TSTP Solution File: SWV776-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV776-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n020.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 18:54:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (   7 unt;   0 def)
%            Number of atoms       :   55 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  26   ~;  22   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f604,plain,
    $false,
    inference(avatar_sat_refutation,[],[f514,f520,f590,f603]) ).

fof(f603,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_contradiction_clause,[],[f602]) ).

fof(f602,plain,
    ( $false
    | ~ spl4_1
    | spl4_2 ),
    inference(subsumption_resolution,[],[f601,f512]) ).

fof(f512,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl4_2
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f601,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f600,f509]) ).

fof(f509,plain,
    ( sP1(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)))
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl4_1
  <=> sP1(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f600,plain,
    ( ~ sP1(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)))
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f550,f470]) ).

fof(f470,axiom,
    ! [X3,X0,X5] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,X3) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X3,tc_Event_Oevent))
      | c_in(X5,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).

fof(f550,plain,
    ~ sP1(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))),
    inference(superposition,[],[f501,f482]) ).

fof(f482,axiom,
    ! [X27,X24,X25] : c_List_Olist_OCons(X27,X24,X25) = c_List_Oappend(c_List_Olist_ONil(X25),c_List_Olist_OCons(X27,X24,X25),X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_4) ).

fof(f501,plain,
    ~ sP1(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f590,plain,
    ( ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f589]) ).

fof(f589,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f588,f513]) ).

fof(f513,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f588,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f586,f519]) ).

fof(f519,plain,
    ( sP0(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl4_3
  <=> sP0(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f586,plain,
    ( ~ sP0(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f544,f466]) ).

fof(f466,axiom,
    ! [X3,X0,X5] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X3,tc_Event_Oevent)) = c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
      | ~ c_in(X5,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).

fof(f544,plain,
    ~ sP0(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))),
    inference(superposition,[],[f499,f459]) ).

fof(f459,axiom,
    ! [X27,X25] : c_List_Oappend(c_List_Olist_ONil(X25),X27,X25) = X27,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).

fof(f499,plain,
    ~ sP0(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f520,plain,
    ( spl4_3
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f500,f511,f517]) ).

fof(f500,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | sP0(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
    inference(inequality_splitting,[],[f485,f499]) ).

fof(f485,axiom,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f514,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f502,f511,f507]) ).

fof(f502,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | sP1(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))) ),
    inference(inequality_splitting,[],[f484,f501]) ).

fof(f484,axiom,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV776-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.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 20:01:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (15466)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52  % (15481)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (15476)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.53  % (15473)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (15466)Instruction limit reached!
% 0.19/0.53  % (15466)------------------------------
% 0.19/0.53  % (15466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15466)Termination reason: Unknown
% 0.19/0.53  % (15466)Termination phase: General splitting
% 0.19/0.53  
% 0.19/0.53  % (15466)Memory used [KB]: 1791
% 0.19/0.53  % (15466)Time elapsed: 0.005 s
% 0.19/0.53  % (15466)Instructions burned: 5 (million)
% 0.19/0.53  % (15466)------------------------------
% 0.19/0.53  % (15466)------------------------------
% 0.19/0.53  % (15476)Instruction limit reached!
% 0.19/0.53  % (15476)------------------------------
% 0.19/0.53  % (15476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15481)Instruction limit reached!
% 0.19/0.53  % (15481)------------------------------
% 0.19/0.53  % (15481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15481)Termination reason: Unknown
% 0.19/0.53  % (15481)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (15481)Memory used [KB]: 1791
% 0.19/0.53  % (15481)Time elapsed: 0.008 s
% 0.19/0.53  % (15481)Instructions burned: 9 (million)
% 0.19/0.53  % (15481)------------------------------
% 0.19/0.53  % (15481)------------------------------
% 0.19/0.54  % (15492)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54  % (15476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (15476)Termination reason: Unknown
% 0.19/0.54  % (15476)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (15476)Memory used [KB]: 1791
% 0.19/0.54  % (15476)Time elapsed: 0.006 s
% 0.19/0.54  % (15476)Instructions burned: 6 (million)
% 0.19/0.54  % (15476)------------------------------
% 0.19/0.54  % (15476)------------------------------
% 0.19/0.54  % (15484)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (15486)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.54  % (15468)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.55  % (15469)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.55  % (15484)Instruction limit reached!
% 0.19/0.55  % (15484)------------------------------
% 0.19/0.55  % (15484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (15487)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.55  % (15484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (15484)Termination reason: Unknown
% 0.19/0.55  % (15484)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (15484)Memory used [KB]: 1791
% 0.19/0.55  % (15484)Time elapsed: 0.009 s
% 0.19/0.55  % (15484)Instructions burned: 6 (million)
% 0.19/0.55  % (15484)------------------------------
% 0.19/0.55  % (15484)------------------------------
% 0.19/0.55  % (15478)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.55  % (15473)First to succeed.
% 0.19/0.55  % (15473)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (15473)------------------------------
% 0.19/0.55  % (15473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (15473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (15473)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (15473)Memory used [KB]: 6780
% 0.19/0.55  % (15473)Time elapsed: 0.127 s
% 0.19/0.55  % (15473)Instructions burned: 19 (million)
% 0.19/0.55  % (15473)------------------------------
% 0.19/0.55  % (15473)------------------------------
% 0.19/0.55  % (15463)Success in time 0.194 s
%------------------------------------------------------------------------------