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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GRP567-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 12:34:41 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.59s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  102 ( 102 unt;   0 def)
%            Number of atoms       :  102 ( 101 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  196 ( 196   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A] : inverse(A) = double_divide(A,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A] : identity = double_divide(A,inverse(A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f7,plain,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f8,plain,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f9,plain,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f10,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f16,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity)) = X1,
    inference(backward_demodulation,[status(thm)],[f8,f6]) ).

fof(f17,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    inference(backward_demodulation,[status(thm)],[f8,f7]) ).

fof(f18,plain,
    ! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f8,f17]) ).

fof(f20,plain,
    ! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f17,f18]) ).

fof(f30,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(paramodulation,[status(thm)],[f9,f17]) ).

fof(f34,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
    inference(paramodulation,[status(thm)],[f17,f30]) ).

fof(f267,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(double_divide(X3,X1),double_divide(identity,inverse(identity)))),inverse(identity)) = X3,
    inference(paramodulation,[status(thm)],[f16,f16]) ).

fof(f270,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(identity,inverse(X0)))),inverse(identity)) = X1,
    inference(paramodulation,[status(thm)],[f9,f16]) ).

fof(f272,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(identity))),identity)),inverse(identity)) = X1,
    inference(paramodulation,[status(thm)],[f9,f16]) ).

fof(f277,plain,
    ! [X0,X1,X2] : multiply(inverse(identity),double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2)))) = inverse(X1),
    inference(paramodulation,[status(thm)],[f16,f17]) ).

fof(f286,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(double_divide(X3,X1),identity)),inverse(identity)) = X3,
    inference(forward_demodulation,[status(thm)],[f9,f267]) ).

fof(f287,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(double_divide(X3,X1))),inverse(identity)) = X3,
    inference(forward_demodulation,[status(thm)],[f8,f286]) ).

fof(f288,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),multiply(X1,X3)),inverse(identity)) = X3,
    inference(forward_demodulation,[status(thm)],[f17,f287]) ).

fof(f291,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),double_divide(identity,inverse(X0)))),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f270]) ).

fof(f293,plain,
    ! [X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,double_divide(X0,inverse(identity))))),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f272]) ).

fof(f294,plain,
    ! [X0,X1] : double_divide(double_divide(X0,multiply(double_divide(X0,inverse(identity)),X1)),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f17,f293]) ).

fof(f323,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(multiply(X1,X2),double_divide(X0,X3)),double_divide(identity,X3))),inverse(identity)),inverse(identity)) = double_divide(X2,X1),
    inference(paramodulation,[status(thm)],[f34,f288]) ).

fof(f324,plain,
    ! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(X1),double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity)),inverse(identity)) = X1,
    inference(paramodulation,[status(thm)],[f30,f288]) ).

fof(f368,plain,
    ! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = double_divide(X1,X0),
    inference(forward_demodulation,[status(thm)],[f16,f323]) ).

fof(f369,plain,
    ! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f16,f324]) ).

fof(f379,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(inverse(X0),identity)),inverse(identity)) = X0,
    inference(paramodulation,[status(thm)],[f9,f291]) ).

fof(f388,plain,
    ! [X0,X1] : multiply(inverse(identity),double_divide(X0,double_divide(inverse(X1),double_divide(identity,inverse(X0))))) = inverse(X1),
    inference(paramodulation,[status(thm)],[f291,f17]) ).

fof(f391,plain,
    ! [X0] : double_divide(double_divide(identity,inverse(inverse(X0))),inverse(identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f379]) ).

fof(f392,plain,
    ! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f18,f391]) ).

fof(f406,plain,
    ! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),double_divide(identity,inverse(identity)))),inverse(identity)) = X1,
    inference(paramodulation,[status(thm)],[f369,f16]) ).

fof(f410,plain,
    ! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(X0),
    inference(paramodulation,[status(thm)],[f369,f17]) ).

fof(f417,plain,
    ! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),identity)),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f9,f406]) ).

fof(f418,plain,
    ! [X0,X1] : double_divide(double_divide(inverse(X0),inverse(double_divide(X1,X0))),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f417]) ).

fof(f419,plain,
    ! [X0,X1] : double_divide(double_divide(inverse(X0),multiply(X0,X1)),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f17,f418]) ).

fof(f497,plain,
    ! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),double_divide(identity,X1))),inverse(X2)),inverse(identity)) = inverse(X2),
    inference(paramodulation,[status(thm)],[f410,f288]) ).

fof(f517,plain,
    ! [X0,X1] : multiply(inverse(identity),double_divide(X0,multiply(double_divide(X0,inverse(identity)),X1))) = inverse(X1),
    inference(paramodulation,[status(thm)],[f294,f17]) ).

fof(f534,plain,
    ! [X0] : multiply(inverse(identity),double_divide(identity,multiply(identity,X0))) = inverse(X0),
    inference(paramodulation,[status(thm)],[f392,f17]) ).

fof(f547,plain,
    ! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),double_divide(identity,X1))),inverse(X2)),inverse(identity)) = double_divide(identity,multiply(identity,X2)),
    inference(paramodulation,[status(thm)],[f534,f288]) ).

fof(f575,plain,
    ! [X0] : inverse(X0) = double_divide(identity,multiply(identity,X0)),
    inference(forward_demodulation,[status(thm)],[f497,f547]) ).

fof(f792,plain,
    ! [X0] : double_divide(double_divide(inverse(inverse(identity)),inverse(X0)),inverse(identity)) = inverse(X0),
    inference(paramodulation,[status(thm)],[f410,f419]) ).

fof(f838,plain,
    ! [X0] : double_divide(double_divide(multiply(identity,identity),inverse(X0)),inverse(identity)) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f18,f792]) ).

fof(f850,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
    inference(paramodulation,[status(thm)],[f368,f838]) ).

fof(f862,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(forward_demodulation,[status(thm)],[f8,f850]) ).

fof(f868,plain,
    ! [X0,X1] : double_divide(multiply(X0,X1),identity) = double_divide(X1,X0),
    inference(backward_demodulation,[status(thm)],[f928,f368]) ).

fof(f869,plain,
    ! [X0] : double_divide(inverse(X0),identity) = X0,
    inference(backward_demodulation,[status(thm)],[f928,f369]) ).

fof(f870,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),double_divide(identity,inverse(X0)))),identity) = X1,
    inference(backward_demodulation,[status(thm)],[f928,f291]) ).

fof(f905,plain,
    ! [X0,X1] : multiply(inverse(identity),double_divide(X0,multiply(double_divide(X0,identity),X1))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f928,f517]) ).

fof(f912,plain,
    ! [X0,X1] : multiply(identity,double_divide(X0,double_divide(inverse(X1),double_divide(identity,inverse(X0))))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f928,f388]) ).

fof(f923,plain,
    ! [X0,X1,X2] : multiply(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2)))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f928,f277]) ).

fof(f928,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[status(thm)],[f369,f862]) ).

fof(f995,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
    inference(forward_demodulation,[status(thm)],[f8,f868]) ).

fof(f996,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f869]) ).

fof(f998,plain,
    ! [X0] : inverse(X0) = double_divide(identity,X0),
    inference(backward_demodulation,[status(thm)],[f1004,f575]) ).

fof(f1004,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f18,f996]) ).

fof(f1005,plain,
    ! [X0,X1] : inverse(double_divide(X0,double_divide(inverse(X1),double_divide(identity,inverse(X0))))) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f870]) ).

fof(f1006,plain,
    ! [X0,X1] : multiply(double_divide(inverse(X0),double_divide(identity,inverse(X1))),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f17,f1005]) ).

fof(f1094,plain,
    ! [X0,X1] : multiply(identity,double_divide(X0,multiply(double_divide(X0,identity),X1))) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f928,f905]) ).

fof(f1095,plain,
    ! [X0,X1] : inverse(multiply(multiply(double_divide(X0,identity),X1),X0)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f20,f1094]) ).

fof(f1096,plain,
    ! [X0,X1] : double_divide(X0,multiply(double_divide(X0,identity),X1)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f995,f1095]) ).

fof(f1097,plain,
    ! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f8,f1096]) ).

fof(f1117,plain,
    ! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,inverse(X1))),X1)) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f20,f912]) ).

fof(f1118,plain,
    ! [X0,X1] : double_divide(X0,double_divide(inverse(X1),double_divide(identity,inverse(X0)))) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f995,f1117]) ).

fof(f1153,plain,
    ! [X0,X1,X2] : inverse(multiply(double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2)),X1)) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f20,f923]) ).

fof(f1159,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f995,f1153]) ).

fof(f1205,plain,
    ! [X0,X1] : double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f998,f1118]) ).

fof(f1206,plain,
    ! [X0,X1] : multiply(double_divide(inverse(X0),inverse(inverse(X1))),X1) = X0,
    inference(backward_demodulation,[status(thm)],[f998,f1006]) ).

fof(f1210,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f998,f1159]) ).

fof(f1218,plain,
    ! [X0,X1] : double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f18,f1205]) ).

fof(f1220,plain,
    ! [X0,X1] : double_divide(X0,double_divide(inverse(X1),X0)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f1004,f1218]) ).

fof(f1221,plain,
    ! [X0,X1] : multiply(double_divide(inverse(X0),multiply(identity,X1)),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f18,f1206]) ).

fof(f1224,plain,
    ! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f1004,f1221]) ).

fof(f1232,plain,
    ! [X0] : multiply(identity,inverse(inverse(X0))) = X0,
    inference(paramodulation,[status(thm)],[f9,f1224]) ).

fof(f1236,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f1004,f1232]) ).

fof(f1343,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f1236,f1220]) ).

fof(f1355,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f1236,f1343]) ).

fof(f1364,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(paramodulation,[status(thm)],[f1355,f1355]) ).

fof(f1507,plain,
    ! [X0,X1] : double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
    inference(paramodulation,[status(thm)],[f1097,f1364]) ).

fof(f1512,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f1364,f1210]) ).

fof(f1513,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(X1,inverse(X2))) = inverse(double_divide(double_divide(X0,X2),X1)),
    inference(paramodulation,[status(thm)],[f1364,f1210]) ).

fof(f1534,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
    inference(forward_demodulation,[status(thm)],[f1236,f1512]) ).

fof(f1538,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(X1,inverse(X2))) = multiply(X1,double_divide(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f17,f1513]) ).

fof(f1556,plain,
    ! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
    inference(paramodulation,[status(thm)],[f1355,f1534]) ).

fof(f1592,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f1236,f1507]) ).

fof(f1864,plain,
    ! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
    inference(paramodulation,[status(thm)],[f1592,f1556]) ).

fof(f1895,plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(backward_demodulation,[status(thm)],[f1907,f10]) ).

fof(f1907,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f1592,f1864]) ).

fof(f2397,plain,
    ! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = multiply(inverse(X2),double_divide(X0,X1)),
    inference(paramodulation,[status(thm)],[f1592,f1538]) ).

fof(f2435,plain,
    ! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = double_divide(inverse(double_divide(X0,X1)),X2),
    inference(forward_demodulation,[status(thm)],[f1507,f2397]) ).

fof(f2446,plain,
    ! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(X1,X0),X2),
    inference(forward_demodulation,[status(thm)],[f17,f2435]) ).

fof(f2581,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(X2,multiply(X1,X0))),
    inference(paramodulation,[status(thm)],[f2446,f17]) ).

fof(f2672,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X0),X2),
    inference(forward_demodulation,[status(thm)],[f17,f2581]) ).

fof(f2795,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f1907,f2672]) ).

fof(f2804,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
    inference(paramodulation,[status(thm)],[f1907,f2672]) ).

fof(f2818,plain,
    multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(backward_demodulation,[status(thm)],[f2795,f1895]) ).

fof(f2845,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f2672,f2804]) ).

fof(f2865,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(forward_demodulation,[status(thm)],[f2845,f2818]) ).

fof(f2866,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f2865]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP567-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 20:16:49 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.13/0.59  % Refutation found
% 0.13/0.59  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.39/0.61  % Elapsed time: 0.234126 seconds
% 1.39/0.61  % CPU time: 1.701554 seconds
% 1.39/0.61  % Total memory used: 48.912 MB
% 1.39/0.61  % Net memory used: 45.319 MB
%------------------------------------------------------------------------------