TSTP Solution File: SWV295-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV295-2 : 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 : n010.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 18:56:13 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   38 (  20 unt;   0 def)
%            Number of atoms       :   56 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   37 (  19   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  15 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f42,f46]) ).

fof(f46,plain,
    ~ spl8_2,
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f44,f18]) ).

fof(f18,plain,
    ~ c_in(v_NA,sF1,tc_Message_Omsg),
    inference(forward_demodulation,[],[f9,f10]) ).

fof(f10,plain,
    v_NA = sF0,
    inference(definition_folding,[],[f3,f7]) ).

fof(f7,plain,
    c_Message_Omsg_ONonce(v_NAa) = sF0,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    c_Message_Omsg_ONonce(v_NAa) = v_NA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f9,plain,
    ~ c_in(sF0,sF1,tc_Message_Omsg),
    inference(definition_folding,[],[f2,f8,f7]) ).

fof(f8,plain,
    c_Event_Oused(v_evs1) = sF1,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ~ 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) ).

fof(f44,plain,
    ( c_in(v_NA,sF1,tc_Message_Omsg)
    | ~ spl8_2 ),
    inference(resolution,[],[f34,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ c_in(X0,sF7,tc_Message_Omsg)
      | c_in(X0,sF1,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f21,f8]) ).

fof(f21,plain,
    ! [X0] :
      ( c_in(X0,c_Event_Oused(v_evs1),tc_Message_Omsg)
      | ~ c_in(X0,sF7,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f20,f16]) ).

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

fof(f20,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Message_Oparts(sF6),tc_Message_Omsg)
      | c_in(X0,c_Event_Oused(v_evs1),tc_Message_Omsg) ),
    inference(superposition,[],[f4,f15]) ).

fof(f15,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1) = sF6,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | c_in(X0,c_Event_Oused(X1),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) ).

fof(f34,plain,
    ( c_in(v_NA,sF7,tc_Message_Omsg)
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl8_2
  <=> c_in(v_NA,sF7,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f42,plain,
    spl8_1,
    inference(avatar_contradiction_clause,[],[f41]) ).

fof(f41,plain,
    ( $false
    | spl8_1 ),
    inference(subsumption_resolution,[],[f40,f30]) ).

fof(f30,plain,
    ( ~ c_in(sF4,sF7,tc_Message_Omsg)
    | spl8_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl8_1
  <=> c_in(sF4,sF7,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f40,plain,
    c_in(sF4,sF7,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f39,f17]) ).

fof(f17,plain,
    c_in(sF5,sF7,tc_Message_Omsg),
    inference(definition_folding,[],[f1,f16,f15,f14,f13,f12,f7,f11]) ).

fof(f11,plain,
    c_Public_OshrK(v_Aa) = 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(sF0,sF3),
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF5 = c_Message_Omsg_OCrypt(sF2,sF4),
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).

fof(f39,plain,
    ( ~ c_in(sF5,sF7,tc_Message_Omsg)
    | c_in(sF4,sF7,tc_Message_Omsg) ),
    inference(superposition,[],[f37,f16]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ c_in(sF5,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(sF4,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f6,f14]) ).

fof(f6,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X5,X2),c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f35,plain,
    ( ~ spl8_1
    | spl8_2 ),
    inference(avatar_split_clause,[],[f26,f32,f28]) ).

fof(f26,plain,
    ( c_in(v_NA,sF7,tc_Message_Omsg)
    | ~ c_in(sF4,sF7,tc_Message_Omsg) ),
    inference(superposition,[],[f24,f16]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ c_in(sF4,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(v_NA,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f5,f19]) ).

fof(f19,plain,
    sF4 = c_Message_Omsg_OMPair(v_NA,sF3),
    inference(forward_demodulation,[],[f13,f10]) ).

fof(f5,axiom,
    ! [X2,X3,X4] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV295-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:06:28 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (3415)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (3415)First to succeed.
% 0.19/0.51  % (3431)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51  % (3415)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (3415)------------------------------
% 0.19/0.51  % (3415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (3415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (3415)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (3415)Memory used [KB]: 5373
% 0.19/0.51  % (3415)Time elapsed: 0.102 s
% 0.19/0.51  % (3415)Instructions burned: 2 (million)
% 0.19/0.51  % (3415)------------------------------
% 0.19/0.51  % (3415)------------------------------
% 0.19/0.51  % (3402)Success in time 0.166 s
%------------------------------------------------------------------------------