TSTP Solution File: SWV001-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV001-1 : 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 : 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 18:43:47 EDT 2022

% Result   : Unsatisfiable 0.14s 0.46s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   38 (   4 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  103 (  54   ~;  45   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(avatar_sat_refutation,[],[f27,f46,f76,f78,f85]) ).

fof(f85,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f84]) ).

fof(f84,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f79,f54]) ).

fof(f54,plain,
    ( less_or_equalish(a,b)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f12,f22,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( q3(X0,X1,X2)
      | less_or_equalish(X0,X1)
      | ~ q1(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f22,plain,
    ( ! [X0] : ~ q3(a,b,X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_1
  <=> ! [X0] : ~ q3(a,b,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f12,axiom,
    q1(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f79,plain,
    ( ~ less_or_equalish(a,b)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f12,f71,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( q2(X0,X1,X2)
      | ~ less_or_equalish(X0,X1)
      | ~ q1(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f71,plain,
    ( ! [X1] : ~ q2(a,b,X1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_3
  <=> ! [X1] : ~ q2(a,b,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f78,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f77,plain,
    ( $false
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f75,f54]) ).

fof(f75,plain,
    ( ~ less_or_equalish(a,b)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_4
  <=> less_or_equalish(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f76,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f48,f73,f70]) ).

fof(f48,plain,
    ! [X1] :
      ( ~ less_or_equalish(a,b)
      | ~ q2(a,b,X1) ),
    inference(subsumption_resolution,[],[f40,f7]) ).

fof(f7,axiom,
    ! [X0] : less_or_equalish(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_reflexivity) ).

fof(f40,plain,
    ! [X1] :
      ( ~ less_or_equalish(b,b)
      | ~ q2(a,b,X1)
      | ~ less_or_equalish(a,b) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X1] :
      ( ~ less_or_equalish(b,b)
      | ~ less_or_equalish(a,b)
      | ~ less_or_equalish(b,b)
      | ~ q2(a,b,X1) ),
    inference(resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( q4(X0,X1,X1)
      | ~ q2(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f14,axiom,
    ! [X3] :
      ( ~ q4(a,b,X3)
      | ~ less_or_equalish(b,X3)
      | ~ less_or_equalish(a,X3)
      | ~ less_or_equalish(X3,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f46,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f43,f33]) ).

fof(f33,plain,
    ( less_or_equalish(a,b)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f26,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( less_or_equalish(X1,X0)
      | less_or_equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_less_or_equal) ).

fof(f26,plain,
    ( ~ less_or_equalish(b,a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_2
  <=> less_or_equalish(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f43,plain,
    ( ~ less_or_equalish(a,b)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f12,f42,f3]) ).

fof(f42,plain,
    ( ! [X1] : ~ q2(a,b,X1)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f41,f7]) ).

fof(f41,plain,
    ( ! [X1] :
        ( ~ less_or_equalish(b,b)
        | ~ q2(a,b,X1) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f40,f33]) ).

fof(f27,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f18,f24,f21]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ less_or_equalish(b,a)
      | ~ q3(a,b,X0) ),
    inference(subsumption_resolution,[],[f17,f7]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ less_or_equalish(b,a)
      | ~ q3(a,b,X0)
      | ~ less_or_equalish(a,a) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ less_or_equalish(b,a)
      | ~ less_or_equalish(a,a)
      | ~ q3(a,b,X0)
      | ~ less_or_equalish(a,a) ),
    inference(resolution,[],[f13,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( q4(X0,X1,X0)
      | ~ q3(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f13,axiom,
    ! [X3] :
      ( ~ q4(a,b,X3)
      | ~ less_or_equalish(a,X3)
      | ~ less_or_equalish(X3,a)
      | ~ less_or_equalish(b,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 18:54:41 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.43  % (29231)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.45  % (29240)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)
% 0.14/0.45  Detected maximum model sizes of [3]
% 0.14/0.45  TRYING [1]
% 0.14/0.45  TRYING [2]
% 0.14/0.45  % (29247)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)
% 0.14/0.45  % (29248)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)
% 0.14/0.45  % (29247)First to succeed.
% 0.14/0.45  % (29248)Also succeeded, but the first one will report.
% 0.14/0.46  % (29247)Refutation found. Thanks to Tanya!
% 0.14/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46  % (29247)------------------------------
% 0.14/0.46  % (29247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (29247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (29247)Termination reason: Refutation
% 0.14/0.46  
% 0.14/0.46  % (29247)Memory used [KB]: 5884
% 0.14/0.46  % (29247)Time elapsed: 0.100 s
% 0.14/0.46  % (29247)Instructions burned: 2 (million)
% 0.14/0.46  % (29247)------------------------------
% 0.14/0.46  % (29247)------------------------------
% 0.14/0.46  % (29224)Success in time 0.148 s
%------------------------------------------------------------------------------