TSTP Solution File: SWC385-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC385-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 : Tue Apr 30 20:45:35 EDT 2024

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  13 unt;   0 def)
%            Number of atoms       :   54 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  17   ~;  17   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f430,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f431,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f432,plain,
    neq(sk2,nil),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f433,plain,
    segmentP(sk4,sk3),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f434,plain,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f435,plain,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    inference(cnf_transformation,[status(esa)],[f195]) ).

fof(f443,plain,
    ( spl0_2
  <=> singletonP(sk3) ),
    introduced(split_symbol_definition) ).

fof(f444,plain,
    ( singletonP(sk3)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(split_symbol_definition) ).

fof(f448,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f449,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f434,f443,f446]) ).

fof(f450,plain,
    ( spl0_4
  <=> singletonP(sk1) ),
    introduced(split_symbol_definition) ).

fof(f452,plain,
    ( ~ singletonP(sk1)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f450]) ).

fof(f453,plain,
    ( spl0_5
  <=> segmentP(sk2,sk1) ),
    introduced(split_symbol_definition) ).

fof(f455,plain,
    ( ~ segmentP(sk2,sk1)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f453]) ).

fof(f456,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f435,f450,f453]) ).

fof(f488,plain,
    segmentP(sk2,sk3),
    inference(forward_demodulation,[status(thm)],[f430,f433]) ).

fof(f489,plain,
    segmentP(sk2,sk1),
    inference(forward_demodulation,[status(thm)],[f431,f488]) ).

fof(f512,plain,
    ( ~ neq(sk2,nil)
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f430,f448]) ).

fof(f513,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f512,f432]) ).

fof(f514,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f513]) ).

fof(f515,plain,
    ( singletonP(sk1)
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f431,f444]) ).

fof(f516,plain,
    ( $false
    | spl0_4
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f515,f452]) ).

fof(f517,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f516]) ).

fof(f519,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f455,f489]) ).

fof(f520,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f519]) ).

fof(f521,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f449,f456,f514,f517,f520]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC385-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 23:33:18 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.36  % Drodi V3.6.0
% 0.19/0.36  % Refutation found
% 0.19/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.37  % Elapsed time: 0.023677 seconds
% 0.19/0.37  % CPU time: 0.033775 seconds
% 0.19/0.37  % Total memory used: 14.243 MB
% 0.19/0.37  % Net memory used: 14.228 MB
%------------------------------------------------------------------------------