TSTP Solution File: ALG365-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n028.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 15:41:36 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   4   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-5 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f493,plain,
    $false,
    inference(avatar_sat_refutation,[],[f486,f487,f492]) ).

fof(f492,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f491]) ).

fof(f491,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f385,f480]) ).

fof(f480,plain,
    ( ! [X11] : ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X11,tc_RealDef_Oreal)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f479,plain,
    ( spl0_1
  <=> ! [X11] : ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X11,tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f385,axiom,
    c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f487,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f386,f482]) ).

fof(f482,plain,
    ( spl0_2
  <=> v_thesis____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f386,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f486,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f340,f482,f479]) ).

fof(f340,axiom,
    ! [X3] :
      ( v_thesis____
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % 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 : n028.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   : Mon Aug 29 15:16:17 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  % (8067)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)
% 0.18/0.48  % (8059)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.48  % (8059)First to succeed.
% 0.18/0.48  % (8067)Also succeeded, but the first one will report.
% 0.18/0.48  % (8059)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (8059)------------------------------
% 0.18/0.48  % (8059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (8059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (8059)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (8059)Memory used [KB]: 6396
% 0.18/0.48  % (8059)Time elapsed: 0.076 s
% 0.18/0.48  % (8059)Instructions burned: 4 (million)
% 0.18/0.48  % (8059)------------------------------
% 0.18/0.48  % (8059)------------------------------
% 0.18/0.48  % (8041)Success in time 0.142 s
%------------------------------------------------------------------------------