TSTP Solution File: SWV065+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV065+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n023.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 18:55:23 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   69 (  22   ~;  18   |;  22   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f519,plain,
    $false,
    inference(avatar_sat_refutation,[],[f512,f513,f514,f515,f516,f518]) ).

fof(f518,plain,
    spl61_5,
    inference(avatar_contradiction_clause,[],[f517]) ).

fof(f517,plain,
    ( $false
    | spl61_5 ),
    inference(subsumption_resolution,[],[f511,f334]) ).

fof(f334,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).

fof(f511,plain,
    ( ~ leq(n0,n0)
    | spl61_5 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl61_5
  <=> leq(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_5])]) ).

fof(f516,plain,
    spl61_2,
    inference(avatar_split_clause,[],[f313,f497]) ).

fof(f497,plain,
    ( spl61_2
  <=> leq(n0,pv53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_2])]) ).

fof(f313,plain,
    leq(n0,pv53),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( leq(n0,pv53)
    & leq(pv10,minus(n135300,n1))
    & leq(pv53,minus(n5,n1))
    & ( ~ leq(n0,pv53)
      | ~ leq(n0,pv10)
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,n0)
      | ~ leq(pv53,minus(n5,n1)) )
    & leq(n0,pv10) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ( ( ~ leq(n0,pv53)
      | ~ leq(n0,pv10)
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,n0)
      | ~ leq(pv53,minus(n5,n1)) )
    & leq(n0,pv53)
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10)
    & leq(pv53,minus(n5,n1)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv53)
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10)
        & leq(pv53,minus(n5,n1)) )
     => ( leq(pv53,minus(n5,n1))
        & leq(n0,pv10)
        & leq(n0,pv53)
        & leq(pv10,minus(n135300,n1))
        & leq(n0,n0) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,pv53)
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv10)
      & leq(pv53,minus(n5,n1)) )
   => ( leq(pv53,minus(n5,n1))
      & leq(n0,pv10)
      & leq(n0,pv53)
      & leq(pv10,minus(n135300,n1))
      & leq(n0,n0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0006) ).

fof(f515,plain,
    spl61_3,
    inference(avatar_split_clause,[],[f312,f501]) ).

fof(f501,plain,
    ( spl61_3
  <=> leq(pv10,minus(n135300,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_3])]) ).

fof(f312,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f137]) ).

fof(f514,plain,
    spl61_1,
    inference(avatar_split_clause,[],[f309,f493]) ).

fof(f493,plain,
    ( spl61_1
  <=> leq(n0,pv10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).

fof(f309,plain,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f137]) ).

fof(f513,plain,
    spl61_4,
    inference(avatar_split_clause,[],[f311,f505]) ).

fof(f505,plain,
    ( spl61_4
  <=> leq(pv53,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_4])]) ).

fof(f311,plain,
    leq(pv53,minus(n5,n1)),
    inference(cnf_transformation,[],[f137]) ).

fof(f512,plain,
    ( ~ spl61_1
    | ~ spl61_2
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5 ),
    inference(avatar_split_clause,[],[f310,f509,f505,f501,f497,f493]) ).

fof(f310,plain,
    ( ~ leq(n0,n0)
    | ~ leq(pv53,minus(n5,n1))
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv53)
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV065+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 19:19:04 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (14246)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.49  % (14248)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (14261)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50  % (14248)Instruction limit reached!
% 0.19/0.50  % (14248)------------------------------
% 0.19/0.50  % (14248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (14248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (14248)Termination reason: Unknown
% 0.19/0.50  % (14248)Termination phase: Function definition elimination
% 0.19/0.50  
% 0.19/0.50  % (14248)Memory used [KB]: 1151
% 0.19/0.50  % (14248)Time elapsed: 0.006 s
% 0.19/0.50  % (14248)Instructions burned: 7 (million)
% 0.19/0.50  % (14248)------------------------------
% 0.19/0.50  % (14248)------------------------------
% 0.19/0.50  % (14269)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (14246)First to succeed.
% 0.19/0.50  % (14249)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (14249)Instruction limit reached!
% 0.19/0.50  % (14249)------------------------------
% 0.19/0.50  % (14249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (14249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (14249)Termination reason: Unknown
% 0.19/0.50  % (14249)Termination phase: Preprocessing 1
% 0.19/0.50  
% 0.19/0.50  % (14249)Memory used [KB]: 1023
% 0.19/0.50  % (14249)Time elapsed: 0.003 s
% 0.19/0.50  % (14249)Instructions burned: 2 (million)
% 0.19/0.50  % (14249)------------------------------
% 0.19/0.50  % (14249)------------------------------
% 0.19/0.51  % (14241)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  % (14258)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (14267)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (14270)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52  % (14242)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (14244)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (14243)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (14246)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (14246)------------------------------
% 0.19/0.52  % (14246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (14246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (14246)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (14246)Memory used [KB]: 5756
% 0.19/0.52  % (14246)Time elapsed: 0.118 s
% 0.19/0.52  % (14246)Instructions burned: 13 (million)
% 0.19/0.52  % (14246)------------------------------
% 0.19/0.52  % (14246)------------------------------
% 0.19/0.52  % (14240)Success in time 0.185 s
%------------------------------------------------------------------------------