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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWW965+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 : n015.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 3.39s 1.28s
% Output   : CNFRefutation 3.39s
% 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(f104,axiom,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).

fof(f132,axiom,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_6(X0))
     => pred_attacker(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).

fof(f138,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_5(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).

fof(f140,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_3(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).

fof(f142,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).

fof(f172,axiom,
    pred_attacker(name_A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).

fof(f185,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_tuple_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/sandbox/benchmark/theBenchmark.p',ax184) ).

fof(f188,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(f189,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[status(cth)],[f188]) ).

fof(f190,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f189]) ).

fof(f223,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f230,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f268,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_tuple_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,[],[f185]) ).

fof(f269,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_tuple_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,[],[f268]) ).

fof(f377,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f104]) ).

fof(f405,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f223]) ).

fof(f411,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f413,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f445,plain,
    pred_attacker(name_A),
    inference(cnf_transformation,[],[f172]) ).

fof(f457,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_tuple_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,[],[f269]) ).

fof(f460,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_152,plain,
    ! [X0: $i,X1: $i] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f377]) ).

tcf(c_180,plain,
    ! [X0: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_6(X0)) ),
    inference(cnf_transformation,[],[f405]) ).

tcf(c_186,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f411]) ).

tcf(c_188,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f413]) ).

tcf(c_190,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f415]) ).

tcf(c_220,plain,
    pred_attacker(name_A),
    inference(cnf_transformation,[],[f445]) ).

tcf(c_232,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_tuple_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,[],[f457]) ).

tcf(c_235,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f460]) ).

tcf(c_243,plain,
    ( pred_attacker(tuple_client_B_in_3(name_A))
    | ~ pred_attacker(name_A) ),
    inference(instantiation,[status(thm)],[c_188]) ).

tcf(c_244,plain,
    ( pred_attacker(tuple_client_B_in_5(name_A))
    | ~ pred_attacker(name_A) ),
    inference(instantiation,[status(thm)],[c_186]) ).

tcf(c_323,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(prop_impl_just,[status(thm)],[c_190]) ).

tcf(c_634,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_tuple_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_232,c_323]) ).

tcf(c_668,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_tuple_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_634,c_152]) ).

tcf(c_1203,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_668,c_152,c_152]) ).

tcf(c_1204,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_1203]) ).

tcf(c_1205,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(global_subsumption_just,[status(thm)],[c_1203,c_220,c_243,c_244,c_1204]) ).

tcf(c_2780,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(demodulation,[status(thm)],[c_235]) ).

tcf(c_5091,plain,
    pred_attacker(name_objective),
    inference(superposition,[status(thm)],[c_1205,c_180]) ).

tcf(c_5092,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5091,c_2780]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW965+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n015.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 23:20:41 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 3.39/1.28  % SZS status Started for theBenchmark.p
% 3.39/1.28  % SZS status Theorem for theBenchmark.p
% 3.39/1.28  
% 3.39/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.39/1.28  
% 3.39/1.28  % ------  iProver source info
% 3.39/1.28  
% 3.39/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 3.39/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.39/1.28  % git: non_committed_changes: false
% 3.39/1.28  
% 3.39/1.28  % ------ Parsing...
% 3.39/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.39/1.28  
% 3.39/1.28  % ------ 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 % 
% 3.39/1.28  
% 3.39/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.39/1.28  
% 3.39/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.39/1.28  % ------ Proving...
% 3.39/1.28  % ------ Problem Properties 
% 3.39/1.28  
% 3.39/1.28  % 
% 3.39/1.28  % clauses                               184
% 3.39/1.28  % conjectures                           1
% 3.39/1.28  % EPR                                   104
% 3.39/1.28  % Horn                                  183
% 3.39/1.28  % unary                                 125
% 3.39/1.28  % binary                                43
% 3.39/1.28  % lits                                  260
% 3.39/1.28  % lits eq                               105
% 3.39/1.28  % fd_pure                               0
% 3.39/1.28  % fd_pseudo                             0
% 3.39/1.28  % fd_cond                               1
% 3.39/1.28  % fd_pseudo_cond                        0
% 3.39/1.28  % AC symbols                            1
% 3.39/1.28  
% 3.39/1.28  % ------ Schedule dynamic 5 is on 
% 3.39/1.28  
% 3.39/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.39/1.28  
% 3.39/1.28  
% 3.39/1.28  % ------ 
% 3.39/1.28  % Current options:
% 3.39/1.28  % ------ 
% 3.39/1.28  
% 3.39/1.28  
% 3.39/1.28  % 
% 3.39/1.28  
% 3.39/1.28  % ------ Proving...
% 3.39/1.28  % 
% 3.39/1.28  
% 3.39/1.28  % SZS status Theorem for theBenchmark.p
% 3.39/1.28  
% 3.39/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.28  
% 3.39/1.28  
%------------------------------------------------------------------------------