%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN063-1 : 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_sat --cores 0 -t %d %s

% Computer : n027.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 19:36:44 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   4 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   47 (  18   ~;  24   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f33,f34,f36,f38,f40]) ).

fof(f40,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | ~ spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f29,f15]) ).

fof(f15,plain,
    ( ! [X0] : big_p(X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_2
  <=> ! [X0] : big_p(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f29,plain,
    ( ~ big_p(e)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_5
  <=> big_p(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f38,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | ~ spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f19,f15]) ).

fof(f19,plain,
    ( ~ big_p(d)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_3
  <=> big_p(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f36,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f35,f21,f10]) ).

fof(f10,plain,
    ( spl0_1
  <=> big_p(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f21,plain,
    ( spl0_4
  <=> big_p(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f35,plain,
    ( big_p(c)
    | ~ big_p(b) ),
    inference(subsumption_resolution,[],[f3,f1]) ).

fof(f1,axiom,
    big_p(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f3,axiom,
    ( ~ big_p(a)
    | big_p(c)
    | ~ big_p(b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f34,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f4,f21]) ).

fof(f4,axiom,
    ~ big_p(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f33,plain,
    ( ~ spl0_3
    | spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f5,f27,f10,f17]) ).

fof(f5,axiom,
    ( ~ big_p(e)
    | big_p(b)
    | ~ big_p(d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f32,plain,
    ( spl0_2
    | spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f31,f21,f14,f14]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( big_p(c)
      | big_p(X0)
      | big_p(X1) ),
    inference(subsumption_resolution,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( big_p(c)
      | big_p(X1)
      | ~ big_p(a)
      | big_p(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN063-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32  % Computer : n027.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue Aug 30 21:41:16 EDT 2022
% 0.13/0.32  % CPUTime    : 
% 0.18/0.42  % (2426)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.43  % (2426)First to succeed.
% 0.18/0.44  % (2434)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.44  % (2426)Refutation found. Thanks to Tanya!
% 0.18/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.44  % (2426)------------------------------
% 0.18/0.44  % (2426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.44  % (2426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.44  % (2426)Termination reason: Refutation
% 0.18/0.44  
% 0.18/0.44  % (2426)Memory used [KB]: 5373
% 0.18/0.44  % (2426)Time elapsed: 0.004 s
% 0.18/0.44  % (2426)Instructions burned: 1 (million)
% 0.18/0.44  % (2426)------------------------------
% 0.18/0.44  % (2426)------------------------------
% 0.18/0.44  % (2421)Success in time 0.109 s
%------------------------------------------------------------------------------