↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWW968+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:30:36 PM UTC 2026

% Result   : Theorem 1.59s 1.29s
% Output   : CNFRefutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  137 (  37 unt;   1 def)
%            Number of atoms       :  378 (  13 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  458 ( 220   ~; 205   |;  18   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;   8 con; 0-5 aty)
%            Number of variables   :  257 (   0 sgn 257   !;   0   ?; 122   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,axiom,
    ! [X0,X1,X2] : constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X0),X0) = tuple_2(X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(f84,axiom,
    ! [X0,X1,X2,X3,X4] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)) = constr_cbc_enc_2(X1,X2,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f89,axiom,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

fof(f92,axiom,
    ! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

fof(f96,axiom,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

fof(f103,axiom,
    pred_attacker(tuple_true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).

fof(f107,axiom,
    ! [X0] :
      ( pred_attacker(tuple_server_S_out_2(X0))
     => pred_attacker(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).

fof(f108,axiom,
    ! [X0,X1,X2] :
      ( ( pred_attacker(X2)
        & pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_dec(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).

fof(f119,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).

fof(f122,axiom,
    ! [X0] :
      ( pred_attacker(tuple_client_A_out_9(X0))
     => pred_attacker(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).

fof(f130,axiom,
    ! [X0] :
      ( pred_attacker(tuple_client_A_out_10(X0))
     => pred_attacker(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).

fof(f135,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_A_in_8(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).

fof(f137,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_A_in_6(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).

fof(f139,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_A_in_4(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).

fof(f141,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_A_in_2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).

fof(f152,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(constr_cbc_4_get_2_prefixes(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).

fof(f157,axiom,
    pred_attacker(constr_CONST_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(tuple_2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax170) ).

fof(f186,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( pred_attacker(tuple_client_A_in_2(X2))
        & pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
        & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
        & pred_attacker(tuple_client_A_in_4(X3))
        & pred_attacker(tuple_client_A_in_6(X1))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
        & pred_attacker(tuple_client_A_in_8(X4))
        & pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) )
     => pred_attacker(tuple_client_A_out_9(name_objective1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax185) ).

fof(f187,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( pred_attacker(tuple_client_A_in_2(X2))
        & pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
        & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
        & pred_attacker(tuple_client_A_in_4(X3))
        & pred_attacker(tuple_client_A_in_6(X1))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
        & pred_attacker(tuple_client_A_in_8(X4))
        & pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) )
     => pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax186) ).

fof(f189,axiom,
    ! [X0,X1,X2,X3] :
      ( pred_attacker(tuple_server_S_in_1(X1,X2,X3))
     => pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_66(X0),constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs),name_Kas))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax188) ).

fof(f190,conjecture,
    pred_attacker(tuple_2(name_objective1,name_objective2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(f191,negated_conjecture,
    ~ pred_attacker(tuple_2(name_objective1,name_objective2)),
    inference(negated_conjecture,[status(cth)],[f190]) ).

fof(f192,plain,
    ~ pred_attacker(tuple_2(name_objective1,name_objective2)),
    inference(flattening,[],[f191]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_server_S_out_2(X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f204,plain,
    ! [X0,X1,X2] :
      ( ~ pred_attacker(X2)
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f205,plain,
    ! [X0,X1,X2] :
      ( ~ pred_attacker(X2)
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
    inference(flattening,[],[f204]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_dec(X0,X1)) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_dec(X0,X1)) ),
    inference(flattening,[],[f211]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_1(X0)) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f220,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_A_out_9(X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f228,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_A_out_10(X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_8(X0)) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f238,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_4(X0)) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_2(X0)) ),
    inference(ennf_transformation,[],[f141]) ).

fof(f259,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(constr_cbc_4_get_2_prefixes(X0)) ),
    inference(ennf_transformation,[],[f152]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(tuple_2(X0,X1)) ),
    inference(ennf_transformation,[],[f171]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(tuple_2(X0,X1)) ),
    inference(flattening,[],[f275]) ).

fof(f289,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_4(X3))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_8(X4))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
      | pred_attacker(tuple_client_A_out_9(name_objective1)) ),
    inference(ennf_transformation,[],[f186]) ).

fof(f290,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_4(X3))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_8(X4))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
      | pred_attacker(tuple_client_A_out_9(name_objective1)) ),
    inference(flattening,[],[f289]) ).

fof(f291,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_4(X3))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_8(X4))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
      | pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))) ),
    inference(ennf_transformation,[],[f187]) ).

fof(f292,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_4(X3))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_8(X4))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
      | pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))) ),
    inference(flattening,[],[f291]) ).

fof(f295,plain,
    ! [X0,X1,X2,X3] :
      ( ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3))
      | pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_66(X0),constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs),name_Kas))) ),
    inference(ennf_transformation,[],[f189]) ).

fof(f376,plain,
    ! [X2,X0,X1] : constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X0),X0) = tuple_2(X1,X2),
    inference(cnf_transformation,[],[f81]) ).

fof(f379,plain,
    ! [X2,X3,X0,X1,X4] : constr_cbc_enc_2(X1,X2,X0) = constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)),
    inference(cnf_transformation,[],[f84]) ).

fof(f384,plain,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f89]) ).

fof(f387,plain,
    ! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
    inference(cnf_transformation,[],[f92]) ).

fof(f391,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f96]) ).

fof(f398,plain,
    pred_attacker(tuple_true),
    inference(cnf_transformation,[],[f103]) ).

fof(f402,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_server_S_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f403,plain,
    ! [X2,X0,X1] :
      ( ~ pred_attacker(X2)
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_dec(X0,X1)) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_1(X0)) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f417,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_A_out_9(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f425,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_A_out_10(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f430,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_8(X0)) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f432,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f434,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_4(X0)) ),
    inference(cnf_transformation,[],[f238]) ).

fof(f436,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_A_in_2(X0)) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f447,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(constr_cbc_4_get_2_prefixes(X0)) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f452,plain,
    pred_attacker(constr_CONST_4),
    inference(cnf_transformation,[],[f157]) ).

fof(f466,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(tuple_2(X0,X1)) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f480,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_4(X3))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_8(X4))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
      | pred_attacker(tuple_client_A_out_9(name_objective1)) ),
    inference(cnf_transformation,[],[f290]) ).

fof(f481,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_4(X3))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_8(X4))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))
      | pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f483,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3))
      | pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_66(X0),constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs),name_Kas))) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f484,plain,
    ~ pred_attacker(tuple_2(name_objective1,name_objective2)),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_129,plain,
    ! [X0: $i,X1: $i,X2: $i] : constr_cbc_dec_2(constr_cbc_enc_2(X0,X1,X2),X2) = tuple_2(X0,X1),
    inference(cnf_transformation,[],[f376]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X0,X1,X2,X3,X4)) = constr_cbc_enc_2(X0,X1,X4),
    inference(cnf_transformation,[],[f379]) ).

tcf(c_137,plain,
    ! [X0: $i,X1: $i] : constr_dec(constr_enc(X0,X1),X1) = X0,
    inference(cnf_transformation,[],[f384]) ).

tcf(c_140,plain,
    ! [X0: $i,X1: $i] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
    inference(cnf_transformation,[],[f387]) ).

tcf(c_144,plain,
    ! [X0: $i,X1: $i] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f391]) ).

tcf(c_151,plain,
    pred_attacker(tuple_true),
    inference(cnf_transformation,[],[f398]) ).

tcf(c_155,plain,
    ! [X0: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_server_S_out_2(X0)) ),
    inference(cnf_transformation,[],[f402]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( pred_attacker(tuple_server_S_in_1(X2,X0,X1))
      | ~ pred_attacker(X2)
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f403]) ).

tcf(c_162,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(constr_dec(X1,X0))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f409]) ).

tcf(c_167,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f414]) ).

tcf(c_170,plain,
    ! [X0: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_A_out_9(X0)) ),
    inference(cnf_transformation,[],[f417]) ).

tcf(c_178,plain,
    ! [X0: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_A_out_10(X0)) ),
    inference(cnf_transformation,[],[f425]) ).

tcf(c_183,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_A_in_8(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f430]) ).

tcf(c_185,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_A_in_6(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f432]) ).

tcf(c_187,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_A_in_4(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f434]) ).

tcf(c_189,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_A_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f436]) ).

tcf(c_200,plain,
    ! [X0: $i] :
      ( pred_attacker(constr_cbc_4_get_2_prefixes(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f447]) ).

tcf(c_205,plain,
    pred_attacker(constr_CONST_4),
    inference(cnf_transformation,[],[f452]) ).

tcf(c_219,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(tuple_2(X1,X0))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f466]) ).

tcf(c_233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( pred_attacker(tuple_client_A_out_9(name_objective1))
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_4(X0))
      | ~ pred_attacker(tuple_client_A_in_6(X4))
      | ~ pred_attacker(tuple_client_A_in_8(X3))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_Na(X2),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X0,X1,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))) ),
    inference(cnf_transformation,[],[f480]) ).

tcf(c_234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))))
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_4(X0))
      | ~ pred_attacker(tuple_client_A_in_6(X4))
      | ~ pred_attacker(tuple_client_A_in_8(X3))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_Na(X2),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X0,X1,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))) ),
    inference(cnf_transformation,[],[f481]) ).

tcf(c_236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X2,X1,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X0,name_Kbs),name_Kas)))
      | ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f483]) ).

tcf(c_237,negated_conjecture,
    ~ pred_attacker(tuple_2(name_objective1,name_objective2)),
    inference(cnf_transformation,[],[f484]) ).

tcf(c_376,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_A_in_4(X0))
      | ~ pred_attacker(X0) ),
    inference(prop_impl_just,[status(thm)],[c_187]) ).

tcf(c_723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( pred_attacker(tuple_client_A_out_9(name_objective1))
      | ~ pred_attacker(X0)
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_6(X4))
      | ~ pred_attacker(tuple_client_A_in_8(X3))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_Na(X2),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X0,X1,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))) ),
    inference(bin_hyper_res,[status(thm)],[c_233,c_376]) ).

tcf(c_724,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))))
      | ~ pred_attacker(X0)
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_6(X4))
      | ~ pred_attacker(tuple_client_A_in_8(X3))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_Na(X2),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X0,X1,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas)))) ),
    inference(bin_hyper_res,[status(thm)],[c_234,c_376]) ).

tcf(c_755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( pred_attacker(tuple_client_A_out_9(name_objective1))
      | ~ pred_attacker(X4)
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_6(X2))
      | ~ pred_attacker(tuple_client_A_in_8(X3))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_723,c_144]) ).

tcf(c_756,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X2,name_Kas)))))
      | ~ pred_attacker(X4)
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_6(X2))
      | ~ pred_attacker(tuple_client_A_in_8(X3))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X2,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_724,c_144]) ).

tcf(c_1367,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_client_A_out_9(name_objective1))
      | ~ pred_attacker(X3)
      | ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_attacker(tuple_client_A_in_8(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_755,c_144,c_144,c_144]) ).

tcf(c_1392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
      | ~ pred_attacker(X3)
      | ~ pred_attacker(tuple_client_A_in_2(X2))
      | ~ pred_attacker(tuple_client_A_in_6(X1))
      | ~ pred_attacker(tuple_client_A_in_8(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_756,c_144,c_144,c_144]) ).

tcf(c_1876,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_A_in_8(X0))
      | ~ pred_attacker(X0) ),
    inference(prop_impl_just,[status(thm)],[c_183]) ).

tcf(c_2229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_client_A_out_9(name_objective1))
      | ~ pred_attacker(X3)
      | ~ pred_attacker(X2)
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(bin_hyper_res,[status(thm)],[c_1367,c_1876]) ).

tcf(c_2230,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas)))))
      | ~ pred_attacker(X3)
      | ~ pred_attacker(X2)
      | ~ pred_attacker(tuple_client_A_in_2(X1))
      | ~ pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(bin_hyper_res,[status(thm)],[c_1392,c_1876]) ).

tcf(c_3243,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ pred_attacker(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_2230]) ).

tcf(c_3244,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ pred_attacker(tuple_client_A_in_2(X0)) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_2230]) ).

tcf(c_3245,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas)))))
      | ~ pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_2230]) ).

tcf(c_3246,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2230]) ).

tcf(c_3247,plain,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_2229]) ).

tcf(c_3248,plain,
    ( iPr_def_13
    | iPr_def_11
    | iPr_def_10
    | pred_attacker(tuple_client_A_out_9(name_objective1)) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2229]) ).

tcf(c_3249,definition,
    iPr_def_14 = tuple_2(name_objective1,name_objective2),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_3250,negated_conjecture,
    ~ pred_attacker(iPr_def_14),
    inference(demodulation,[status(thm)],[c_237,c_3249]) ).

tcf(c_5984,plain,
    ~ iPr_def_10,
    inference(superposition,[status(thm)],[c_151,c_3243]) ).

tcf(c_6000,plain,
    ( iPr_def_12
    | iPr_def_11 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3246,c_5984]) ).

tcf(c_6212,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ pred_attacker(X0) ),
    inference(superposition,[status(thm)],[c_189,c_3244]) ).

tcf(c_6249,plain,
    ~ iPr_def_11,
    inference(superposition,[status(thm)],[c_205,c_6212]) ).

tcf(c_6264,plain,
    iPr_def_12,
    inference(backward_subsumption_resolution,[status(thm)],[c_6000,c_6249]) ).

tcf(c_6288,plain,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ pred_attacker(X0) ),
    inference(superposition,[status(thm)],[c_185,c_3247]) ).

tcf(c_6325,plain,
    ~ iPr_def_13,
    inference(superposition,[status(thm)],[c_205,c_6288]) ).

tcf(c_6340,plain,
    pred_attacker(tuple_client_A_out_9(name_objective1)),
    inference(global_subsumption_just,[status(thm)],[c_3248,c_3248,c_5984,c_6249,c_6325]) ).

tcf(c_6342,plain,
    pred_attacker(name_objective1),
    inference(superposition,[status(thm)],[c_6340,c_170]) ).

tcf(c_6457,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(X1)
      | ~ pred_attacker(constr_enc(X0,X1)) ),
    inference(superposition,[status(thm)],[c_137,c_162]) ).

tcf(c_6505,plain,
    ( pred_attacker(iPr_def_14)
    | ~ pred_attacker(name_objective2)
    | ~ pred_attacker(name_objective1) ),
    inference(superposition,[status(thm)],[c_3249,c_219]) ).

tcf(c_6508,plain,
    ~ pred_attacker(name_objective2),
    inference(forward_subsumption_resolution,[status(thm)],[c_6505,c_3250,c_6342]) ).

tcf(c_6688,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( pred_attacker(constr_cbc_enc_2(X0,X1,X4))
      | ~ pred_attacker(constr_cbc_enc_4(X0,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_132,c_200]) ).

tcf(c_6783,plain,
    ! [X0: $i] :
      ( ~ pred_attacker(tuple_client_A_in_6(X0))
      | pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))))) ),
    inference(global_subsumption_just,[status(thm)],[c_3245,c_3245,c_6264]) ).

tcf(c_6784,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas)))))
      | ~ pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(renaming,[status(thm)],[c_6783]) ).

tcf(c_6790,plain,
    ! [X0: $i] :
      ( pred_attacker(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))))
      | ~ pred_attacker(tuple_client_A_in_6(X0)) ),
    inference(superposition,[status(thm)],[c_6784,c_178]) ).

tcf(c_6803,plain,
    ! [X0: $i] :
      ( pred_attacker(name_objective2)
      | ~ pred_attacker(tuple_client_A_in_6(X0))
      | ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))) ),
    inference(superposition,[status(thm)],[c_6790,c_6457]) ).

tcf(c_6804,plain,
    ! [X0: $i] :
      ( ~ pred_attacker(tuple_client_A_in_6(X0))
      | ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6803,c_6508]) ).

tcf(c_6817,plain,
    ! [X0: $i,X1: $i] :
      ( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)))
      | ~ pred_attacker(tuple_client_A_in_6(constr_cbc_enc_2(X0,X1,name_Kas))) ),
    inference(superposition,[status(thm)],[c_129,c_6804]) ).

tcf(c_6820,plain,
    ! [X0: $i,X1: $i] :
      ( ~ pred_attacker(X0)
      | ~ pred_attacker(tuple_client_A_in_6(constr_cbc_enc_2(X0,X1,name_Kas))) ),
    inference(light_normalisation,[status(thm)],[c_6817,c_140]) ).

tcf(c_6842,plain,
    ! [X0: $i,X1: $i] :
      ( ~ pred_attacker(X0)
      | ~ pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas)) ),
    inference(superposition,[status(thm)],[c_185,c_6820]) ).

tcf(c_6933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(constr_cbc_enc_4(X2,X1,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X0,name_Kbs),name_Kas))
      | ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_236,c_155]) ).

tcf(c_7232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( pred_attacker(constr_cbc_enc_2(X2,X1,name_Kas))
      | ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_6933,c_6688]) ).

tcf(c_7264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( pred_attacker(constr_cbc_enc_2(X1,X0,name_Kas))
      | ~ pred_attacker(X2)
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(superposition,[status(thm)],[c_156,c_7232]) ).

tcf(c_7473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ pred_attacker(X2)
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7264,c_6842]) ).

tcf(c_7485,plain,
    ! [X0: $i,X1: $i] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_219,c_7473]) ).

tcf(c_7594,plain,
    ! [X0: $i] : ~ pred_attacker(X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_167,c_7485]) ).

tcf(c_7675,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_151,c_7594]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW968+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n006.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Thu Sep 24 23:17:11 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40  Running first-order theorem proving
% 0.08/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42  
% 0.08/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42  
% 0.08/0.42  % Detected problem language: tptp
% 0.08/0.43  % Proving...
% 1.59/1.29  % SZS status Started for theBenchmark.p
% 1.59/1.29  % SZS status Theorem for theBenchmark.p
% 1.59/1.29  
% 1.59/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.59/1.29  
% 1.59/1.29  % ------  iProver source info
% 1.59/1.29  
% 1.59/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 1.59/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.59/1.29  % git: non_committed_changes: false
% 1.59/1.29  
% 1.59/1.29  % ------ Parsing...
% 1.59/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.59/1.29  
% 1.59/1.29  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 1.59/1.29  
% 1.59/1.29  % ------ Preprocessing... gs_s  sp: 8 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.59/1.29  
% 1.59/1.29  % ------ Preprocessing... sf_s  rm: 2 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.59/1.29  % ------ Proving...
% 1.59/1.29  % ------ Problem Properties 
% 1.59/1.29  
% 1.59/1.29  % 
% 1.59/1.29  % clauses                               191
% 1.59/1.29  % conjectures                           1
% 1.59/1.29  % EPR                                   92
% 1.59/1.29  % Horn                                  189
% 1.59/1.29  % unary                                 110
% 1.59/1.29  % binary                                61
% 1.59/1.29  % lits                                  305
% 1.59/1.29  % lits eq                               96
% 1.59/1.29  % fd_pure                               0
% 1.59/1.29  % fd_pseudo                             0
% 1.59/1.29  % fd_cond                               0
% 1.59/1.29  % fd_pseudo_cond                        0
% 1.59/1.29  % AC symbols                            0
% 1.59/1.29  
% 1.59/1.29  % ------ Schedule dynamic 5 is on 
% 1.59/1.29  
% 1.59/1.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.59/1.29  
% 1.59/1.29  
% 1.59/1.29  % ------ 
% 1.59/1.29  % Current options:
% 1.59/1.29  % ------ 
% 1.59/1.29  
% 1.59/1.29  
% 1.59/1.29  % 
% 1.59/1.29  
% 1.59/1.29  % ------ Proving...
% 1.59/1.29  % 
% 1.59/1.29  
% 1.59/1.29  % SZS status Theorem for theBenchmark.p
% 1.59/1.29  
% 1.59/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.59/1.29  
% 1.59/1.29  
%------------------------------------------------------------------------------