TSTP Solution File: SYN354-1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN354-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n016.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 19:37:39 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   35 (  17   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f19,f23]) ).

fof(f23,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f21]) ).

fof(f21,plain,
    ( $false
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f16,f1,f16,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ f(b,X0)
      | ~ f(a,X0)
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f1,axiom,
    f(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f16,plain,
    ( f(b,b)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_2
  <=> f(b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f19,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f18]) ).

fof(f18,plain,
    ( $false
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f1,f12]) ).

fof(f12,plain,
    ( ! [X0] : ~ f(X0,b)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> ! [X0] : ~ f(X0,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f17,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f14,f11]) ).

fof(f9,plain,
    ! [X0] :
      ( f(b,b)
      | ~ f(X0,b) ),
    inference(subsumption_resolution,[],[f8,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ g(b,z(X0,X1))
      | f(b,X1)
      | ~ g(X1,z(X0,X1))
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f8,plain,
    ! [X0] :
      ( g(b,z(X0,b))
      | ~ f(X0,b)
      | f(b,b) ),
    inference(factoring,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( g(b,z(X0,X1))
      | g(X1,z(X0,X1))
      | f(b,X1)
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN354-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:10:01 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (27117)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.48  % (27125)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49  % (27127)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.49  % (27128)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.49  % (27117)First to succeed.
% 0.19/0.50  % (27129)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50  % (27138)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.50  % (27117)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (27117)------------------------------
% 0.19/0.50  % (27117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (27117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (27117)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (27117)Memory used [KB]: 5373
% 0.19/0.50  % (27117)Time elapsed: 0.111 s
% 0.19/0.50  % (27117)Instructions burned: 1 (million)
% 0.19/0.50  % (27117)------------------------------
% 0.19/0.50  % (27117)------------------------------
% 0.19/0.50  % (27115)Success in time 0.158 s
%------------------------------------------------------------------------------