TSTP Solution File: SWC205-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC205-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:44:56 EDT 2024

% Result   : Unsatisfiable 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   42 (  15 unt;   0 def)
%            Number of atoms       :   77 (  19 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   64 (  29   ~;  30   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    ! [U,V] :
      ( ~ ssList(U)
      | ~ ssList(V)
      | neq(V,U)
      | V = U ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f186,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f193,negated_conjecture,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f203,plain,
    ssList(nil),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f298,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    inference(cnf_transformation,[status(esa)],[f100]) ).

fof(f426,plain,
    ssList(sk1),
    inference(cnf_transformation,[status(esa)],[f186]) ).

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,
    ~ neq(sk1,nil),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f434,plain,
    ( nil = sk4
    | nil != sk3 ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f443,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(split_symbol_definition) ).

fof(f444,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(split_symbol_definition) ).

fof(f448,plain,
    ( nil != sk3
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f446]) ).

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

fof(f482,plain,
    ( spl0_4
  <=> ssList(nil) ),
    introduced(split_symbol_definition) ).

fof(f484,plain,
    ( ~ ssList(nil)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f482]) ).

fof(f485,plain,
    ( spl0_5
  <=> ssList(sk1) ),
    introduced(split_symbol_definition) ).

fof(f487,plain,
    ( ~ ssList(sk1)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f488,plain,
    ( spl0_6
  <=> sk1 = nil ),
    introduced(split_symbol_definition) ).

fof(f489,plain,
    ( sk1 = nil
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f491,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk1)
    | sk1 = nil ),
    inference(resolution,[status(thm)],[f298,f433]) ).

fof(f492,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f491,f482,f485,f488]) ).

fof(f493,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f487,f426]) ).

fof(f494,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f493]) ).

fof(f495,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f484,f203]) ).

fof(f496,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f495]) ).

fof(f509,plain,
    ( nil = sk2
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f430,f444]) ).

fof(f510,plain,
    ( neq(nil,nil)
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f509,f432]) ).

fof(f528,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f489,f433]) ).

fof(f533,plain,
    ( nil = sk3
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f489,f431]) ).

fof(f534,plain,
    ( $false
    | spl0_3
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f533,f448]) ).

fof(f535,plain,
    ( spl0_3
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f534]) ).

fof(f536,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f510,f528]) ).

fof(f537,plain,
    ( ~ spl0_6
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f536]) ).

fof(f538,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f449,f492,f494,f496,f535,f537]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SWC205-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n008.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue Apr 30 00:08:27 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.017540 seconds
% 0.07/0.28  % CPU time: 0.027027 seconds
% 0.07/0.28  % Total memory used: 14.268 MB
% 0.07/0.28  % Net memory used: 14.243 MB
%------------------------------------------------------------------------------