TSTP Solution File: SYN568-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n009.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 19:27:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  18   ~;  19   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,plain,
    $false,
    inference(avatar_sat_refutation,[],[f114,f117,f131,f138]) ).

fof(f138,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f134]) ).

fof(f134,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f113,f7]) ).

fof(f7,axiom,
    ~ p3(f6(f7(f8(c12))),f6(c12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).

fof(f113,plain,
    ( p3(f6(f7(f8(c12))),f6(c12))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl0_3
  <=> p3(f6(f7(f8(c12))),f6(c12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f131,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f129]) ).

fof(f129,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f124,f3]) ).

fof(f3,axiom,
    ~ p11(f9(c13),f9(c14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_3) ).

fof(f124,plain,
    ( p11(f9(c13),f9(c14))
    | spl0_2 ),
    inference(resolution,[],[f109,f5]) ).

fof(f5,axiom,
    ! [X3,X4] :
      ( p10(X3,X4)
      | p11(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).

fof(f109,plain,
    ( ~ p10(f9(c14),f9(c13))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl0_2
  <=> p10(f9(c14),f9(c13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f117,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f115,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f105,f4]) ).

fof(f4,axiom,
    ! [X2] : p11(f5(f6(c12)),f9(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_4) ).

fof(f105,plain,
    ( ~ p11(f5(f6(c12)),f9(c14))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl0_1
  <=> p11(f5(f6(c12)),f9(c14)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f114,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f100,f111,f107,f103]) ).

fof(f100,plain,
    ( p3(f6(f7(f8(c12))),f6(c12))
    | ~ p10(f9(c14),f9(c13))
    | ~ p11(f5(f6(c12)),f9(c14)) ),
    inference(resolution,[],[f51,f18]) ).

fof(f18,axiom,
    p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).

fof(f51,plain,
    ! [X6,X7,X5] :
      ( ~ p11(f4(X6,X7),f4(X5,X7))
      | ~ p11(f5(f6(c12)),X5)
      | ~ p10(X5,X6)
      | p3(X7,f6(c12)) ),
    inference(resolution,[],[f20,f6]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( ~ p10(X3,X4)
      | ~ p11(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_6) ).

fof(f20,axiom,
    ! [X36,X34,X35] :
      ( p10(f4(X35,X34),f4(X36,X34))
      | ~ p10(X35,X36)
      | p3(X34,f6(c12))
      | ~ p11(f5(f6(c12)),X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:05:35 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (11907)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (11920)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)
% 0.18/0.50  % (11911)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (11919)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.51  % (11919)First to succeed.
% 0.18/0.51  % (11912)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)
% 0.18/0.51  % (11909)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.51  % (11911)Instruction limit reached!
% 0.18/0.51  % (11911)------------------------------
% 0.18/0.51  % (11911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (11898)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (11919)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (11919)------------------------------
% 0.18/0.51  % (11919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (11919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (11919)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (11919)Memory used [KB]: 5884
% 0.18/0.51  % (11919)Time elapsed: 0.115 s
% 0.18/0.51  % (11919)Instructions burned: 5 (million)
% 0.18/0.51  % (11919)------------------------------
% 0.18/0.51  % (11919)------------------------------
% 0.18/0.51  % (11897)Success in time 0.173 s
%------------------------------------------------------------------------------