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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LAT021-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 : Fri Sep 25 01:58:07 PM UTC 2026

% Result   : Unsatisfiable 1.28s 1.74s
% Output   : CNFRefutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  81 unt;   0 def)
%            Number of atoms       :   81 (  80 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  208 (   0 sgn 208   !;   0   ?; 178   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : meet(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).

fof(f2,axiom,
    ! [X0] : join(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',commutativity_of_meet) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',commutativity_of_join) ).

fof(f5,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',associativity_of_meet) ).

fof(f6,axiom,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',associativity_of_join) ).

fof(f7,axiom,
    ! [X2,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',quasi_lattice1) ).

fof(f8,plain,
    ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
    inference(reorient_equations,[],[f7]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).

fof(f10,plain,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,meet(X1,X2)),join(X0,X1)),
    inference(reorient_equations,[],[f9]) ).

fof(f11,axiom,
    ! [X2,X0,X1] : join(join(X0,meet(X1,X2)),meet(join(X0,X1),X2)) = join(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bowden) ).

fof(f12,plain,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(join(X0,meet(X1,X2)),meet(join(X0,X1),X2)),
    inference(reorient_equations,[],[f11]) ).

fof(f13,negated_conjecture,
    meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).

tcf(c_59,plain,
    ! [X0: $i] : meet(X0,X0) = X0,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_60,plain,
    ! [X0: $i] : join(X0,X0) = X0,
    inference(cnf_transformation,[],[f2]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(join(X0,meet(X1,X2)),meet(join(X0,X1),X2)) = join(X0,meet(X1,X2)),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_68,negated_conjecture,
    join(meet(a,b),meet(a,c)) != meet(a,join(b,c)),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
    inference(superposition,[status(thm)],[c_63,c_61]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_59,c_63]) ).

tcf(c_92,plain,
    ! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_60,c_64]) ).

tcf(c_106,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_65,c_63,c_61,c_64,c_62]) ).

tcf(c_107,plain,
    ! [X0: $i,X1: $i] : join(X0,meet(X0,join(X0,X1))) = meet(X0,join(X0,X1)),
    inference(superposition,[status(thm)],[c_59,c_106]) ).

tcf(c_108,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X1,join(X0,X2))) = meet(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_61,c_106]) ).

tcf(c_114,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(join(X1,X2),X0)) = meet(join(X1,X2),X0),
    inference(superposition,[status(thm)],[c_61,c_106]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,join(X2,X1))) = meet(X0,join(X2,X1)),
    inference(superposition,[status(thm)],[c_62,c_106]) ).

tcf(c_128,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_66,c_63,c_61,c_64,c_62]) ).

tcf(c_130,plain,
    ! [X0: $i,X1: $i] : meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
    inference(superposition,[status(thm)],[c_60,c_128]) ).

tcf(c_131,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X1,meet(X0,X2))) = join(X1,meet(X0,X2)),
    inference(superposition,[status(thm)],[c_62,c_128]) ).

tcf(c_137,plain,
    ! [X0: $i,X1: $i] : meet(join(meet(X0,X1),X0),meet(X0,X1)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_60,c_128]) ).

tcf(c_142,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X2,X1)),
    inference(superposition,[status(thm)],[c_61,c_128]) ).

tcf(c_154,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X2),meet(join(X0,X1),X2))) = join(X0,meet(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_67,c_63,c_61,c_64,c_62]) ).

tcf(c_203,plain,
    ! [X0: $i,X1: $i] : meet(X0,meet(X1,join(X1,meet(X1,X0)))) = meet(X1,X0),
    inference(theory_normalisation,[status(thm)],[c_137,c_63,c_61,c_64,c_62]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(join(X0,X1),X2))) = join(X0,meet(join(X0,X1),X2)),
    inference(superposition,[status(thm)],[c_92,c_128]) ).

tcf(c_524,plain,
    ! [X0: $i,X1: $i] : meet(X0,join(X1,meet(X1,X0))) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_130,c_203]) ).

tcf(c_599,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X0,X1)),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
    inference(superposition,[status(thm)],[c_128,c_108]) ).

tcf(c_627,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(join(X0,X2),X1)) = meet(join(X0,X2),X1),
    inference(superposition,[status(thm)],[c_61,c_114]) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i] : join(X0,meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
    inference(superposition,[status(thm)],[c_59,c_119]) ).

tcf(c_673,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X1,join(X2,X0)),
    inference(superposition,[status(thm)],[c_61,c_119]) ).

tcf(c_683,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(join(X2,X1),X0)) = meet(join(X2,X1),X0),
    inference(superposition,[status(thm)],[c_61,c_119]) ).

tcf(c_703,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(meet(X0,X1),X0),meet(X0,join(X2,X1))) = meet(X0,join(X2,X1)),
    inference(superposition,[status(thm)],[c_119,c_128]) ).

tcf(c_749,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X1,X2),join(X0,meet(X0,X2)))) = meet(X0,join(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_703,c_63,c_61,c_64,c_62]) ).

tcf(c_750,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X2,meet(X2,X1))) = meet(X2,join(X0,X1)),
    inference(ac_demodulation,[status(thm)],[c_749,c_130,c_63,c_61,c_64,c_62]) ).

tcf(c_754,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X2),meet(X0,join(X0,X1)))) = join(X0,meet(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_599,c_63,c_61,c_64,c_62]) ).

tcf(c_755,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,join(X2,X0))) = join(X2,meet(X0,X1)),
    inference(ac_demodulation,[status(thm)],[c_754,c_107,c_63,c_61,c_64,c_62]) ).

tcf(c_1742,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(meet(X0,X2),X1)) = join(meet(X0,X2),X1),
    inference(superposition,[status(thm)],[c_62,c_131]) ).

tcf(c_1783,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X0)),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
    inference(superposition,[status(thm)],[c_131,c_108]) ).

tcf(c_1814,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X2),meet(X0,join(X1,X0)))) = join(X0,meet(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_1783,c_63,c_61,c_64,c_62]) ).

tcf(c_1815,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,join(X0,X2))) = join(X2,meet(X0,X1)),
    inference(ac_demodulation,[status(thm)],[c_1814,c_672,c_63,c_61,c_64,c_62]) ).

tcf(c_2896,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(join(X2,X0),X1)) = meet(join(X2,X0),X1),
    inference(superposition,[status(thm)],[c_61,c_683]) ).

tcf(c_3040,plain,
    ! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = join(X0,meet(X0,X1)),
    inference(superposition,[status(thm)],[c_750,c_142]) ).

tcf(c_3359,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,meet(join(X0,X1),X2)) = join(X0,meet(X1,X2)),
    inference(demodulation,[status(thm)],[c_154,c_2896]) ).

tcf(c_3360,plain,
    ! [X0: $i,X1: $i] : meet(X0,meet(X1,join(X1,X0))) = meet(X1,X0),
    inference(demodulation,[status(thm)],[c_524,c_3040]) ).

tcf(c_4146,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,meet(X2,join(X2,X0)))) = meet(X1,meet(X2,X0)),
    inference(superposition,[status(thm)],[c_3360,c_73]) ).

tcf(c_4158,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X2,X1)),
    inference(superposition,[status(thm)],[c_61,c_3359]) ).

tcf(c_4169,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(X1,X2)),
    inference(superposition,[status(thm)],[c_62,c_3359]) ).

tcf(c_4280,plain,
    ! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = join(X0,meet(X1,X0)),
    inference(superposition,[status(thm)],[c_755,c_673]) ).

tcf(c_4915,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X2,X0))) = join(X0,meet(X2,X1)),
    inference(superposition,[status(thm)],[c_61,c_4169]) ).

tcf(c_4980,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X2,join(X1,X0))),
    inference(superposition,[status(thm)],[c_4169,c_4158]) ).

tcf(c_4988,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X1,X2)),
    inference(demodulation,[status(thm)],[c_4980,c_4915]) ).

tcf(c_6073,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X2,X0))) = join(X0,meet(X1,X2)),
    inference(superposition,[status(thm)],[c_62,c_4988]) ).

tcf(c_6154,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(join(X0,X1),X2)),meet(join(X0,X1),X2)) = meet(join(X0,X1),X2),
    inference(superposition,[status(thm)],[c_627,c_1742]) ).

tcf(c_6372,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X1,X2),join(X1,meet(join(X1,X2),X0)))) = meet(join(X1,X2),X0),
    inference(theory_normalisation,[status(thm)],[c_6154,c_63,c_61,c_64,c_62]) ).

tcf(c_6373,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X0))) = meet(join(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_6372,c_437,c_3359]) ).

tcf(c_7430,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(join(X2,X0),X1)) = join(meet(X0,X1),meet(X1,X2)),
    inference(superposition,[status(thm)],[c_6373,c_6073]) ).

tcf(c_7431,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(join(X2,X0),X1)) = join(meet(X0,X1),meet(X2,X1)),
    inference(superposition,[status(thm)],[c_6373,c_4915]) ).

tcf(c_7473,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(meet(X2,X0),meet(X0,join(X0,X2)))) = join(meet(X2,X0),meet(X0,X1)),
    inference(superposition,[status(thm)],[c_4280,c_1815]) ).

tcf(c_7666,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(join(X2,X0),X1),
    inference(demodulation,[status(thm)],[c_7431,c_2896]) ).

tcf(c_7667,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(join(X0,X1),X1),X2) = join(meet(X1,X2),meet(X2,X0)),
    inference(demodulation,[status(thm)],[c_7430,c_7666]) ).

tcf(c_7668,plain,
    ! [X0: $i,X1: $i,X2: $i] : meet(join(X0,join(X1,X1)),X2) = join(meet(X1,X2),meet(X2,X0)),
    inference(theory_normalisation,[status(thm)],[c_7667,c_63,c_61,c_64,c_62]) ).

tcf(c_7669,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X1,X2)) = meet(join(X2,X0),X1),
    inference(demodulation,[status(thm)],[c_7668,c_60]) ).

tcf(c_7801,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(meet(X2,X0),meet(X0,join(X0,X2)))) = meet(join(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_7473,c_7669]) ).

tcf(c_7802,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,meet(X0,meet(X0,join(X0,X2))))) = meet(join(X1,X2),X0),
    inference(theory_normalisation,[status(thm)],[c_7801,c_63,c_61,c_64,c_62]) ).

tcf(c_7803,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,X2)) = meet(join(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_7802,c_89,c_4146]) ).

tcf(c_8024,plain,
    meet(join(b,c),a) != meet(a,join(b,c)),
    inference(demodulation,[status(thm)],[c_68,c_7803]) ).

tcf(c_8025,plain,
    $false,
    inference(theory_normalisation,[status(thm)],[c_8024,c_63,c_61,c_64,c_62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT021-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39  % Computer : n001.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Wed Sep 23 20:07:51 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43  Running UEQ theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44  
% 0.11/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44  
% 0.11/0.44  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 1.28/1.74  WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.28/1.74  % SZS status Started for theBenchmark.p
% 1.28/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.74  
% 1.28/1.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.28/1.74  
% 1.28/1.74  % ------  iProver source info
% 1.28/1.74  
% 1.28/1.74  % git: date: 2026-07-19 20:42:38 +0200
% 1.28/1.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.28/1.74  % git: non_committed_changes: false
% 1.28/1.74  
% 1.28/1.74  % ------ Parsing...% successful
% 1.28/1.74  
% 1.28/1.74  
% 1.28/1.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.28/1.74  % ------ Proving...
% 1.28/1.74  % ------ Problem Properties 
% 1.28/1.74  
% 1.28/1.74  % 
% 1.28/1.74  % clauses                               10
% 1.28/1.74  % conjectures                           1
% 1.28/1.74  % EPR                                   0
% 1.28/1.74  % Horn                                  10
% 1.28/1.74  % unary                                 10
% 1.28/1.74  % binary                                0
% 1.28/1.74  % lits                                  10
% 1.28/1.74  % lits eq                               10
% 1.28/1.74  % fd_pure                               0
% 1.28/1.74  % fd_pseudo                             0
% 1.28/1.74  % fd_cond                               0
% 1.28/1.74  % fd_pseudo_cond                        0
% 1.28/1.74  % AC symbols                            2
% 1.28/1.74  
% 1.28/1.74  % ------ Input Options Time Limit: Unbounded
% 1.28/1.74  
% 1.28/1.74  
% 1.28/1.74  % ------ 
% 1.28/1.74  % Current options:
% 1.28/1.74  % ------ 
% 1.28/1.74  
% 1.28/1.74  
% 1.28/1.74  % 
% 1.28/1.74  
% 1.28/1.74  % ------ Proving...
% 1.28/1.74  % 
% 1.28/1.74  
% 1.28/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.74  
% 1.28/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.28/1.75  
% 1.28/1.75  
%------------------------------------------------------------------------------