TSTP Solution File: GEO217+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO217+2 : TPTP v8.1.0. Released 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 : n021.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 16:12:20 EDT 2022

% Result   : Theorem 1.41s 0.54s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (   8 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   64 (  30   ~;  20   |;   7   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   36 (  30   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(avatar_sat_refutation,[],[f118,f123,f147]) ).

fof(f147,plain,
    ~ spl3_1,
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | ~ spl3_1 ),
    inference(resolution,[],[f139,f71]) ).

fof(f71,plain,
    ~ convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ? [X2,X0,X1] :
      ( ~ convergent_lines(X2,X0)
      & convergent_lines(X1,X0)
      & ~ convergent_lines(X2,X1) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ? [X2,X0,X1] :
      ( convergent_lines(X1,X0)
      & ~ convergent_lines(X2,X1)
      & ~ convergent_lines(X2,X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X2,X0,X1] :
        ( ( ~ convergent_lines(X2,X1)
          & ~ convergent_lines(X2,X0) )
       => ~ convergent_lines(X1,X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X7,X6,X5] :
        ( ( ~ convergent_lines(X5,X6)
          & ~ convergent_lines(X5,X7) )
       => ~ convergent_lines(X6,X7) ),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X7,X6,X5] :
      ( ( ~ convergent_lines(X5,X6)
        & ~ convergent_lines(X5,X7) )
     => ~ convergent_lines(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f139,plain,
    ( convergent_lines(sK0,sK1)
    | ~ spl3_1 ),
    inference(resolution,[],[f126,f58]) ).

fof(f58,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).

fof(f126,plain,
    ( ! [X0] :
        ( convergent_lines(sK1,X0)
        | convergent_lines(sK0,X0) )
    | ~ spl3_1 ),
    inference(resolution,[],[f113,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X2,X1)
      | convergent_lines(X1,X0)
      | convergent_lines(X2,X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X2,X1,X0] :
      ( convergent_lines(X2,X0)
      | convergent_lines(X1,X0)
      | ~ convergent_lines(X2,X1) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X2,X0)
      | convergent_lines(X1,X0)
      | ~ convergent_lines(X2,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X2,X1)
     => ( convergent_lines(X2,X0)
        | convergent_lines(X1,X0) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X1,X0] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X0,X2)
        | convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).

fof(f113,plain,
    ( convergent_lines(sK1,sK0)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl3_1
  <=> convergent_lines(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f123,plain,
    ~ spl3_2,
    inference(avatar_contradiction_clause,[],[f119]) ).

fof(f119,plain,
    ( $false
    | ~ spl3_2 ),
    inference(resolution,[],[f117,f58]) ).

fof(f117,plain,
    ( convergent_lines(sK2,sK2)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl3_2
  <=> convergent_lines(sK2,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f118,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f94,f115,f111]) ).

fof(f94,plain,
    ( convergent_lines(sK2,sK2)
    | convergent_lines(sK1,sK0) ),
    inference(resolution,[],[f84,f69]) ).

fof(f69,plain,
    ~ convergent_lines(sK0,sK2),
    inference(cnf_transformation,[],[f49]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
      | convergent_lines(sK1,X0)
      | convergent_lines(sK2,X1) ),
    inference(resolution,[],[f82,f72]) ).

fof(f82,plain,
    ! [X0] :
      ( convergent_lines(sK2,X0)
      | convergent_lines(sK1,X0) ),
    inference(resolution,[],[f72,f70]) ).

fof(f70,plain,
    convergent_lines(sK2,sK1),
    inference(cnf_transformation,[],[f49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n021.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   : Mon Aug 29 21:26:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (23338)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52  % (23337)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)
% 1.28/0.53  % (23339)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)
% 1.41/0.53  % (23345)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.53  % (23345)First to succeed.
% 1.41/0.53  % (23340)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53  % (23361)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.54  % (23356)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.41/0.54  % (23352)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.54  % (23338)Also succeeded, but the first one will report.
% 1.41/0.54  % (23345)Refutation found. Thanks to Tanya!
% 1.41/0.54  % SZS status Theorem for theBenchmark
% 1.41/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.54  % (23345)------------------------------
% 1.41/0.54  % (23345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (23345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (23345)Termination reason: Refutation
% 1.41/0.54  
% 1.41/0.54  % (23345)Memory used [KB]: 5500
% 1.41/0.54  % (23345)Time elapsed: 0.114 s
% 1.41/0.54  % (23345)Instructions burned: 3 (million)
% 1.41/0.54  % (23345)------------------------------
% 1.41/0.54  % (23345)------------------------------
% 1.41/0.54  % (23333)Success in time 0.188 s
%------------------------------------------------------------------------------