TSTP Solution File: LCL684+1.001 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : n014.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 17:49:40 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   93 (  50   ~;  29   |;  12   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   23 (  17   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f30,f32]) ).

fof(f32,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | spl1_2 ),
    inference(resolution,[],[f27,f13]) ).

fof(f13,plain,
    p101(sK0),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ? [X0] :
      ( p201(X0)
      & ! [X1] :
          ( ~ r1(X0,X1)
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ~ p201(X2)
              | ~ p101(X2) ) )
      & p101(X0) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ? [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ p201(X2)
              | ~ p101(X2)
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & p101(X0)
      & p201(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ! [X2] :
                  ( ~ ( p201(X2)
                      & p101(X2) )
                  | ~ r1(X1,X2) )
              | ~ r1(X0,X1) )
        | ~ ( p101(X0)
            & p201(X0) ) ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ! [X2] :
                      ( ~ ( p201(X2)
                          & p101(X2) )
                      | ~ r1(X1,X2) )
                  | ~ r1(X0,X1) )
            | ~ ( p101(X0)
                & p201(X0) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p101(X0)
                & p201(X0) )
            | ~ ! [X1] :
                  ( ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ( p101(X0)
                          & p201(X0) ) )
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p101(X0)
              & p201(X0) )
          | ~ ! [X1] :
                ( ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( p101(X0)
                        & p201(X0) ) )
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f27,plain,
    ( ~ p101(sK0)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl1_2
  <=> p101(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f30,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f29]) ).

fof(f29,plain,
    ( $false
    | spl1_1 ),
    inference(resolution,[],[f23,f14]) ).

fof(f14,plain,
    p201(sK0),
    inference(cnf_transformation,[],[f9]) ).

fof(f23,plain,
    ( ~ p201(sK0)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl1_1
  <=> p201(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f28,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f19,f25,f21]) ).

fof(f19,plain,
    ( ~ p101(sK0)
    | ~ p201(sK0) ),
    inference(resolution,[],[f18,f15]) ).

fof(f15,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f18,plain,
    ! [X0] :
      ( ~ r1(sK0,X0)
      | ~ p101(X0)
      | ~ p201(X0) ),
    inference(resolution,[],[f12,f15]) ).

fof(f12,plain,
    ! [X2,X1] :
      ( ~ r1(sK0,X1)
      | ~ p201(X2)
      | ~ r1(X1,X2)
      | ~ p101(X2) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % 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 : n014.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 02:30:03 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (28659)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51  % (28642)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51  % (28642)First to succeed.
% 0.20/0.51  % (28642)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (28642)------------------------------
% 0.20/0.51  % (28642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (28642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (28642)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (28642)Memory used [KB]: 5373
% 0.20/0.51  % (28642)Time elapsed: 0.102 s
% 0.20/0.51  % (28642)Instructions burned: 1 (million)
% 0.20/0.51  % (28642)------------------------------
% 0.20/0.51  % (28642)------------------------------
% 0.20/0.51  % (28636)Success in time 0.161 s
%------------------------------------------------------------------------------