%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Sun Sep 27 07:27:22 AM UTC 2026
% Result : Unsatisfiable 2.99s 0.88s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 89
% Number of leaves : 3
% Syntax : Number of formulae : 249 ( 249 unt; 0 def)
% Number of atoms : 249 ( 248 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 358 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(single_axiom,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(VAR_0,multiply(multiply(VAR_0,multiply(multiply(VAR_0,VAR_0),multiply(VAR_1,VAR_2))),multiply(VAR_2,multiply(VAR_2,VAR_2)))) = VAR_1,
file('theBenchmark.p',single_axiom) ).
cnf(c_1,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B,
inference(clausify,[status(thm)],[single_axiom]) ).
fof(single_axiom2,axiom,
multiply(identity,identity) = identity,
file('theBenchmark.p',single_axiom2) ).
cnf(c_2,plain,
multiply(identity,identity) = identity,
inference(clausify,[status(thm)],[single_axiom2]) ).
fof(prove_order4,axiom,
multiply(a,multiply(a,multiply(a,a))) != identity,
file('theBenchmark.p',prove_order4) ).
cnf(c_3,plain,
multiply(a,multiply(a,multiply(a,a))) != identity,
inference(clausify,[status(thm)],[prove_order4]) ).
cnf(c_4,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B)))) = A,
inference(paramod,[status(thm)],[c_2,c_1]) ).
cnf(c_219,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,identity))),multiply(identity,identity))) = B,
inference(paramod,[status(thm)],[c_2,c_1]) ).
cnf(c_6,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,identity))),identity)) = B,
inference(paramod,[status(thm)],[c_2,c_219]) ).
cnf(c_220,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,identity))),multiply(identity,identity))) = A,
inference(paramod,[status(thm)],[c_2,c_4]) ).
cnf(c_7,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,identity))),identity)) = A,
inference(paramod,[status(thm)],[c_2,c_220]) ).
cnf(c_221,plain,
multiply(A,multiply(multiply(A,B),multiply(identity,multiply(identity,identity)))) = multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity))),
inference(paramod,[status(thm)],[c_6,c_1]) ).
cnf(c_222,plain,
multiply(A,multiply(multiply(A,B),multiply(identity,identity))) = multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity))),
inference(paramod,[status(thm)],[c_2,c_221]) ).
cnf(c_223,plain,
multiply(A,multiply(multiply(A,B),identity)) = multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity))),
inference(paramod,[status(thm)],[c_2,c_222]) ).
cnf(c_9,plain,
multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity))) = multiply(A,multiply(multiply(A,B),identity)),
inference(copy,[status(thm)],[c_223]) ).
cnf(c_224,plain,
multiply(identity,multiply(multiply(identity,A),multiply(identity,multiply(identity,identity)))) = multiply(identity,multiply(multiply(identity,identity),multiply(A,identity))),
inference(paramod,[status(thm)],[c_6,c_4]) ).
cnf(c_225,plain,
multiply(identity,multiply(multiply(identity,A),multiply(identity,identity))) = multiply(identity,multiply(multiply(identity,identity),multiply(A,identity))),
inference(paramod,[status(thm)],[c_2,c_224]) ).
cnf(c_226,plain,
multiply(identity,multiply(multiply(identity,A),identity)) = multiply(identity,multiply(multiply(identity,identity),multiply(A,identity))),
inference(paramod,[status(thm)],[c_2,c_225]) ).
cnf(c_10,plain,
multiply(identity,multiply(multiply(identity,A),identity)) = multiply(identity,multiply(identity,multiply(A,identity))),
inference(paramod,[status(thm)],[c_2,c_226]) ).
cnf(c_227,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),identity))) = A,
inference(paramod,[status(thm)],[c_10,c_7]) ).
cnf(c_11,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))) = A,
inference(paramod,[status(thm)],[c_10,c_227]) ).
cnf(c_228,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,identity))),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,A),identity),identity))),
inference(paramod,[status(thm)],[c_10,c_10]) ).
cnf(c_229,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,A),identity),identity))),
inference(paramod,[status(thm)],[c_10,c_228]) ).
cnf(c_230,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,A),identity),identity))),
inference(paramod,[status(thm)],[c_10,c_229]) ).
cnf(c_231,plain,
A = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,A),identity),identity))),
inference(paramod,[status(thm)],[c_11,c_230]) ).
cnf(c_13,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,A),identity),identity))) = A,
inference(copy,[status(thm)],[c_231]) ).
cnf(c_232,plain,
multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))) = multiply(multiply(identity,multiply(multiply(identity,identity),multiply(A,B))),multiply(B,multiply(B,B))),
inference(paramod,[status(thm)],[c_1,c_13]) ).
cnf(c_233,plain,
multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B))),
inference(paramod,[status(thm)],[c_2,c_232]) ).
cnf(c_14,plain,
multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B))) = multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),
inference(copy,[status(thm)],[c_233]) ).
cnf(c_234,plain,
multiply(identity,multiply(A,multiply(identity,multiply(identity,identity)))) = multiply(multiply(identity,A),identity),
inference(paramod,[status(thm)],[c_13,c_4]) ).
cnf(c_235,plain,
multiply(identity,multiply(A,multiply(identity,identity))) = multiply(multiply(identity,A),identity),
inference(paramod,[status(thm)],[c_2,c_234]) ).
cnf(c_236,plain,
multiply(identity,multiply(A,identity)) = multiply(multiply(identity,A),identity),
inference(paramod,[status(thm)],[c_2,c_235]) ).
cnf(c_15,plain,
multiply(multiply(identity,A),identity) = multiply(identity,multiply(A,identity)),
inference(copy,[status(thm)],[c_236]) ).
cnf(c_237,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(identity,multiply(B,identity)))),multiply(identity,multiply(identity,identity)))) = multiply(identity,B),
inference(paramod,[status(thm)],[c_15,c_1]) ).
cnf(c_238,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(identity,multiply(B,identity)))),multiply(identity,identity))) = multiply(identity,B),
inference(paramod,[status(thm)],[c_2,c_237]) ).
cnf(c_16,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(identity,multiply(B,identity)))),identity)) = multiply(identity,B),
inference(paramod,[status(thm)],[c_2,c_238]) ).
cnf(c_239,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(A,B),identity)),multiply(identity,multiply(identity,identity)))) = B,
inference(paramod,[status(thm)],[c_9,c_1]) ).
cnf(c_240,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(A,B),identity)),multiply(identity,identity))) = B,
inference(paramod,[status(thm)],[c_2,c_239]) ).
cnf(c_20,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(A,B),identity)),identity)) = B,
inference(paramod,[status(thm)],[c_2,c_240]) ).
cnf(c_241,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(A,multiply(A,A))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(paramod,[status(thm)],[c_2,c_14]) ).
cnf(c_242,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(A,multiply(A,A))) = multiply(identity,multiply(identity,identity)),
inference(paramod,[status(thm)],[c_2,c_241]) ).
cnf(c_243,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(A,multiply(A,A))) = multiply(identity,identity),
inference(paramod,[status(thm)],[c_2,c_242]) ).
cnf(c_24,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(A,multiply(A,A))) = identity,
inference(paramod,[status(thm)],[c_2,c_243]) ).
cnf(c_244,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),B))),multiply(B,multiply(B,B))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),identity))),
inference(paramod,[status(thm)],[c_15,c_14]) ).
cnf(c_245,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),B))),multiply(B,multiply(B,B))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_244]) ).
cnf(c_26,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),B))),multiply(B,multiply(B,B))) = A,
inference(paramod,[status(thm)],[c_11,c_245]) ).
cnf(c_246,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(B,identity)))),
inference(paramod,[status(thm)],[c_6,c_16]) ).
cnf(c_27,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(B,identity)))),
inference(paramod,[status(thm)],[c_2,c_246]) ).
cnf(c_247,plain,
multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),identity),identity))),
inference(paramod,[status(thm)],[c_24,c_14]) ).
cnf(c_248,plain,
multiply(multiply(identity,identity),multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),identity),identity))),
inference(paramod,[status(thm)],[c_2,c_247]) ).
cnf(c_249,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),identity),identity))),
inference(paramod,[status(thm)],[c_2,c_248]) ).
cnf(c_250,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(identity,A)),identity)),identity))),
inference(paramod,[status(thm)],[c_15,c_249]) ).
cnf(c_251,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),identity))),identity))),
inference(paramod,[status(thm)],[c_15,c_250]) ).
cnf(c_252,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,identity)))),identity))),
inference(paramod,[status(thm)],[c_15,c_251]) ).
cnf(c_253,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,identity))),identity)))),
inference(paramod,[status(thm)],[c_15,c_252]) ).
cnf(c_254,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),identity))))),
inference(paramod,[status(thm)],[c_15,c_253]) ).
cnf(c_255,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))))),
inference(paramod,[status(thm)],[c_15,c_254]) ).
cnf(c_28,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))) = multiply(identity,multiply(identity,A)),
inference(paramod,[status(thm)],[c_11,c_255]) ).
cnf(c_256,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,identity)),identity)) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_24,c_20]) ).
cnf(c_257,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),identity),identity)) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_2,c_256]) ).
cnf(c_258,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,A)),identity)),identity)) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_15,c_257]) ).
cnf(c_259,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),identity))),identity)) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_15,c_258]) ).
cnf(c_260,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,identity)))),identity)) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_15,c_259]) ).
cnf(c_261,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,identity))),identity))) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_15,c_260]) ).
cnf(c_262,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),identity)))) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_15,c_261]) ).
cnf(c_263,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))))) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_15,c_262]) ).
cnf(c_30,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),A) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_11,c_263]) ).
cnf(c_264,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(B,identity)))),identity)),identity)) = multiply(multiply(A,multiply(multiply(A,A),B)),identity),
inference(paramod,[status(thm)],[c_27,c_20]) ).
cnf(c_265,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(B,identity))),identity))),identity)) = multiply(multiply(A,multiply(multiply(A,A),B)),identity),
inference(paramod,[status(thm)],[c_15,c_264]) ).
cnf(c_266,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(B,identity)),identity)))),identity)) = multiply(multiply(A,multiply(multiply(A,A),B)),identity),
inference(paramod,[status(thm)],[c_15,c_265]) ).
cnf(c_267,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(B,identity),identity))))),identity)) = multiply(multiply(A,multiply(multiply(A,A),B)),identity),
inference(paramod,[status(thm)],[c_15,c_266]) ).
cnf(c_268,plain,
multiply(multiply(A,A),multiply(multiply(A,B),identity)) = multiply(multiply(A,multiply(multiply(A,A),B)),identity),
inference(paramod,[status(thm)],[c_11,c_267]) ).
cnf(c_31,plain,
multiply(multiply(A,multiply(multiply(A,A),B)),identity) = multiply(multiply(A,A),multiply(multiply(A,B),identity)),
inference(copy,[status(thm)],[c_268]) ).
cnf(c_32,plain,
multiply(A,multiply(multiply(A,A),multiply(multiply(A,B),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(B,identity)))),
inference(paramod,[status(thm)],[c_31,c_27]) ).
cnf(c_269,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,B)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,B)))),multiply(multiply(A,B),multiply(multiply(A,B),multiply(A,B)))),multiply(B,multiply(B,B)))) = A,
inference(paramod,[status(thm)],[c_30,c_1]) ).
cnf(c_37,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,B)))),multiply(identity,multiply(B,multiply(B,B)))) = A,
inference(paramod,[status(thm)],[c_24,c_269]) ).
cnf(c_270,plain,
multiply(multiply(identity,multiply(identity,A)),multiply(identity,multiply(multiply(B,multiply(B,B)),multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B)))))) = multiply(identity,multiply(multiply(identity,identity),multiply(A,B))),
inference(paramod,[status(thm)],[c_1,c_37]) ).
cnf(c_271,plain,
multiply(multiply(identity,multiply(identity,A)),multiply(identity,multiply(identity,B))) = multiply(identity,multiply(multiply(identity,identity),multiply(A,B))),
inference(paramod,[status(thm)],[c_28,c_270]) ).
cnf(c_38,plain,
multiply(multiply(identity,multiply(identity,A)),multiply(identity,multiply(identity,B))) = multiply(identity,multiply(identity,multiply(A,B))),
inference(paramod,[status(thm)],[c_2,c_271]) ).
cnf(c_39,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),multiply(identity,A)))),A) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_38,c_30]) ).
cnf(c_272,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,A)),identity)),identity)) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_28,c_20]) ).
cnf(c_273,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(identity,A)),identity)),identity)) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_2,c_272]) ).
cnf(c_274,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),identity))),identity)) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_15,c_273]) ).
cnf(c_275,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,identity)))),identity)) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_15,c_274]) ).
cnf(c_276,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,identity))),identity))) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_15,c_275]) ).
cnf(c_277,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),identity)))) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_15,c_276]) ).
cnf(c_278,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))))) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_15,c_277]) ).
cnf(c_279,plain,
multiply(identity,A) = multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),
inference(paramod,[status(thm)],[c_11,c_278]) ).
cnf(c_40,plain,
multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))) = multiply(identity,A),
inference(copy,[status(thm)],[c_279]) ).
cnf(c_280,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,multiply(B,multiply(B,B)))))),multiply(identity,multiply(identity,B))) = A,
inference(paramod,[status(thm)],[c_28,c_37]) ).
cnf(c_41,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,multiply(B,multiply(B,B)))),B))) = A,
inference(paramod,[status(thm)],[c_38,c_280]) ).
cnf(c_281,plain,
multiply(A,multiply(identity,multiply(identity,B))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),B))),
inference(paramod,[status(thm)],[c_11,c_38]) ).
cnf(c_42,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),B))) = multiply(A,multiply(identity,multiply(identity,B))),
inference(copy,[status(thm)],[c_281]) ).
cnf(c_43,plain,
multiply(multiply(identity,multiply(identity,A)),B) = multiply(identity,multiply(identity,multiply(A,multiply(identity,multiply(multiply(B,identity),identity))))),
inference(paramod,[status(thm)],[c_11,c_38]) ).
cnf(c_47,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,multiply(A,A))))),multiply(identity,A)) = identity,
inference(paramod,[status(thm)],[c_40,c_24]) ).
cnf(c_48,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),multiply(B,multiply(B,B))))),multiply(identity,B)) = A,
inference(paramod,[status(thm)],[c_40,c_26]) ).
cnf(c_55,plain,
multiply(multiply(identity,A),multiply(identity,multiply(B,multiply(B,B)))) = multiply(identity,multiply(A,multiply(B,multiply(B,B)))),
inference(paramod,[status(thm)],[c_41,c_37]) ).
cnf(c_282,plain,
multiply(multiply(identity,A),multiply(identity,multiply(identity,B))) = multiply(identity,multiply(A,multiply(multiply(B,multiply(B,B)),multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B)))))),
inference(paramod,[status(thm)],[c_40,c_55]) ).
cnf(c_57,plain,
multiply(multiply(identity,A),multiply(identity,multiply(identity,B))) = multiply(identity,multiply(A,multiply(identity,B))),
inference(paramod,[status(thm)],[c_40,c_282]) ).
cnf(c_58,plain,
multiply(identity,multiply(multiply(identity,A),multiply(identity,B))) = multiply(identity,multiply(identity,multiply(A,B))),
inference(paramod,[status(thm)],[c_57,c_38]) ).
cnf(c_60,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,A)))),A) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_58,c_39]) ).
cnf(c_283,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),multiply(identity,multiply(multiply(B,identity),identity))))) = multiply(A,B),
inference(paramod,[status(thm)],[c_11,c_42]) ).
cnf(c_62,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity))))) = multiply(A,B),
inference(paramod,[status(thm)],[c_58,c_283]) ).
cnf(c_284,plain,
multiply(multiply(identity,multiply(A,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),multiply(identity,multiply(multiply(A,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))) = identity,
inference(paramod,[status(thm)],[c_42,c_47]) ).
cnf(c_285,plain,
multiply(multiply(identity,multiply(A,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))) = identity,
inference(paramod,[status(thm)],[c_58,c_284]) ).
cnf(c_286,plain,
multiply(multiply(identity,multiply(A,multiply(A,A))),multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))) = identity,
inference(paramod,[status(thm)],[c_62,c_285]) ).
cnf(c_64,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity)))) = identity,
inference(paramod,[status(thm)],[c_57,c_286]) ).
cnf(c_287,plain,
multiply(multiply(identity,A),multiply(identity,B)) = multiply(multiply(identity,identity),multiply(A,B)),
inference(paramod,[status(thm)],[c_1,c_48]) ).
cnf(c_66,plain,
multiply(multiply(identity,A),multiply(identity,B)) = multiply(identity,multiply(A,B)),
inference(paramod,[status(thm)],[c_2,c_287]) ).
cnf(c_67,plain,
multiply(multiply(A,multiply(identity,multiply(identity,multiply(B,multiply(B,B))))),multiply(identity,B)) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_42,c_48]) ).
cnf(c_288,plain,
multiply(A,multiply(identity,B)) = multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(A,C))),multiply(C,multiply(C,C))),B)),
inference(paramod,[status(thm)],[c_1,c_66]) ).
cnf(c_289,plain,
multiply(A,multiply(identity,B)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(A,C))),multiply(C,multiply(C,C))),B)),
inference(paramod,[status(thm)],[c_2,c_288]) ).
cnf(c_69,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B))),C)) = multiply(A,multiply(identity,C)),
inference(copy,[status(thm)],[c_289]) ).
cnf(c_290,plain,
multiply(A,multiply(identity,B)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),B)),
inference(paramod,[status(thm)],[c_11,c_66]) ).
cnf(c_71,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),B)) = multiply(A,multiply(identity,B)),
inference(copy,[status(thm)],[c_290]) ).
cnf(c_74,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),B)))) = multiply(A,multiply(identity,multiply(identity,multiply(identity,B)))),
inference(paramod,[status(thm)],[c_66,c_42]) ).
cnf(c_291,plain,
multiply(A,multiply(A,A)) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))))),
inference(paramod,[status(thm)],[c_60,c_43]) ).
cnf(c_292,plain,
multiply(A,multiply(A,A)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))))),
inference(paramod,[status(thm)],[c_66,c_291]) ).
cnf(c_76,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))))) = multiply(A,multiply(A,A)),
inference(copy,[status(thm)],[c_292]) ).
cnf(c_293,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))),
inference(paramod,[status(thm)],[c_64,c_20]) ).
cnf(c_294,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))),
inference(paramod,[status(thm)],[c_2,c_293]) ).
cnf(c_295,plain,
multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))),
inference(paramod,[status(thm)],[c_2,c_294]) ).
cnf(c_296,plain,
multiply(identity,multiply(identity,identity)) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))),
inference(paramod,[status(thm)],[c_2,c_295]) ).
cnf(c_297,plain,
multiply(identity,identity) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))),
inference(paramod,[status(thm)],[c_2,c_296]) ).
cnf(c_298,plain,
identity = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))),
inference(paramod,[status(thm)],[c_2,c_297]) ).
cnf(c_81,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))) = identity,
inference(copy,[status(thm)],[c_298]) ).
cnf(c_299,plain,
multiply(multiply(identity,multiply(identity,multiply(A,multiply(A,A)))),A) = multiply(identity,identity),
inference(paramod,[status(thm)],[c_64,c_43]) ).
cnf(c_83,plain,
multiply(multiply(identity,multiply(identity,multiply(A,multiply(A,A)))),A) = identity,
inference(paramod,[status(thm)],[c_2,c_299]) ).
cnf(c_84,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),identity)),multiply(B,multiply(B,B)))) = multiply(identity,multiply(identity,multiply(B,multiply(B,B)))),
inference(paramod,[status(thm)],[c_83,c_1]) ).
cnf(c_300,plain,
multiply(multiply(A,multiply(A,A)),multiply(multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))),multiply(identity,identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),identity)))),
inference(paramod,[status(thm)],[c_81,c_32]) ).
cnf(c_301,plain,
multiply(multiply(A,multiply(A,A)),multiply(multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),identity)))),
inference(paramod,[status(thm)],[c_2,c_300]) ).
cnf(c_302,plain,
multiply(multiply(A,multiply(A,A)),multiply(multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),identity))))),
inference(paramod,[status(thm)],[c_15,c_301]) ).
cnf(c_85,plain,
multiply(multiply(A,multiply(A,A)),multiply(multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))),identity)) = multiply(identity,multiply(A,identity)),
inference(paramod,[status(thm)],[c_11,c_302]) ).
cnf(c_303,plain,
multiply(multiply(identity,A),multiply(identity,multiply(multiply(multiply(A,multiply(A,A)),identity),identity))) = identity,
inference(paramod,[status(thm)],[c_40,c_81]) ).
cnf(c_86,plain,
multiply(identity,multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity))) = identity,
inference(paramod,[status(thm)],[c_66,c_303]) ).
cnf(c_304,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)),
inference(paramod,[status(thm)],[c_86,c_20]) ).
cnf(c_305,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)),
inference(paramod,[status(thm)],[c_2,c_304]) ).
cnf(c_306,plain,
multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)),
inference(paramod,[status(thm)],[c_2,c_305]) ).
cnf(c_307,plain,
multiply(identity,multiply(identity,identity)) = multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)),
inference(paramod,[status(thm)],[c_2,c_306]) ).
cnf(c_308,plain,
multiply(identity,identity) = multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)),
inference(paramod,[status(thm)],[c_2,c_307]) ).
cnf(c_309,plain,
identity = multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)),
inference(paramod,[status(thm)],[c_2,c_308]) ).
cnf(c_90,plain,
multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)) = identity,
inference(copy,[status(thm)],[c_309]) ).
cnf(c_310,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(identity,identity)),identity)) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_90,c_20]) ).
cnf(c_311,plain,
multiply(multiply(A,A),multiply(multiply(A,identity),identity)) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_2,c_310]) ).
cnf(c_92,plain,
multiply(multiply(multiply(A,multiply(A,A)),identity),identity) = multiply(multiply(A,A),multiply(multiply(A,identity),identity)),
inference(copy,[status(thm)],[c_311]) ).
cnf(c_312,plain,
multiply(multiply(A,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(multiply(identity,identity),multiply(B,C))),multiply(C,multiply(C,C)))))))),B) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_1,c_67]) ).
cnf(c_313,plain,
multiply(multiply(A,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(multiply(identity,identity),multiply(B,C))),multiply(C,multiply(C,C)))))))),B) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_2,c_312]) ).
cnf(c_314,plain,
multiply(multiply(A,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(multiply(identity,identity),multiply(B,C))),multiply(C,multiply(C,C)))))))),B) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_2,c_313]) ).
cnf(c_315,plain,
multiply(multiply(A,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C)))))))),B) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_2,c_314]) ).
cnf(c_316,plain,
multiply(multiply(A,multiply(identity,multiply(B,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C)))))))),B) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_69,c_315]) ).
cnf(c_317,plain,
multiply(multiply(A,multiply(identity,multiply(B,multiply(B,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C)))))))),B) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_69,c_316]) ).
cnf(c_96,plain,
multiply(multiply(A,multiply(identity,multiply(B,multiply(B,B)))),B) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_4,c_317]) ).
cnf(c_318,plain,
multiply(multiply(A,multiply(B,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(B,identity),identity)),multiply(identity,multiply(multiply(B,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(B,identity),identity)))) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_42,c_67]) ).
cnf(c_319,plain,
multiply(multiply(A,multiply(B,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(B,identity),identity),multiply(multiply(B,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(B,identity),identity)))) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_66,c_318]) ).
cnf(c_320,plain,
multiply(multiply(A,multiply(B,multiply(B,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(B,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(B,identity),identity)))) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_74,c_319]) ).
cnf(c_97,plain,
multiply(multiply(A,multiply(B,multiply(B,B))),multiply(identity,multiply(identity,multiply(multiply(B,identity),identity)))) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_11,c_320]) ).
cnf(c_321,plain,
multiply(multiply(multiply(A,identity),identity),B) = multiply(multiply(multiply(A,multiply(identity,multiply(identity,multiply(multiply(B,multiply(B,B)),multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B))))))),identity),identity),
inference(paramod,[status(thm)],[c_67,c_96]) ).
cnf(c_322,plain,
multiply(multiply(multiply(A,identity),identity),B) = multiply(multiply(multiply(A,multiply(identity,multiply(identity,multiply(identity,B)))),identity),identity),
inference(paramod,[status(thm)],[c_40,c_321]) ).
cnf(c_99,plain,
multiply(multiply(multiply(A,multiply(identity,multiply(identity,multiply(identity,B)))),identity),identity) = multiply(multiply(multiply(A,identity),identity),B),
inference(copy,[status(thm)],[c_322]) ).
cnf(c_323,plain,
multiply(multiply(multiply(A,B),identity),identity) = multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity)),
inference(paramod,[status(thm)],[c_11,c_99]) ).
cnf(c_106,plain,
multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity)) = multiply(multiply(multiply(A,B),identity),identity),
inference(copy,[status(thm)],[c_323]) ).
cnf(c_324,plain,
multiply(multiply(identity,multiply(multiply(A,B),identity)),identity) = multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity))),
inference(paramod,[status(thm)],[c_106,c_15]) ).
cnf(c_325,plain,
multiply(identity,multiply(multiply(multiply(A,B),identity),identity)) = multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity))),
inference(paramod,[status(thm)],[c_15,c_324]) ).
cnf(c_109,plain,
multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity))) = multiply(identity,multiply(multiply(multiply(A,B),identity),identity)),
inference(copy,[status(thm)],[c_325]) ).
cnf(c_326,plain,
multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(B,identity),identity),identity)) = multiply(multiply(multiply(A,multiply(B,multiply(identity,multiply(identity,multiply(identity,identity))))),identity),identity),
inference(paramod,[status(thm)],[c_96,c_106]) ).
cnf(c_327,plain,
multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(B,identity),identity),identity)) = multiply(multiply(multiply(A,multiply(B,multiply(identity,multiply(identity,identity)))),identity),identity),
inference(paramod,[status(thm)],[c_2,c_326]) ).
cnf(c_328,plain,
multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(B,identity),identity),identity)) = multiply(multiply(multiply(A,multiply(B,multiply(identity,identity))),identity),identity),
inference(paramod,[status(thm)],[c_2,c_327]) ).
cnf(c_329,plain,
multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(B,identity),identity),identity)) = multiply(multiply(multiply(A,multiply(B,identity)),identity),identity),
inference(paramod,[status(thm)],[c_2,c_328]) ).
cnf(c_115,plain,
multiply(multiply(multiply(A,multiply(B,identity)),identity),identity) = multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(B,identity),identity),identity)),
inference(copy,[status(thm)],[c_329]) ).
cnf(c_330,plain,
multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(A,B))),identity),identity),multiply(multiply(multiply(B,multiply(B,B)),identity),identity))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),identity),identity)),
inference(paramod,[status(thm)],[c_14,c_109]) ).
cnf(c_331,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,multiply(A,B)),identity)),identity),multiply(multiply(multiply(B,multiply(B,B)),identity),identity))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),identity),identity)),
inference(paramod,[status(thm)],[c_15,c_330]) ).
cnf(c_332,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,B),identity))),identity),multiply(multiply(multiply(B,multiply(B,B)),identity),identity))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),identity),identity)),
inference(paramod,[status(thm)],[c_15,c_331]) ).
cnf(c_333,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(A,B),identity)),identity)),multiply(multiply(multiply(B,multiply(B,B)),identity),identity))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),identity),identity)),
inference(paramod,[status(thm)],[c_15,c_332]) ).
cnf(c_334,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(A,B),identity),identity))),multiply(multiply(multiply(B,multiply(B,B)),identity),identity))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),identity),identity)),
inference(paramod,[status(thm)],[c_15,c_333]) ).
cnf(c_335,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(A,B),identity),identity))),multiply(multiply(B,B),multiply(multiply(B,identity),identity)))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),identity),identity)),
inference(paramod,[status(thm)],[c_92,c_334]) ).
cnf(c_336,plain,
multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),identity),identity)),
inference(paramod,[status(thm)],[c_71,c_335]) ).
cnf(c_337,plain,
multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))) = multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),identity)),identity)),
inference(paramod,[status(thm)],[c_15,c_336]) ).
cnf(c_338,plain,
multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),identity))),identity)),
inference(paramod,[status(thm)],[c_15,c_337]) ).
cnf(c_339,plain,
multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(A,identity),identity),identity)),identity))),
inference(paramod,[status(thm)],[c_15,c_338]) ).
cnf(c_340,plain,
multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(A,identity),identity),identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_339]) ).
cnf(c_341,plain,
multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))) = multiply(multiply(A,identity),identity),
inference(paramod,[status(thm)],[c_11,c_340]) ).
cnf(c_116,plain,
multiply(multiply(A,identity),identity) = multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))),
inference(copy,[status(thm)],[c_341]) ).
cnf(c_342,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,A)))),identity),identity) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_60,c_116]) ).
cnf(c_343,plain,
multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,A))),identity)),identity) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_342]) ).
cnf(c_344,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,A)),identity))),identity) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_343]) ).
cnf(c_345,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),identity)))),identity) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_344]) ).
cnf(c_346,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(A,A),identity))),identity)) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_345]) ).
cnf(c_347,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,A),identity)),identity))) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_346]) ).
cnf(c_348,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,A),identity),identity)))) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_15,c_347]) ).
cnf(c_349,plain,
multiply(A,A) = multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(paramod,[status(thm)],[c_11,c_348]) ).
cnf(c_119,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))) = multiply(A,A),
inference(copy,[status(thm)],[c_349]) ).
cnf(c_350,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),identity)),multiply(identity,B))) = multiply(identity,multiply(identity,multiply(multiply(B,multiply(B,B)),multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B)))))),
inference(paramod,[status(thm)],[c_40,c_84]) ).
cnf(c_121,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),identity)),multiply(identity,B))) = multiply(identity,multiply(identity,multiply(identity,B))),
inference(paramod,[status(thm)],[c_40,c_350]) ).
cnf(c_351,plain,
multiply(multiply(identity,A),multiply(multiply(multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))),identity)) = multiply(identity,multiply(multiply(A,multiply(A,A)),identity)),
inference(paramod,[status(thm)],[c_40,c_85]) ).
cnf(c_352,plain,
multiply(multiply(identity,A),multiply(multiply(multiply(identity,A),multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A))))),identity)) = multiply(identity,multiply(multiply(A,multiply(A,A)),identity)),
inference(paramod,[status(thm)],[c_40,c_351]) ).
cnf(c_353,plain,
multiply(multiply(identity,A),multiply(multiply(multiply(identity,A),multiply(identity,A)),identity)) = multiply(identity,multiply(multiply(A,multiply(A,A)),identity)),
inference(paramod,[status(thm)],[c_40,c_352]) ).
cnf(c_354,plain,
multiply(multiply(identity,A),multiply(multiply(identity,multiply(A,A)),identity)) = multiply(identity,multiply(multiply(A,multiply(A,A)),identity)),
inference(paramod,[status(thm)],[c_66,c_353]) ).
cnf(c_355,plain,
multiply(multiply(identity,A),multiply(identity,multiply(multiply(A,A),identity))) = multiply(identity,multiply(multiply(A,multiply(A,A)),identity)),
inference(paramod,[status(thm)],[c_15,c_354]) ).
cnf(c_356,plain,
multiply(identity,multiply(A,multiply(multiply(A,A),identity))) = multiply(identity,multiply(multiply(A,multiply(A,A)),identity)),
inference(paramod,[status(thm)],[c_66,c_355]) ).
cnf(c_123,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),identity)) = multiply(identity,multiply(A,multiply(multiply(A,A),identity))),
inference(copy,[status(thm)],[c_356]) ).
cnf(c_357,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,multiply(multiply(A,A),identity))),B))),multiply(B,multiply(B,B))) = multiply(multiply(A,multiply(A,A)),identity),
inference(paramod,[status(thm)],[c_123,c_26]) ).
cnf(c_358,plain,
multiply(A,multiply(multiply(A,A),identity)) = multiply(multiply(A,multiply(A,A)),identity),
inference(paramod,[status(thm)],[c_26,c_357]) ).
cnf(c_124,plain,
multiply(multiply(A,multiply(A,A)),identity) = multiply(A,multiply(multiply(A,A),identity)),
inference(copy,[status(thm)],[c_358]) ).
cnf(c_359,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),identity)),B)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,identity),multiply(B,C))),multiply(C,multiply(C,C)))))),
inference(paramod,[status(thm)],[c_1,c_121]) ).
cnf(c_360,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),identity)),B)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C)))))),
inference(paramod,[status(thm)],[c_2,c_359]) ).
cnf(c_127,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),identity)),B)) = multiply(identity,multiply(identity,B)),
inference(paramod,[status(thm)],[c_4,c_360]) ).
cnf(c_133,plain,
multiply(multiply(A,multiply(A,A)),multiply(multiply(identity,multiply(A,identity)),B)) = multiply(identity,multiply(identity,B)),
inference(paramod,[status(thm)],[c_85,c_127]) ).
cnf(c_361,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),multiply(identity,multiply(A,identity))))),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(A,identity)),identity),identity)))) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_133,c_97]) ).
cnf(c_362,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),multiply(A,identity))))),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(A,identity)),identity),identity)))) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_66,c_361]) ).
cnf(c_363,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),multiply(A,identity))))),multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(A,identity),identity)),identity)))) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_15,c_362]) ).
cnf(c_364,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),multiply(A,identity))))),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),identity))))) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_15,c_363]) ).
cnf(c_365,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),multiply(A,identity))))),multiply(A,identity)) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_11,c_364]) ).
cnf(c_366,plain,
multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_60,c_365]) ).
cnf(c_367,plain,
multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))) = multiply(multiply(A,multiply(multiply(A,A),identity)),identity),
inference(paramod,[status(thm)],[c_124,c_366]) ).
cnf(c_138,plain,
multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))) = multiply(multiply(A,A),multiply(multiply(A,identity),identity)),
inference(paramod,[status(thm)],[c_31,c_367]) ).
cnf(c_368,plain,
multiply(A,multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))),
inference(paramod,[status(thm)],[c_138,c_32]) ).
cnf(c_369,plain,
multiply(A,multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity)))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(paramod,[status(thm)],[c_2,c_368]) ).
cnf(c_370,plain,
multiply(A,multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity)))) = multiply(identity,multiply(identity,identity)),
inference(paramod,[status(thm)],[c_2,c_369]) ).
cnf(c_371,plain,
multiply(A,multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity)))) = multiply(identity,identity),
inference(paramod,[status(thm)],[c_2,c_370]) ).
cnf(c_162,plain,
multiply(A,multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity)))) = identity,
inference(paramod,[status(thm)],[c_2,c_371]) ).
cnf(c_372,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),multiply(A,identity)),multiply(multiply(multiply(A,identity),identity),identity))))) = multiply(A,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity)))))),
inference(paramod,[status(thm)],[c_138,c_74]) ).
cnf(c_373,plain,
multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))) = multiply(A,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity)))))),
inference(paramod,[status(thm)],[c_76,c_372]) ).
cnf(c_374,plain,
multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))) = multiply(A,multiply(A,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))))),
inference(paramod,[status(thm)],[c_74,c_373]) ).
cnf(c_167,plain,
multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_11,c_374]) ).
cnf(c_375,plain,
multiply(multiply(multiply(multiply(A,identity),identity),identity),multiply(multiply(multiply(multiply(A,identity),multiply(A,identity)),identity),identity)) = multiply(multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),identity),identity),
inference(paramod,[status(thm)],[c_138,c_106]) ).
cnf(c_376,plain,
multiply(multiply(multiply(multiply(A,identity),identity),identity),multiply(multiply(multiply(multiply(A,identity),identity),identity),multiply(multiply(multiply(A,identity),identity),identity))) = multiply(multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),identity),identity),
inference(paramod,[status(thm)],[c_115,c_375]) ).
cnf(c_377,plain,
multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity))) = multiply(multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),identity),identity),
inference(paramod,[status(thm)],[c_167,c_376]) ).
cnf(c_378,plain,
multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))) = multiply(multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),identity),identity),
inference(paramod,[status(thm)],[c_167,c_377]) ).
cnf(c_379,plain,
multiply(A,multiply(A,A)) = multiply(multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),identity),identity),
inference(paramod,[status(thm)],[c_167,c_378]) ).
cnf(c_380,plain,
multiply(A,multiply(A,A)) = multiply(multiply(multiply(multiply(A,A),identity),identity),multiply(multiply(multiply(multiply(A,identity),identity),identity),identity)),
inference(paramod,[status(thm)],[c_115,c_379]) ).
cnf(c_169,plain,
multiply(multiply(multiply(multiply(A,A),identity),identity),multiply(multiply(multiply(multiply(A,identity),identity),identity),identity)) = multiply(A,multiply(A,A)),
inference(copy,[status(thm)],[c_380]) ).
cnf(c_381,plain,
multiply(multiply(multiply(multiply(A,A),identity),identity),multiply(multiply(multiply(multiply(A,identity),identity),identity),identity)) = multiply(multiply(multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))),identity),identity),
inference(paramod,[status(thm)],[c_138,c_106]) ).
cnf(c_382,plain,
multiply(A,multiply(A,A)) = multiply(multiply(multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))),identity),identity),
inference(paramod,[status(thm)],[c_169,c_381]) ).
cnf(c_383,plain,
multiply(A,multiply(A,A)) = multiply(multiply(multiply(A,multiply(A,A)),identity),identity),
inference(paramod,[status(thm)],[c_167,c_382]) ).
cnf(c_384,plain,
multiply(A,multiply(A,A)) = multiply(multiply(A,multiply(multiply(A,A),identity)),identity),
inference(paramod,[status(thm)],[c_124,c_383]) ).
cnf(c_385,plain,
multiply(A,multiply(A,A)) = multiply(multiply(A,A),multiply(multiply(A,identity),identity)),
inference(paramod,[status(thm)],[c_31,c_384]) ).
cnf(c_170,plain,
multiply(multiply(A,A),multiply(multiply(A,identity),identity)) = multiply(A,multiply(A,A)),
inference(copy,[status(thm)],[c_385]) ).
cnf(c_386,plain,
multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),multiply(identity,multiply(multiply(multiply(A,identity),multiply(A,identity)),multiply(multiply(multiply(A,identity),identity),identity)))) = multiply(multiply(A,identity),multiply(A,identity)),
inference(paramod,[status(thm)],[c_138,c_119]) ).
cnf(c_387,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(multiply(A,identity),multiply(A,identity)),multiply(multiply(multiply(A,identity),identity),identity)))) = multiply(multiply(A,identity),multiply(A,identity)),
inference(paramod,[status(thm)],[c_170,c_386]) ).
cnf(c_388,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))))) = multiply(multiply(A,identity),multiply(A,identity)),
inference(paramod,[status(thm)],[c_170,c_387]) ).
cnf(c_174,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(A,multiply(A,A)))) = multiply(multiply(A,identity),multiply(A,identity)),
inference(paramod,[status(thm)],[c_167,c_388]) ).
cnf(c_389,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))))) = multiply(A,A),
inference(paramod,[status(thm)],[c_138,c_119]) ).
cnf(c_390,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(A,multiply(A,A)))) = multiply(A,A),
inference(paramod,[status(thm)],[c_167,c_389]) ).
cnf(c_175,plain,
multiply(multiply(A,identity),multiply(A,identity)) = multiply(A,A),
inference(paramod,[status(thm)],[c_174,c_390]) ).
cnf(c_186,plain,
multiply(A,multiply(multiply(A,identity),multiply(A,A))) = identity,
inference(paramod,[status(thm)],[c_175,c_162]) ).
cnf(c_391,plain,
multiply(multiply(A,identity),multiply(A,A)) = multiply(multiply(A,A),multiply(multiply(A,identity),identity)),
inference(paramod,[status(thm)],[c_175,c_138]) ).
cnf(c_190,plain,
multiply(multiply(A,identity),multiply(A,A)) = multiply(A,multiply(A,A)),
inference(paramod,[status(thm)],[c_170,c_391]) ).
cnf(c_217,plain,
multiply(A,multiply(A,multiply(A,A))) = identity,
inference(paramod,[status(thm)],[c_190,c_186]) ).
cnf(c_218,plain,
$false,
inference(resolve,[status(thm)],[c_217,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.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 : Fri Sep 25 14:18:32 UTC 2026
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.37 % Process 2460114 was started by sandbox2 on n017,
% 0.16/0.37 % Fri Sep 25 14:18:32 2026
% 0.16/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.38
% 0.16/0.38 % From the command line: assign(max_seconds, 300).
% 2.99/0.88
% 2.99/0.88 % SZS status Unsatisfiable for theBenchmark
% 2.99/0.88
% 2.99/0.88 % Proof 1 at 0.25 (+ 0.08) seconds.
% 2.99/0.88 % Length of proof is 73.
% 2.99/0.88 % Level of proof is 29.
% 2.99/0.88 % Maximum clause weight is 100.000.
% 2.99/0.88 % Given clauses 89.
% 2.99/0.88
% 2.99/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------