TSTP Solution File: SWV283-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV283-1 : 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_uns --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 18:44:51 EDT 2022

% Result   : Unsatisfiable 0.21s 0.64s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   1 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   51 (  23   ~;  26   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1550,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1491,f1495,f1549]) ).

fof(f1549,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1545]) ).

fof(f1545,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f1538,f1518]) ).

fof(f1518,plain,
    ( ! [X2,X0,X1] : c_lessequals(X0,v_xd(c_plus(c_plus(X1,X0,tc_nat),X2,tc_nat)),tc_nat)
    | ~ spl0_3 ),
    inference(resolution,[],[f1503,f1439]) ).

fof(f1439,axiom,
    ! [X21,X16,X15] :
      ( ~ c_lessequals(c_plus(X15,X16,tc_nat),X21,tc_nat)
      | c_lessequals(X16,X21,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).

fof(f1503,plain,
    ( ! [X2,X3] : c_lessequals(X2,v_xd(c_plus(X2,X3,tc_nat)),tc_nat)
    | ~ spl0_3 ),
    inference(resolution,[],[f1490,f1440]) ).

fof(f1440,axiom,
    ! [X21,X16,X15] :
      ( ~ c_lessequals(c_plus(X15,X16,tc_nat),X21,tc_nat)
      | c_lessequals(X15,X21,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).

fof(f1490,plain,
    ( ! [X78] : c_lessequals(X78,v_xd(X78),tc_nat)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f1489]) ).

fof(f1489,plain,
    ( spl0_3
  <=> ! [X78] : c_lessequals(X78,v_xd(X78),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1538,plain,
    ( ! [X0] : ~ c_lessequals(v_x,v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat)),tc_nat)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f1536,f1502]) ).

fof(f1502,plain,
    ( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)
    | ~ spl0_3 ),
    inference(resolution,[],[f1490,f1439]) ).

fof(f1536,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat)
        | ~ c_lessequals(v_x,v_xd(X0),tc_nat) )
    | ~ spl0_4 ),
    inference(resolution,[],[f1515,f1469]) ).

fof(f1469,axiom,
    ! [X24] :
      ( ~ c_in(c_Message_Omsg_ONonce(X24),c_Event_Oused(v_list),tc_Message_Omsg)
      | ~ c_lessequals(v_x,X24,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1515,plain,
    ( ! [X0] :
        ( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
        | ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat) )
    | ~ spl0_4 ),
    inference(resolution,[],[f1494,f1438]) ).

fof(f1438,axiom,
    ! [X57,X24] :
      ( ~ c_in(c_Message_Omsg_ONonce(X24),c_Message_Oparts(c_insert(X57,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__upX(X57),X24,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).

fof(f1494,plain,
    ( ! [X53] :
        ( c_in(c_Message_Omsg_ONonce(v_xd(X53)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_ONonce(v_xd(X53)),c_Event_Oused(v_list),tc_Message_Omsg) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f1493]) ).

fof(f1493,plain,
    ( spl0_4
  <=> ! [X53] :
        ( c_in(c_Message_Omsg_ONonce(v_xd(X53)),c_Event_Oused(v_list),tc_Message_Omsg)
        | c_in(c_Message_Omsg_ONonce(v_xd(X53)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1495,plain,
    ( spl0_4
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1478,f1493,f1493]) ).

fof(f1478,axiom,
    ! [X24,X53] :
      ( c_in(c_Message_Omsg_ONonce(v_xd(X24)),c_Event_Oused(v_list),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(v_xd(X24)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(v_xd(X53)),c_Event_Oused(v_list),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(v_xd(X53)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

fof(f1491,plain,
    ( spl0_3
    | spl0_3 ),
    inference(avatar_split_clause,[],[f1473,f1489,f1489]) ).

fof(f1473,axiom,
    ! [X78,X24] :
      ( c_lessequals(X24,v_xd(X24),tc_nat)
      | c_lessequals(X78,v_xd(X78),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV283-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 19:09:05 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.60  % (18075)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60  % (18074)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.61  % (18082)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)
% 0.21/0.61  % (18090)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)
% 0.21/0.62  % (18091)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)
% 0.21/0.62  % (18083)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.62  % (18083)Instruction limit reached!
% 0.21/0.62  % (18083)------------------------------
% 0.21/0.62  % (18083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62  % (18068)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.62  % (18083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62  % (18083)Termination reason: Unknown
% 0.21/0.62  % (18083)Termination phase: Property scanning
% 0.21/0.62  
% 0.21/0.62  % (18083)Memory used [KB]: 2686
% 0.21/0.62  % (18083)Time elapsed: 0.006 s
% 0.21/0.62  % (18083)Instructions burned: 6 (million)
% 0.21/0.62  % (18083)------------------------------
% 0.21/0.62  % (18083)------------------------------
% 0.21/0.63  % (18075)First to succeed.
% 0.21/0.64  % (18075)Refutation found. Thanks to Tanya!
% 0.21/0.64  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.64  % (18075)------------------------------
% 0.21/0.64  % (18075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.64  % (18075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.64  % (18075)Termination reason: Refutation
% 0.21/0.64  
% 0.21/0.64  % (18075)Memory used [KB]: 7164
% 0.21/0.64  % (18075)Time elapsed: 0.135 s
% 0.21/0.64  % (18075)Instructions burned: 12 (million)
% 0.21/0.64  % (18075)------------------------------
% 0.21/0.64  % (18075)------------------------------
% 0.21/0.64  % (18067)Success in time 0.265 s
%------------------------------------------------------------------------------