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Drodi-SAT---4.1.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN306-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:19:18 PM UTC 2026

% Result   : Satisfiable 0.09s 0.39s
% Output   : Saturation 0.09s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X] :
      ( q(g(X,X))
      | p(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [Y,X] :
      ( r(X,Y)
      | ~ q(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ( ~ r(f(b),a)
    | ~ r(a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X,Y] : r(f(X),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X] :
      ( ~ p(f(X))
      | p(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ~ p(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0] :
      ( q(g(X0,X0))
      | p(X0) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f8,plain,
    ! [Y] :
      ( ! [X] : r(X,Y)
      | ~ q(Y) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( r(X1,X0)
      | ~ q(X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f10,plain,
    ( ~ r(f(b),a)
    | ~ r(a,a) ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f11,plain,
    ! [X0,X1] : r(f(X0),X1),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ p(f(X0))
      | p(X0) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f13,plain,
    ~ p(a),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f14,definition,
    ( sQ0_spl
  <=> r(a,a) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f16,plain,
    ( sQ0_spl
    | ~ r(a,a) ),
    inference(component_clause,[status(thm)],[f14]) ).

fof(f17,definition,
    ( sQ1_spl
  <=> r(f(b),a) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f20,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f10,f14,f17]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( p(X1)
      | r(X0,g(X1,X1)) ),
    inference(resolution,[status(thm)],[f9,f7]) ).

fof(model,axiom,
    ~ sQ0_spl ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN306-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n018.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 10:50:44 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.39  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.39  % SZS output start Saturation for theBenchmark
% See solution above
% 0.09/0.41  % Elapsed time: 0.040018 seconds
% 0.09/0.41  % CPU time: 0.101753 seconds
% 0.09/0.41  % Total memory used: 14.935 MB
% 0.09/0.41  % Net memory used: 14.394 MB
%------------------------------------------------------------------------------