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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWW961+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n014.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 03:30:35 PM UTC 2026

% Result   : Theorem 3.31s 1.28s
% Output   : CNFRefutation 3.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   43 (  15 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  127 (  61   ~;  56   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :   54 (   0 sgn  54   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f90,axiom,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).

fof(f115,axiom,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_6(X0))
     => pred_attacker(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).

fof(f121,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_5(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).

fof(f123,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_3(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).

fof(f125,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).

fof(f161,axiom,
    pred_attacker(name_A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax160) ).

fof(f174,axiom,
    ! [X0,X1,X2,X3] :
      ( ( pred_attacker(tuple_client_B_in_2(X3))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X1))
        & pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X1,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X2))
        & pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).

fof(f177,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

fof(f178,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[status(cth)],[f177]) ).

fof(f179,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f178]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f219,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f261,plain,
    ! [X0,X1,X2,X3] :
      ( ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(ennf_transformation,[],[f174]) ).

fof(f262,plain,
    ! [X0,X1,X2,X3] :
      ( ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(flattening,[],[f261]) ).

fof(f356,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f90]) ).

fof(f381,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f387,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f391,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f427,plain,
    pred_attacker(name_A),
    inference(cnf_transformation,[],[f161]) ).

fof(f439,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f442,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_138,plain,
    ! [X0: $i,X1: $i] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f356]) ).

tcf(c_163,plain,
    ! [X0: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_6(X0)) ),
    inference(cnf_transformation,[],[f381]) ).

tcf(c_169,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f387]) ).

tcf(c_171,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f389]) ).

tcf(c_173,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f391]) ).

tcf(c_209,plain,
    pred_attacker(name_A),
    inference(cnf_transformation,[],[f427]) ).

tcf(c_221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(tuple_client_B_in_3(X3))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X3,name_skB)))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS)))) ),
    inference(cnf_transformation,[],[f439]) ).

tcf(c_224,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f442]) ).

tcf(c_236,plain,
    ( pred_attacker(tuple_client_B_in_3(name_A))
    | ~ pred_attacker(name_A) ),
    inference(instantiation,[status(thm)],[c_171]) ).

tcf(c_237,plain,
    ( pred_attacker(tuple_client_B_in_5(name_A))
    | ~ pred_attacker(name_A) ),
    inference(instantiation,[status(thm)],[c_169]) ).

tcf(c_312,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(prop_impl_just,[status(thm)],[c_173]) ).

tcf(c_628,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_in_3(X3))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X3,name_skB)))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS)))) ),
    inference(bin_hyper_res,[status(thm)],[c_221,c_312]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(X3)
      | ~ pred_attacker(tuple_client_B_in_3(X2))
      | ~ pred_attacker(tuple_client_B_in_5(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X2,name_skB)))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X1,name_skB)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_628,c_138]) ).

tcf(c_1183,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(X2)
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_657,c_138,c_138]) ).

tcf(c_1184,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(name_A)
    | ~ pred_attacker(tuple_client_B_in_3(name_A))
    | ~ pred_attacker(tuple_client_B_in_5(name_A)) ),
    inference(instantiation,[status(thm)],[c_1183]) ).

tcf(c_1185,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(global_subsumption_just,[status(thm)],[c_1183,c_209,c_236,c_237,c_1184]) ).

tcf(c_2785,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(demodulation,[status(thm)],[c_224]) ).

tcf(c_5082,plain,
    pred_attacker(name_objective),
    inference(superposition,[status(thm)],[c_1185,c_163]) ).

tcf(c_5083,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5082,c_2785]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW961+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.36  % Computer : n014.cluster.edu
% 0.03/0.36  % Model    : x86_64 x86_64
% 0.03/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.36  % Memory   : 8046.5625MB
% 0.03/0.36  % OS       : Linux 6.8.0-71-generic
% 0.03/0.36  % CPULimit : 300
% 0.03/0.36  % WCLimit  : 300
% 0.03/0.36  % DateTime : Thu Sep 24 23:16:32 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.40  Running first-order theorem proving
% 0.03/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.41  
% 0.03/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41  
% 0.03/0.41  % Detected problem language: tptp
% 0.03/0.43  % Proving...
% 3.31/1.28  % SZS status Started for theBenchmark.p
% 3.31/1.28  % SZS status Theorem for theBenchmark.p
% 3.31/1.28  
% 3.31/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.31/1.28  
% 3.31/1.28  % ------  iProver source info
% 3.31/1.28  
% 3.31/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 3.31/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.31/1.28  % git: non_committed_changes: false
% 3.31/1.28  
% 3.31/1.28  % ------ Parsing...
% 3.31/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.31/1.28  
% 3.31/1.28  % ------ 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 % 
% 3.31/1.28  
% 3.31/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.31/1.28  
% 3.31/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.31/1.28  % ------ Proving...
% 3.31/1.28  % ------ Problem Properties 
% 3.31/1.28  
% 3.31/1.28  % 
% 3.31/1.28  % clauses                               173
% 3.31/1.28  % conjectures                           1
% 3.31/1.28  % EPR                                   90
% 3.31/1.28  % Horn                                  172
% 3.31/1.28  % unary                                 110
% 3.31/1.28  % binary                                47
% 3.31/1.28  % lits                                  253
% 3.31/1.28  % lits eq                               91
% 3.31/1.28  % fd_pure                               0
% 3.31/1.28  % fd_pseudo                             0
% 3.31/1.28  % fd_cond                               1
% 3.31/1.28  % fd_pseudo_cond                        0
% 3.31/1.28  % AC symbols                            0
% 3.31/1.28  
% 3.31/1.28  % ------ Schedule dynamic 5 is on 
% 3.31/1.28  
% 3.31/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.31/1.28  
% 3.31/1.28  
% 3.31/1.28  % ------ 
% 3.31/1.28  % Current options:
% 3.31/1.28  % ------ 
% 3.31/1.28  
% 3.31/1.28  
% 3.31/1.28  % 
% 3.31/1.28  
% 3.31/1.28  % ------ Proving...
% 3.31/1.28  % 
% 3.31/1.28  
% 3.31/1.28  % SZS status Theorem for theBenchmark.p
% 3.31/1.28  
% 3.31/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/1.28  
% 3.31/1.28  
%------------------------------------------------------------------------------