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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : PUZ153+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 02:01:18 PM UTC 2026

% Result   : CounterSatisfiable 0.11s 0.41s
% Output   : Saturation 0.11s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [H1,H2] :
      ( ( human(H2)
        & human(H1) )
     => created_equal(H1,H2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    human(john),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    grade_of(john) = f,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ? [H] :
      ( grade_of(H) = a
      & human(H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    a != f,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [G] : ~ human(grade_of(G)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,conjecture,
    ! [H1,H2] :
      ( ( created_equal(H1,H2)
        & human(H2)
        & human(H1) )
    <=> H1 = H2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ~ ! [H1,H2] :
        ( ( created_equal(H1,H2)
          & human(H2)
          & human(H1) )
      <=> H1 = H2 ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,plain,
    ! [H1,H2] :
      ( created_equal(H1,H2)
      | ~ human(H2)
      | ~ human(H1) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( created_equal(X0,X1)
      | ~ human(X1)
      | ~ human(X0) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f11,plain,
    human(john),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f12,plain,
    grade_of(john) = f,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f13,plain,
    ( grade_of(sK0_skl) = a
    & human(sK0_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(H,sK0_skl)],[f4]) ).

fof(f14,plain,
    human(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f15,plain,
    grade_of(sK0_skl) = a,
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f16,plain,
    a != f,
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f17,plain,
    ! [X0] : ~ human(grade_of(X0)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f18,plain,
    ? [H1,H2] :
      ( ( created_equal(H1,H2)
        & human(H2)
        & human(H1) )
    <~> H1 = H2 ),
    inference(pre_NNF_transformation,[status(thm)],[f8]) ).

fof(f19,plain,
    ? [H1,H2] :
      ( ( H1 != H2
        | ~ created_equal(H1,H2)
        | ~ human(H2)
        | ~ human(H1) )
      & ( H1 = H2
        | ( created_equal(H1,H2)
          & human(H2)
          & human(H1) ) ) ),
    inference(NNF_transformation,[status(thm)],[f18]) ).

fof(f20,plain,
    ( ( sK1_skl != sK2_skl
      | ~ created_equal(sK1_skl,sK2_skl)
      | ~ human(sK2_skl)
      | ~ human(sK1_skl) )
    & ( sK1_skl = sK2_skl
      | ( created_equal(sK1_skl,sK2_skl)
        & human(sK2_skl)
        & human(sK1_skl) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(H1,sK1_skl),skolemize(H2,sK2_skl)],[f19]) ).

fof(f21,plain,
    ( sK1_skl = sK2_skl
    | human(sK1_skl) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f22,plain,
    ( sK1_skl = sK2_skl
    | human(sK2_skl) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f23,plain,
    ( sK1_skl = sK2_skl
    | created_equal(sK1_skl,sK2_skl) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f24,plain,
    ( sK1_skl != sK2_skl
    | ~ created_equal(sK1_skl,sK2_skl)
    | ~ human(sK2_skl)
    | ~ human(sK1_skl) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f25,definition,
    ( sQ0_spl
  <=> human(sK1_skl) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f27,plain,
    ( sQ0_spl
    | ~ human(sK1_skl) ),
    inference(component_clause,[status(thm)],[f25]) ).

fof(f28,definition,
    ( sQ1_spl
  <=> sK1_skl = sK2_skl ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f29,plain,
    ( ~ sQ1_spl
    | sK1_skl = sK2_skl ),
    inference(component_clause,[status(thm)],[f28]) ).

fof(f31,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f21,f25,f28]) ).

fof(f32,definition,
    ( sQ2_spl
  <=> human(sK2_skl) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f35,plain,
    ( sQ1_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f22,f32,f28]) ).

fof(f36,definition,
    ( sQ3_spl
  <=> created_equal(sK1_skl,sK2_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f37,plain,
    ( ~ sQ3_spl
    | created_equal(sK1_skl,sK2_skl) ),
    inference(component_clause,[status(thm)],[f36]) ).

fof(f39,plain,
    ( sQ1_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f23,f36,f28]) ).

fof(f40,plain,
    ( ~ sQ1_spl
    | ~ sQ3_spl
    | ~ sQ2_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f24,f25,f32,f36,f28]) ).

fof(f41,plain,
    ( sQ0_spl
    | ~ sQ1_spl
    | ~ human(sK2_skl) ),
    inference(forward_demodulation,[status(thm)],[f29,f27]) ).

fof(f42,plain,
    ( ~ sQ3_spl
    | ~ sQ1_spl
    | created_equal(sK2_skl,sK2_skl) ),
    inference(forward_demodulation,[status(thm)],[f29,f37]) ).

fof(f43,plain,
    ! [X0] :
      ( created_equal(john,X0)
      | ~ human(X0) ),
    inference(resolution,[status(thm)],[f11,f10]) ).

fof(f44,plain,
    created_equal(john,john),
    inference(resolution,[status(thm)],[f43,f11]) ).

fof(f45,plain,
    created_equal(john,sK0_skl),
    inference(resolution,[status(thm)],[f14,f43]) ).

fof(f46,plain,
    ! [X0] :
      ( created_equal(sK0_skl,X0)
      | ~ human(X0) ),
    inference(resolution,[status(thm)],[f14,f10]) ).

fof(f47,plain,
    created_equal(sK0_skl,sK0_skl),
    inference(resolution,[status(thm)],[f46,f14]) ).

fof(f48,plain,
    created_equal(sK0_skl,john),
    inference(resolution,[status(thm)],[f46,f11]) ).

fof(f49,plain,
    ~ human(f),
    inference(paramodulation,[status(thm)],[f12,f17]) ).

fof(f50,plain,
    ~ human(a),
    inference(paramodulation,[status(thm)],[f15,f17]) ).

fof(model,axiom,
    ( ~ sQ0_spl
    | sQ1_spl
    | sQ3_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ153+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n006.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 03:53:57 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.39  % Drodi V4.1.1
% 0.11/0.41  % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.11/0.41  % SZS output start Saturation for theBenchmark
% See solution above
% 0.11/0.45  % Elapsed time: 0.060148 seconds
% 0.11/0.45  % CPU time: 0.167017 seconds
% 0.11/0.45  % Total memory used: 101.194 MB
% 0.11/0.45  % Net memory used: 100.723 MB
%------------------------------------------------------------------------------