TSTP Solution File: SWV063+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV063+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_uns --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 18:44:02 EDT 2022

% Result   : Theorem 1.38s 0.55s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   55 (  17   ~;  12   |;  20   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f225,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f221,f222,f223,f224]) ).

fof(f224,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f152,f213]) ).

fof(f213,plain,
    ( spl0_3
  <=> leq(pv43,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f152,plain,
    leq(pv43,minus(n5,n1)),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( leq(n0,pv10)
    & leq(pv43,minus(n5,n1))
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv43)
    & ( ~ leq(pv43,minus(n5,n1))
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv43)
      | ~ leq(n0,pv10) ) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ( ( ~ leq(pv43,minus(n5,n1))
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv43)
      | ~ leq(n0,pv10) )
    & leq(n0,pv10)
    & leq(n0,pv43)
    & leq(pv43,minus(n5,n1))
    & leq(pv10,minus(n135300,n1)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv10)
        & leq(n0,pv43)
        & leq(pv43,minus(n5,n1))
        & leq(pv10,minus(n135300,n1)) )
     => ( leq(pv10,minus(n135300,n1))
        & leq(n0,pv43)
        & leq(pv43,minus(n5,n1))
        & leq(n0,pv10) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,pv10)
      & leq(n0,pv43)
      & leq(pv43,minus(n5,n1))
      & leq(pv10,minus(n135300,n1)) )
   => ( leq(pv10,minus(n135300,n1))
      & leq(n0,pv43)
      & leq(pv43,minus(n5,n1))
      & leq(n0,pv10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0004) ).

fof(f223,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f151,f217]) ).

fof(f217,plain,
    ( spl0_4
  <=> leq(pv10,minus(n135300,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f151,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f115]) ).

fof(f222,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f153,f205]) ).

fof(f205,plain,
    ( spl0_1
  <=> leq(n0,pv10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f153,plain,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f115]) ).

fof(f221,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f150,f209]) ).

fof(f209,plain,
    ( spl0_2
  <=> leq(n0,pv43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f150,plain,
    leq(n0,pv43),
    inference(cnf_transformation,[],[f115]) ).

fof(f220,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f149,f217,f213,f209,f205]) ).

fof(f149,plain,
    ( ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv43,minus(n5,n1))
    | ~ leq(n0,pv43)
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : SWV063+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.09/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 19:01:50 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 1.20/0.54  % (16370)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.38/0.54  % (16370)Instruction limit reached!
% 1.38/0.54  % (16370)------------------------------
% 1.38/0.54  % (16370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (16370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (16370)Termination reason: Unknown
% 1.38/0.54  % (16370)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (16370)Memory used [KB]: 1791
% 1.38/0.54  % (16370)Time elapsed: 0.007 s
% 1.38/0.54  % (16370)Instructions burned: 13 (million)
% 1.38/0.54  % (16370)------------------------------
% 1.38/0.54  % (16370)------------------------------
% 1.38/0.54  % (16369)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.38/0.54  % (16381)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.38/0.54  % (16375)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.38/0.54  % (16371)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.55  % (16392)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.38/0.55  % (16375)First to succeed.
% 1.38/0.55  % (16371)Instruction limit reached!
% 1.38/0.55  % (16371)------------------------------
% 1.38/0.55  % (16371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55  % (16371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55  % (16387)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.55  % (16371)Termination reason: Unknown
% 1.38/0.55  % (16371)Termination phase: Property scanning
% 1.38/0.55  
% 1.38/0.55  % (16371)Memory used [KB]: 1663
% 1.38/0.55  % (16371)Time elapsed: 0.003 s
% 1.38/0.55  % (16371)Instructions burned: 4 (million)
% 1.38/0.55  % (16371)------------------------------
% 1.38/0.55  % (16371)------------------------------
% 1.38/0.55  % (16387)Instruction limit reached!
% 1.38/0.55  % (16387)------------------------------
% 1.38/0.55  % (16387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55  % (16387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55  % (16387)Termination reason: Unknown
% 1.38/0.55  % (16387)Termination phase: SInE selection
% 1.38/0.55  
% 1.38/0.55  % (16387)Memory used [KB]: 1407
% 1.38/0.55  % (16387)Time elapsed: 0.002 s
% 1.38/0.55  % (16387)Instructions burned: 2 (million)
% 1.38/0.55  % (16387)------------------------------
% 1.38/0.55  % (16387)------------------------------
% 1.38/0.55  % (16374)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.38/0.55  % (16375)Refutation found. Thanks to Tanya!
% 1.38/0.55  % SZS status Theorem for theBenchmark
% 1.38/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.55  % (16375)------------------------------
% 1.38/0.55  % (16375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55  % (16375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55  % (16375)Termination reason: Refutation
% 1.38/0.55  
% 1.38/0.55  % (16375)Memory used [KB]: 6012
% 1.38/0.55  % (16375)Time elapsed: 0.129 s
% 1.38/0.55  % (16375)Instructions burned: 4 (million)
% 1.38/0.55  % (16375)------------------------------
% 1.38/0.55  % (16375)------------------------------
% 1.38/0.55  % (16367)Success in time 0.183 s
%------------------------------------------------------------------------------