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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV755-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.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 03:24:08 PM UTC 2026

% Result   : Unsatisfiable 111.56s 29.60s
% Output   : CNFRefutation 111.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   77 (  32 unt;   0 def)
%            Number of atoms       :  147 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  135 (  65   ~;  70   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  16 con; 0-3 aty)
%            Number of variables   :  106 (   0 sgn 106   !;   0   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
      | X2 = X1
      | hBOOL(hAPP(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).

fof(f54,plain,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
      | X1 = X2
      | hBOOL(hAPP(X0,X1)) ),
    inference(reorient_equations,[],[f53]) ).

fof(f147,axiom,
    ! [X2,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).

fof(f226,axiom,
    ! [X2,X0,X1] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).

fof(f234,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).

fof(f252,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).

fof(f288,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(c_in(X0,X2,X3))
      | hBOOL(c_in(X0,c_Set_Oinsert(X1,X2,X3),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).

fof(f296,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2))
      | hBOOL(c_in(X0,X3,X2))
      | hBOOL(c_in(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).

fof(f444,axiom,
    ! [X2,X3,X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).

fof(f517,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 = X3
      | c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).

fof(f563,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X1,X0))
      | hBOOL(c_in(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f564,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(X1,X0,X2))
      | hBOOL(hAPP(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f576,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).

fof(f585,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg))
      | hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
      | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).

fof(f589,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg))
      | hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).

fof(f605,axiom,
    ! [X0,X1] :
      ( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).

fof(f607,negated_conjecture,
    hBOOL(c_in(v_Xa,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(f608,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f609,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f610,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f611,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f612,negated_conjecture,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(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))
    | hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

tcf(c_650,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(hAPP(X1,X3))
      | ( X0 = X3 )
      | ~ hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3)) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_726,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_792,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2) = c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_799,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_815,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_844,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X0,c_Set_Oinsert(X3,X1,X2),X2))
      | ~ hBOOL(c_in(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f288]) ).

tcf(c_852,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X0,X2,X3))
      | hBOOL(c_in(X0,X1,X3))
      | ~ hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)) ),
    inference(cnf_transformation,[],[f296]) ).

tcf(c_981,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
    inference(cnf_transformation,[],[f444]) ).

tcf(c_1046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X0 = X3 )
      | ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5) ) ),
    inference(cnf_transformation,[],[f517]) ).

tcf(c_1088,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X1,X0,X2))
      | ~ hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f563]) ).

tcf(c_1089,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(hAPP(X1,X0))
      | ~ hBOOL(c_in(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f564]) ).

tcf(c_1100,plain,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    inference(cnf_transformation,[],[f576]) ).

tcf(c_1108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg))
      | hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f585]) ).

tcf(c_1111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
      | hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f589]) ).

tcf(c_1125,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
      | ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f605]) ).

tcf(c_1127,negated_conjecture,
    hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
    inference(cnf_transformation,[],[f607]) ).

tcf(c_1128,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
    inference(cnf_transformation,[],[f608]) ).

tcf(c_1129,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(cnf_transformation,[],[f609]) ).

tcf(c_1130,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
    inference(cnf_transformation,[],[f610]) ).

tcf(c_1131,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(cnf_transformation,[],[f611]) ).

tcf(c_1132,negated_conjecture,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(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))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(cnf_transformation,[],[f612]) ).

tcf(c_5065,plain,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
    inference(demodulation,[status(thm)],[c_1128,c_981]) ).

tcf(c_5066,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
    inference(demodulation,[status(thm)],[c_1130,c_981]) ).

tcf(c_5221,plain,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(demodulation,[status(thm)],[c_1131,c_792]) ).

tcf(c_5538,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(demodulation,[status(thm)],[c_1129,c_792]) ).

tcf(c_5603,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
    inference(demodulation,[status(thm)],[c_815,c_726]) ).

tcf(c_18900,plain,
    ( hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(instantiation,[status(thm)],[c_844]) ).

tcf(c_20330,plain,
    ! [X0: $i] :
      ( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
      | ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
      | ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)) ),
    inference(instantiation,[status(thm)],[c_5603]) ).

tcf(c_20828,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(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(global_subsumption_just,[status(thm)],[c_1132,c_1132,c_5221,c_18900]) ).

tcf(c_20829,negated_conjecture,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(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))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(renaming,[status(thm)],[c_20828]) ).

tcf(c_20926,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(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))
    | ~ hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))) ),
    inference(superposition,[status(thm)],[c_1088,c_20829]) ).

tcf(c_22724,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(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(global_subsumption_just,[status(thm)],[c_1132,c_1132,c_5221,c_18900]) ).

tcf(c_22725,negated_conjecture,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(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))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(renaming,[status(thm)],[c_22724]) ).

tcf(c_22969,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(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))
    | ~ hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))) ),
    inference(resolution,[status(thm)],[c_22725,c_1088]) ).

tcf(c_23069,plain,
    hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))),
    inference(resolution,[status(thm)],[c_1089,c_5538]) ).

tcf(c_24450,plain,
    ( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)) ),
    inference(instantiation,[status(thm)],[c_20330]) ).

tcf(c_26750,plain,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_799,c_5065]) ).

tcf(c_26757,plain,
    ( ~ hBOOL(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))
    | ~ hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_20926,c_26750]) ).

tcf(c_35785,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg))
      | ~ hBOOL(hAPP(c_Message_Oanalz(X0),X1)) ),
    inference(resolution,[status(thm)],[c_1125,c_1088]) ).

tcf(c_45177,plain,
    ( hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))))
    | ( c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))) ) ),
    inference(resolution,[status(thm)],[c_650,c_23069]) ).

tcf(c_45742,plain,
    ( hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))))
    | ( c_Message_Oagent_OSpy = c_Message_Oagent_OServer ) ),
    inference(resolution,[status(thm)],[c_45177,c_1046]) ).

tcf(c_45871,plain,
    hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))),
    inference(global_subsumption_just,[status(thm)],[c_45742,c_1100,c_45742]) ).

tcf(c_45877,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(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(backward_subsumption_resolution,[status(thm)],[c_22969,c_45871]) ).

tcf(c_45878,plain,
    ~ hBOOL(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(global_subsumption_just,[status(thm)],[c_45877,c_1100,c_26757,c_45742]) ).

tcf(c_45886,plain,
    ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
    inference(resolution,[status(thm)],[c_45878,c_35785]) ).

tcf(c_138400,plain,
    ( hBOOL(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))
    | hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
    inference(instantiation,[status(thm)],[c_852]) ).

tcf(c_153288,plain,
    ( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_5603,c_5066]) ).

tcf(c_153304,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),
    inference(global_subsumption_just,[status(thm)],[c_153288,c_1127,c_5066,c_24450]) ).

tcf(c_153316,plain,
    ( hBOOL(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))
    | hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_153304,c_852]) ).

tcf(c_153330,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
    inference(global_subsumption_just,[status(thm)],[c_153316,c_1100,c_1127,c_5066,c_24450,c_26757,c_45742,c_138400]) ).

tcf(c_153344,plain,
    ( hBOOL(c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_153330,c_1111]) ).

tcf(c_153345,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_153330,c_1108]) ).

tcf(c_153621,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
    inference(global_subsumption_just,[status(thm)],[c_153344,c_26750,c_153345]) ).

tcf(c_153629,plain,
    hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
    inference(resolution,[status(thm)],[c_153621,c_1089]) ).

tcf(c_153630,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_153629,c_45886]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV755-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.20/0.66  % Computer : n011.cluster.edu
% 0.20/0.66  % Model    : x86_64 x86_64
% 0.20/0.66  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.66  % Memory   : 8046.5625MB
% 0.20/0.66  % OS       : Linux 6.8.0-71-generic
% 0.20/0.66  % CPULimit : 300
% 0.20/0.66  % WCLimit  : 300
% 0.20/0.66  % DateTime : Thu Sep 24 21:02:43 UTC 2026
% 0.20/0.67  % CPUTime  : 
% 0.20/0.67  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.25/0.73  Running first-order theorem proving
% 0.25/0.73  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
% 0.25/0.75  
% 0.25/0.75  % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.75  
% 0.25/0.75  % Detected problem language: tptp
% 0.25/0.77  % Proving...
% 111.56/29.60  % SZS status Started for theBenchmark.p
% 111.56/29.60  % SZS status Unsatisfiable for theBenchmark.p
% 111.56/29.60  
% 111.56/29.60  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 111.56/29.60  
% 111.56/29.60  % ------  iProver source info
% 111.56/29.60  
% 111.56/29.60  % git: date: 2026-07-19 20:42:38 +0200
% 111.56/29.60  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 111.56/29.60  % git: non_committed_changes: false
% 111.56/29.60  
% 111.56/29.60  % ------ Parsing...% successful
% 111.56/29.60  
% 111.56/29.60  
% 111.56/29.60  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 111.56/29.60  
% 111.56/29.60  % ------ Preprocessing... sup_sim: 20  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 111.56/29.60  
% 111.56/29.60  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 111.56/29.60  
% 111.56/29.60  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 111.56/29.60  % ------ Proving...
% 111.56/29.60  % ------ Problem Properties 
% 111.56/29.60  
% 111.56/29.60  % 
% 111.56/29.60  % clauses                               417
% 111.56/29.60  % conjectures                           3
% 111.56/29.60  % EPR                                   19
% 111.56/29.60  % Horn                                  373
% 111.56/29.60  % unary                                 158
% 111.56/29.60  % binary                                160
% 111.56/29.60  % lits                                  827
% 111.56/29.60  % lits eq                               211
% 111.56/29.60  % fd_pure                               0
% 111.56/29.60  % fd_pseudo                             0
% 111.56/29.60  % fd_cond                               5
% 111.56/29.60  % fd_pseudo_cond                        46
% 111.56/29.60  % AC symbols                            0
% 111.56/29.60  
% 111.56/29.60  % ------ Input Options Time Limit: Unbounded
% 111.56/29.60  
% 111.56/29.60  
% 111.56/29.60  % ------ 
% 111.56/29.60  % Current options:
% 111.56/29.60  % ------ 
% 111.56/29.60  
% 111.56/29.60  
% 111.56/29.60  % 
% 111.56/29.60  
% 111.56/29.60  % ------ Proving...
% 111.56/29.60  % 
% 111.56/29.60  
% 111.56/29.60  % SZS status Unsatisfiable for theBenchmark.p
% 111.56/29.60  
% 111.56/29.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 111.56/29.60  
% 111.56/29.60  
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