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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV328-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n017.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 03:17:18 PM UTC 2026

% Result   : Unsatisfiable 1.59s 1.28s
% Output   : CNFRefutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   44 (  25 unt;   9 def)
%            Number of atoms       :  140 (   9 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :   59 (  28   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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  :   12 (  10 usr;  10 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn  32   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f2,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f3,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f4,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth__eq_0) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,X1,X3)
      | c_in(X0,X2,X3)
      | ~ c_in(X0,c_union(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

tcf(c_57,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_58,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_59,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_60,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,X2,X3)
      | c_in(X0,X1,X3)
      | ~ c_in(X0,c_union(X1,X2,X3),X3) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_99,definition,
    iPr_def_10 = c_Message_Omsg_ONonce(v_NB),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_100,definition,
    iPr_def_11 = c_Message_Omsg_OCrypt(v_K,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_101,definition,
    iPr_def_12 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_102,definition,
    iPr_def_13 = c_Message_Oparts(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_103,definition,
    iPr_def_14 = c_insert(v_X,iPr_def_12,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_104,definition,
    iPr_def_15 = c_Message_Oparts(iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_105,definition,
    iPr_def_16 = c_Message_Omsg_OKey(v_K),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_106,definition,
    iPr_def_17 = c_Message_Oanalz(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_107,definition,
    iPr_def_18 = c_Message_Osynth(iPr_def_17),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_108,negated_conjecture,
    ~ c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_60,c_101,c_102,c_99,c_100]) ).

tcf(c_109,negated_conjecture,
    c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_59,c_103,c_104]) ).

tcf(c_110,negated_conjecture,
    ~ c_in(iPr_def_16,iPr_def_17,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_58,c_106,c_105]) ).

tcf(c_111,negated_conjecture,
    c_in(v_X,iPr_def_18,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_57,c_107]) ).

tcf(c_368,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Message_Oparts(iPr_def_12),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_17,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_106,c_63]) ).

tcf(c_369,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_13,tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_17,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_368,c_102]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OKey(v_K),X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(v_K,iPr_def_10),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_100,c_61]) ).

tcf(c_391,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_16,X0,tc_Message_Omsg)
      | c_in(iPr_def_11,X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_389,c_100,c_105]) ).

tcf(c_406,plain,
    ( c_in(iPr_def_16,iPr_def_17,tc_Message_Omsg)
    | c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg)
    | ~ c_in(iPr_def_11,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_107,c_391]) ).

tcf(c_407,plain,
    ( c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg)
    | ~ c_in(iPr_def_11,iPr_def_18,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_406,c_110]) ).

tcf(c_429,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),c_Message_Oparts(iPr_def_12),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(iPr_def_14),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_103,c_62]) ).

tcf(c_430,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(iPr_def_18,iPr_def_13,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(v_X,iPr_def_18,tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_15,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_429,c_102,c_104,c_106,c_107]) ).

tcf(c_431,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(iPr_def_18,iPr_def_13,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_15,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_430,c_111]) ).

tcf(c_439,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_18,tc_Message_Omsg)
      | c_in(X0,iPr_def_13,tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_15,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_431,c_64]) ).

tcf(c_450,plain,
    ( c_in(iPr_def_11,iPr_def_18,tc_Message_Omsg)
    | c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_109,c_439]) ).

tcf(c_451,plain,
    c_in(iPr_def_11,iPr_def_18,tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_450,c_108]) ).

tcf(c_452,plain,
    c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg),
    inference(backward_subsumption_resolution,[status(thm)],[c_407,c_451]) ).

tcf(c_453,plain,
    c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_452,c_369]) ).

tcf(c_454,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_453,c_108]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV328-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n017.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Thu Sep 24 19:10:03 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 1.59/1.28  % SZS status Started for theBenchmark.p
% 1.59/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.28  
% 1.59/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.59/1.28  
% 1.59/1.28  % ------  iProver source info
% 1.59/1.28  
% 1.59/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 1.59/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.59/1.28  % git: non_committed_changes: false
% 1.59/1.28  
% 1.59/1.28  % ------ Parsing...% successful
% 1.59/1.28  
% 1.59/1.28  
% 1.59/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.59/1.28  
% 1.59/1.28  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.59/1.28  
% 1.59/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.59/1.28  
% 1.59/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.59/1.28  % ------ Proving...
% 1.59/1.28  % ------ Problem Properties 
% 1.59/1.28  
% 1.59/1.28  % 
% 1.59/1.28  % clauses                               17
% 1.59/1.28  % conjectures                           4
% 1.59/1.28  % EPR                                   4
% 1.59/1.28  % Horn                                  15
% 1.59/1.28  % unary                                 13
% 1.59/1.28  % binary                                1
% 1.59/1.28  % lits                                  24
% 1.59/1.28  % lits eq                               9
% 1.59/1.28  % fd_pure                               0
% 1.59/1.28  % fd_pseudo                             0
% 1.59/1.28  % fd_cond                               0
% 1.59/1.28  % fd_pseudo_cond                        0
% 1.59/1.28  % AC symbols                            0
% 1.59/1.28  
% 1.59/1.28  % ------ Schedule dynamic 5 is on 
% 1.59/1.28  
% 1.59/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.59/1.28  
% 1.59/1.28  
% 1.59/1.28  % ------ 
% 1.59/1.28  % Current options:
% 1.59/1.28  % ------ 
% 1.59/1.28  
% 1.59/1.28  
% 1.59/1.28  % 
% 1.59/1.28  
% 1.59/1.28  % ------ Proving...
% 1.59/1.28  % 
% 1.59/1.28  
% 1.59/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.28  
% 1.59/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.59/1.28  
% 1.59/1.28  
%------------------------------------------------------------------------------