TSTP Solution File: SWV343-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV343-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n016.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 : Wed Aug 31 18:56:30 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   39 (  25 unt;   0 def)
%            Number of atoms       :   53 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   36 (  36 usr;  25 con; 0-3 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(subsumption_resolution,[],[f145,f12]) ).

fof(f12,plain,
    ~ c_in(sF0,sF1,tc_Message_Omsg),
    inference(definition_folding,[],[f2,f11,f10]) ).

fof(f10,plain,
    c_Message_Omsg_OKey(v_K) = sF0,
    introduced(function_definition,[]) ).

fof(f11,plain,
    c_Event_Oused(v_evs3) = sF1,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f145,plain,
    c_in(sF0,sF1,tc_Message_Omsg),
    inference(forward_demodulation,[],[f144,f11]) ).

fof(f144,plain,
    c_in(sF0,c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f118,f4]) ).

fof(f4,axiom,
    ! [X3,X4] :
      ( ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X4,c_Event_Oused(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

fof(f118,plain,
    c_in(sF0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f117,f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ c_in(sF12,c_Message_Oanalz(X0),tc_Message_Omsg)
      | c_in(sF0,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f95,f9]) ).

fof(f9,axiom,
    ! [X6] : c_Message_Oparts(X6) = c_Message_Oparts(c_Message_Oanalz(X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).

fof(f95,plain,
    ! [X0] :
      ( c_in(sF0,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF12,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f89,f39]) ).

fof(f39,plain,
    ! [X4] :
      ( ~ c_in(sF10,c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(sF0,c_Message_Oparts(X4),tc_Message_Omsg) ),
    inference(superposition,[],[f6,f21]) ).

fof(f21,plain,
    c_Message_Omsg_OMPair(sF9,sF0) = sF10,
    introduced(function_definition,[]) ).

fof(f6,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X5),c_Message_Oparts(X6),tc_Message_Omsg)
      | c_in(X5,c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f89,plain,
    ! [X0] :
      ( c_in(sF10,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF12,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f47,f66]) ).

fof(f66,plain,
    ! [X0] :
      ( c_in(sF11,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF12,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f38,f8]) ).

fof(f8,axiom,
    ! [X2,X6] :
      ( c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X2,X6,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f38,plain,
    ! [X3] :
      ( ~ c_in(sF12,c_Message_Oparts(X3),tc_Message_Omsg)
      | c_in(sF11,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(superposition,[],[f6,f23]) ).

fof(f23,plain,
    c_Message_Omsg_OMPair(sF7,sF11) = sF12,
    introduced(function_definition,[]) ).

fof(f47,plain,
    ! [X1] :
      ( ~ c_in(sF11,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(sF10,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(superposition,[],[f7,f22]) ).

fof(f22,plain,
    sF11 = c_Message_Omsg_OCrypt(sF8,sF10),
    introduced(function_definition,[]) ).

fof(f7,axiom,
    ! [X2,X6,X7] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(X6),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f117,plain,
    c_in(sF12,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f116,f26]) ).

fof(f26,plain,
    c_in(sF13,sF14,tc_Event_Oevent),
    inference(definition_folding,[],[f1,f25,f24,f23,f22,f21,f10,f20,f19,f18,f17,f16,f15,f10,f14,f13]) ).

fof(f13,plain,
    c_Public_OshrK(v_A) = sF2,
    introduced(function_definition,[]) ).

fof(f14,plain,
    c_Message_Omsg_OAgent(v_B) = sF3,
    introduced(function_definition,[]) ).

fof(f15,plain,
    c_Message_Omsg_OMPair(v_na,v_nb) = sF4,
    introduced(function_definition,[]) ).

fof(f16,plain,
    sF5 = c_Message_Omsg_OMPair(sF0,sF4),
    introduced(function_definition,[]) ).

fof(f17,plain,
    c_Message_Omsg_OMPair(sF3,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f18,plain,
    c_Message_Omsg_OCrypt(sF2,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f19,plain,
    c_Public_OshrK(v_B) = sF8,
    introduced(function_definition,[]) ).

fof(f20,plain,
    c_Message_Omsg_OAgent(v_A) = sF9,
    introduced(function_definition,[]) ).

fof(f24,plain,
    sF13 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,sF12),
    introduced(function_definition,[]) ).

fof(f25,plain,
    c_List_Oset(v_evs3,tc_Event_Oevent) = sF14,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).

fof(f116,plain,
    ( ~ c_in(sF13,sF14,tc_Event_Oevent)
    | c_in(sF12,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[],[f69,f24]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF14,tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[],[f3,f25]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV343-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:40:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (3705)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (3713)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51  % (3705)First to succeed.
% 0.20/0.51  % (3706)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (3714)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (3705)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (3705)------------------------------
% 0.20/0.51  % (3705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3705)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (3705)Memory used [KB]: 5500
% 0.20/0.51  % (3705)Time elapsed: 0.106 s
% 0.20/0.51  % (3705)Instructions burned: 7 (million)
% 0.20/0.51  % (3705)------------------------------
% 0.20/0.51  % (3705)------------------------------
% 0.20/0.51  % (3688)Success in time 0.165 s
%------------------------------------------------------------------------------