TSTP Solution File: GEO047-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% 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 16:07:49 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   39 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  17   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f333,plain,
    $false,
    inference(avatar_sat_refutation,[],[f86,f233,f332]) ).

fof(f332,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f247,f59]) ).

fof(f59,axiom,
    ~ between(u,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).

fof(f247,plain,
    ( between(u,v,x)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f58,f82]) ).

fof(f82,plain,
    ( v = w
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl0_1
  <=> v = w ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f58,axiom,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).

fof(f233,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f232]) ).

fof(f232,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f208,f59]) ).

fof(f208,plain,
    ( between(u,v,x)
    | ~ spl0_2 ),
    inference(resolution,[],[f204,f85]) ).

fof(f85,plain,
    ( ! [X2] :
        ( ~ between(v,w,X2)
        | between(u,v,X2) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_2
  <=> ! [X2] :
        ( ~ between(v,w,X2)
        | between(u,v,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f204,plain,
    between(v,w,x),
    inference(resolution,[],[f116,f57]) ).

fof(f57,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f116,plain,
    ! [X0] :
      ( ~ between(u,X0,w)
      | between(X0,w,x) ),
    inference(resolution,[],[f58,f53]) ).

fof(f53,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X5)
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).

fof(f86,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f77,f84,f80]) ).

fof(f77,plain,
    ! [X2] :
      ( ~ between(v,w,X2)
      | v = w
      | between(u,v,X2) ),
    inference(resolution,[],[f57,f55]) ).

fof(f55,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X5)
      | X3 = X5
      | ~ between(X3,X5,X0)
      | between(X10,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % 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   : Mon Aug 29 21:05:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (23007)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)
% 0.21/0.51  % (22999)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)
% 0.21/0.52  % (22991)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)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  TRYING [2]
% 0.21/0.52  TRYING [2]
% 0.21/0.52  % (22999)Instruction limit reached!
% 0.21/0.52  % (22999)------------------------------
% 0.21/0.52  % (22999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (22999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (22999)Termination reason: Unknown
% 0.21/0.52  % (22999)Termination phase: Finite model building constraint generation
% 0.21/0.52  
% 0.21/0.52  % (22999)Memory used [KB]: 6012
% 0.21/0.52  % (22999)Time elapsed: 0.059 s
% 0.21/0.52  % (22999)Instructions burned: 6 (million)
% 0.21/0.52  % (22999)------------------------------
% 0.21/0.52  % (22999)------------------------------
% 0.21/0.53  % (22991)First to succeed.
% 0.21/0.53  % (22989)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53  % (22991)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (22991)------------------------------
% 0.21/0.53  % (22991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (22991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (22991)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (22991)Memory used [KB]: 6012
% 0.21/0.53  % (22991)Time elapsed: 0.081 s
% 0.21/0.53  % (22991)Instructions burned: 12 (million)
% 0.21/0.53  % (22991)------------------------------
% 0.21/0.53  % (22991)------------------------------
% 0.21/0.53  % (22983)Success in time 0.175 s
%------------------------------------------------------------------------------