TSTP Solution File: SWV326-2 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV326-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:37:55 EDT 2023

% Result   : Unsatisfiable 0.16s 0.57s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   44 (  12 unt;  19 typ;   0 def)
%            Number of atoms       :   38 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  12   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   9   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :   16 (   4 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_23,type,
    c_Event_Oknows: ( $i * $i ) > $i ).

tff(decl_24,type,
    c_Message_Oparts: $i > $i ).

tff(decl_25,type,
    tc_Message_Omsg: $i ).

tff(decl_26,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(decl_27,type,
    c_Event_Oused: $i > $i ).

tff(decl_28,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(decl_29,type,
    c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(decl_30,type,
    v_NAa: $i ).

tff(decl_31,type,
    c_Message_Omsg_ONonce: $i > $i ).

tff(decl_32,type,
    v_evs1: $i ).

tff(decl_33,type,
    v_A: $i ).

tff(decl_34,type,
    c_Public_OshrK: $i > $i ).

tff(decl_35,type,
    v_NA: $i ).

tff(decl_36,type,
    c_Message_Omsg_OAgent: $i > $i ).

tff(decl_37,type,
    v_C: $i ).

tff(decl_38,type,
    v_Ba: $i ).

tff(decl_39,type,
    v_Aa: $i ).

tff(decl_40,type,
    v_B: $i ).

cnf(cls_Message_Oparts_OBody__dest_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

cnf(cls_conjecture_21,negated_conjecture,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | v_C = v_Ba ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_21) ).

cnf(cls_Message_OMPair__parts_1,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_5,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_32,negated_conjecture,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | v_Ba != v_C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_32) ).

cnf(cls_conjecture_3,negated_conjecture,
    v_A = v_Aa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(c_0_8,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    cls_Message_Oparts_OBody__dest_0 ).

cnf(c_0_9,negated_conjecture,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | v_C = v_Ba ),
    cls_conjecture_21 ).

cnf(c_0_10,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__parts_1 ).

cnf(c_0_11,negated_conjecture,
    ( v_Ba = v_C
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_13,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    cls_conjecture_5 ).

cnf(c_0_14,negated_conjecture,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | v_Ba != v_C ),
    cls_conjecture_32 ).

cnf(c_0_15,negated_conjecture,
    v_A = v_Aa,
    cls_conjecture_3 ).

cnf(c_0_16,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 ).

cnf(c_0_17,negated_conjecture,
    ( v_Ba = v_C
    | c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | v_Ba != v_C ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_13]),c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    v_Ba = v_C,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

cnf(c_0_22,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_8,c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_10,c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_23]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SWV326-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 04:54:50 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.16/0.55  start to proof: theBenchmark
% 0.16/0.57  % Version  : CSE_E---1.5
% 0.16/0.57  % Problem  : theBenchmark.p
% 0.16/0.57  % Proof found
% 0.16/0.57  % SZS status Theorem for theBenchmark.p
% 0.16/0.57  % SZS output start Proof
% See solution above
% 0.16/0.57  % Total time : 0.004000 s
% 0.16/0.57  % SZS output end Proof
% 0.16/0.57  % Total time : 0.006000 s
%------------------------------------------------------------------------------