TSTP Solution File: SWW962+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : 0s
% DateTime : Wed Jul 20 23:23:09 EDT 2022
% Result : Theorem 0.71s 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 5 14:49:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08
% 0.42/1.08 { ! constr_CONST_0x30 = constr_CONST_1 }.
% 0.42/1.08 { ! constr_CONST_0x30 = constr_CONST_2 }.
% 0.42/1.08 { ! constr_CONST_0x30 = constr_CONST_3 }.
% 0.42/1.08 { ! constr_CONST_0x30 = constr_CONST_4 }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_A }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_B }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_I }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_c }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_objective }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_skA }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_skB }.
% 0.42/1.08 { ! constr_CONST_0x30 = name_skS }.
% 0.42/1.08 { ! constr_CONST_1 = constr_CONST_2 }.
% 0.42/1.08 { ! constr_CONST_1 = constr_CONST_3 }.
% 0.42/1.08 { ! constr_CONST_1 = constr_CONST_4 }.
% 0.42/1.08 { ! constr_CONST_1 = name_A }.
% 0.42/1.08 { ! constr_CONST_1 = name_B }.
% 0.42/1.08 { ! constr_CONST_1 = name_I }.
% 0.42/1.08 { ! constr_CONST_1 = name_c }.
% 0.42/1.08 { ! constr_CONST_1 = name_objective }.
% 0.42/1.08 { ! constr_CONST_1 = name_skA }.
% 0.42/1.08 { ! constr_CONST_1 = name_skB }.
% 0.42/1.08 { ! constr_CONST_1 = name_skS }.
% 0.42/1.08 { ! constr_CONST_2 = constr_CONST_3 }.
% 0.42/1.08 { ! constr_CONST_2 = constr_CONST_4 }.
% 0.42/1.08 { ! constr_CONST_2 = name_A }.
% 0.42/1.08 { ! constr_CONST_2 = name_B }.
% 0.42/1.08 { ! constr_CONST_2 = name_I }.
% 0.42/1.08 { ! constr_CONST_2 = name_c }.
% 0.42/1.08 { ! constr_CONST_2 = name_objective }.
% 0.42/1.08 { ! constr_CONST_2 = name_skA }.
% 0.42/1.08 { ! constr_CONST_2 = name_skB }.
% 0.42/1.08 { ! constr_CONST_2 = name_skS }.
% 0.42/1.08 { ! constr_CONST_3 = constr_CONST_4 }.
% 0.42/1.08 { ! constr_CONST_3 = name_A }.
% 0.42/1.08 { ! constr_CONST_3 = name_B }.
% 0.42/1.08 { ! constr_CONST_3 = name_I }.
% 0.42/1.08 { ! constr_CONST_3 = name_c }.
% 0.42/1.08 { ! constr_CONST_3 = name_objective }.
% 0.42/1.08 { ! constr_CONST_3 = name_skA }.
% 0.42/1.08 { ! constr_CONST_3 = name_skB }.
% 0.42/1.08 { ! constr_CONST_3 = name_skS }.
% 0.42/1.08 { ! constr_CONST_4 = name_A }.
% 0.42/1.08 { ! constr_CONST_4 = name_B }.
% 0.42/1.08 { ! constr_CONST_4 = name_I }.
% 0.42/1.08 { ! constr_CONST_4 = name_c }.
% 0.42/1.08 { ! constr_CONST_4 = name_objective }.
% 0.42/1.08 { ! constr_CONST_4 = name_skA }.
% 0.42/1.08 { ! constr_CONST_4 = name_skB }.
% 0.42/1.08 { ! constr_CONST_4 = name_skS }.
% 0.42/1.08 { ! name_A = name_B }.
% 0.42/1.08 { ! name_A = name_I }.
% 0.42/1.08 { ! name_A = name_c }.
% 0.42/1.08 { ! name_A = name_objective }.
% 0.42/1.08 { ! name_A = name_skA }.
% 0.42/1.08 { ! name_A = name_skB }.
% 0.42/1.08 { ! name_A = name_skS }.
% 0.42/1.08 { ! name_B = name_I }.
% 0.42/1.08 { ! name_B = name_c }.
% 0.42/1.08 { ! name_B = name_objective }.
% 0.42/1.08 { ! name_B = name_skA }.
% 0.42/1.08 { ! name_B = name_skB }.
% 0.42/1.08 { ! name_B = name_skS }.
% 0.42/1.08 { ! name_I = name_c }.
% 0.42/1.08 { ! name_I = name_objective }.
% 0.42/1.08 { ! name_I = name_skA }.
% 0.42/1.08 { ! name_I = name_skB }.
% 0.42/1.08 { ! name_I = name_skS }.
% 0.42/1.08 { ! name_c = name_objective }.
% 0.42/1.08 { ! name_c = name_skA }.
% 0.42/1.08 { ! name_c = name_skB }.
% 0.42/1.08 { ! name_c = name_skS }.
% 0.42/1.08 { ! name_objective = name_skA }.
% 0.42/1.08 { ! name_objective = name_skB }.
% 0.42/1.08 { ! name_objective = name_skS }.
% 0.42/1.08 { ! name_skA = name_skB }.
% 0.42/1.08 { ! name_skA = name_skS }.
% 0.42/1.08 { ! name_skB = name_skS }.
% 0.42/1.08 { constr_adec( constr_aenc( Y, constr_pkey( X ) ), X ) = Y }.
% 0.42/1.08 { constr_dec( constr_enc( Y, X ), X ) = Y }.
% 0.42/1.08 { constr_getmess( constr_sign( Y, X ) ) = Y }.
% 0.42/1.08 { constr_checksign( constr_sign( Y, X ), constr_pkey( X ) ) = Y }.
% 0.42/1.08 { tuple_assoc_pair( X, tuple_assoc_pair( Y, Z ) ) = tuple_assoc_pair(
% 0.42/1.08 tuple_assoc_pair( X, Y ), Z ) }.
% 0.42/1.08 { constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( X, Y ) ) = Y }.
% 0.42/1.08 { constr_assoc_pair_2_get_0x30_bitstring( tuple_assoc_pair( X, Y ) ) = X }
% 0.42/1.08 .
% 0.42/1.08 { constr_assoc_pair_2_get_1( tuple_assoc_pair( X, Y ) ) = Y }.
% 0.42/1.08 { constr_assoc_pair_2_get_0x30( tuple_assoc_pair( X, Y ) ) = X }.
% 0.42/1.08 { constr_tuple_2_get_1_bitstring( tuple_2( X, Y ) ) = Y }.
% 0.42/1.08 { constr_tuple_2_get_0x30( tuple_2( X, Y ) ) = X }.
% 0.42/1.08 { pred_eq_bitstring_bitstring( X, Y ) }.
% 0.42/1.08 { ! pred_attacker( X ), pred_attacker( constr_tuple_2_get_1_bitstring( X )
% 0.42/1.08 ) }.
% 0.42/1.08 { ! pred_attacker( X ), pred_attacker( constr_tuple_2_get_0x30( X ) ) }.
% 0.42/1.08 { pred_attacker( tuple_true ) }.
% 0.42/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker( constr_sign( X
% 0.42/1.08 , Y ) ) }.
% 0.42/1.08 { ! pred_attacker( X ), pred_attacker( constr_pkey( X ) ) }.
% 0.42/1.08 { ! pred_attacker( X ), pred_attacker( tuple_out_3( X ) ) }.
% 0.42/1.08 { ! pred_attacker( tuple_out_3( X ) ), pred_attacker( X ) }.
% 0.42/1.08 { ! pred_attacker( X ), pred_attacker( tuple_out_2( X ) ) }.
% 0.42/1.08 { ! pred_attacker( tuple_out_2( X ) ), pred_attacker( X ) }.
% 0.42/1.08 { ! pred_attacker( X ), pred_attacker( tuple_out_1( X ) ) }.
% 0.42/1.08 { ! pred_attacker( tuple_out_1( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_key_retrieval_server_out_2( X
% 0.71/1.08 ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_key_retrieval_server_out_2( X ) ), pred_attacker(
% 0.71/1.08 X ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_in_1( X, Y ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_key_retrieval_server_in_1( X, Y ) ), pred_attacker
% 0.71/1.08 ( X ) }.
% 0.71/1.08 { ! pred_attacker( tuple_key_retrieval_server_in_1( Y, X ) ), pred_attacker
% 0.71/1.08 ( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker(
% 0.71/1.08 tuple_key_register_server_in_1( X, Y ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_key_register_server_in_1( X, Y ) ), pred_attacker
% 0.71/1.08 ( X ) }.
% 0.71/1.08 { ! pred_attacker( tuple_key_register_server_in_1( Y, X ) ), pred_attacker
% 0.71/1.08 ( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( constr_getmess( X ) ) }.
% 0.71/1.08 { pred_attacker( tuple_false ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker( constr_enc( X
% 0.71/1.08 , Y ) ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker( constr_dec( X
% 0.71/1.08 , Y ) ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_B_out_6( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_B_out_6( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_B_out_4( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_B_out_4( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker(
% 0.71/1.08 tuple_client_B_out_1( X, Y ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_B_out_1( X, Y ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_B_out_1( Y, X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_B_in_5( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_B_in_5( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_B_in_3( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_B_in_3( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_B_in_2( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_B_in_2( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_A_out_5( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_A_out_5( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_A_out_3( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_A_out_3( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker(
% 0.71/1.08 tuple_client_A_out_1( X, Y ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_A_out_1( X, Y ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_A_out_1( Y, X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_A_in_4( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_A_in_4( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( tuple_client_A_in_2( X ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_client_A_in_2( X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker(
% 0.71/1.08 constr_checksign( X, Y ) ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( constr_assoc_pair_2_get_1_bitstring
% 0.71/1.08 ( X ) ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( constr_assoc_pair_2_get_1( X ) ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( X ) ) }.
% 0.71/1.08 { ! pred_attacker( X ), pred_attacker( constr_assoc_pair_2_get_0x30( X ) )
% 0.71/1.08 }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker(
% 0.71/1.08 tuple_assoc_pair( X, Y ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_assoc_pair( X, Y ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( tuple_assoc_pair( Y, X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker( constr_aenc( X
% 0.71/1.08 , Y ) ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker( constr_adec( X
% 0.71/1.08 , Y ) ) }.
% 0.71/1.08 { pred_attacker( constr_CONST_4 ) }.
% 0.71/1.08 { pred_attacker( constr_CONST_3 ) }.
% 0.71/1.08 { pred_attacker( constr_CONST_2 ) }.
% 0.71/1.08 { pred_attacker( constr_CONST_1 ) }.
% 0.71/1.08 { pred_attacker( constr_CONST_0x30 ) }.
% 0.71/1.08 { ! pred_attacker( X ), ! pred_attacker( Y ), pred_attacker( tuple_2( X, Y
% 0.71/1.08 ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_2( X, Y ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( tuple_2( Y, X ) ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_mess( Y, X ), ! pred_attacker( Y ), pred_attacker( X ) }.
% 0.71/1.08 { ! pred_attacker( Y ), ! pred_attacker( X ), pred_mess( Y, X ) }.
% 0.71/1.08 { pred_attacker( name_c ) }.
% 0.71/1.08 { pred_attacker( name_I ) }.
% 0.71/1.08 { pred_attacker( name_B ) }.
% 0.71/1.08 { pred_attacker( name_A ) }.
% 0.71/1.08 { pred_equal( X, X ) }.
% 0.71/1.08 { pred_attacker( name_new0x2Dname( X ) ) }.
% 0.71/1.08 { pred_table( tuple_keys( name_A, constr_pkey( name_skA ) ) ) }.
% 0.71/1.08 { pred_table( tuple_keys( name_B, constr_pkey( name_skB ) ) ) }.
% 0.71/1.08 { pred_attacker( tuple_out_1( constr_pkey( name_skA ) ) ) }.
% 0.71/1.08 { pred_attacker( tuple_out_2( constr_pkey( name_skB ) ) ) }.
% 0.71/1.08 { pred_attacker( tuple_out_3( constr_pkey( name_skS ) ) ) }.
% 0.71/1.08 { pred_attacker( tuple_client_A_out_1( name_A, name_I ) ) }.
% 0.71/1.08 { ! pred_eq_bitstring_bitstring( name_I, constr_tuple_2_get_0x30(
% 0.71/1.08 constr_checksign( X, constr_pkey( name_skS ) ) ) ), ! pred_attacker(
% 0.71/1.08 tuple_client_A_in_2( X ) ), pred_attacker( tuple_client_A_out_3(
% 0.71/1.08 constr_aenc( tuple_assoc_pair( name_Na( Y ), name_A ),
% 0.71/1.08 constr_tuple_2_get_1_bitstring( constr_checksign( X, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ) ) ) }.
% 0.71/1.08 { ! pred_eq_bitstring_bitstring( name_I, constr_assoc_pair_2_get_1(
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( constr_adec( X, name_skA ) ) ) ), !
% 0.71/1.08 pred_eq_bitstring_bitstring( name_Na( Z ), constr_assoc_pair_2_get_0x30(
% 0.71/1.08 constr_adec( X, name_skA ) ) ), ! pred_attacker( tuple_client_A_in_4( X )
% 0.71/1.08 ), ! pred_eq_bitstring_bitstring( name_I, constr_tuple_2_get_0x30(
% 0.71/1.08 constr_checksign( Y, constr_pkey( name_skS ) ) ) ), ! pred_attacker(
% 0.71/1.08 tuple_client_A_in_2( Y ) ), pred_attacker( tuple_client_A_out_5(
% 0.71/1.08 constr_aenc( constr_assoc_pair_2_get_0x30_bitstring(
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( constr_adec( X, name_skA ) ) ),
% 0.71/1.08 constr_tuple_2_get_1_bitstring( constr_checksign( Y, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ) ) ) }.
% 0.71/1.08 { pred_attacker( tuple_client_B_out_1( name_B, name_A ) ) }.
% 0.71/1.08 { ! pred_eq_bitstring_bitstring( name_A, constr_assoc_pair_2_get_1(
% 0.71/1.08 constr_adec( X, name_skB ) ) ), ! pred_attacker( tuple_client_B_in_3( X )
% 0.71/1.08 ), ! pred_eq_bitstring_bitstring( name_A, constr_tuple_2_get_0x30(
% 0.71/1.08 constr_checksign( Y, constr_pkey( name_skS ) ) ) ), ! pred_attacker(
% 0.71/1.08 tuple_client_B_in_2( Y ) ), pred_attacker( tuple_client_B_out_4(
% 0.71/1.08 constr_aenc( tuple_assoc_pair( constr_assoc_pair_2_get_0x30_bitstring(
% 0.71/1.08 constr_adec( X, name_skB ) ), tuple_assoc_pair( name_Nb( Z ), name_B ) )
% 0.71/1.08 , constr_tuple_2_get_1_bitstring( constr_checksign( Y, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ) ) ) }.
% 0.71/1.08 { ! pred_eq_bitstring_bitstring( name_Nb( Y ), constr_adec( X, name_skB ) )
% 0.71/1.08 , ! pred_attacker( tuple_client_B_in_5( X ) ), !
% 0.71/1.08 pred_eq_bitstring_bitstring( name_A, constr_assoc_pair_2_get_1(
% 0.71/1.08 constr_adec( Z, name_skB ) ) ), ! pred_attacker( tuple_client_B_in_3( Z )
% 0.71/1.08 ), ! pred_eq_bitstring_bitstring( name_A, constr_tuple_2_get_0x30(
% 0.71/1.08 constr_checksign( T, constr_pkey( name_skS ) ) ) ), ! pred_attacker(
% 0.71/1.08 tuple_client_B_in_2( T ) ), pred_attacker( tuple_client_B_out_6(
% 0.71/1.08 name_objective ) ) }.
% 0.71/1.08 { ! pred_table( tuple_keys( X, Y ) ), ! pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_in_1( Z, X ) ), pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_out_2( constr_sign( tuple_2( X, Y ), name_skS
% 0.71/1.08 ) ) ) }.
% 0.71/1.08 { X = name_B, X = name_A, ! pred_attacker( tuple_key_register_server_in_1(
% 0.71/1.08 X, Y ) ), pred_table( tuple_keys( X, Y ) ) }.
% 0.71/1.08 { ! pred_attacker( tuple_2( name_Nb( skol1 ), name_objective ) ) }.
% 0.71/1.08
% 0.71/1.08 percentage equality = 0.333333, percentage horn = 0.994350
% 0.71/1.08 This is a problem with some equality
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 1
% 0.71/1.08 useeqrefl = 1
% 0.71/1.08 useeqfact = 1
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 5
% 0.71/1.08 usesimpres = 3
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = eqrewr
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.08
% 0.71/1.08 termordering = kbo
% 0.71/1.08
% 0.71/1.08 litapriori = 0
% 0.71/1.08 termapriori = 1
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.08 ordereqreflfact = 0
% 0.71/1.08
% 0.71/1.08 litselect = negord
% 0.71/1.08
% 0.71/1.08 maxweight = 15
% 0.71/1.08 maxdepth = 30000
% 0.71/1.08 maxlength = 115
% 0.71/1.08 maxnrvars = 195
% 0.71/1.08 excuselevel = 1
% 0.71/1.08 increasemaxweight = 1
% 0.71/1.08
% 0.71/1.08 maxselected = 10000000
% 0.71/1.08 maxnrclauses = 10000000
% 0.71/1.08
% 0.71/1.08 showgenerated = 0
% 0.71/1.08 showkept = 0
% 0.71/1.08 showselected = 0
% 0.71/1.08 showdeleted = 0
% 0.71/1.08 showresimp = 1
% 0.71/1.08 showstatus = 2000
% 0.71/1.08
% 0.71/1.08 prologoutput = 0
% 0.71/1.08 nrgoals = 5000000
% 0.71/1.08 totalproof = 1
% 0.71/1.08
% 0.71/1.08 Symbols occurring in the translation:
% 0.71/1.08
% 0.71/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.08 . [1, 2] (w:1, o:184, a:1, s:1, b:0),
% 0.71/1.08 ! [4, 1] (w:0, o:153, a:1, s:1, b:0),
% 0.71/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 constr_CONST_0x30 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.71/1.08 constr_CONST_1 [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.71/1.08 constr_CONST_2 [37, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.71/1.08 constr_CONST_3 [38, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.08 constr_CONST_4 [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.08 name_A [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.08 name_B [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.08 name_I [42, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.08 name_c [43, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.08 name_objective [44, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.08 name_skA [45, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.08 name_skB [46, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.71/1.08 name_skS [47, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.08 constr_pkey [50, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.71/1.08 constr_aenc [51, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.71/1.08 constr_adec [52, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.71/1.08 constr_enc [55, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.71/1.08 constr_dec [56, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.71/1.08 constr_sign [59, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.71/1.08 constr_getmess [60, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.71/1.08 constr_checksign [63, 2] (w:1, o:210, a:1, s:1, b:0),
% 0.71/1.08 tuple_assoc_pair [67, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring [70, 1] (w:1, o:162, a:1, s:1, b:
% 0.71/1.08 0),
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring [73, 1] (w:1, o:160, a:1, s:1
% 0.71/1.08 , b:0),
% 0.71/1.08 constr_assoc_pair_2_get_1 [76, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.71/1.08 constr_assoc_pair_2_get_0x30 [79, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.71/1.08 tuple_2 [82, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.71/1.08 constr_tuple_2_get_1_bitstring [83, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.71/1.08 constr_tuple_2_get_0x30 [86, 1] (w:1, o:164, a:1, s:1, b:0),
% 0.71/1.08 pred_eq_bitstring_bitstring [89, 2] (w:1, o:216, a:1, s:1, b:0),
% 0.71/1.08 pred_attacker [91, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.71/1.08 tuple_true [93, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.08 tuple_out_3 [98, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.71/1.08 tuple_out_2 [101, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.71/1.08 tuple_out_1 [104, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.71/1.08 tuple_key_retrieval_server_out_2 [107, 1] (w:1, o:170, a:1, s:1, b:0)
% 0.71/1.08 ,
% 0.71/1.08 tuple_key_retrieval_server_in_1 [111, 2] (w:1, o:217, a:1, s:1, b:0)
% 0.71/1.08 ,
% 0.71/1.08 tuple_key_register_server_in_1 [118, 2] (w:1, o:218, a:1, s:1, b:0),
% 0.71/1.08
% 0.71/1.08 tuple_false [124, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_B_out_6 [130, 1] (w:1, o:175, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_B_out_4 [133, 1] (w:1, o:176, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_B_out_1 [137, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_B_in_5 [143, 1] (w:1, o:177, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_B_in_3 [146, 1] (w:1, o:179, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_B_in_2 [149, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_A_out_5 [152, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_A_out_3 [155, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_A_out_1 [159, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_A_in_4 [165, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.71/1.08 tuple_client_A_in_2 [168, 1] (w:1, o:174, a:1, s:1, b:0),
% 0.71/1.08 pred_mess [194, 2] (w:1, o:221, a:1, s:1, b:0),
% 0.71/1.08 pred_equal [198, 2] (w:1, o:222, a:1, s:1, b:0),
% 0.71/1.08 name_new0x2Dname [200, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.71/1.08 tuple_keys [201, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.71/1.08 pred_table [202, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.71/1.08 name_Na [205, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.71/1.08 name_Nb [212, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.71/1.08 skol1 [223, 0] (w:1, o:46, a:1, s:1, b:1).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Starting Search:
% 0.71/1.08
% 0.71/1.08 *** allocated 15000 integers for clauses
% 0.71/1.08
% 0.71/1.08 Bliksems!, er is een bewijs:
% 0.71/1.08 % SZS status Theorem
% 0.71/1.08 % SZS output start Refutation
% 0.71/1.08
% 0.71/1.08 (77) {G0,W3,D2,L1,V0,M1} I { ! name_skS ==> name_skB }.
% 0.71/1.08 (82) {G0,W11,D4,L1,V3,M1} I { tuple_assoc_pair( X, tuple_assoc_pair( Y, Z )
% 0.71/1.08 ) ==> tuple_assoc_pair( tuple_assoc_pair( X, Y ), Z ) }.
% 0.71/1.08 (83) {G0,W6,D4,L1,V2,M1} I { constr_assoc_pair_2_get_1_bitstring(
% 0.71/1.08 tuple_assoc_pair( X, Y ) ) ==> Y }.
% 0.71/1.08 (84) {G0,W6,D4,L1,V2,M1} I { constr_assoc_pair_2_get_0x30_bitstring(
% 0.71/1.08 tuple_assoc_pair( X, Y ) ) ==> X }.
% 0.71/1.08 (234) {G1,W5,D3,L1,V2,M1} P(82,83);d(83) { tuple_assoc_pair( Y, Z ) ==> Z
% 0.71/1.08 }.
% 0.71/1.08 (243) {G2,W4,D3,L1,V2,M1} S(84);d(234) {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( Y ) = X }.
% 0.71/1.08 (250) {G3,W3,D2,L1,V2,M1} P(243,243) { Y = Z }.
% 0.71/1.08 (289) {G4,W3,D2,L1,V1,M1} P(250,77) { ! X = name_skB }.
% 0.71/1.08 (290) {G5,W0,D0,L0,V0,M0} Q(289) { }.
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 % SZS output end Refutation
% 0.71/1.08 found a proof!
% 0.71/1.08
% 0.71/1.08 *** allocated 22500 integers for clauses
% 0.71/1.08
% 0.71/1.08 Unprocessed initial clauses:
% 0.71/1.08
% 0.71/1.08 (292) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = constr_CONST_1 }.
% 0.71/1.08 (293) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = constr_CONST_2 }.
% 0.71/1.08 (294) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = constr_CONST_3 }.
% 0.71/1.08 (295) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = constr_CONST_4 }.
% 0.71/1.08 (296) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_A }.
% 0.71/1.08 (297) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_B }.
% 0.71/1.08 (298) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_I }.
% 0.71/1.08 (299) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_c }.
% 0.71/1.08 (300) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_objective }.
% 0.71/1.08 (301) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_skA }.
% 0.71/1.08 (302) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_skB }.
% 0.71/1.08 (303) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_0x30 = name_skS }.
% 0.71/1.08 (304) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = constr_CONST_2 }.
% 0.71/1.08 (305) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = constr_CONST_3 }.
% 0.71/1.08 (306) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = constr_CONST_4 }.
% 0.71/1.08 (307) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_A }.
% 0.71/1.08 (308) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_B }.
% 0.71/1.08 (309) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_I }.
% 0.71/1.08 (310) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_c }.
% 0.71/1.08 (311) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_objective }.
% 0.71/1.08 (312) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_skA }.
% 0.71/1.08 (313) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_skB }.
% 0.71/1.08 (314) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_1 = name_skS }.
% 0.71/1.08 (315) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = constr_CONST_3 }.
% 0.71/1.08 (316) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = constr_CONST_4 }.
% 0.71/1.08 (317) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_A }.
% 0.71/1.08 (318) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_B }.
% 0.71/1.08 (319) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_I }.
% 0.71/1.08 (320) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_c }.
% 0.71/1.08 (321) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_objective }.
% 0.71/1.08 (322) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_skA }.
% 0.71/1.08 (323) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_skB }.
% 0.71/1.08 (324) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_2 = name_skS }.
% 0.71/1.08 (325) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = constr_CONST_4 }.
% 0.71/1.08 (326) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_A }.
% 0.71/1.08 (327) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_B }.
% 0.71/1.08 (328) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_I }.
% 0.71/1.08 (329) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_c }.
% 0.71/1.08 (330) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_objective }.
% 0.71/1.08 (331) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_skA }.
% 0.71/1.08 (332) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_skB }.
% 0.71/1.08 (333) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_3 = name_skS }.
% 0.71/1.08 (334) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_A }.
% 0.71/1.08 (335) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_B }.
% 0.71/1.08 (336) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_I }.
% 0.71/1.08 (337) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_c }.
% 0.71/1.08 (338) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_objective }.
% 0.71/1.08 (339) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_skA }.
% 0.71/1.08 (340) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_skB }.
% 0.71/1.08 (341) {G0,W3,D2,L1,V0,M1} { ! constr_CONST_4 = name_skS }.
% 0.71/1.08 (342) {G0,W3,D2,L1,V0,M1} { ! name_A = name_B }.
% 0.71/1.08 (343) {G0,W3,D2,L1,V0,M1} { ! name_A = name_I }.
% 0.71/1.08 (344) {G0,W3,D2,L1,V0,M1} { ! name_A = name_c }.
% 0.71/1.08 (345) {G0,W3,D2,L1,V0,M1} { ! name_A = name_objective }.
% 0.71/1.08 (346) {G0,W3,D2,L1,V0,M1} { ! name_A = name_skA }.
% 0.71/1.08 (347) {G0,W3,D2,L1,V0,M1} { ! name_A = name_skB }.
% 0.71/1.08 (348) {G0,W3,D2,L1,V0,M1} { ! name_A = name_skS }.
% 0.71/1.08 (349) {G0,W3,D2,L1,V0,M1} { ! name_B = name_I }.
% 0.71/1.08 (350) {G0,W3,D2,L1,V0,M1} { ! name_B = name_c }.
% 0.71/1.08 (351) {G0,W3,D2,L1,V0,M1} { ! name_B = name_objective }.
% 0.71/1.08 (352) {G0,W3,D2,L1,V0,M1} { ! name_B = name_skA }.
% 0.71/1.08 (353) {G0,W3,D2,L1,V0,M1} { ! name_B = name_skB }.
% 0.71/1.08 (354) {G0,W3,D2,L1,V0,M1} { ! name_B = name_skS }.
% 0.71/1.08 (355) {G0,W3,D2,L1,V0,M1} { ! name_I = name_c }.
% 0.71/1.08 (356) {G0,W3,D2,L1,V0,M1} { ! name_I = name_objective }.
% 0.71/1.08 (357) {G0,W3,D2,L1,V0,M1} { ! name_I = name_skA }.
% 0.71/1.08 (358) {G0,W3,D2,L1,V0,M1} { ! name_I = name_skB }.
% 0.71/1.08 (359) {G0,W3,D2,L1,V0,M1} { ! name_I = name_skS }.
% 0.71/1.08 (360) {G0,W3,D2,L1,V0,M1} { ! name_c = name_objective }.
% 0.71/1.08 (361) {G0,W3,D2,L1,V0,M1} { ! name_c = name_skA }.
% 0.71/1.08 (362) {G0,W3,D2,L1,V0,M1} { ! name_c = name_skB }.
% 0.71/1.08 (363) {G0,W3,D2,L1,V0,M1} { ! name_c = name_skS }.
% 0.71/1.08 (364) {G0,W3,D2,L1,V0,M1} { ! name_objective = name_skA }.
% 0.71/1.08 (365) {G0,W3,D2,L1,V0,M1} { ! name_objective = name_skB }.
% 0.71/1.08 (366) {G0,W3,D2,L1,V0,M1} { ! name_objective = name_skS }.
% 0.71/1.08 (367) {G0,W3,D2,L1,V0,M1} { ! name_skA = name_skB }.
% 0.71/1.08 (368) {G0,W3,D2,L1,V0,M1} { ! name_skA = name_skS }.
% 0.71/1.08 (369) {G0,W3,D2,L1,V0,M1} { ! name_skB = name_skS }.
% 0.71/1.08 (370) {G0,W8,D5,L1,V2,M1} { constr_adec( constr_aenc( Y, constr_pkey( X )
% 0.71/1.08 ), X ) = Y }.
% 0.71/1.08 (371) {G0,W7,D4,L1,V2,M1} { constr_dec( constr_enc( Y, X ), X ) = Y }.
% 0.71/1.08 (372) {G0,W6,D4,L1,V2,M1} { constr_getmess( constr_sign( Y, X ) ) = Y }.
% 0.71/1.08 (373) {G0,W8,D4,L1,V2,M1} { constr_checksign( constr_sign( Y, X ),
% 0.71/1.08 constr_pkey( X ) ) = Y }.
% 0.71/1.08 (374) {G0,W11,D4,L1,V3,M1} { tuple_assoc_pair( X, tuple_assoc_pair( Y, Z )
% 0.71/1.08 ) = tuple_assoc_pair( tuple_assoc_pair( X, Y ), Z ) }.
% 0.71/1.08 (375) {G0,W6,D4,L1,V2,M1} { constr_assoc_pair_2_get_1_bitstring(
% 0.71/1.08 tuple_assoc_pair( X, Y ) ) = Y }.
% 0.71/1.08 (376) {G0,W6,D4,L1,V2,M1} { constr_assoc_pair_2_get_0x30_bitstring(
% 0.71/1.08 tuple_assoc_pair( X, Y ) ) = X }.
% 0.71/1.08 (377) {G0,W6,D4,L1,V2,M1} { constr_assoc_pair_2_get_1( tuple_assoc_pair( X
% 0.71/1.08 , Y ) ) = Y }.
% 0.71/1.08 (378) {G0,W6,D4,L1,V2,M1} { constr_assoc_pair_2_get_0x30( tuple_assoc_pair
% 0.71/1.08 ( X, Y ) ) = X }.
% 0.71/1.08 (379) {G0,W6,D4,L1,V2,M1} { constr_tuple_2_get_1_bitstring( tuple_2( X, Y
% 0.71/1.08 ) ) = Y }.
% 0.71/1.08 (380) {G0,W6,D4,L1,V2,M1} { constr_tuple_2_get_0x30( tuple_2( X, Y ) ) = X
% 0.71/1.08 }.
% 0.71/1.08 (381) {G0,W3,D2,L1,V2,M1} { pred_eq_bitstring_bitstring( X, Y ) }.
% 0.71/1.08 (382) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_tuple_2_get_1_bitstring( X ) ) }.
% 0.71/1.08 (383) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_tuple_2_get_0x30( X ) ) }.
% 0.71/1.08 (384) {G0,W2,D2,L1,V0,M1} { pred_attacker( tuple_true ) }.
% 0.71/1.08 (385) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( constr_sign( X, Y ) ) }.
% 0.71/1.08 (386) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_pkey( X ) ) }.
% 0.71/1.08 (387) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_out_3( X ) ) }.
% 0.71/1.08 (388) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_out_3( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (389) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_out_2( X ) ) }.
% 0.71/1.08 (390) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_out_2( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (391) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_out_1( X ) ) }.
% 0.71/1.08 (392) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_out_1( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (393) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_out_2( X ) ) }.
% 0.71/1.08 (394) {G0,W5,D3,L2,V1,M2} { ! pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_out_2( X ) ), pred_attacker( X ) }.
% 0.71/1.08 (395) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( tuple_key_retrieval_server_in_1( X, Y ) ) }.
% 0.71/1.08 (396) {G0,W6,D3,L2,V2,M2} { ! pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_in_1( X, Y ) ), pred_attacker( X ) }.
% 0.71/1.08 (397) {G0,W6,D3,L2,V2,M2} { ! pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_in_1( Y, X ) ), pred_attacker( X ) }.
% 0.71/1.08 (398) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( tuple_key_register_server_in_1( X, Y ) ) }.
% 0.71/1.08 (399) {G0,W6,D3,L2,V2,M2} { ! pred_attacker(
% 0.71/1.08 tuple_key_register_server_in_1( X, Y ) ), pred_attacker( X ) }.
% 0.71/1.08 (400) {G0,W6,D3,L2,V2,M2} { ! pred_attacker(
% 0.71/1.08 tuple_key_register_server_in_1( Y, X ) ), pred_attacker( X ) }.
% 0.71/1.08 (401) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_getmess( X ) ) }.
% 0.71/1.08 (402) {G0,W2,D2,L1,V0,M1} { pred_attacker( tuple_false ) }.
% 0.71/1.08 (403) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( constr_enc( X, Y ) ) }.
% 0.71/1.08 (404) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( constr_dec( X, Y ) ) }.
% 0.71/1.08 (405) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_B_out_6( X ) ) }.
% 0.71/1.08 (406) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_B_out_6( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (407) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_B_out_4( X ) ) }.
% 0.71/1.08 (408) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_B_out_4( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (409) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( tuple_client_B_out_1( X, Y ) ) }.
% 0.71/1.08 (410) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_client_B_out_1( X, Y )
% 0.71/1.08 ), pred_attacker( X ) }.
% 0.71/1.08 (411) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_client_B_out_1( Y, X )
% 0.71/1.08 ), pred_attacker( X ) }.
% 0.71/1.08 (412) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_B_in_5( X ) ) }.
% 0.71/1.08 (413) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_B_in_5( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (414) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_B_in_3( X ) ) }.
% 0.71/1.08 (415) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_B_in_3( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (416) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_B_in_2( X ) ) }.
% 0.71/1.08 (417) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_B_in_2( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (418) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_A_out_5( X ) ) }.
% 0.71/1.08 (419) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_A_out_5( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (420) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_A_out_3( X ) ) }.
% 0.71/1.08 (421) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_A_out_3( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (422) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( tuple_client_A_out_1( X, Y ) ) }.
% 0.71/1.08 (423) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_client_A_out_1( X, Y )
% 0.71/1.08 ), pred_attacker( X ) }.
% 0.71/1.08 (424) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_client_A_out_1( Y, X )
% 0.71/1.08 ), pred_attacker( X ) }.
% 0.71/1.08 (425) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_A_in_4( X ) ) }.
% 0.71/1.08 (426) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_A_in_4( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (427) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 tuple_client_A_in_2( X ) ) }.
% 0.71/1.08 (428) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( tuple_client_A_in_2( X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (429) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( constr_checksign( X, Y ) ) }.
% 0.71/1.08 (430) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( X ) ) }.
% 0.71/1.08 (431) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_assoc_pair_2_get_1( X ) ) }.
% 0.71/1.08 (432) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( X ) ) }.
% 0.71/1.08 (433) {G0,W5,D3,L2,V1,M2} { ! pred_attacker( X ), pred_attacker(
% 0.71/1.08 constr_assoc_pair_2_get_0x30( X ) ) }.
% 0.71/1.08 (434) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( tuple_assoc_pair( X, Y ) ) }.
% 0.71/1.08 (435) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_assoc_pair( X, Y ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (436) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_assoc_pair( Y, X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (437) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( constr_aenc( X, Y ) ) }.
% 0.71/1.08 (438) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( constr_adec( X, Y ) ) }.
% 0.71/1.08 (439) {G0,W2,D2,L1,V0,M1} { pred_attacker( constr_CONST_4 ) }.
% 0.71/1.08 (440) {G0,W2,D2,L1,V0,M1} { pred_attacker( constr_CONST_3 ) }.
% 0.71/1.08 (441) {G0,W2,D2,L1,V0,M1} { pred_attacker( constr_CONST_2 ) }.
% 0.71/1.08 (442) {G0,W2,D2,L1,V0,M1} { pred_attacker( constr_CONST_1 ) }.
% 0.71/1.08 (443) {G0,W2,D2,L1,V0,M1} { pred_attacker( constr_CONST_0x30 ) }.
% 0.71/1.08 (444) {G0,W8,D3,L3,V2,M3} { ! pred_attacker( X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( tuple_2( X, Y ) ) }.
% 0.71/1.08 (445) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_2( X, Y ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (446) {G0,W6,D3,L2,V2,M2} { ! pred_attacker( tuple_2( Y, X ) ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (447) {G0,W7,D2,L3,V2,M3} { ! pred_mess( Y, X ), ! pred_attacker( Y ),
% 0.71/1.08 pred_attacker( X ) }.
% 0.71/1.08 (448) {G0,W7,D2,L3,V2,M3} { ! pred_attacker( Y ), ! pred_attacker( X ),
% 0.71/1.08 pred_mess( Y, X ) }.
% 0.71/1.08 (449) {G0,W2,D2,L1,V0,M1} { pred_attacker( name_c ) }.
% 0.71/1.08 (450) {G0,W2,D2,L1,V0,M1} { pred_attacker( name_I ) }.
% 0.71/1.08 (451) {G0,W2,D2,L1,V0,M1} { pred_attacker( name_B ) }.
% 0.71/1.08 (452) {G0,W2,D2,L1,V0,M1} { pred_attacker( name_A ) }.
% 0.71/1.08 (453) {G0,W3,D2,L1,V1,M1} { pred_equal( X, X ) }.
% 0.71/1.08 (454) {G0,W3,D3,L1,V1,M1} { pred_attacker( name_new0x2Dname( X ) ) }.
% 0.71/1.08 (455) {G0,W5,D4,L1,V0,M1} { pred_table( tuple_keys( name_A, constr_pkey(
% 0.71/1.08 name_skA ) ) ) }.
% 0.71/1.08 (456) {G0,W5,D4,L1,V0,M1} { pred_table( tuple_keys( name_B, constr_pkey(
% 0.71/1.08 name_skB ) ) ) }.
% 0.71/1.08 (457) {G0,W4,D4,L1,V0,M1} { pred_attacker( tuple_out_1( constr_pkey(
% 0.71/1.08 name_skA ) ) ) }.
% 0.71/1.08 (458) {G0,W4,D4,L1,V0,M1} { pred_attacker( tuple_out_2( constr_pkey(
% 0.71/1.08 name_skB ) ) ) }.
% 0.71/1.08 (459) {G0,W4,D4,L1,V0,M1} { pred_attacker( tuple_out_3( constr_pkey(
% 0.71/1.08 name_skS ) ) ) }.
% 0.71/1.08 (460) {G0,W4,D3,L1,V0,M1} { pred_attacker( tuple_client_A_out_1( name_A,
% 0.71/1.08 name_I ) ) }.
% 0.71/1.08 (461) {G0,W22,D7,L3,V2,M3} { ! pred_eq_bitstring_bitstring( name_I,
% 0.71/1.08 constr_tuple_2_get_0x30( constr_checksign( X, constr_pkey( name_skS ) ) )
% 0.71/1.08 ), ! pred_attacker( tuple_client_A_in_2( X ) ), pred_attacker(
% 0.71/1.08 tuple_client_A_out_3( constr_aenc( tuple_assoc_pair( name_Na( Y ), name_A
% 0.71/1.08 ), constr_tuple_2_get_1_bitstring( constr_checksign( X, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ) ) ) }.
% 0.71/1.08 (462) {G0,W40,D7,L6,V3,M6} { ! pred_eq_bitstring_bitstring( name_I,
% 0.71/1.08 constr_assoc_pair_2_get_1( constr_assoc_pair_2_get_1_bitstring(
% 0.71/1.08 constr_adec( X, name_skA ) ) ) ), ! pred_eq_bitstring_bitstring( name_Na
% 0.71/1.08 ( Z ), constr_assoc_pair_2_get_0x30( constr_adec( X, name_skA ) ) ), !
% 0.71/1.08 pred_attacker( tuple_client_A_in_4( X ) ), ! pred_eq_bitstring_bitstring
% 0.71/1.08 ( name_I, constr_tuple_2_get_0x30( constr_checksign( Y, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ), ! pred_attacker( tuple_client_A_in_2( Y ) ),
% 0.71/1.08 pred_attacker( tuple_client_A_out_5( constr_aenc(
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring(
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( constr_adec( X, name_skA ) ) ),
% 0.71/1.08 constr_tuple_2_get_1_bitstring( constr_checksign( Y, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ) ) ) }.
% 0.71/1.08 (463) {G0,W4,D3,L1,V0,M1} { pred_attacker( tuple_client_B_out_1( name_B,
% 0.71/1.08 name_A ) ) }.
% 0.71/1.08 (464) {G0,W36,D7,L5,V3,M5} { ! pred_eq_bitstring_bitstring( name_A,
% 0.71/1.08 constr_assoc_pair_2_get_1( constr_adec( X, name_skB ) ) ), !
% 0.71/1.08 pred_attacker( tuple_client_B_in_3( X ) ), ! pred_eq_bitstring_bitstring
% 0.71/1.08 ( name_A, constr_tuple_2_get_0x30( constr_checksign( Y, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ), ! pred_attacker( tuple_client_B_in_2( Y ) ),
% 0.71/1.08 pred_attacker( tuple_client_B_out_4( constr_aenc( tuple_assoc_pair(
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( constr_adec( X, name_skB ) ),
% 0.71/1.08 tuple_assoc_pair( name_Nb( Z ), name_B ) ),
% 0.71/1.08 constr_tuple_2_get_1_bitstring( constr_checksign( Y, constr_pkey(
% 0.71/1.08 name_skS ) ) ) ) ) ) }.
% 0.71/1.08 (465) {G0,W31,D5,L7,V4,M7} { ! pred_eq_bitstring_bitstring( name_Nb( Y ),
% 0.71/1.08 constr_adec( X, name_skB ) ), ! pred_attacker( tuple_client_B_in_5( X ) )
% 0.71/1.08 , ! pred_eq_bitstring_bitstring( name_A, constr_assoc_pair_2_get_1(
% 0.71/1.08 constr_adec( Z, name_skB ) ) ), ! pred_attacker( tuple_client_B_in_3( Z )
% 0.71/1.08 ), ! pred_eq_bitstring_bitstring( name_A, constr_tuple_2_get_0x30(
% 0.71/1.08 constr_checksign( T, constr_pkey( name_skS ) ) ) ), ! pred_attacker(
% 0.71/1.08 tuple_client_B_in_2( T ) ), pred_attacker( tuple_client_B_out_6(
% 0.71/1.08 name_objective ) ) }.
% 0.71/1.08 (466) {G0,W15,D5,L3,V3,M3} { ! pred_table( tuple_keys( X, Y ) ), !
% 0.71/1.08 pred_attacker( tuple_key_retrieval_server_in_1( Z, X ) ), pred_attacker(
% 0.71/1.08 tuple_key_retrieval_server_out_2( constr_sign( tuple_2( X, Y ), name_skS
% 0.71/1.08 ) ) ) }.
% 0.71/1.08 (467) {G0,W14,D3,L4,V2,M4} { X = name_B, X = name_A, ! pred_attacker(
% 0.71/1.08 tuple_key_register_server_in_1( X, Y ) ), pred_table( tuple_keys( X, Y )
% 0.71/1.08 ) }.
% 0.71/1.08 (468) {G0,W5,D4,L1,V0,M1} { ! pred_attacker( tuple_2( name_Nb( skol1 ),
% 0.71/1.08 name_objective ) ) }.
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Total Proof:
% 0.71/1.08
% 0.71/1.08 eqswap: (546) {G0,W3,D2,L1,V0,M1} { ! name_skS = name_skB }.
% 0.71/1.08 parent0[0]: (369) {G0,W3,D2,L1,V0,M1} { ! name_skB = name_skS }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (77) {G0,W3,D2,L1,V0,M1} I { ! name_skS ==> name_skB }.
% 0.71/1.08 parent0: (546) {G0,W3,D2,L1,V0,M1} { ! name_skS = name_skB }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (82) {G0,W11,D4,L1,V3,M1} I { tuple_assoc_pair( X,
% 0.71/1.08 tuple_assoc_pair( Y, Z ) ) ==> tuple_assoc_pair( tuple_assoc_pair( X, Y )
% 0.71/1.08 , Z ) }.
% 0.71/1.08 parent0: (374) {G0,W11,D4,L1,V3,M1} { tuple_assoc_pair( X,
% 0.71/1.08 tuple_assoc_pair( Y, Z ) ) = tuple_assoc_pair( tuple_assoc_pair( X, Y ),
% 0.71/1.08 Z ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 *** allocated 33750 integers for clauses
% 0.71/1.08 subsumption: (83) {G0,W6,D4,L1,V2,M1} I {
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( X, Y ) ) ==> Y }.
% 0.71/1.08 parent0: (375) {G0,W6,D4,L1,V2,M1} { constr_assoc_pair_2_get_1_bitstring(
% 0.71/1.08 tuple_assoc_pair( X, Y ) ) = Y }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (84) {G0,W6,D4,L1,V2,M1} I {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( tuple_assoc_pair( X, Y ) ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 parent0: (376) {G0,W6,D4,L1,V2,M1} {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( tuple_assoc_pair( X, Y ) ) = X
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (800) {G0,W6,D4,L1,V2,M1} { Y ==>
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( X, Y ) ) }.
% 0.71/1.08 parent0[0]: (83) {G0,W6,D4,L1,V2,M1} I {
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( X, Y ) ) ==> Y }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (802) {G1,W10,D5,L1,V3,M1} { tuple_assoc_pair( X, Y ) ==>
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( tuple_assoc_pair(
% 0.71/1.08 Z, X ), Y ) ) }.
% 0.71/1.08 parent0[0]: (82) {G0,W11,D4,L1,V3,M1} I { tuple_assoc_pair( X,
% 0.71/1.08 tuple_assoc_pair( Y, Z ) ) ==> tuple_assoc_pair( tuple_assoc_pair( X, Y )
% 0.71/1.08 , Z ) }.
% 0.71/1.08 parent1[0; 5]: (800) {G0,W6,D4,L1,V2,M1} { Y ==>
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( X, Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Z
% 0.71/1.08 Y := X
% 0.71/1.08 Z := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Z
% 0.71/1.08 Y := tuple_assoc_pair( X, Y )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (803) {G1,W5,D3,L1,V2,M1} { tuple_assoc_pair( X, Y ) ==> Y }.
% 0.71/1.08 parent0[0]: (83) {G0,W6,D4,L1,V2,M1} I {
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( X, Y ) ) ==> Y }.
% 0.71/1.08 parent1[0; 4]: (802) {G1,W10,D5,L1,V3,M1} { tuple_assoc_pair( X, Y ) ==>
% 0.71/1.08 constr_assoc_pair_2_get_1_bitstring( tuple_assoc_pair( tuple_assoc_pair(
% 0.71/1.08 Z, X ), Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := tuple_assoc_pair( Z, X )
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (234) {G1,W5,D3,L1,V2,M1} P(82,83);d(83) { tuple_assoc_pair( Y
% 0.71/1.08 , Z ) ==> Z }.
% 0.71/1.08 parent0: (803) {G1,W5,D3,L1,V2,M1} { tuple_assoc_pair( X, Y ) ==> Y }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := Z
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (807) {G1,W4,D3,L1,V2,M1} {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( Y ) ==> X }.
% 0.71/1.08 parent0[0]: (234) {G1,W5,D3,L1,V2,M1} P(82,83);d(83) { tuple_assoc_pair( Y
% 0.71/1.08 , Z ) ==> Z }.
% 0.71/1.08 parent1[0; 2]: (84) {G0,W6,D4,L1,V2,M1} I {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( tuple_assoc_pair( X, Y ) ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Z
% 0.71/1.08 Y := X
% 0.71/1.08 Z := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (243) {G2,W4,D3,L1,V2,M1} S(84);d(234) {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( Y ) = X }.
% 0.71/1.08 parent0: (807) {G1,W4,D3,L1,V2,M1} {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( Y ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (809) {G2,W4,D3,L1,V2,M1} { Y =
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( X ) }.
% 0.71/1.08 parent0[0]: (243) {G2,W4,D3,L1,V2,M1} S(84);d(234) {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( Y ) = X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (817) {G3,W3,D2,L1,V2,M1} { X = Z }.
% 0.71/1.08 parent0[0]: (243) {G2,W4,D3,L1,V2,M1} S(84);d(234) {
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( Y ) = X }.
% 0.71/1.08 parent1[0; 2]: (809) {G2,W4,D3,L1,V2,M1} { Y =
% 0.71/1.08 constr_assoc_pair_2_get_0x30_bitstring( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Z
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (250) {G3,W3,D2,L1,V2,M1} P(243,243) { Y = Z }.
% 0.71/1.08 parent0: (817) {G3,W3,D2,L1,V2,M1} { X = Z }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := T
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (818) {G0,W3,D2,L1,V0,M1} { ! name_skB ==> name_skS }.
% 0.71/1.08 parent0[0]: (77) {G0,W3,D2,L1,V0,M1} I { ! name_skS ==> name_skB }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (820) {G1,W3,D2,L1,V1,M1} { ! name_skB ==> X }.
% 0.71/1.08 parent0[0]: (250) {G3,W3,D2,L1,V2,M1} P(243,243) { Y = Z }.
% 0.71/1.08 parent1[0; 3]: (818) {G0,W3,D2,L1,V0,M1} { ! name_skB ==> name_skS }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := name_skS
% 0.71/1.08 Z := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (821) {G2,W3,D2,L1,V2,M1} { ! Y ==> X }.
% 0.71/1.08 parent0[0]: (250) {G3,W3,D2,L1,V2,M1} P(243,243) { Y = Z }.
% 0.71/1.08 parent1[0; 2]: (820) {G1,W3,D2,L1,V1,M1} { ! name_skB ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Z
% 0.71/1.08 Y := name_skB
% 0.71/1.08 Z := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (289) {G4,W3,D2,L1,V1,M1} P(250,77) { ! X = name_skB }.
% 0.71/1.08 parent0: (821) {G2,W3,D2,L1,V2,M1} { ! Y ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := name_skB
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (822) {G4,W3,D2,L1,V1,M1} { ! name_skB = X }.
% 0.71/1.08 parent0[0]: (289) {G4,W3,D2,L1,V1,M1} P(250,77) { ! X = name_skB }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqrefl: (823) {G0,W0,D0,L0,V0,M0} { }.
% 0.71/1.08 parent0[0]: (822) {G4,W3,D2,L1,V1,M1} { ! name_skB = X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := name_skB
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (290) {G5,W0,D0,L0,V0,M0} Q(289) { }.
% 0.71/1.08 parent0: (823) {G0,W0,D0,L0,V0,M0} { }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 Proof check complete!
% 0.71/1.08
% 0.71/1.08 Memory use:
% 0.71/1.08
% 0.71/1.08 space for terms: 4387
% 0.71/1.08 space for clauses: 14689
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 clauses generated: 776
% 0.71/1.08 clauses kept: 291
% 0.71/1.08 clauses selected: 130
% 0.71/1.08 clauses deleted: 2
% 0.71/1.08 clauses inuse deleted: 0
% 0.71/1.08
% 0.71/1.08 subsentry: 2572
% 0.71/1.08 literals s-matched: 1510
% 0.71/1.08 literals matched: 1510
% 0.71/1.08 full subsumption: 7
% 0.71/1.08
% 0.71/1.08 checksum: -1786789644
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksem ended
%------------------------------------------------------------------------------