%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP407-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 01:26:06 PM UTC 2026
% Result : Unsatisfiable 0.11s 10.99s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 2
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 3 RR)
% Number of literals : 82 ( 81 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 276 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t1,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = X3,
inference(orient,[status(thm)],[t0]) ).
cnf(t2,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = multiply(X1,inverse(multiply(inverse(Y3),multiply(inverse(X2),multiply(inverse(X2),X2))))),
inference(cp,[status(thm)],[t1,t1]) ).
cnf(t4,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = multiply(X1,inverse(multiply(inverse(Y3),multiply(inverse(X2),multiply(inverse(X2),X2))))),
inference(orient,[status(thm)],[t2]) ).
cnf(t8,plain,
X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),multiply(inverse(X3),X3)))))),
inference(cp,[status(thm)],[t1,t4]) ).
cnf(t32,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(inverse(X2),X2)))))) = X3,
inference(orient,[status(thm)],[t8]) ).
cnf(t36,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),Y3) = multiply(inverse(multiply(Y4,X3)),multiply(Y4,multiply(X1,inverse(multiply(inverse(Y3),multiply(inverse(X2),multiply(inverse(X2),X2))))))),
inference(cp,[status(thm)],[t32,t4]) ).
cnf(t45,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,inverse(multiply(inverse(Y3),multiply(inverse(Y4),multiply(inverse(Y4),Y4))))))) = multiply(inverse(multiply(inverse(multiply(X3,Y4)),X2)),Y3),
inference(orient,[status(thm)],[t36]) ).
cnf(t50,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),Y3)) = multiply(inverse(multiply(Y4,X3)),multiply(Y4,Y3)),
inference(cp,[status(thm)],[t45,t1]) ).
cnf(t72,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),Y3)) = multiply(inverse(multiply(Y4,X3)),multiply(Y4,Y3)),
inference(orient,[status(thm)],[t50]) ).
cnf(t113,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(Y3,X2)),multiply(Y3,X3)),
inference(cp,[status(thm)],[t72,t72]) ).
cnf(t146,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(Y3,X2)),multiply(Y3,X3)),
inference(orient,[status(thm)],[t113]) ).
cnf(t169,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y4)),multiply(Y3,X3))),multiply(inverse(Y4),multiply(inverse(Y4),Y4)))),
inference(cp,[status(thm)],[t4,t146]) ).
cnf(t9047,plain,
X3 = inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y4)),multiply(Y3,X3))),multiply(inverse(Y4),multiply(inverse(Y4),Y4)))),
inference(step,[status(thm)],[t169,t1]) ).
cnf(t174,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = X3,
inference(orient,[status(thm)],[t9047]) ).
cnf(t209,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(Y3,multiply(inverse(multiply(inverse(multiply(Y4,X2)),multiply(Y4,Y3))),X3)),
inference(cp,[status(thm)],[t146,t174]) ).
cnf(t2696,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(Y3,multiply(inverse(multiply(inverse(multiply(Y4,X2)),multiply(Y4,Y3))),X3)),
inference(orient,[status(thm)],[t209]) ).
cnf(t2710,plain,
multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(inverse(multiply(Y5,X3)),multiply(Y5,Y4))),Y3)),
inference(cp,[status(thm)],[t2696,t174]) ).
cnf(t3080,plain,
multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(inverse(multiply(Y5,X3)),multiply(Y5,Y4))),Y3)),
inference(orient,[status(thm)],[t2710]) ).
cnf(t148,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,Y4)) = multiply(inverse(Y3),multiply(X2,Y4)),
inference(cp,[status(thm)],[t146,t1]) ).
cnf(t370,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,Y4)) = multiply(inverse(Y3),multiply(X2,Y4)),
inference(orient,[status(thm)],[t148]) ).
cnf(t3112,plain,
multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),Y4)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))))),multiply(X2,X1))),Y5)) = multiply(Y6,multiply(inverse(multiply(inverse(Y4),multiply(X3,Y6))),Y5)),
inference(cp,[status(thm)],[t3080,t370]) ).
cnf(t9049,plain,
multiply(X1,multiply(inverse(multiply(inverse(Y4),multiply(X3,X1))),Y5)) = multiply(Y6,multiply(inverse(multiply(inverse(Y4),multiply(X3,Y6))),Y5)),
inference(step,[status(thm)],[t3112,t370]) ).
cnf(t3275,plain,
multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(inverse(X2),multiply(X3,Y4))),Y3)),
inference(orient,[status(thm)],[t9049]) ).
cnf(t152,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),Y4)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))))) = multiply(inverse(multiply(X3,X2)),Y4),
inference(cp,[status(thm)],[t146,t1]) ).
cnf(t443,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),Y4)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))))) = multiply(inverse(multiply(X3,X2)),Y4),
inference(orient,[status(thm)],[t152]) ).
cnf(t3285,plain,
multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y4)),Y5)),multiply(inverse(Y4),multiply(inverse(Y4),Y4))))))) = multiply(Y6,multiply(inverse(multiply(Y3,multiply(X3,Y6))),Y5)),
inference(cp,[status(thm)],[t3275,t443]) ).
cnf(t9050,plain,
multiply(X1,multiply(inverse(multiply(Y3,multiply(X3,X1))),Y5)) = multiply(Y6,multiply(inverse(multiply(Y3,multiply(X3,Y6))),Y5)),
inference(step,[status(thm)],[t3285,t443]) ).
cnf(t3459,plain,
multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(X2,multiply(X3,Y4))),Y3)),
inference(orient,[status(thm)],[t9050]) ).
cnf(t3535,plain,
multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,Y3))))),Y4) = multiply(X3,inverse(multiply(inverse(multiply(Y5,multiply(inverse(multiply(X1,multiply(X2,Y5))),Y4))),multiply(inverse(Y3),multiply(inverse(Y3),Y3))))),
inference(cp,[status(thm)],[t1,t3459]) ).
cnf(t4074,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(Y3,X2))),Y4))),multiply(inverse(Y5),multiply(inverse(Y5),Y5))))) = multiply(inverse(multiply(X3,multiply(Y3,inverse(multiply(X1,Y5))))),Y4),
inference(orient,[status(thm)],[t3535]) ).
cnf(t4085,plain,
multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,Y3))))),Y4) = multiply(X3,inverse(multiply(inverse(multiply(Y5,multiply(inverse(multiply(X1,multiply(X2,inverse(Y3)))),Y4))),multiply(Y5,multiply(inverse(Y3),Y3))))),
inference(cp,[status(thm)],[t4074,t146]) ).
cnf(t4306,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(Y3,inverse(Y4)))),Y5))),multiply(X2,multiply(inverse(Y4),Y4))))) = multiply(inverse(multiply(X3,multiply(Y3,inverse(multiply(X1,Y4))))),Y5),
inference(orient,[status(thm)],[t4085]) ).
cnf(t195,plain,
multiply(inverse(X1),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,multiply(inverse(multiply(X2,X3)),multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))))),
inference(cp,[status(thm)],[t1,t174]) ).
cnf(t6217,plain,
multiply(inverse(X1),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,multiply(inverse(multiply(X2,X3)),multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))))),
inference(orient,[status(thm)],[t195]) ).
cnf(t6629,plain,
X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),multiply(inverse(X3),multiply(inverse(X3),X3))),
inference(cp,[status(thm)],[t32,t6217]) ).
cnf(t6681,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),multiply(inverse(X2),multiply(inverse(X2),X2))) = X3,
inference(orient,[status(thm)],[t6629]) ).
cnf(t6872,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X3,Y3))))),multiply(inverse(X2),multiply(inverse(X2),X2))) = multiply(X3,inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,multiply(inverse(Y3),Y3))))),
inference(cp,[status(thm)],[t4306,t6681]) ).
cnf(t9051,plain,
multiply(X3,Y3) = multiply(X3,inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t6872,t6681]) ).
cnf(t6914,plain,
multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X3),X3))))) = multiply(X1,X3),
inference(orient,[status(thm)],[t9051]) ).
cnf(t7020,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,X2))),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))),
inference(cp,[status(thm)],[t174,t6914]) ).
cnf(t9060,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X2),X2)))) = X2,
inference(step,[status(thm)],[t7020,t174]) ).
cnf(t7577,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X2),X2)))) = X2,
inference(orient,[status(thm)],[t9060]) ).
cnf(t159,plain,
multiply(inverse(X1),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(multiply(inverse(multiply(Y3,X2)),multiply(Y3,multiply(inverse(X1),X1)))))),
inference(cp,[status(thm)],[t32,t146]) ).
cnf(t219,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,multiply(inverse(X2),X2)))))) = multiply(inverse(X2),Y3),
inference(orient,[status(thm)],[t159]) ).
cnf(t7047,plain,
multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X1)),multiply(X2,X1)),
inference(cp,[status(thm)],[t219,t6914]) ).
cnf(t7140,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X2),X2),
inference(orient,[status(thm)],[t7047]) ).
cnf(t7161,plain,
multiply(inverse(multiply(inverse(X1),multiply(inverse(X1),X1))),multiply(inverse(X1),multiply(inverse(X1),X1))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))),
inference(cp,[status(thm)],[t7140,t6681]) ).
cnf(t9057,plain,
multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))),
inference(step,[status(thm)],[t7161,t7140]) ).
cnf(t9058,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))),
inference(step,[status(thm)],[t9057,t7140]) ).
cnf(t9059,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(step,[status(thm)],[t9058,t6681]) ).
cnf(t7376,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(orient,[status(thm)],[t9059]) ).
cnf(t7658,plain,
X1 = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3)))),
inference(cp,[status(thm)],[t7577,t7376]) ).
cnf(t8056,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X3),X3)))) = X2,
inference(orient,[status(thm)],[t7658]) ).
cnf(t8166,plain,
multiply(inverse(X1),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(cp,[status(thm)],[t32,t8056]) ).
cnf(t8546,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3),
inference(orient,[status(thm)],[t8166]) ).
cnf(t8589,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(Y3),X3)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))),
inference(cp,[status(thm)],[t4,t8546]) ).
cnf(t9103,plain,
X3 = inverse(multiply(inverse(multiply(inverse(Y3),X3)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))),
inference(step,[status(thm)],[t8589,t1]) ).
cnf(t9104,plain,
X3 = inverse(multiply(inverse(X3),multiply(inverse(Y3),Y3))),
inference(step,[status(thm)],[t9103,t8546]) ).
cnf(t8614,plain,
inverse(multiply(inverse(X1),multiply(inverse(X2),X2))) = X1,
inference(orient,[status(thm)],[t9104]) ).
cnf(t8636,plain,
X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(cp,[status(thm)],[t1,t8614]) ).
cnf(t9105,plain,
X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))))),
inference(step,[status(thm)],[t8636,t8546]) ).
cnf(t9106,plain,
X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),multiply(inverse(X3),X3)))),
inference(step,[status(thm)],[t9105,t8546]) ).
cnf(t9107,plain,
X1 = multiply(inverse(X2),multiply(X2,X1)),
inference(step,[status(thm)],[t9106,t8614]) ).
cnf(t8658,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t9107]) ).
cnf(t8671,plain,
multiply(X1,X2) = multiply(inverse(inverse(X1)),X2),
inference(cp,[status(thm)],[t8658,t8658]) ).
cnf(t8693,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(orient,[status(thm)],[t8671]) ).
cnf(t8694,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(cp,[status(thm)],[t8693,t8658]) ).
cnf(t8900,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t8694]) ).
cnf(t8906,plain,
X1 = multiply(X1,multiply(inverse(X2),X2)),
inference(cp,[status(thm)],[t8900,t7376]) ).
cnf(t8967,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(orient,[status(thm)],[t8906]) ).
cnf(t8968,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(cp,[status(thm)],[t8967,t8546]) ).
cnf(t9013,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(orient,[status(thm)],[t8968]) ).
cnf(t9018,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t9013,t8967]) ).
cnf(t9118,plain,
multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)),
inference(step,[status(thm)],[t9018,t9013]) ).
cnf(t8916,plain,
X1 = inverse(inverse(X1)),
inference(cp,[status(thm)],[t8614,t8900]) ).
cnf(t8941,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t8916]) ).
cnf(t9119,plain,
multiply(multiply(inverse(X1),X1),X2) = X2,
inference(step,[status(thm)],[t9118,t8941]) ).
cnf(t9034,plain,
multiply(multiply(inverse(X1),X1),X2) = X2,
inference(orient,[status(thm)],[t9119]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
a2 != a2,
inference(rw,[status(thm)],[goal_0,t9034]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP407-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/10.36 % Computer : n012.cluster.edu
% 0.08/10.36 % Model : x86_64 x86_64
% 0.08/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.36 % Memory : 8046.5625MB
% 0.08/10.36 % OS : Linux 6.8.0-71-generic
% 0.08/10.36 % CPULimit : 300
% 0.08/10.36 % WCLimit : 300
% 0.08/10.36 % DateTime : Wed Sep 23 14:41:00 UTC 2026
% 0.08/10.36 % CPUTime :
% 0.08/10.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/10.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------