TSTP Solution File: SWV324-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV324-2 : 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 : n004.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 18:56:22 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   55 (  30 unt;   0 def)
%            Number of atoms       :   80 (  19 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   51 (  26   ~;  23   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   37 (  37 usr;  27 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,plain,
    $false,
    inference(avatar_sat_refutation,[],[f49,f60,f69]) ).

fof(f69,plain,
    spl14_2,
    inference(avatar_contradiction_clause,[],[f68]) ).

fof(f68,plain,
    ( $false
    | spl14_2 ),
    inference(subsumption_resolution,[],[f67,f51]) ).

fof(f51,plain,
    ( ~ c_in(sF7,sF13,tc_Message_Omsg)
    | spl14_2 ),
    inference(subsumption_resolution,[],[f50,f48]) ).

fof(f48,plain,
    ( ~ c_in(sF6,sF13,tc_Message_Omsg)
    | spl14_2 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl14_2
  <=> c_in(sF6,sF13,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f50,plain,
    ( ~ c_in(sF7,sF13,tc_Message_Omsg)
    | c_in(sF6,sF13,tc_Message_Omsg) ),
    inference(superposition,[],[f34,f24]) ).

fof(f24,plain,
    c_Message_Oparts(sF12) = sF13,
    introduced(function_definition,[]) ).

fof(f34,plain,
    ! [X2] :
      ( ~ c_in(sF7,c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(sF6,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(superposition,[],[f6,f16]) ).

fof(f16,plain,
    sF7 = c_Message_Omsg_OMPair(sF0,sF6),
    introduced(function_definition,[]) ).

fof(f6,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f67,plain,
    c_in(sF7,sF13,tc_Message_Omsg),
    inference(forward_demodulation,[],[f66,f24]) ).

fof(f66,plain,
    c_in(sF7,c_Message_Oparts(sF12),tc_Message_Omsg),
    inference(resolution,[],[f63,f7]) ).

fof(f7,axiom,
    ! [X6,X5] :
      ( ~ c_in(X6,c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X6,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f63,plain,
    c_in(sF7,c_Message_Oanalz(sF12),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f62,f19]) ).

fof(f19,plain,
    c_in(sF8,sF9,tc_Event_Oevent),
    inference(definition_folding,[],[f1,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).

fof(f9,plain,
    c_Message_Omsg_ONonce(v_NA) = sF0,
    introduced(function_definition,[]) ).

fof(f10,plain,
    c_Public_OshrK(v_B) = sF1,
    introduced(function_definition,[]) ).

fof(f11,plain,
    c_Message_Omsg_ONonce(v_NB) = sF2,
    introduced(function_definition,[]) ).

fof(f12,plain,
    c_Message_Omsg_OKey(v_K) = sF3,
    introduced(function_definition,[]) ).

fof(f13,plain,
    sF4 = c_Message_Omsg_OMPair(sF2,sF3),
    introduced(function_definition,[]) ).

fof(f14,plain,
    c_Message_Omsg_OCrypt(sF1,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f15,plain,
    c_Message_Omsg_OMPair(v_X,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f17,plain,
    sF8 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,sF7),
    introduced(function_definition,[]) ).

fof(f18,plain,
    c_List_Oset(v_evso,tc_Event_Oevent) = sF9,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f62,plain,
    ( ~ c_in(sF8,sF9,tc_Event_Oevent)
    | c_in(sF7,c_Message_Oanalz(sF12),tc_Message_Omsg) ),
    inference(superposition,[],[f57,f17]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF9,tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(sF12),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f56,f23]) ).

fof(f23,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) = sF12,
    introduced(function_definition,[]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF9,tc_Event_Oevent) ),
    inference(superposition,[],[f5,f18]) ).

fof(f5,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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f60,plain,
    ~ spl14_1,
    inference(avatar_split_clause,[],[f59,f42]) ).

fof(f42,plain,
    ( spl14_1
  <=> c_in(sF5,sF13,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f59,plain,
    ~ c_in(sF5,sF13,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f58,f37]) ).

fof(f37,plain,
    ~ c_in(sF4,sF13,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f36,f31]) ).

fof(f31,plain,
    ~ c_in(sF3,sF13,tc_Message_Omsg),
    inference(forward_demodulation,[],[f30,f29]) ).

fof(f29,plain,
    sF3 = sF11,
    inference(backward_demodulation,[],[f27,f12]) ).

fof(f27,plain,
    c_Message_Omsg_OKey(v_K) = sF11,
    inference(backward_demodulation,[],[f22,f26]) ).

fof(f26,plain,
    v_K = sF10,
    inference(subsumption_resolution,[],[f21,f2]) ).

fof(f2,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f21,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | v_K = sF10 ),
    inference(definition_folding,[],[f4,f20]) ).

fof(f20,plain,
    c_Public_OshrK(v_A) = sF10,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ( v_K = c_Public_OshrK(v_A)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

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

fof(f30,plain,
    ~ c_in(sF11,sF13,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f25,f2]) ).

fof(f25,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(sF11,sF13,tc_Message_Omsg) ),
    inference(definition_folding,[],[f3,f24,f23,f22,f20]) ).

fof(f3,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f36,plain,
    ( ~ c_in(sF4,sF13,tc_Message_Omsg)
    | c_in(sF3,sF13,tc_Message_Omsg) ),
    inference(superposition,[],[f32,f24]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ c_in(sF4,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(sF3,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f6,f13]) ).

fof(f58,plain,
    ( ~ c_in(sF5,sF13,tc_Message_Omsg)
    | c_in(sF4,sF13,tc_Message_Omsg) ),
    inference(superposition,[],[f38,f24]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ c_in(sF5,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(sF4,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f8,f14]) ).

fof(f8,axiom,
    ! [X2,X7,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f49,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f40,f46,f42]) ).

fof(f40,plain,
    ( ~ c_in(sF6,sF13,tc_Message_Omsg)
    | c_in(sF5,sF13,tc_Message_Omsg) ),
    inference(superposition,[],[f33,f24]) ).

fof(f33,plain,
    ! [X1] :
      ( ~ c_in(sF6,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(sF5,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(superposition,[],[f6,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWV324-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 19:12:49 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  % (26655)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50  % (26652)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  % (26668)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.51  % (26652)Instruction limit reached!
% 0.21/0.51  % (26652)------------------------------
% 0.21/0.51  % (26652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (26660)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (26652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (26652)Termination reason: Unknown
% 0.21/0.52  % (26652)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (26652)Memory used [KB]: 895
% 0.21/0.52  % (26652)Time elapsed: 0.004 s
% 0.21/0.52  % (26652)Instructions burned: 2 (million)
% 0.21/0.52  % (26652)------------------------------
% 0.21/0.52  % (26652)------------------------------
% 0.21/0.52  % (26648)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (26668)First to succeed.
% 0.21/0.52  % (26660)Also succeeded, but the first one will report.
% 0.21/0.52  % (26668)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (26668)------------------------------
% 0.21/0.52  % (26668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (26668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (26668)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (26668)Memory used [KB]: 5500
% 0.21/0.52  % (26668)Time elapsed: 0.109 s
% 0.21/0.52  % (26668)Instructions burned: 3 (million)
% 0.21/0.52  % (26668)------------------------------
% 0.21/0.52  % (26668)------------------------------
% 0.21/0.52  % (26643)Success in time 0.158 s
%------------------------------------------------------------------------------