TSTP Solution File: SWV325-2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV325-2 : 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 : n005.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 21:37:54 EDT 2023

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   59 (  17 unt;  25 typ;   0 def)
%            Number of atoms       :   61 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  24   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  13   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  12 con; 0-3 aty)
%            Number of variables   :   28 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    c_Event_Obad: $i ).

tff(decl_24,type,
    tc_Message_Oagent: $i ).

tff(decl_25,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(decl_26,type,
    v_evsf: $i ).

tff(decl_27,type,
    c_OtwayRees_Ootway: $i ).

tff(decl_28,type,
    tc_Event_Oevent: $i ).

tff(decl_29,type,
    tc_List_Olist: $i > $i ).

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

tff(decl_31,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_32,type,
    c_Event_Oknows: ( $i * $i ) > $i ).

tff(decl_33,type,
    c_Message_Oanalz: $i > $i ).

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

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

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

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

tff(decl_38,type,
    c_Message_Omsg_OAgent: $i > $i ).

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

tff(decl_40,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(decl_41,type,
    c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(decl_42,type,
    c_insert: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    c_Message_Oparts: $i > $i ).

tff(decl_44,type,
    v_B: $i ).

tff(decl_45,type,
    c_Message_Omsg_OKey: $i > $i ).

tff(decl_46,type,
    c_union: ( $i * $i * $i ) > $i ).

cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(cls_conjecture_4,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_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_4) ).

cnf(cls_conjecture_2,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_2) ).

cnf(cls_conjecture_3,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_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) ).

cnf(cls_Set_OUnE_0,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( v_B = v_C
    | ~ 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_evsf)),tc_Message_Omsg)
    | ~ 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_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_5,negated_conjecture,
    v_B != v_C,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_Message_OCrypt__synth_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_12,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OFake__parts__insert__in__Un__dest_0 ).

cnf(c_0_13,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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_4 ).

cnf(c_0_14,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_15,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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_3 ).

cnf(c_0_16,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    cls_Set_OUnE_0 ).

cnf(c_0_17,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_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_18,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_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14])]) ).

cnf(c_0_19,negated_conjecture,
    ( v_B = v_C
    | ~ 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_evsf)),tc_Message_Omsg)
    | ~ 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_evsf)),tc_Message_Omsg) ),
    cls_conjecture_6 ).

cnf(c_0_20,negated_conjecture,
    v_B != v_C,
    cls_conjecture_5 ).

cnf(c_0_21,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    cls_Message_OCrypt__synth_0 ).

cnf(c_0_22,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | 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_evsf)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__into__parts__dest_0 ).

cnf(c_0_24,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | 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_evsf)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_16,c_0_18]) ).

cnf(c_0_25,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_evsf)),tc_Message_Omsg)
    | ~ 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_evsf)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,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_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_27,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_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_24]),c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_29,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_OtwayRees_OSpy__see__shrK__D__dest_0 ).

cnf(c_0_30,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_23,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_1 ).

cnf(c_0_32,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_0 ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV325-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 09:04:22 EDT 2023
% 0.19/0.33  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.57  % Version  : CSE_E---1.5
% 0.19/0.57  % Problem  : theBenchmark.p
% 0.19/0.57  % Proof found
% 0.19/0.57  % SZS status Theorem for theBenchmark.p
% 0.19/0.57  % SZS output start Proof
% See solution above
% 0.19/0.57  % Total time : 0.006000 s
% 0.19/0.57  % SZS output end Proof
% 0.19/0.57  % Total time : 0.008000 s
%------------------------------------------------------------------------------