiom,
% 0.21/0.78 ! [VAR_V_244,VAR_V_245] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_244)
% 0.21/0.78 & pred_attacker(VAR_V_245) )
% 0.21/0.78 => pred_attacker(constr_adec(VAR_V_244,VAR_V_245)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax147,axiom,
% 0.21/0.78 pred_attacker(constr_CONST_4) ).
% 0.21/0.78
% 0.21/0.78 fof(ax148,axiom,
% 0.21/0.78 pred_attacker(constr_CONST_3) ).
% 0.21/0.78
% 0.21/0.78 fof(ax149,axiom,
% 0.21/0.78 pred_attacker(constr_CONST_2) ).
% 0.21/0.78
% 0.21/0.78 fof(ax150,axiom,
% 0.21/0.78 pred_attacker(constr_CONST_1) ).
% 0.21/0.78
% 0.21/0.78 fof(ax151,axiom,
% 0.21/0.78 pred_attacker(constr_CONST_0x30) ).
% 0.21/0.78
% 0.21/0.78 fof(ax152,axiom,
% 0.21/0.78 ! [VAR_V_252,VAR_V_253] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_252)
% 0.21/0.78 & pred_attacker(VAR_V_253) )
% 0.21/0.78 => pred_attacker(tuple_2(VAR_V_252,VAR_V_253)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax153,axiom,
% 0.21/0.78 ! [VAR_V_260X30,VAR_V_261] :
% 0.21/0.78 ( pred_attacker(tuple_2(VAR_V_260X30,VAR_V_261))
% 0.21/0.78 => pred_attacker(VAR_V_260X30) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax154,axiom,
% 0.21/0.78 ! [VAR_V_263,VAR_V_264] :
% 0.21/0.78 ( pred_attacker(tuple_2(VAR_V_263,VAR_V_264))
% 0.21/0.78 => pred_attacker(VAR_V_264) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax155,axiom,
% 0.21/0.78 ! [VAR_V_266,VAR_V_267] :
% 0.21/0.78 ( ( pred_mess(VAR_V_267,VAR_V_266)
% 0.21/0.78 & pred_attacker(VAR_V_267) )
% 0.21/0.78 => pred_attacker(VAR_V_266) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax156,axiom,
% 0.21/0.78 ! [VAR_V_268,VAR_V_269] :
% 0.21/0.78 ( ( pred_attacker(VAR_V_269)
% 0.21/0.78 & pred_attacker(VAR_V_268) )
% 0.21/0.78 => pred_mess(VAR_V_269,VAR_V_268) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax157,axiom,
% 0.21/0.78 pred_attacker(name_c) ).
% 0.21/0.78
% 0.21/0.78 fof(ax158,axiom,
% 0.21/0.78 pred_attacker(name_I) ).
% 0.21/0.78
% 0.21/0.78 fof(ax159,axiom,
% 0.21/0.78 pred_attacker(name_B) ).
% 0.21/0.78
% 0.21/0.78 fof(ax160,axiom,
% 0.21/0.78 pred_attacker(name_A) ).
% 0.21/0.78
% 0.21/0.78 fof(ax161,axiom,
% 0.21/0.78 ! [VAR_V_271] : pred_equal(VAR_V_271,VAR_V_271) ).
% 0.21/0.78
% 0.21/0.78 fof(ax162,axiom,
% 0.21/0.78 ! [VAR_V_272] : pred_attacker(name_new0x2Dname(VAR_V_272)) ).
% 0.21/0.78
% 0.21/0.78 fof(ax163,axiom,
% 0.21/0.78 pred_table(tuple_keys(name_A,constr_pkey(name_skA))) ).
% 0.21/0.78
% 0.21/0.78 fof(ax164,axiom,
% 0.21/0.78 pred_table(tuple_keys(name_B,constr_pkey(name_skB))) ).
% 0.21/0.78
% 0.21/0.78 fof(ax165,axiom,
% 0.21/0.78 pred_attacker(tuple_out_1(constr_pkey(name_skA))) ).
% 0.21/0.78
% 0.21/0.78 fof(ax166,axiom,
% 0.21/0.78 pred_attacker(tuple_out_2(constr_pkey(name_skB))) ).
% 0.21/0.78
% 0.21/0.78 fof(ax167,axiom,
% 0.21/0.78 pred_attacker(tuple_out_3(constr_pkey(name_skS))) ).
% 0.21/0.78
% 0.21/0.78 fof(ax168,axiom,
% 0.21/0.78 pred_attacker(tuple_client_A_out_1(name_A,name_I)) ).
% 0.21/0.78
% 0.21/0.78 fof(ax169,axiom,
% 0.21/0.78 ! [VAR_0X40SID_392,VAR_SIGN_I_PKI_391] :
% 0.21/0.78 ( ( pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_391,constr_pkey(name_skS))))
% 0.21/0.78 & pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_391)) )
% 0.21/0.78 => pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_assoc_pair(name_Na(VAR_0X40SID_392),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_391,constr_pkey(name_skS)))))) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax170,axiom,
% 0.21/0.78 ! [VAR_0X40SID_463,VAR_AENC_NA_NI_I_462,VAR_SIGN_I_PKI_464] :
% 0.21/0.78 ( ( pred_eq_bitstring_bitstring(name_I,constr_assoc_pair_2_get_1(constr_assoc_pair_2_get_1_bitstring(constr_adec(VAR_AENC_NA_NI_I_462,name_skA))))
% 0.21/0.78 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_463),constr_assoc_pair_2_get_0x30(constr_adec(VAR_AENC_NA_NI_I_462,name_skA)))
% 0.21/0.78 & pred_attacker(tuple_client_A_in_4(VAR_AENC_NA_NI_I_462))
% 0.21/0.78 & pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_464,constr_pkey(name_skS))))
% 0.21/0.78 & pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_464)) )
% 0.21/0.78 => pred_attacker(tuple_client_A_out_5(constr_aenc(constr_assoc_pair_2_get_0x30_bitstring(constr_assoc_pair_2_get_1_bitstring(constr_adec(VAR_AENC_NA_NI_I_462,name_skA))),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_464,constr_pkey(name_skS)))))) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax171,axiom,
% 0.21/0.78 pred_attacker(tuple_client_B_out_1(name_B,name_A)) ).
% 0.21/0.78
% 0.21/0.78 fof(ax172,axiom,
% 0.21/0.78 ! [VAR_0X40SID_581,VAR_AENC_NA_A_579,VAR_SIGN_A_PKA_580X30] :
% 0.21/0.78 ( ( pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(VAR_AENC_NA_A_579,name_skB)))
% 0.21/0.78 & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))
% 0.21/0.78 & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30,constr_pkey(name_skS))))
% 0.21/0.78 & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)) )
% 0.21/0.78 => pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_assoc_pair(constr_assoc_pair_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_A_579,name_skB)),tuple_assoc_pair(name_Nb(VAR_0X40SID_581),name_B)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_A_PKA_580X30,constr_pkey(name_skS)))))) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax173,axiom,
% 0.21/0.78 ! [VAR_0X40SID_60X305,VAR_AENC_NA_A_60X307,VAR_AENC_NB_60X306,VAR_SIGN_A_PKA_60X308] :
% 0.21/0.78 ( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_60X305),constr_adec(VAR_AENC_NB_60X306,name_skB))
% 0.21/0.78 & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_60X306))
% 0.21/0.78 & pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(VAR_AENC_NA_A_60X307,name_skB)))
% 0.21/0.78 & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_60X307))
% 0.21/0.78 & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_60X308,constr_pkey(name_skS))))
% 0.21/0.78 & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_60X308)) )
% 0.21/0.78 => pred_attacker(tuple_client_B_out_6(name_objective)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax174,axiom,
% 0.21/0.78 ! [VAR_DST_647,VAR_PKDST_648,VAR_SRC_649] :
% 0.21/0.78 ( ( pred_table(tuple_keys(VAR_DST_647,VAR_PKDST_648))
% 0.21/0.78 & pred_attacker(tuple_key_retrieval_server_in_1(VAR_SRC_649,VAR_DST_647)) )
% 0.21/0.78 => pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(VAR_DST_647,VAR_PKDST_648),name_skS))) ) ).
% 0.21/0.78
% 0.21/0.78 fof(ax175,axiom,
% 0.21/0.78 ! [VAR_HOST_70X301,VAR_PK_70X302] :
% 0.21/0.78 ( ( VAR_HOST_70X301 != name_B
% 0.21/0.78 & VAR_HOST_70X301 != name_A
% 0.21/0.78 & pred_attacker(tuple_key_register_server_in_1(VAR_HOST_70X301,VAR_PK_70X302)) )
% 0.21/0.78 => pred_table(tuple_keys(VAR_HOST_70X301,VAR_PK_70X302)) ) ).
% 0.21/0.78
% 0.21/0.78 fof(co0,conjecture,
% 0.21/0.78 pred_attacker(name_objective) ).
% 0.21/0.78
% 0.21/0.78 %--------------------------------------------------------------------------
% 0.21/0.78 %-------------------------------------------
% 0.21/0.78 % Proof found
% 0.21/0.78 % SZS status Theorem for theBenchmark
% 0.21/0.78 % SZS output start Proof
% 0.21/0.79 %ClaNum:235(EqnAxiom:59)
% 0.21/0.79 %VarNum:229(SingletonVarNum:126)
% 0.21/0.79 %MaxLitNum:4
% 0.21/0.79 %MaxfuncDepth:5
% 0.21/0.79 %SharedTerms:124
% 0.21/0.79 %goalClause: 169
% 0.21/0.79 %singleGoalClaCount:1
% 0.21/0.79 [60]P1(a1)
% 0.21/0.79 [61]P1(a2)
% 0.21/0.79 [62]P1(a3)
% 0.21/0.79 [63]P1(a4)
% 0.21/0.79 [64]P1(a5)
% 0.21/0.79 [65]P1(a6)
% 0.21/0.79 [66]P1(a21)
% 0.21/0.79 [67]P1(a22)
% 0.21/0.79 [68]P1(a23)
% 0.21/0.79 [69]P1(a26)
% 0.21/0.79 [70]P1(a27)
% 0.21/0.79 [91]~E(a1,a2)
% 0.21/0.79 [92]~E(a1,a3)
% 0.21/0.79 [93]~E(a3,a2)
% 0.21/0.79 [94]~E(a1,a4)
% 0.21/0.79 [95]~E(a4,a2)
% 0.21/0.79 [96]~E(a4,a3)
% 0.21/0.79 [97]~E(a1,a5)
% 0.21/0.79 [98]~E(a5,a2)
% 0.21/0.79 [99]~E(a5,a3)
% 0.21/0.79 [100]~E(a5,a4)
% 0.21/0.79 [101]~E(a1,a6)
% 0.21/0.79 [102]~E(a6,a2)
% 0.21/0.79 [103]~E(a6,a3)
% 0.21/0.79 [104]~E(a6,a4)
% 0.21/0.79 [105]~E(a6,a5)
% 0.21/0.79 [106]~E(a1,a21)
% 0.21/0.79 [107]~E(a21,a2)
% 0.21/0.79 [108]~E(a21,a3)
% 0.21/0.79 [109]~E(a21,a4)
% 0.21/0.79 [110]~E(a21,a5)
% 0.21/0.79 [111]~E(a21,a6)
% 0.21/0.79 [112]~E(a1,a22)
% 0.21/0.79 [113]~E(a22,a2)
% 0.21/0.79 [114]~E(a22,a3)
% 0.21/0.79 [115]~E(a22,a4)
% 0.21/0.79 [116]~E(a22,a5)
% 0.21/0.79 [117]~E(a22,a6)
% 0.21/0.79 [118]~E(a22,a21)
% 0.21/0.79 [119]~E(a1,a23)
% 0.21/0.79 [120]~E(a23,a2)
% 0.21/0.79 [121]~E(a23,a3)
% 0.21/0.79 [122]~E(a23,a4)
% 0.21/0.79 [123]~E(a23,a5)
% 0.21/0.79 [124]~E(a23,a6)
% 0.21/0.79 [125]~E(a23,a21)
% 0.21/0.79 [126]~E(a23,a22)
% 0.21/0.79 [127]~E(a1,a32)
% 0.21/0.79 [128]~E(a32,a2)
% 0.21/0.79 [129]~E(a32,a3)
% 0.21/0.79 [130]~E(a32,a4)
% 0.21/0.79 [131]~E(a32,a5)
% 0.21/0.79 [132]~E(a32,a6)
% 0.21/0.79 [133]~E(a32,a21)
% 0.21/0.79 [134]~E(a32,a22)
% 0.21/0.79 [135]~E(a32,a23)
% 0.21/0.79 [136]~E(a1,a31)
% 0.21/0.79 [137]~E(a31,a2)
% 0.21/0.79 [138]~E(a31,a3)
% 0.21/0.79 [139]~E(a31,a4)
% 0.21/0.79 [140]~E(a31,a5)
% 0.21/0.79 [141]~E(a31,a6)
% 0.21/0.79 [142]~E(a31,a21)
% 0.21/0.79 [143]~E(a31,a22)
% 0.21/0.79 [144]~E(a31,a23)
% 0.21/0.79 [145]~E(a32,a31)
% 0.21/0.79 [146]~E(a1,a30)
% 0.21/0.79 [147]~E(a30,a2)
% 0.21/0.79 [148]~E(a30,a3)
% 0.21/0.79 [149]~E(a30,a4)
% 0.21/0.79 [150]~E(a30,a5)
% 0.21/0.79 [151]~E(a30,a6)
% 0.21/0.79 [152]~E(a30,a21)
% 0.21/0.79 [153]~E(a30,a22)
% 0.21/0.79 [154]~E(a30,a23)
% 0.21/0.79 [155]~E(a32,a30)
% 0.21/0.79 [156]~E(a31,a30)
% 0.21/0.79 [157]~E(a1,a29)
% 0.21/0.79 [158]~E(a29,a2)
% 0.21/0.79 [159]~E(a29,a3)
% 0.21/0.79 [160]~E(a29,a4)
% 0.21/0.79 [161]~E(a29,a5)
% 0.21/0.79 [162]~E(a29,a6)
% 0.21/0.79 [163]~E(a29,a21)
% 0.21/0.79 [164]~E(a29,a22)
% 0.21/0.79 [165]~E(a29,a23)
% 0.21/0.79 [166]~E(a32,a29)
% 0.21/0.79 [167]~E(a31,a29)
% 0.21/0.79 [168]~E(a30,a29)
% 0.21/0.79 [169]~P1(a32)
% 0.21/0.79 [76]P1(f33(a21,a6))
% 0.21/0.79 [77]P1(f34(a6,a22))
% 0.21/0.79 [73]P1(f46(f7(a29)))
% 0.21/0.79 [74]P1(f47(f7(a30)))
% 0.21/0.79 [75]P1(f48(f7(a31)))
% 0.21/0.79 [85]P3(f49(a6,f7(a31)))
% 0.21/0.79 [86]P3(f49(a21,f7(a30)))
% 0.21/0.79 [72]P2(x721,x721)
% 0.21/0.79 [71]P1(f28(x711))
% 0.21/0.79 [78]E(f8(f18(x781,x782)),x781)
% 0.21/0.79 [79]E(f9(f35(x791,x792)),x792)
% 0.21/0.79 [80]E(f10(f35(x801,x802)),x801)
% 0.21/0.79 [81]E(f14(f35(x811,x812)),x812)
% 0.21/0.79 [82]E(f11(f35(x821,x822)),x821)
% 0.21/0.79 [83]E(f19(f36(x831,x832)),x832)
% 0.21/0.79 [84]E(f20(f36(x841,x842)),x841)
% 0.21/0.79 [87]E(f16(f15(x871,x872),x872),x871)
% 0.21/0.79 [88]E(f17(f18(x881,x882),f7(x882)),x881)
% 0.21/0.79 [89]E(f13(f12(x891,f7(x892)),x892),x891)
% 0.21/0.79 [90]E(f35(f35(x901,x902),x903),f35(x901,f35(x902,x903)))
% 0.21/0.79 [170]~P1(x1701)+P1(f7(x1701))
% 0.21/0.79 [171]~P1(x1711)+P1(f8(x1711))
% 0.21/0.79 [172]~P1(x1721)+P1(f9(x1721))
% 0.21/0.79 [173]~P1(x1731)+P1(f10(x1731))
% 0.21/0.79 [174]~P1(x1741)+P1(f14(x1741))
% 0.21/0.79 [175]~P1(x1751)+P1(f11(x1751))
% 0.21/0.79 [176]~P1(x1761)+P1(f19(x1761))
% 0.21/0.79 [177]~P1(x1771)+P1(f20(x1771))
% 0.21/0.79 [178]~P1(x1781)+P1(f46(x1781))
% 0.21/0.79 [179]~P1(x1791)+P1(f47(x1791))
% 0.21/0.79 [180]~P1(x1801)+P1(f48(x1801))
% 0.21/0.79 [181]~P1(x1811)+P1(f50(x1811))
% 0.21/0.79 [182]~P1(x1821)+P1(f44(x1821))
% 0.21/0.79 [183]~P1(x1831)+P1(f45(x1831))
% 0.21/0.79 [184]~P1(x1841)+P1(f39(x1841))
% 0.21/0.79 [185]~P1(x1851)+P1(f40(x1851))
% 0.21/0.79 [186]~P1(x1861)+P1(f41(x1861))
% 0.21/0.79 [187]~P1(x1871)+P1(f42(x1871))
% 0.21/0.79 [188]~P1(x1881)+P1(f43(x1881))
% 0.21/0.79 [189]~P1(x1891)+P1(f37(x1891))
% 0.21/0.79 [190]~P1(x1901)+P1(f38(x1901))
% 0.21/0.79 [191]P1(x1911)+~P1(f46(x1911))
% 0.21/0.79 [192]P1(x1921)+~P1(f47(x1921))
% 0.21/0.79 [193]P1(x1931)+~P1(f48(x1931))
% 0.21/0.79 [194]P1(x1941)+~P1(f50(x1941))
% 0.21/0.79 [195]P1(x1951)+~P1(f44(x1951))
% 0.21/0.79 [196]P1(x1961)+~P1(f45(x1961))
% 0.21/0.79 [197]P1(x1971)+~P1(f39(x1971))
% 0.21/0.79 [198]P1(x1981)+~P1(f40(x1981))
% 0.21/0.79 [199]P1(x1991)+~P1(f41(x1991))
% 0.21/0.79 [200]P1(x2001)+~P1(f42(x2001))
% 0.21/0.79 [201]P1(x2011)+~P1(f43(x2011))
% 0.21/0.79 [202]P1(x2021)+~P1(f37(x2021))
% 0.21/0.79 [203]P1(x2031)+~P1(f38(x2031))
% 0.21/0.79 [218]P1(x2181)+~P1(f35(x2182,x2181))
% 0.21/0.79 [219]P1(x2191)+~P1(f36(x2192,x2191))
% 0.21/0.79 [220]P1(x2201)+~P1(f51(x2202,x2201))
% 0.21/0.79 [221]P1(x2211)+~P1(f52(x2212,x2211))
% 0.21/0.79 [222]P1(x2221)+~P1(f33(x2222,x2221))
% 0.21/0.79 [223]P1(x2231)+~P1(f34(x2232,x2231))
% 0.21/0.79 [224]P1(x2241)+~P1(f35(x2241,x2242))
% 0.21/0.79 [225]P1(x2251)+~P1(f36(x2251,x2252))
% 0.21/0.79 [226]P1(x2261)+~P1(f51(x2261,x2262))
% 0.21/0.79 [227]P1(x2271)+~P1(f52(x2271,x2272))
% 0.21/0.79 [228]P1(x2281)+~P1(f33(x2281,x2282))
% 0.21/0.79 [229]P1(x2291)+~P1(f34(x2291,x2292))
% 0.21/0.79 [233]~P1(f38(x2332))+P1(f43(f12(f35(f24(x2331),a6),f19(f17(x2332,f7(a29))))))
% 0.21/0.79 [204]~P1(x2042)+~P1(x2041)+P4(x2041,x2042)
% 0.21/0.79 [205]~P4(x2052,x2051)+P1(x2051)+~P1(x2052)
% 0.21/0.79 [206]~P1(x2062)+~P1(x2061)+P1(f12(x2061,x2062))
% 0.21/0.79 [207]~P1(x2072)+~P1(x2071)+P1(f13(x2071,x2072))
% 0.21/0.79 [208]~P1(x2082)+~P1(x2081)+P1(f15(x2081,x2082))
% 0.21/0.79 [209]~P1(x2092)+~P1(x2091)+P1(f16(x2091,x2092))
% 0.21/0.79 [210]~P1(x2102)+~P1(x2101)+P1(f18(x2101,x2102))
% 0.21/0.79 [211]~P1(x2112)+~P1(x2111)+P1(f17(x2111,x2112))
% 0.21/0.79 [212]~P1(x2122)+~P1(x2121)+P1(f35(x2121,x2122))
% 0.21/0.79 [213]~P1(x2132)+~P1(x2131)+P1(f36(x2131,x2132))
% 0.21/0.79 [214]~P1(x2142)+~P1(x2141)+P1(f51(x2141,x2142))
% 0.21/0.79 [215]~P1(x2152)+~P1(x2151)+P1(f52(x2151,x2152))
% 0.21/0.79 [216]~P1(x2162)+~P1(x2161)+P1(f33(x2161,x2162))
% 0.21/0.79 [217]~P1(x2172)+~P1(x2171)+P1(f34(x2171,x2172))
% 0.21/0.79 [234]~P1(f37(x2341))+~P1(f38(x2342))+P1(f42(f12(f10(f9(f13(x2341,a31))),f19(f17(x2342,f7(a29))))))
% 0.21/0.79 [232]~P3(f49(x2321,x2322))+~P1(f51(x2323,x2321))+P1(f50(f18(f36(x2321,x2322),a29)))
% 0.21/0.79 [235]~P1(f40(x2351))+~P1(f41(x2353))+P1(f45(f12(f35(f10(f13(x2351,a30)),f35(f25(x2352),a21)),f19(f17(x2353,f7(a29))))))
% 0.21/0.79 [231]E(x2311,a21)+E(x2311,a6)+~P1(f52(x2311,x2312))+P3(f49(x2311,x2312))
% 0.21/0.79 [230]~P1(f39(x2301))+~P1(f40(x2302))+~P1(f41(x2303))+P1(f44(a32))
% 0.21/0.79 %EqnAxiom
% 0.21/0.79 [1]E(x11,x11)
% 0.21/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.79 [4]~E(x41,x42)+E(f28(x41),f28(x42))
% 0.21/0.79 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.21/0.79 [6]~E(x61,x62)+E(f46(x61),f46(x62))
% 0.21/0.79 [7]~E(x71,x72)+E(f41(x71),f41(x72))
% 0.21/0.79 [8]~E(x81,x82)+E(f47(x81),f47(x82))
% 0.21/0.79 [9]~E(x91,x92)+E(f40(x91),f40(x92))
% 0.21/0.79 [10]~E(x101,x102)+E(f48(x101),f48(x102))
% 0.21/0.79 [11]~E(x111,x112)+E(f33(x111,x113),f33(x112,x113))
% 0.21/0.79 [12]~E(x121,x122)+E(f33(x123,x121),f33(x123,x122))
% 0.21/0.79 [13]~E(x131,x132)+E(f34(x131,x133),f34(x132,x133))
% 0.21/0.79 [14]~E(x141,x142)+E(f34(x143,x141),f34(x143,x142))
% 0.21/0.79 [15]~E(x151,x152)+E(f18(x151,x153),f18(x152,x153))
% 0.21/0.79 [16]~E(x161,x162)+E(f18(x163,x161),f18(x163,x162))
% 0.21/0.79 [17]~E(x171,x172)+E(f8(x171),f8(x172))
% 0.21/0.79 [18]~E(x181,x182)+E(f35(x181,x183),f35(x182,x183))
% 0.21/0.79 [19]~E(x191,x192)+E(f35(x193,x191),f35(x193,x192))
% 0.21/0.79 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 0.21/0.79 [21]~E(x211,x212)+E(f50(x211),f50(x212))
% 0.21/0.79 [22]~E(x221,x222)+E(f10(x221),f10(x222))
% 0.21/0.79 [23]~E(x231,x232)+E(f49(x231,x233),f49(x232,x233))
% 0.21/0.79 [24]~E(x241,x242)+E(f49(x243,x241),f49(x243,x242))
% 0.21/0.79 [25]~E(x251,x252)+E(f14(x251),f14(x252))
% 0.21/0.79 [26]~E(x261,x262)+E(f36(x261,x263),f36(x262,x263))
% 0.21/0.79 [27]~E(x271,x272)+E(f36(x273,x271),f36(x273,x272))
% 0.21/0.79 [28]~E(x281,x282)+E(f11(x281),f11(x282))
% 0.21/0.79 [29]~E(x291,x292)+E(f51(x291,x293),f51(x292,x293))
% 0.21/0.79 [30]~E(x301,x302)+E(f51(x303,x301),f51(x303,x302))
% 0.21/0.79 [31]~E(x311,x312)+E(f19(x311),f19(x312))
% 0.21/0.79 [32]~E(x321,x322)+E(f12(x321,x323),f12(x322,x323))
% 0.21/0.79 [33]~E(x331,x332)+E(f12(x333,x331),f12(x333,x332))
% 0.21/0.79 [34]~E(x341,x342)+E(f20(x341),f20(x342))
% 0.21/0.79 [35]~E(x351,x352)+E(f45(x351),f45(x352))
% 0.21/0.79 [36]~E(x361,x362)+E(f52(x361,x363),f52(x362,x363))
% 0.21/0.79 [37]~E(x371,x372)+E(f52(x373,x371),f52(x373,x372))
% 0.21/0.79 [38]~E(x381,x382)+E(f37(x381),f37(x382))
% 0.21/0.79 [39]~E(x391,x392)+E(f38(x391),f38(x392))
% 0.21/0.79 [40]~E(x401,x402)+E(f15(x401,x403),f15(x402,x403))
% 0.21/0.79 [41]~E(x411,x412)+E(f15(x413,x411),f15(x413,x412))
% 0.21/0.79 [42]~E(x421,x422)+E(f16(x421,x423),f16(x422,x423))
% 0.21/0.79 [43]~E(x431,x432)+E(f16(x433,x431),f16(x433,x432))
% 0.21/0.79 [44]~E(x441,x442)+E(f42(x441),f42(x442))
% 0.21/0.79 [45]~E(x451,x452)+E(f43(x451),f43(x452))
% 0.21/0.79 [46]~E(x461,x462)+E(f17(x461,x463),f17(x462,x463))
% 0.21/0.79 [47]~E(x471,x472)+E(f17(x473,x471),f17(x473,x472))
% 0.21/0.79 [48]~E(x481,x482)+E(f24(x481),f24(x482))
% 0.21/0.79 [49]~E(x491,x492)+E(f25(x491),f25(x492))
% 0.21/0.79 [50]~E(x501,x502)+E(f13(x501,x503),f13(x502,x503))
% 0.21/0.79 [51]~E(x511,x512)+E(f13(x513,x511),f13(x513,x512))
% 0.21/0.79 [52]~E(x521,x522)+E(f44(x521),f44(x522))
% 0.21/0.79 [53]~E(x531,x532)+E(f39(x531),f39(x532))
% 0.21/0.79 [54]~P1(x541)+P1(x542)+~E(x541,x542)
% 0.21/0.79 [55]~P3(x551)+P3(x552)+~E(x551,x552)
% 0.21/0.79 [56]P2(x562,x563)+~E(x561,x562)+~P2(x561,x563)
% 0.21/0.79 [57]P2(x573,x572)+~E(x571,x572)+~P2(x573,x571)
% 0.21/0.79 [58]P4(x582,x583)+~E(x581,x582)+~P4(x581,x583)
% 0.21/0.79 [59]P4(x593,x592)+~E(x591,x592)+~P4(x593,x591)
% 0.21/0.79
% 0.21/0.79 %-------------------------------------------
% 0.21/0.79 cnf(246,plain,
% 0.21/0.79 (~P1(f8(f18(a32,x2461)))),
% 0.21/0.79 inference(scs_inference,[],[169,72,73,74,75,85,87,78,2,193,192,191,57,56,55,54])).
% 0.21/0.79 cnf(247,plain,
% 0.21/0.79 (E(f8(f18(x2471,x2472)),x2471)),
% 0.21/0.79 inference(rename_variables,[],[78])).
% 0.21/0.79 cnf(249,plain,
% 0.21/0.79 (E(f8(f18(x2491,x2492)),x2491)),
% 0.21/0.79 inference(rename_variables,[],[78])).
% 0.21/0.79 cnf(292,plain,
% 0.21/0.79 (~P1(f44(a32))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,78,247,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195])).
% 0.21/0.79 cnf(304,plain,
% 0.21/0.79 (P1(f41(a1))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,78,247,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186])).
% 0.21/0.79 cnf(306,plain,
% 0.21/0.79 (P1(f40(a1))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,78,247,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186,185])).
% 0.21/0.79 cnf(308,plain,
% 0.21/0.79 (P1(f39(a1))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,78,247,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186,185,184])).
% 0.21/0.79 cnf(339,plain,
% 0.21/0.79 (E(f16(f15(x3391,x3392),x3392),x3391)),
% 0.21/0.79 inference(rename_variables,[],[87])).
% 0.21/0.79 cnf(389,plain,
% 0.21/0.79 (P1(f43(f12(f35(f24(x3891),a6),f19(f17(a1,f7(a29))))))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,339,78,247,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,233])).
% 0.21/0.79 cnf(401,plain,
% 0.21/0.79 (P1(f51(a1,a1))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,339,78,247,249,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,233,59,58,204,217,216,215,214])).
% 0.21/0.79 cnf(419,plain,
% 0.21/0.79 (P1(f45(f12(f35(f10(f13(a1,a30)),f35(f25(x4191),a21)),f19(f17(a1,f7(a29))))))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,339,78,247,249,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,233,59,58,204,217,216,215,214,213,212,211,210,209,208,207,206,235])).
% 0.21/0.79 cnf(421,plain,
% 0.21/0.79 (P1(f42(f12(f10(f9(f13(a1,a31))),f19(f17(a1,f7(a29))))))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,73,74,75,85,87,339,78,247,249,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,233,59,58,204,217,216,215,214,213,212,211,210,209,208,207,206,235,234])).
% 0.21/0.79 cnf(425,plain,
% 0.21/0.79 (P3(f49(a1,a1))),
% 0.21/0.79 inference(scs_inference,[],[169,72,60,91,101,106,73,74,75,85,87,339,78,247,249,2,193,192,191,57,56,55,54,3,205,229,228,227,226,225,224,223,222,221,220,219,218,203,202,201,200,199,198,197,196,195,194,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,233,59,58,204,217,216,215,214,213,212,211,210,209,208,207,206,235,234,232,230,231])).
% 0.21/0.79 cnf(450,plain,
% 0.21/0.79 ($false),
% 0.21/0.79 inference(scs_inference,[],[169,61,419,421,389,246,292,304,306,308,401,425,201,200,196,192,191,171,205,211,208,207,232,230]),
% 0.21/0.79 ['proof']).
% 0.21/0.79 % SZS output end Proof
% 0.21/0.79 % Total time :0.120000s
%------------------------------------------------------------------------------