TSTP Solution File: LCL414-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL414-1 : 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 : n011.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 17:42:23 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   8   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f55,plain,
    $false,
    inference(avatar_sat_refutation,[],[f48,f54]) ).

fof(f54,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f49]) ).

fof(f49,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f43,f5]) ).

fof(f5,axiom,
    ~ a_truth(implies(sk1,sk1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_5) ).

fof(f43,plain,
    ( ! [X2] : a_truth(implies(X2,X2))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl0_3
  <=> ! [X2] : a_truth(implies(X2,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f48,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f35,f42]) ).

fof(f35,plain,
    ! [X0] : a_truth(implies(X0,X0)),
    inference(resolution,[],[f29,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : a_truth(implies(X1,implies(X0,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_2) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ a_truth(implies(X0,X1))
      | a_truth(implies(X0,X0)) ),
    inference(resolution,[],[f12,f2]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ a_truth(implies(X0,implies(X1,X2)))
      | ~ a_truth(implies(X0,X1))
      | a_truth(implies(X0,X2)) ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ a_truth(implies(X1,X0))
      | a_truth(X0)
      | ~ a_truth(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_1) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( a_truth(implies(implies(X0,X1),implies(X0,X2)))
      | ~ a_truth(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : a_truth(implies(implies(X1,implies(X0,X2)),implies(implies(X1,X0),implies(X1,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL414-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 01:56:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.56  % (7627)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (7620)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.56  % (7633)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)
% 0.20/0.57  % (7641)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)
% 0.20/0.57  % (7626)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (7634)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.57  % (7642)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.57  % (7626)First to succeed.
% 0.20/0.57  % (7643)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.57  TRYING [1]
% 0.20/0.58  TRYING [2]
% 0.20/0.58  % (7642)Also succeeded, but the first one will report.
% 0.20/0.58  % (7626)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (7626)------------------------------
% 0.20/0.58  % (7626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (7626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (7626)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (7626)Memory used [KB]: 5756
% 0.20/0.58  % (7626)Time elapsed: 0.143 s
% 0.20/0.58  % (7626)Instructions burned: 2 (million)
% 0.20/0.58  % (7626)------------------------------
% 0.20/0.58  % (7626)------------------------------
% 0.20/0.58  % (7618)Success in time 0.219 s
%------------------------------------------------------------------------------