TSTP Solution File: SWV326-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV326-2 : 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 : n019.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 18:56:23 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   63 (  23 unt;   0 def)
%            Number of atoms       :  104 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   75 (  34   ~;  35   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;  24 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f41,f66,f72,f95,f99,f102]) ).

fof(f102,plain,
    ~ spl14_5,
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f101,plain,
    ( $false
    | ~ spl14_5 ),
    inference(subsumption_resolution,[],[f100,f43]) ).

fof(f43,plain,
    ~ c_in(v_NA,sF9,tc_Message_Omsg),
    inference(backward_demodulation,[],[f22,f20]) ).

fof(f20,plain,
    v_NA = sF1,
    inference(definition_folding,[],[f8,f11]) ).

fof(f11,plain,
    c_Message_Omsg_ONonce(v_NAa) = sF1,
    introduced(function_definition,[]) ).

fof(f8,axiom,
    c_Message_Omsg_ONonce(v_NAa) = v_NA,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f22,plain,
    ~ c_in(sF1,sF9,tc_Message_Omsg),
    inference(definition_folding,[],[f4,f21,f11]) ).

fof(f21,plain,
    c_Event_Oused(v_evs1) = sF9,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f100,plain,
    ( c_in(v_NA,sF9,tc_Message_Omsg)
    | ~ spl14_5 ),
    inference(resolution,[],[f65,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ c_in(X0,sF8,tc_Message_Omsg)
      | c_in(X0,sF9,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f46,f21]) ).

fof(f46,plain,
    ! [X0] :
      ( c_in(X0,c_Event_Oused(v_evs1),tc_Message_Omsg)
      | ~ c_in(X0,sF8,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f45,f18]) ).

fof(f18,plain,
    sF8 = c_Message_Oparts(sF7),
    introduced(function_definition,[]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Message_Oparts(sF7),tc_Message_Omsg)
      | c_in(X0,c_Event_Oused(v_evs1),tc_Message_Omsg) ),
    inference(superposition,[],[f1,f17]) ).

fof(f17,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1) = sF7,
    introduced(function_definition,[]) ).

fof(f1,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/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(f65,plain,
    ( c_in(v_NA,sF8,tc_Message_Omsg)
    | ~ spl14_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl14_5
  <=> c_in(v_NA,sF8,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).

fof(f99,plain,
    ( ~ spl14_3
    | spl14_6 ),
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f98,plain,
    ( $false
    | ~ spl14_3
    | spl14_6 ),
    inference(subsumption_resolution,[],[f97,f40]) ).

fof(f40,plain,
    ( c_in(sF13,sF8,tc_Message_Omsg)
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl14_3
  <=> c_in(sF13,sF8,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f97,plain,
    ( ~ c_in(sF13,sF8,tc_Message_Omsg)
    | spl14_6 ),
    inference(subsumption_resolution,[],[f96,f71]) ).

fof(f71,plain,
    ( ~ c_in(sF12,sF8,tc_Message_Omsg)
    | spl14_6 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl14_6
  <=> c_in(sF12,sF8,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f96,plain,
    ( ~ c_in(sF13,sF8,tc_Message_Omsg)
    | c_in(sF12,sF8,tc_Message_Omsg) ),
    inference(superposition,[],[f55,f18]) ).

fof(f55,plain,
    ! [X1] :
      ( ~ c_in(sF13,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(sF12,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(superposition,[],[f3,f26]) ).

fof(f26,plain,
    sF13 = c_Message_Omsg_OCrypt(sF0,sF12),
    introduced(function_definition,[]) ).

fof(f3,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f95,plain,
    ( ~ spl14_1
    | spl14_4 ),
    inference(avatar_split_clause,[],[f94,f59,f29]) ).

fof(f29,plain,
    ( spl14_1
  <=> c_in(sF6,sF8,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f59,plain,
    ( spl14_4
  <=> c_in(sF5,sF8,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f94,plain,
    ( ~ c_in(sF6,sF8,tc_Message_Omsg)
    | spl14_4 ),
    inference(subsumption_resolution,[],[f93,f61]) ).

fof(f61,plain,
    ( ~ c_in(sF5,sF8,tc_Message_Omsg)
    | spl14_4 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f93,plain,
    ( c_in(sF5,sF8,tc_Message_Omsg)
    | ~ c_in(sF6,sF8,tc_Message_Omsg) ),
    inference(superposition,[],[f54,f18]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ c_in(sF6,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(sF5,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f3,f16]) ).

fof(f16,plain,
    sF6 = c_Message_Omsg_OCrypt(sF0,sF5),
    introduced(function_definition,[]) ).

fof(f72,plain,
    ( ~ spl14_6
    | spl14_5 ),
    inference(avatar_split_clause,[],[f67,f63,f69]) ).

fof(f67,plain,
    ( c_in(v_NA,sF8,tc_Message_Omsg)
    | ~ c_in(sF12,sF8,tc_Message_Omsg) ),
    inference(superposition,[],[f49,f18]) ).

fof(f49,plain,
    ! [X1] :
      ( ~ c_in(sF12,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(v_NA,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f25]) ).

fof(f25,plain,
    c_Message_Omsg_OMPair(v_NA,sF11) = sF12,
    introduced(function_definition,[]) ).

fof(f2,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f66,plain,
    ( ~ spl14_4
    | spl14_5 ),
    inference(avatar_split_clause,[],[f57,f63,f59]) ).

fof(f57,plain,
    ( c_in(v_NA,sF8,tc_Message_Omsg)
    | ~ c_in(sF5,sF8,tc_Message_Omsg) ),
    inference(superposition,[],[f48,f18]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ c_in(sF5,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(v_NA,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f44]) ).

fof(f44,plain,
    c_Message_Omsg_OMPair(v_NA,sF4) = sF5,
    inference(backward_demodulation,[],[f15,f20]) ).

fof(f15,plain,
    c_Message_Omsg_OMPair(sF1,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f41,plain,
    ( spl14_2
    | spl14_3 ),
    inference(avatar_split_clause,[],[f27,f38,f33]) ).

fof(f33,plain,
    ( spl14_2
  <=> v_C = v_Ba ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f27,plain,
    ( c_in(sF13,sF8,tc_Message_Omsg)
    | v_C = v_Ba ),
    inference(definition_folding,[],[f9,f18,f17,f26,f25,f24,f23,f12,f10]) ).

fof(f10,plain,
    c_Public_OshrK(v_Aa) = sF0,
    introduced(function_definition,[]) ).

fof(f12,plain,
    c_Message_Omsg_OAgent(v_Aa) = sF2,
    introduced(function_definition,[]) ).

fof(f23,plain,
    c_Message_Omsg_OAgent(v_C) = sF10,
    introduced(function_definition,[]) ).

fof(f24,plain,
    sF11 = c_Message_Omsg_OMPair(sF2,sF10),
    introduced(function_definition,[]) ).

fof(f9,plain,
    ( v_C = v_Ba
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    inference(definition_unfolding,[],[f5,f6,f6]) ).

fof(f6,axiom,
    v_A = v_Aa,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f5,axiom,
    ( v_C = v_Ba
    | 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_21) ).

fof(f36,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f19,f33,f29]) ).

fof(f19,plain,
    ( v_C != v_Ba
    | c_in(sF6,sF8,tc_Message_Omsg) ),
    inference(definition_folding,[],[f7,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f13,plain,
    c_Message_Omsg_OAgent(v_B) = sF3,
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF4 = c_Message_Omsg_OMPair(sF2,sF3),
    introduced(function_definition,[]) ).

fof(f7,axiom,
    ( v_C != v_Ba
    | 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_32) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV326-2 : 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
% 0.13/0.34  % Computer : n019.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 19:19:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (11241)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)
% 0.20/0.52  % (11249)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (11233)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (11249)First to succeed.
% 0.20/0.52  % (11248)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (11233)Instruction limit reached!
% 0.20/0.52  % (11233)------------------------------
% 0.20/0.52  % (11233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (11233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (11233)Termination reason: Unknown
% 0.20/0.52  % (11233)Termination phase: Blocked clause elimination
% 0.20/0.52  
% 0.20/0.52  % (11233)Memory used [KB]: 895
% 0.20/0.52  % (11233)Time elapsed: 0.003 s
% 0.20/0.52  % (11233)Instructions burned: 2 (million)
% 0.20/0.52  % (11233)------------------------------
% 0.20/0.52  % (11233)------------------------------
% 0.20/0.53  % (11231)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (11241)Also succeeded, but the first one will report.
% 0.20/0.53  % (11229)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (11249)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (11249)------------------------------
% 0.20/0.53  % (11249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (11249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (11249)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (11249)Memory used [KB]: 5500
% 0.20/0.53  % (11249)Time elapsed: 0.111 s
% 0.20/0.53  % (11249)Instructions burned: 4 (million)
% 0.20/0.53  % (11249)------------------------------
% 0.20/0.53  % (11249)------------------------------
% 0.20/0.53  % (11224)Success in time 0.175 s
%------------------------------------------------------------------------------