%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW970+1 : TPTP v8.2.0. Released v7.4.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:10:39 EDT 2024 % Result : Theorem 10.83s 10.92s % Output : CNFRefutation 10.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWW970+1 : TPTP v8.2.0. Released v7.4.0. % 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n010.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Jun 19 07:06:24 EDT 2024 % 0.12/0.34 % CPUTime : % 0.52/0.60 start to proof:theBenchmark % 10.83/10.89 %------------------------------------------- % 10.83/10.89 % File :CSE---1.7 % 10.83/10.89 % Problem :theBenchmark % 10.83/10.89 % Transform :cnf % 10.83/10.89 % Format :tptp:raw % 10.83/10.89 % Command :java -jar mcs_scs.jar %d %s % 10.83/10.89 % 10.83/10.89 % Result :Theorem 10.220000s % 10.83/10.89 % Output :CNFRefutation 10.220000s % 10.83/10.89 %------------------------------------------- % 10.83/10.90 %-------------------------------------------------------------------------- % 10.83/10.90 % File : SWW970+1 : TPTP v8.2.0. Released v7.4.0. % 10.83/10.90 % Domain : Software Verification % 10.83/10.90 % Problem : Attack on Denning-Sacco Symmetric Key with CBC % 10.83/10.90 % Version : [LT19] axioms : Especial. % 10.83/10.90 % English : Attack demonstrates an impersonation attack. % 10.83/10.90 % 10.83/10.90 % Refs : [BO97] Bull & Otway (1997), The Authentication Protocol % 10.83/10.90 % : [RS98] Ryan & Schneider (1998), An Attack on a Recursive Auth % 10.83/10.90 % : [LT19] Li & Tiu (2019), Combining ProVerif and Automated Theo % 10.83/10.90 % : [Li20] Li (2020), Email to Geoff Sutcliffe % 10.83/10.90 % Source : [Li20] % 10.83/10.90 % Names : Denning-Sacco-CBC-alive.p [LT20] % 10.83/10.90 % 10.83/10.90 % Status : Theorem % 10.83/10.90 % Rating : 0.17 v7.5.0, 0.19 v7.4.0 % 10.83/10.90 % Syntax : Number of formulae : 139 ( 94 unt; 0 def) % 10.83/10.90 % Number of atoms : 208 ( 79 equ) % 10.83/10.90 % Maximal formula atoms : 6 ( 1 avg) % 10.83/10.90 % Number of connectives : 135 ( 66 ~; 0 |; 24 &) % 10.83/10.90 % ( 0 <=>; 45 =>; 0 <=; 0 <~>) % 10.83/10.90 % Maximal formula depth : 11 ( 3 avg) % 10.83/10.90 % Maximal term depth : 5 ( 1 avg) % 10.83/10.90 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty) % 10.83/10.90 % Number of functors : 42 ( 42 usr; 14 con; 0-5 aty) % 10.83/10.90 % Number of variables : 143 ( 143 !; 0 ?) % 10.83/10.90 % SPC : FOF_THM_RFO_SEQ % 10.83/10.90 % 10.83/10.90 % Comments : Generated by a modified version of ProVerif used in the % 10.83/10.90 % ProVerif-ATP project [LT19]. % 10.83/10.90 %-------------------------------------------------------------------------- % 10.83/10.90 fof(ax0,axiom, % 10.83/10.90 constr_CONST_0x30 != constr_CONST_1 ). % 10.83/10.90 % 10.83/10.90 fof(ax1,axiom, % 10.83/10.90 constr_CONST_0x30 != constr_CONST_2 ). % 10.83/10.90 % 10.83/10.90 fof(ax2,axiom, % 10.83/10.90 constr_CONST_0x30 != constr_CONST_3 ). % 10.83/10.90 % 10.83/10.90 fof(ax3,axiom, % 10.83/10.90 constr_CONST_0x30 != constr_CONST_4 ). % 10.83/10.90 % 10.83/10.90 fof(ax4,axiom, % 10.83/10.90 constr_CONST_0x30 != name_A ). % 10.83/10.90 % 10.83/10.90 fof(ax5,axiom, % 10.83/10.90 constr_CONST_0x30 != name_B ). % 10.83/10.90 % 10.83/10.90 fof(ax6,axiom, % 10.83/10.90 constr_CONST_0x30 != name_I ). % 10.83/10.90 % 10.83/10.90 fof(ax7,axiom, % 10.83/10.90 constr_CONST_0x30 != name_Kas ). % 10.83/10.90 % 10.83/10.90 fof(ax8,axiom, % 10.83/10.90 constr_CONST_0x30 != name_Kbs ). % 10.83/10.90 % 10.83/10.90 fof(ax9,axiom, % 10.83/10.90 constr_CONST_0x30 != name_c ). % 10.83/10.90 % 10.83/10.90 fof(ax10,axiom, % 10.83/10.90 constr_CONST_0x30 != name_objective ). % 10.83/10.90 % 10.83/10.90 fof(ax11,axiom, % 10.83/10.90 constr_CONST_1 != constr_CONST_2 ). % 10.83/10.90 % 10.83/10.90 fof(ax12,axiom, % 10.83/10.90 constr_CONST_1 != constr_CONST_3 ). % 10.83/10.90 % 10.83/10.90 fof(ax13,axiom, % 10.83/10.90 constr_CONST_1 != constr_CONST_4 ). % 10.83/10.90 % 10.83/10.90 fof(ax14,axiom, % 10.83/10.90 constr_CONST_1 != name_A ). % 10.83/10.90 % 10.83/10.90 fof(ax15,axiom, % 10.83/10.90 constr_CONST_1 != name_B ). % 10.83/10.90 % 10.83/10.90 fof(ax16,axiom, % 10.83/10.90 constr_CONST_1 != name_I ). % 10.83/10.90 % 10.83/10.90 fof(ax17,axiom, % 10.83/10.90 constr_CONST_1 != name_Kas ). % 10.83/10.90 % 10.83/10.90 fof(ax18,axiom, % 10.83/10.90 constr_CONST_1 != name_Kbs ). % 10.83/10.90 % 10.83/10.90 fof(ax19,axiom, % 10.83/10.90 constr_CONST_1 != name_c ). % 10.83/10.90 % 10.83/10.90 fof(ax20,axiom, % 10.83/10.90 constr_CONST_1 != name_objective ). % 10.83/10.90 % 10.83/10.90 fof(ax21,axiom, % 10.83/10.90 constr_CONST_2 != constr_CONST_3 ). % 10.83/10.90 % 10.83/10.90 fof(ax22,axiom, % 10.83/10.90 constr_CONST_2 != constr_CONST_4 ). % 10.83/10.90 % 10.83/10.90 fof(ax23,axiom, % 10.83/10.90 constr_CONST_2 != name_A ). % 10.83/10.90 % 10.83/10.90 fof(ax24,axiom, % 10.83/10.90 constr_CONST_2 != name_B ). % 10.83/10.90 % 10.83/10.90 fof(ax25,axiom, % 10.83/10.90 constr_CONST_2 != name_I ). % 10.83/10.90 % 10.83/10.90 fof(ax26,axiom, % 10.83/10.90 constr_CONST_2 != name_Kas ). % 10.83/10.90 % 10.83/10.90 fof(ax27,axiom, % 10.83/10.90 constr_CONST_2 != name_Kbs ). % 10.83/10.90 % 10.83/10.90 fof(ax28,axiom, % 10.83/10.90 constr_CONST_2 != name_c ). % 10.83/10.90 % 10.83/10.90 fof(ax29,axiom, % 10.83/10.90 constr_CONST_2 != name_objective ). % 10.83/10.90 % 10.83/10.90 fof(ax30,axiom, % 10.83/10.90 constr_CONST_3 != constr_CONST_4 ). % 10.83/10.90 % 10.83/10.90 fof(ax31,axiom, % 10.83/10.90 constr_CONST_3 != name_A ). % 10.83/10.90 % 10.83/10.90 fof(ax32,axiom, % 10.83/10.90 constr_CONST_3 != name_B ). % 10.83/10.90 % 10.83/10.90 fof(ax33,axiom, % 10.83/10.90 constr_CONST_3 != name_I ). % 10.83/10.90 % 10.83/10.90 fof(ax34,axiom, % 10.83/10.90 constr_CONST_3 != name_Kas ). % 10.83/10.90 % 10.83/10.90 fof(ax35,axiom, % 10.83/10.90 constr_CONST_3 != name_Kbs ). % 10.83/10.90 % 10.83/10.90 fof(ax36,axiom, % 10.83/10.90 constr_CONST_3 != name_c ). % 10.83/10.90 % 10.83/10.90 fof(ax37,axiom, % 10.83/10.90 constr_CONST_3 != name_objective ). % 10.83/10.90 % 10.83/10.90 fof(ax38,axiom, % 10.83/10.90 constr_CONST_4 != name_A ). % 10.83/10.90 % 10.83/10.90 fof(ax39,axiom, % 10.83/10.90 constr_CONST_4 != name_B ). % 10.83/10.90 % 10.83/10.90 fof(ax40,axiom, % 10.83/10.90 constr_CONST_4 != name_I ). % 10.83/10.90 % 10.83/10.90 fof(ax41,axiom, % 10.83/10.90 constr_CONST_4 != name_Kas ). % 10.83/10.90 % 10.83/10.91 fof(ax42,axiom, % 10.83/10.91 constr_CONST_4 != name_Kbs ). % 10.83/10.91 % 10.83/10.91 fof(ax43,axiom, % 10.83/10.91 constr_CONST_4 != name_c ). % 10.83/10.91 % 10.83/10.91 fof(ax44,axiom, % 10.83/10.91 constr_CONST_4 != name_objective ). % 10.83/10.91 % 10.83/10.91 fof(ax45,axiom, % 10.83/10.91 name_A != name_B ). % 10.83/10.91 % 10.83/10.91 fof(ax46,axiom, % 10.83/10.91 name_A != name_I ). % 10.83/10.91 % 10.83/10.91 fof(ax47,axiom, % 10.83/10.91 name_A != name_Kas ). % 10.83/10.91 % 10.83/10.91 fof(ax48,axiom, % 10.83/10.91 name_A != name_Kbs ). % 10.83/10.91 % 10.83/10.91 fof(ax49,axiom, % 10.83/10.91 name_A != name_c ). % 10.83/10.91 % 10.83/10.91 fof(ax50,axiom, % 10.83/10.91 name_A != name_objective ). % 10.83/10.91 % 10.83/10.91 fof(ax51,axiom, % 10.83/10.91 name_B != name_I ). % 10.83/10.91 % 10.83/10.91 fof(ax52,axiom, % 10.83/10.91 name_B != name_Kas ). % 10.83/10.91 % 10.83/10.91 fof(ax53,axiom, % 10.83/10.91 name_B != name_Kbs ). % 10.83/10.91 % 10.83/10.91 fof(ax54,axiom, % 10.83/10.91 name_B != name_c ). % 10.83/10.91 % 10.83/10.91 fof(ax55,axiom, % 10.83/10.91 name_B != name_objective ). % 10.83/10.91 % 10.83/10.91 fof(ax56,axiom, % 10.83/10.91 name_I != name_Kas ). % 10.83/10.91 % 10.83/10.91 fof(ax57,axiom, % 10.83/10.91 name_I != name_Kbs ). % 10.83/10.91 % 10.83/10.91 fof(ax58,axiom, % 10.83/10.91 name_I != name_c ). % 10.83/10.91 % 10.83/10.91 fof(ax59,axiom, % 10.83/10.91 name_I != name_objective ). % 10.83/10.91 % 10.83/10.91 fof(ax60,axiom, % 10.83/10.91 name_Kas != name_Kbs ). % 10.83/10.91 % 10.83/10.91 fof(ax61,axiom, % 10.83/10.91 name_Kas != name_c ). % 10.83/10.91 % 10.83/10.91 fof(ax62,axiom, % 10.83/10.91 name_Kas != name_objective ). % 10.83/10.91 % 10.83/10.91 fof(ax63,axiom, % 10.83/10.91 name_Kbs != name_c ). % 10.83/10.91 % 10.83/10.91 fof(ax64,axiom, % 10.83/10.91 name_Kbs != name_objective ). % 10.83/10.91 % 10.83/10.91 fof(ax65,axiom, % 10.83/10.91 name_c != name_objective ). % 10.83/10.91 % 10.83/10.91 fof(ax66,axiom, % 10.83/10.91 ! [VAR_K_50X30,VAR_X0X30_46,VAR_X1_47,VAR_X2_48,VAR_X3_49] : constr_cbc_dec_4(constr_cbc_enc_4(VAR_X0X30_46,VAR_X1_47,VAR_X2_48,VAR_X3_49,VAR_K_50X30),VAR_K_50X30) = tuple_4(VAR_X0X30_46,VAR_X1_47,VAR_X2_48,VAR_X3_49) ). % 10.83/10.91 % 10.83/10.91 fof(ax67,axiom, % 10.83/10.91 ! [VAR_K_45,VAR_X0X30_42,VAR_X1_43,VAR_X2_44] : constr_cbc_dec_3(constr_cbc_enc_3(VAR_X0X30_42,VAR_X1_43,VAR_X2_44,VAR_K_45),VAR_K_45) = tuple_3(VAR_X0X30_42,VAR_X1_43,VAR_X2_44) ). % 10.83/10.91 % 10.83/10.91 fof(ax68,axiom, % 10.83/10.91 ! [VAR_K_41,VAR_X0X30_39,VAR_X1_40X30] : constr_cbc_dec_2(constr_cbc_enc_2(VAR_X0X30_39,VAR_X1_40X30,VAR_K_41),VAR_K_41) = tuple_2(VAR_X0X30_39,VAR_X1_40X30) ). % 10.83/10.91 % 10.83/10.91 fof(ax69,axiom, % 10.83/10.91 ! [VAR_K_38,VAR_X0X30_37] : constr_cbc_dec_1(constr_cbc_enc_1(VAR_X0X30_37,VAR_K_38),VAR_K_38) = VAR_X0X30_37 ). % 10.83/10.91 % 10.83/10.91 fof(ax70,axiom, % 10.83/10.91 ! [VAR_K_36,VAR_X0X30_32,VAR_X1_33,VAR_X2_34,VAR_X3_35] : constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(VAR_X0X30_32,VAR_X1_33,VAR_X2_34,VAR_X3_35,VAR_K_36)) = constr_cbc_enc_3(VAR_X0X30_32,VAR_X1_33,VAR_X2_34,VAR_K_36) ). % 10.83/10.91 % 10.83/10.91 fof(ax71,axiom, % 10.83/10.91 ! [VAR_K_31,VAR_X0X30_27,VAR_X1_28,VAR_X2_29,VAR_X3_30X30] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(VAR_X0X30_27,VAR_X1_28,VAR_X2_29,VAR_X3_30X30,VAR_K_31)) = constr_cbc_enc_2(VAR_X0X30_27,VAR_X1_28,VAR_K_31) ). % 10.83/10.91 % 10.83/10.91 fof(ax72,axiom, % 10.83/10.91 ! [VAR_K_26,VAR_X0X30_23,VAR_X1_24,VAR_X2_25,VAR_X3_0X30] : constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(VAR_X0X30_23,VAR_X1_24,VAR_X2_25,VAR_X3_0X30,VAR_K_26)) = constr_cbc_enc_1(VAR_X0X30_23,VAR_K_26) ). % 10.83/10.91 % 10.83/10.91 fof(ax73,axiom, % 10.83/10.91 ! [VAR_K_22,VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21] : constr_cbc_3_get_2_prefixes(constr_cbc_enc_3(VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21,VAR_K_22)) = constr_cbc_enc_2(VAR_X0X30_19,VAR_X1_20X30,VAR_K_22) ). % 10.83/10.91 % 10.83/10.91 fof(ax74,axiom, % 10.83/10.91 ! [VAR_K_18,VAR_X0X30_15,VAR_X1_16,VAR_X2_17] : constr_cbc_3_get_1_prefixes(constr_cbc_enc_3(VAR_X0X30_15,VAR_X1_16,VAR_X2_17,VAR_K_18)) = constr_cbc_enc_1(VAR_X0X30_15,VAR_K_18) ). % 10.83/10.91 % 10.83/10.91 fof(ax75,axiom, % 10.83/10.91 ! [VAR_K_0X30,VAR_X0X30_13,VAR_X1_14] : constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(VAR_X0X30_13,VAR_X1_14,VAR_K_0X30)) = constr_cbc_enc_1(VAR_X0X30_13,VAR_K_0X30) ). % 10.83/10.91 % 10.83/10.91 fof(ax76,axiom, % 10.83/10.91 ! [VAR_X0X30_10X30,VAR_X1_11,VAR_X2_12] : constr_tuple_3_get_2_bitstring(tuple_3(VAR_X0X30_10X30,VAR_X1_11,VAR_X2_12)) = VAR_X2_12 ). % 10.83/10.91 % 10.83/10.91 fof(ax77,axiom, % 10.83/10.91 ! [VAR_X0X30_7,VAR_X1_8,VAR_X2_9] : constr_tuple_3_get_1_bitstring(tuple_3(VAR_X0X30_7,VAR_X1_8,VAR_X2_9)) = VAR_X1_8 ). % 10.83/10.91 % 10.83/10.91 fof(ax78,axiom, % 10.83/10.91 ! [VAR_X0X30_0X30,VAR_X1_0X30,VAR_X2_0X30] : constr_tuple_3_get_0x30(tuple_3(VAR_X0X30_0X30,VAR_X1_0X30,VAR_X2_0X30)) = VAR_X0X30_0X30 ). % 10.83/10.91 % 10.83/10.91 fof(ax79,axiom, % 10.83/10.91 ! [VAR_X_67,VAR_Y_68] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68) ). % 10.83/10.91 % 10.83/10.91 fof(ax80,axiom, % 10.83/10.91 ! [VAR_V_74] : % 10.83/10.91 ( pred_attacker(VAR_V_74) % 10.83/10.91 => pred_attacker(constr_tuple_3_get_2_bitstring(VAR_V_74)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax81,axiom, % 10.83/10.91 ! [VAR_V_76] : % 10.83/10.91 ( pred_attacker(VAR_V_76) % 10.83/10.91 => pred_attacker(constr_tuple_3_get_1_bitstring(VAR_V_76)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax82,axiom, % 10.83/10.91 ! [VAR_V_78] : % 10.83/10.91 ( pred_attacker(VAR_V_78) % 10.83/10.91 => pred_attacker(constr_tuple_3_get_0x30(VAR_V_78)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax83,axiom, % 10.83/10.91 pred_attacker(tuple_true) ). % 10.83/10.91 % 10.83/10.91 fof(ax84,axiom, % 10.83/10.91 ! [VAR_V_80X30] : % 10.83/10.91 ( pred_attacker(VAR_V_80X30) % 10.83/10.91 => pred_attacker(tuple_server_S_out_3(VAR_V_80X30)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax85,axiom, % 10.83/10.91 ! [VAR_V_83] : % 10.83/10.91 ( pred_attacker(tuple_server_S_out_3(VAR_V_83)) % 10.83/10.91 => pred_attacker(VAR_V_83) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax86,axiom, % 10.83/10.91 ! [VAR_V_86] : % 10.83/10.91 ( pred_attacker(VAR_V_86) % 10.83/10.91 => pred_attacker(tuple_server_S_out_2(VAR_V_86)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax87,axiom, % 10.83/10.91 ! [VAR_V_89] : % 10.83/10.91 ( pred_attacker(tuple_server_S_out_2(VAR_V_89)) % 10.83/10.91 => pred_attacker(VAR_V_89) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax88,axiom, % 10.83/10.91 ! [VAR_V_93,VAR_V_94] : % 10.83/10.91 ( ( pred_attacker(VAR_V_93) % 10.83/10.91 & pred_attacker(VAR_V_94) ) % 10.83/10.91 => pred_attacker(tuple_server_S_in_1(VAR_V_93,VAR_V_94)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax89,axiom, % 10.83/10.91 ! [VAR_V_10X301,VAR_V_10X302] : % 10.83/10.91 ( pred_attacker(tuple_server_S_in_1(VAR_V_10X301,VAR_V_10X302)) % 10.83/10.91 => pred_attacker(VAR_V_10X301) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax90,axiom, % 10.83/10.91 ! [VAR_V_10X304,VAR_V_10X305] : % 10.83/10.91 ( pred_attacker(tuple_server_S_in_1(VAR_V_10X304,VAR_V_10X305)) % 10.83/10.91 => pred_attacker(VAR_V_10X305) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax91,axiom, % 10.83/10.91 pred_attacker(tuple_false) ). % 10.83/10.91 % 10.83/10.91 fof(ax92,axiom, % 10.83/10.91 ! [VAR_V_10X309] : % 10.83/10.91 ( pred_attacker(VAR_V_10X309) % 10.83/10.91 => pred_attacker(tuple_client_B_out_2(VAR_V_10X309)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax93,axiom, % 10.83/10.91 ! [VAR_V_112] : % 10.83/10.91 ( pred_attacker(tuple_client_B_out_2(VAR_V_112)) % 10.83/10.91 => pred_attacker(VAR_V_112) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax94,axiom, % 10.83/10.91 ! [VAR_V_115] : % 10.83/10.91 ( pred_attacker(VAR_V_115) % 10.83/10.91 => pred_attacker(tuple_client_B_in_1(VAR_V_115)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax95,axiom, % 10.83/10.91 ! [VAR_V_118] : % 10.83/10.91 ( pred_attacker(tuple_client_B_in_1(VAR_V_118)) % 10.83/10.91 => pred_attacker(VAR_V_118) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax96,axiom, % 10.83/10.91 ! [VAR_V_125,VAR_V_126,VAR_V_127,VAR_V_128,VAR_V_129] : % 10.83/10.91 ( ( pred_attacker(VAR_V_125) % 10.83/10.91 & pred_attacker(VAR_V_126) % 10.83/10.91 & pred_attacker(VAR_V_127) % 10.83/10.91 & pred_attacker(VAR_V_128) % 10.83/10.91 & pred_attacker(VAR_V_129) ) % 10.83/10.91 => pred_attacker(constr_cbc_enc_4(VAR_V_125,VAR_V_126,VAR_V_127,VAR_V_128,VAR_V_129)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax97,axiom, % 10.83/10.91 ! [VAR_V_134,VAR_V_135,VAR_V_136,VAR_V_137] : % 10.83/10.91 ( ( pred_attacker(VAR_V_134) % 10.83/10.91 & pred_attacker(VAR_V_135) % 10.83/10.91 & pred_attacker(VAR_V_136) % 10.83/10.91 & pred_attacker(VAR_V_137) ) % 10.83/10.91 => pred_attacker(constr_cbc_enc_3(VAR_V_134,VAR_V_135,VAR_V_136,VAR_V_137)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax98,axiom, % 10.83/10.91 ! [VAR_V_141,VAR_V_142,VAR_V_143] : % 10.83/10.91 ( ( pred_attacker(VAR_V_141) % 10.83/10.91 & pred_attacker(VAR_V_142) % 10.83/10.91 & pred_attacker(VAR_V_143) ) % 10.83/10.91 => pred_attacker(constr_cbc_enc_2(VAR_V_141,VAR_V_142,VAR_V_143)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax99,axiom, % 10.83/10.91 ! [VAR_V_146,VAR_V_147] : % 10.83/10.91 ( ( pred_attacker(VAR_V_146) % 10.83/10.91 & pred_attacker(VAR_V_147) ) % 10.83/10.91 => pred_attacker(constr_cbc_enc_1(VAR_V_146,VAR_V_147)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax100,axiom, % 10.83/10.91 ! [VAR_V_150X30,VAR_V_151] : % 10.83/10.91 ( ( pred_attacker(VAR_V_150X30) % 10.83/10.91 & pred_attacker(VAR_V_151) ) % 10.83/10.91 => pred_attacker(constr_cbc_dec_4(VAR_V_150X30,VAR_V_151)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax101,axiom, % 10.83/10.91 ! [VAR_V_154,VAR_V_155] : % 10.83/10.91 ( ( pred_attacker(VAR_V_154) % 10.83/10.91 & pred_attacker(VAR_V_155) ) % 10.83/10.91 => pred_attacker(constr_cbc_dec_3(VAR_V_154,VAR_V_155)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax102,axiom, % 10.83/10.91 ! [VAR_V_158,VAR_V_159] : % 10.83/10.91 ( ( pred_attacker(VAR_V_158) % 10.83/10.91 & pred_attacker(VAR_V_159) ) % 10.83/10.91 => pred_attacker(constr_cbc_dec_2(VAR_V_158,VAR_V_159)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax103,axiom, % 10.83/10.91 ! [VAR_V_162,VAR_V_163] : % 10.83/10.91 ( ( pred_attacker(VAR_V_162) % 10.83/10.91 & pred_attacker(VAR_V_163) ) % 10.83/10.91 => pred_attacker(constr_cbc_dec_1(VAR_V_162,VAR_V_163)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax104,axiom, % 10.83/10.91 ! [VAR_V_165] : % 10.83/10.91 ( pred_attacker(VAR_V_165) % 10.83/10.91 => pred_attacker(constr_cbc_4_get_3_prefixes(VAR_V_165)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax105,axiom, % 10.83/10.91 ! [VAR_V_167] : % 10.83/10.91 ( pred_attacker(VAR_V_167) % 10.83/10.91 => pred_attacker(constr_cbc_4_get_2_prefixes(VAR_V_167)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax106,axiom, % 10.83/10.91 ! [VAR_V_169] : % 10.83/10.91 ( pred_attacker(VAR_V_169) % 10.83/10.91 => pred_attacker(constr_cbc_4_get_1_prefixes(VAR_V_169)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax107,axiom, % 10.83/10.91 ! [VAR_V_171] : % 10.83/10.91 ( pred_attacker(VAR_V_171) % 10.83/10.91 => pred_attacker(constr_cbc_3_get_2_prefixes(VAR_V_171)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax108,axiom, % 10.83/10.91 ! [VAR_V_173] : % 10.83/10.91 ( pred_attacker(VAR_V_173) % 10.83/10.91 => pred_attacker(constr_cbc_3_get_1_prefixes(VAR_V_173)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax109,axiom, % 10.83/10.91 ! [VAR_V_175] : % 10.83/10.91 ( pred_attacker(VAR_V_175) % 10.83/10.91 => pred_attacker(constr_cbc_2_get_1_prefixes(VAR_V_175)) ) ). % 10.83/10.91 % 10.83/10.91 fof(ax110,axiom, % 10.83/10.91 pred_attacker(constr_CONST_4) ). % 10.83/10.91 % 10.83/10.91 fof(ax111,axiom, % 10.83/10.91 pred_attacker(constr_CONST_3) ). % 10.83/10.91 % 10.83/10.91 fof(ax112,axiom, % 10.83/10.91 pred_attacker(constr_CONST_2) ). % 10.83/10.91 % 10.83/10.91 fof(ax113,axiom, % 10.83/10.91 pred_attacker(constr_CONST_1) ). % 10.83/10.92 % 10.83/10.92 fof(ax114,axiom, % 10.83/10.92 pred_attacker(constr_CONST_0x30) ). % 10.83/10.92 % 10.83/10.92 fof(ax115,axiom, % 10.83/10.92 ! [VAR_V_184,VAR_V_185,VAR_V_186,VAR_V_187] : % 10.83/10.92 ( ( pred_attacker(VAR_V_184) % 10.83/10.92 & pred_attacker(VAR_V_185) % 10.83/10.92 & pred_attacker(VAR_V_186) % 10.83/10.92 & pred_attacker(VAR_V_187) ) % 10.83/10.92 => pred_attacker(tuple_4(VAR_V_184,VAR_V_185,VAR_V_186,VAR_V_187)) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax116,axiom, % 10.83/10.92 ! [VAR_V_20X308,VAR_V_20X309,VAR_V_210X30,VAR_V_211] : % 10.83/10.92 ( pred_attacker(tuple_4(VAR_V_20X308,VAR_V_20X309,VAR_V_210X30,VAR_V_211)) % 10.83/10.92 => pred_attacker(VAR_V_20X308) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax117,axiom, % 10.83/10.92 ! [VAR_V_213,VAR_V_214,VAR_V_215,VAR_V_216] : % 10.83/10.92 ( pred_attacker(tuple_4(VAR_V_213,VAR_V_214,VAR_V_215,VAR_V_216)) % 10.83/10.92 => pred_attacker(VAR_V_214) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax118,axiom, % 10.83/10.92 ! [VAR_V_218,VAR_V_219,VAR_V_220X30,VAR_V_221] : % 10.83/10.92 ( pred_attacker(tuple_4(VAR_V_218,VAR_V_219,VAR_V_220X30,VAR_V_221)) % 10.83/10.92 => pred_attacker(VAR_V_220X30) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax119,axiom, % 10.83/10.92 ! [VAR_V_223,VAR_V_224,VAR_V_225,VAR_V_226] : % 10.83/10.92 ( pred_attacker(tuple_4(VAR_V_223,VAR_V_224,VAR_V_225,VAR_V_226)) % 10.83/10.92 => pred_attacker(VAR_V_226) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax120,axiom, % 10.83/10.92 ! [VAR_V_231,VAR_V_232,VAR_V_233] : % 10.83/10.92 ( ( pred_attacker(VAR_V_231) % 10.83/10.92 & pred_attacker(VAR_V_232) % 10.83/10.92 & pred_attacker(VAR_V_233) ) % 10.83/10.92 => pred_attacker(tuple_3(VAR_V_231,VAR_V_232,VAR_V_233)) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax121,axiom, % 10.83/10.92 ! [VAR_V_246,VAR_V_247,VAR_V_248] : % 10.83/10.92 ( pred_attacker(tuple_3(VAR_V_246,VAR_V_247,VAR_V_248)) % 10.83/10.92 => pred_attacker(VAR_V_246) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax122,axiom, % 10.83/10.92 ! [VAR_V_250X30,VAR_V_251,VAR_V_252] : % 10.83/10.92 ( pred_attacker(tuple_3(VAR_V_250X30,VAR_V_251,VAR_V_252)) % 10.83/10.92 => pred_attacker(VAR_V_251) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax123,axiom, % 10.83/10.92 ! [VAR_V_254,VAR_V_255,VAR_V_256] : % 10.83/10.92 ( pred_attacker(tuple_3(VAR_V_254,VAR_V_255,VAR_V_256)) % 10.83/10.92 => pred_attacker(VAR_V_256) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax124,axiom, % 10.83/10.92 ! [VAR_V_260X30,VAR_V_261] : % 10.83/10.92 ( ( pred_attacker(VAR_V_260X30) % 10.83/10.92 & pred_attacker(VAR_V_261) ) % 10.83/10.92 => pred_attacker(tuple_2(VAR_V_260X30,VAR_V_261)) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax125,axiom, % 10.83/10.92 ! [VAR_V_268,VAR_V_269] : % 10.83/10.92 ( pred_attacker(tuple_2(VAR_V_268,VAR_V_269)) % 10.83/10.92 => pred_attacker(VAR_V_268) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax126,axiom, % 10.83/10.92 ! [VAR_V_271,VAR_V_272] : % 10.83/10.92 ( pred_attacker(tuple_2(VAR_V_271,VAR_V_272)) % 10.83/10.92 => pred_attacker(VAR_V_272) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax127,axiom, % 10.83/10.92 ! [VAR_V_274,VAR_V_275] : % 10.83/10.92 ( ( pred_mess(VAR_V_275,VAR_V_274) % 10.83/10.92 & pred_attacker(VAR_V_275) ) % 10.83/10.92 => pred_attacker(VAR_V_274) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax128,axiom, % 10.83/10.92 ! [VAR_V_276,VAR_V_277] : % 10.83/10.92 ( ( pred_attacker(VAR_V_277) % 10.83/10.92 & pred_attacker(VAR_V_276) ) % 10.83/10.92 => pred_mess(VAR_V_277,VAR_V_276) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax129,axiom, % 10.83/10.92 pred_attacker(name_c) ). % 10.83/10.92 % 10.83/10.92 fof(ax130,axiom, % 10.83/10.92 pred_attacker(name_I) ). % 10.83/10.92 % 10.83/10.92 fof(ax131,axiom, % 10.83/10.92 pred_attacker(name_B) ). % 10.83/10.92 % 10.83/10.92 fof(ax132,axiom, % 10.83/10.92 pred_attacker(name_A) ). % 10.83/10.92 % 10.83/10.92 fof(ax133,axiom, % 10.83/10.92 ! [VAR_V_279] : pred_equal(VAR_V_279,VAR_V_279) ). % 10.83/10.92 % 10.83/10.92 fof(ax134,axiom, % 10.83/10.92 ! [VAR_V_280X30] : pred_attacker(name_new0x2Dname(VAR_V_280X30)) ). % 10.83/10.92 % 10.83/10.92 fof(ax135,axiom, % 10.83/10.92 ! [VAR_ENC_A_KAB_T_330X30] : % 10.83/10.92 ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) % 10.83/10.92 & pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30)) ) % 10.83/10.92 => pred_attacker(tuple_client_B_out_2(name_objective)) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax136,axiom, % 10.83/10.92 ! [VAR_0X40SID_388] : % 10.83/10.92 ( pred_attacker(tuple_server_S_in_1(name_A,name_B)) % 10.83/10.92 => pred_attacker(tuple_server_S_out_3(constr_cbc_enc_4(name_B,name_Kab_54(VAR_0X40SID_388),name_T_55(VAR_0X40SID_388),constr_cbc_enc_3(name_A,name_Kab_54(VAR_0X40SID_388),name_T_55(VAR_0X40SID_388),name_Kbs),name_Kas))) ) ). % 10.83/10.92 % 10.83/10.92 fof(ax137,axiom, % 10.83/10.92 ! [VAR_0X40SID_562] : % 10.83/10.92 ( pred_attacker(tuple_server_S_in_1(name_B,name_A)) % 10.83/10.92 => pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(name_A,name_Kab_54(VAR_0X40SID_562),name_T_55(VAR_0X40SID_562),constr_cbc_enc_3(name_B,name_Kab_54(VAR_0X40SID_562),name_T_55(VAR_0X40SID_562),name_Kas),name_Kbs))) ) ). % 10.83/10.92 % 10.83/10.92 fof(co0,conjecture, % 10.83/10.92 pred_attacker(name_objective) ). % 10.83/10.92 % 10.83/10.92 %-------------------------------------------------------------------------- % 10.83/10.92 %------------------------------------------- % 10.83/10.92 % Proof found % 10.83/10.92 % SZS status Theorem for theBenchmark % 10.83/10.92 % SZS output start Proof % 10.83/10.92 %ClaNum:195(EqnAxiom:57) % 10.83/10.92 %VarNum:246(SingletonVarNum:141) % 10.83/10.92 %MaxLitNum:6 % 10.83/10.92 %MaxfuncDepth:4 % 10.83/10.92 %SharedTerms:98 % 10.83/10.92 %goalClause: 150 % 10.83/10.92 %singleGoalClaCount:1 % 10.83/10.92 [58]P1(a1) % 10.83/10.92 [59]P1(a2) % 10.83/10.92 [60]P1(a3) % 10.83/10.92 [61]P1(a4) % 10.83/10.92 [62]P1(a5) % 10.83/10.92 [63]P1(a6) % 10.83/10.92 [64]P1(a24) % 10.83/10.92 [65]P1(a25) % 10.83/10.92 [66]P1(a26) % 10.83/10.92 [67]P1(a31) % 10.83/10.92 [68]P1(a32) % 10.83/10.92 [84]~E(a1,a2) % 10.83/10.92 [85]~E(a1,a3) % 10.83/10.92 [86]~E(a3,a2) % 10.83/10.92 [87]~E(a1,a4) % 10.83/10.92 [88]~E(a4,a2) % 10.83/10.92 [89]~E(a4,a3) % 10.83/10.92 [90]~E(a1,a5) % 10.83/10.92 [91]~E(a5,a2) % 10.83/10.92 [92]~E(a5,a3) % 10.83/10.92 [93]~E(a5,a4) % 10.83/10.92 [94]~E(a1,a6) % 10.83/10.92 [95]~E(a6,a2) % 10.83/10.92 [96]~E(a6,a3) % 10.83/10.92 [97]~E(a6,a4) % 10.83/10.92 [98]~E(a6,a5) % 10.83/10.92 [99]~E(a1,a24) % 10.83/10.92 [100]~E(a24,a2) % 10.83/10.92 [101]~E(a24,a3) % 10.83/10.92 [102]~E(a24,a4) % 10.83/10.92 [103]~E(a24,a5) % 10.83/10.92 [104]~E(a24,a6) % 10.83/10.92 [105]~E(a1,a25) % 10.83/10.92 [106]~E(a25,a2) % 10.83/10.92 [107]~E(a25,a3) % 10.83/10.92 [108]~E(a25,a4) % 10.83/10.92 [109]~E(a25,a5) % 10.83/10.92 [110]~E(a25,a6) % 10.83/10.92 [111]~E(a25,a24) % 10.83/10.92 [112]~E(a1,a27) % 10.83/10.92 [113]~E(a27,a2) % 10.83/10.92 [114]~E(a27,a3) % 10.83/10.92 [115]~E(a27,a4) % 10.83/10.92 [116]~E(a27,a5) % 10.83/10.92 [117]~E(a27,a6) % 10.83/10.92 [118]~E(a27,a24) % 10.83/10.92 [119]~E(a27,a25) % 10.83/10.92 [120]~E(a1,a29) % 10.83/10.92 [121]~E(a29,a2) % 10.83/10.92 [122]~E(a29,a3) % 10.83/10.92 [123]~E(a29,a4) % 10.83/10.92 [124]~E(a29,a5) % 10.83/10.92 [125]~E(a29,a6) % 10.83/10.92 [126]~E(a29,a24) % 10.83/10.92 [127]~E(a29,a25) % 10.83/10.92 [128]~E(a27,a29) % 10.83/10.92 [129]~E(a1,a26) % 10.83/10.92 [130]~E(a26,a2) % 10.83/10.92 [131]~E(a26,a3) % 10.83/10.92 [132]~E(a26,a4) % 10.83/10.92 [133]~E(a26,a5) % 10.83/10.92 [134]~E(a26,a6) % 10.83/10.92 [135]~E(a26,a24) % 10.83/10.92 [136]~E(a26,a25) % 10.83/10.92 [137]~E(a27,a26) % 10.83/10.92 [138]~E(a29,a26) % 10.83/10.92 [139]~E(a1,a36) % 10.83/10.92 [140]~E(a36,a2) % 10.83/10.92 [141]~E(a36,a3) % 10.83/10.92 [142]~E(a36,a4) % 10.83/10.92 [143]~E(a36,a5) % 10.83/10.92 [144]~E(a36,a6) % 10.83/10.92 [145]~E(a36,a24) % 10.83/10.92 [146]~E(a36,a25) % 10.83/10.92 [147]~E(a27,a36) % 10.83/10.92 [148]~E(a29,a36) % 10.83/10.92 [149]~E(a36,a26) % 10.83/10.92 [150]~P1(a36) % 10.83/10.92 [70]P2(x701,x701) % 10.83/10.92 [69]P1(f33(x691)) % 10.83/10.92 [71]E(f8(f7(x711,x712),x712),x711) % 10.83/10.92 [72]E(f18(f34(x721,x722,x723)),x723) % 10.83/10.92 [73]E(f19(f34(x731,x732,x733)),x732) % 10.83/10.92 [74]E(f20(f34(x741,x742,x743)),x741) % 10.83/10.92 [75]E(f9(f21(x751,x752,x753)),f7(x751,x753)) % 10.83/10.92 [76]E(f15(f21(x761,x762,x763),x763),f35(x761,x762)) % 10.83/10.92 [77]E(f10(f22(x771,x772,x773,x774)),f7(x771,x774)) % 10.83/10.92 [78]E(f11(f22(x781,x782,x783,x784)),f21(x781,x782,x784)) % 10.83/10.92 [79]E(f16(f22(x791,x792,x793,x794),x794),f34(x791,x792,x793)) % 10.83/10.92 [80]E(f12(f23(x801,x802,x803,x804,x805)),f7(x801,x805)) % 10.83/10.92 [81]E(f13(f23(x811,x812,x813,x814,x815)),f21(x811,x812,x815)) % 10.83/10.92 [82]E(f14(f23(x821,x822,x823,x824,x825)),f22(x821,x822,x823,x825)) % 10.83/10.92 [83]E(f17(f23(x831,x832,x833,x834,x835),x835),f37(x831,x832,x833,x834)) % 10.83/10.92 [151]~P1(x1511)+P1(f14(x1511)) % 10.83/10.92 [152]~P1(x1521)+P1(f13(x1521)) % 10.83/10.92 [153]~P1(x1531)+P1(f12(x1531)) % 10.83/10.92 [154]~P1(x1541)+P1(f11(x1541)) % 10.83/10.92 [155]~P1(x1551)+P1(f10(x1551)) % 10.83/10.92 [156]~P1(x1561)+P1(f9(x1561)) % 10.83/10.92 [157]~P1(x1571)+P1(f18(x1571)) % 10.83/10.92 [158]~P1(x1581)+P1(f19(x1581)) % 10.83/10.92 [159]~P1(x1591)+P1(f20(x1591)) % 10.83/10.92 [160]~P1(x1601)+P1(f40(x1601)) % 10.83/10.92 [161]~P1(x1611)+P1(f41(x1611)) % 10.83/10.92 [162]~P1(x1621)+P1(f38(x1621)) % 10.83/10.92 [163]~P1(x1631)+P1(f39(x1631)) % 10.83/10.92 [164]P1(x1641)+~P1(f40(x1641)) % 10.83/10.92 [165]P1(x1651)+~P1(f41(x1651)) % 10.83/10.92 [166]P1(x1661)+~P1(f38(x1661)) % 10.83/10.92 [167]P1(x1671)+~P1(f39(x1671)) % 10.83/10.92 [168]~P1(f39(x1681))+P1(f38(a36)) % 10.83/10.92 [194]~P1(f42(a6,a24))+P1(f40(f23(a24,f28(x1941),f30(x1941),f22(a6,f28(x1941),f30(x1941),a29),a27))) % 10.83/10.92 [195]~P1(f42(a24,a6))+P1(f41(f23(a6,f28(x1951),f30(x1951),f22(a24,f28(x1951),f30(x1951),a27),a29))) % 10.83/10.92 [178]P1(x1781)+~P1(f35(x1782,x1781)) % 10.83/10.92 [179]P1(x1791)+~P1(f42(x1792,x1791)) % 10.83/10.92 [180]P1(x1801)+~P1(f35(x1801,x1802)) % 10.83/10.92 [181]P1(x1811)+~P1(f42(x1811,x1812)) % 10.83/10.92 [184]P1(x1841)+~P1(f34(x1842,x1843,x1841)) % 10.83/10.92 [185]P1(x1851)+~P1(f34(x1852,x1851,x1853)) % 10.83/10.92 [186]P1(x1861)+~P1(f34(x1861,x1862,x1863)) % 10.83/10.92 [189]P1(x1891)+~P1(f37(x1892,x1893,x1894,x1891)) % 10.83/10.92 [190]P1(x1901)+~P1(f37(x1902,x1903,x1901,x1904)) % 10.83/10.92 [191]P1(x1911)+~P1(f37(x1912,x1911,x1913,x1914)) % 10.83/10.92 [192]P1(x1921)+~P1(f37(x1921,x1922,x1923,x1924)) % 10.83/10.92 [169]~P1(x1692)+~P1(x1691)+P3(x1691,x1692) % 10.83/10.92 [170]~P3(x1702,x1701)+P1(x1701)+~P1(x1702) % 10.83/10.92 [171]~P1(x1712)+~P1(x1711)+P1(f17(x1711,x1712)) % 10.83/10.92 [172]~P1(x1722)+~P1(x1721)+P1(f16(x1721,x1722)) % 10.83/10.92 [173]~P1(x1732)+~P1(x1731)+P1(f15(x1731,x1732)) % 10.83/10.92 [174]~P1(x1742)+~P1(x1741)+P1(f35(x1741,x1742)) % 10.83/10.92 [175]~P1(x1752)+~P1(x1751)+P1(f7(x1751,x1752)) % 10.83/10.92 [176]~P1(x1762)+~P1(x1761)+P1(f8(x1761,x1762)) % 10.83/10.92 [177]~P1(x1772)+~P1(x1771)+P1(f42(x1771,x1772)) % 10.83/10.92 [182]~P1(x1823)+~P1(x1822)+~P1(x1821)+P1(f34(x1821,x1822,x1823)) % 10.83/10.92 [183]~P1(x1833)+~P1(x1832)+~P1(x1831)+P1(f21(x1831,x1832,x1833)) % 10.83/10.92 [187]~P1(x1874)+~P1(x1873)+~P1(x1872)+~P1(x1871)+P1(f37(x1871,x1872,x1873,x1874)) % 10.83/10.92 [188]~P1(x1884)+~P1(x1883)+~P1(x1882)+~P1(x1881)+P1(f22(x1881,x1882,x1883,x1884)) % 10.83/10.92 [193]~P1(x1935)+~P1(x1934)+~P1(x1933)+~P1(x1932)+~P1(x1931)+P1(f23(x1931,x1932,x1933,x1934,x1935)) % 10.83/10.92 %EqnAxiom % 10.83/10.92 [1]E(x11,x11) % 10.83/10.92 [2]E(x22,x21)+~E(x21,x22) % 10.83/10.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 10.83/10.92 [4]~E(x41,x42)+E(f33(x41),f33(x42)) % 10.83/10.92 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53)) % 10.83/10.92 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62)) % 10.83/10.92 [7]~E(x71,x72)+E(f8(x71,x73),f8(x72,x73)) % 10.83/10.92 [8]~E(x81,x82)+E(f8(x83,x81),f8(x83,x82)) % 10.83/10.92 [9]~E(x91,x92)+E(f34(x91,x93,x94),f34(x92,x93,x94)) % 10.83/10.92 [10]~E(x101,x102)+E(f34(x103,x101,x104),f34(x103,x102,x104)) % 10.83/10.92 [11]~E(x111,x112)+E(f34(x113,x114,x111),f34(x113,x114,x112)) % 10.83/10.92 [12]~E(x121,x122)+E(f18(x121),f18(x122)) % 10.83/10.92 [13]~E(x131,x132)+E(f28(x131),f28(x132)) % 10.83/10.92 [14]~E(x141,x142)+E(f19(x141),f19(x142)) % 10.83/10.92 [15]~E(x151,x152)+E(f30(x151),f30(x152)) % 10.83/10.92 [16]~E(x161,x162)+E(f20(x161),f20(x162)) % 10.83/10.92 [17]~E(x171,x172)+E(f21(x171,x173,x174),f21(x172,x173,x174)) % 10.83/10.92 [18]~E(x181,x182)+E(f21(x183,x181,x184),f21(x183,x182,x184)) % 10.83/10.92 [19]~E(x191,x192)+E(f21(x193,x194,x191),f21(x193,x194,x192)) % 10.83/10.92 [20]~E(x201,x202)+E(f9(x201),f9(x202)) % 10.83/10.92 [21]~E(x211,x212)+E(f42(x211,x213),f42(x212,x213)) % 10.83/10.92 [22]~E(x221,x222)+E(f42(x223,x221),f42(x223,x222)) % 10.83/10.92 [23]~E(x231,x232)+E(f22(x231,x233,x234,x235),f22(x232,x233,x234,x235)) % 10.83/10.92 [24]~E(x241,x242)+E(f22(x243,x241,x244,x245),f22(x243,x242,x244,x245)) % 10.83/10.92 [25]~E(x251,x252)+E(f22(x253,x254,x251,x255),f22(x253,x254,x252,x255)) % 10.83/10.92 [26]~E(x261,x262)+E(f22(x263,x264,x265,x261),f22(x263,x264,x265,x262)) % 10.83/10.92 [27]~E(x271,x272)+E(f15(x271,x273),f15(x272,x273)) % 10.83/10.92 [28]~E(x281,x282)+E(f15(x283,x281),f15(x283,x282)) % 10.83/10.92 [29]~E(x291,x292)+E(f35(x291,x293),f35(x292,x293)) % 10.83/10.92 [30]~E(x301,x302)+E(f35(x303,x301),f35(x303,x302)) % 10.83/10.92 [31]~E(x311,x312)+E(f16(x311,x313),f16(x312,x313)) % 10.83/10.92 [32]~E(x321,x322)+E(f16(x323,x321),f16(x323,x322)) % 10.83/10.92 [33]~E(x331,x332)+E(f10(x331),f10(x332)) % 10.83/10.92 [34]~E(x341,x342)+E(f41(x341),f41(x342)) % 10.83/10.92 [35]~E(x351,x352)+E(f17(x351,x353),f17(x352,x353)) % 10.83/10.92 [36]~E(x361,x362)+E(f17(x363,x361),f17(x363,x362)) % 10.83/10.92 [37]~E(x371,x372)+E(f11(x371),f11(x372)) % 10.83/10.92 [38]~E(x381,x382)+E(f37(x381,x383,x384,x385),f37(x382,x383,x384,x385)) % 10.83/10.92 [39]~E(x391,x392)+E(f37(x393,x391,x394,x395),f37(x393,x392,x394,x395)) % 10.83/10.92 [40]~E(x401,x402)+E(f37(x403,x404,x401,x405),f37(x403,x404,x402,x405)) % 10.83/10.92 [41]~E(x411,x412)+E(f37(x413,x414,x415,x411),f37(x413,x414,x415,x412)) % 10.83/10.92 [42]~E(x421,x422)+E(f23(x421,x423,x424,x425,x426),f23(x422,x423,x424,x425,x426)) % 10.83/10.92 [43]~E(x431,x432)+E(f23(x433,x431,x434,x435,x436),f23(x433,x432,x434,x435,x436)) % 10.83/10.92 [44]~E(x441,x442)+E(f23(x443,x444,x441,x445,x446),f23(x443,x444,x442,x445,x446)) % 10.83/10.92 [45]~E(x451,x452)+E(f23(x453,x454,x455,x451,x456),f23(x453,x454,x455,x452,x456)) % 10.83/10.92 [46]~E(x461,x462)+E(f23(x463,x464,x465,x466,x461),f23(x463,x464,x465,x466,x462)) % 10.83/10.92 [47]~E(x471,x472)+E(f38(x471),f38(x472)) % 10.83/10.92 [48]~E(x481,x482)+E(f14(x481),f14(x482)) % 10.83/10.92 [49]~E(x491,x492)+E(f40(x491),f40(x492)) % 10.83/10.92 [50]~E(x501,x502)+E(f12(x501),f12(x502)) % 10.83/10.92 [51]~E(x511,x512)+E(f39(x511),f39(x512)) % 10.83/10.92 [52]~E(x521,x522)+E(f13(x521),f13(x522)) % 10.83/10.92 [53]~P1(x531)+P1(x532)+~E(x531,x532) % 10.83/10.92 [54]P3(x542,x543)+~E(x541,x542)+~P3(x541,x543) % 10.83/10.92 [55]P3(x553,x552)+~E(x551,x552)+~P3(x553,x551) % 10.83/10.92 [56]P2(x562,x563)+~E(x561,x562)+~P2(x561,x563) % 10.83/10.92 [57]P2(x573,x572)+~E(x571,x572)+~P2(x573,x571) % 10.83/10.92 % 10.83/10.92 %------------------------------------------- % 10.83/10.92 cnf(1264,plain, % 10.83/10.92 (P1(f38(a36))), % 10.83/10.92 inference(scs_inference,[],[58,168,163])). % 10.83/10.92 cnf(1265,plain, % 10.83/10.92 ($false), % 10.83/10.92 inference(scs_inference,[],[150,1264,166]), % 10.83/10.92 ['proof']). % 10.83/10.92 % SZS output end Proof % 10.83/10.92 % Total time :10.220000s %------------------------------------------------------------------------------