TSTP Solution File: GRP410-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:38:09 EDT 2022
% Result : Unsatisfiable 31.80s 32.00s
% Output : Refutation 31.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 2
% Syntax : Number of clauses : 218 ( 218 unt; 0 nHn; 8 RR)
% Number of literals : 218 ( 217 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 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 : 728 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(Z),Z))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(3,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(Z))),inverse(multiply(inverse(Z),Z))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(4,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),Y),inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))) = multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(10,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(multiply(inverse(multiply(Y,inverse(multiply(Z,U)))),multiply(Y,inverse(U))),inverse(multiply(X,multiply(inverse(U),U))))),Z),inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(U),U)))) = inverse(multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(42,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),Z)))),multiply(X,inverse(Z))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(43,plain,
multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(46,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))) = multiply(inverse(multiply(V,inverse(multiply(multiply(inverse(Z),Z),U)))),multiply(V,inverse(U))),
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(79,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(inverse(multiply(inverse(U),U)))))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))))) = multiply(inverse(multiply(V,inverse(multiply(inverse(multiply(W,inverse(multiply(Z,U)))),multiply(W,inverse(U)))))),multiply(V,inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(81,plain,
multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))),inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))) = inverse(multiply(Z,inverse(multiply(multiply(Y,inverse(multiply(inverse(U),U))),U)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,42,theory(equality)]) ).
cnf(93,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))),inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z))))),Z)))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[42,4,theory(equality)]) ).
cnf(96,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))) = multiply(inverse(multiply(V,inverse(Y))),multiply(V,inverse(multiply(Z,inverse(U))))),
inference('PARAMODULATE',[status(thm)],[43,42,theory(equality)]) ).
cnf(108,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[96,single_axiom,theory(equality)]) ).
cnf(109,plain,
multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(U))) = multiply(inverse(multiply(V,inverse(multiply(inverse(Z),Z)))),multiply(V,inverse(U))),
inference('PARAMODULATE',[status(thm)],[108,single_axiom,theory(equality)]) ).
cnf(114,plain,
inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U))),inverse(multiply(inverse(U),U))),U)))) = inverse(multiply(X,inverse(Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,108,theory(equality)]),81,theory(equality)]) ).
cnf(134,plain,
inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(Y),multiply(multiply(inverse(multiply(Z,inverse(multiply(Y,U)))),multiply(Z,inverse(U))),inverse(V))),inverse(multiply(inverse(V),V))),V)))) = inverse(multiply(X,inverse(multiply(inverse(U),U)))),
inference('PARAMODULATE',[status(thm)],[114,single_axiom,theory(equality)]) ).
cnf(165,plain,
multiply(inverse(X),X) = multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),multiply(Y,inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[109,single_axiom,theory(equality)]) ).
cnf(215,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[165,165,theory(equality)]) ).
cnf(216,plain,
multiply(multiply(inverse(X),X),a2) != a2,
inference('PARAMODULATE',[status(thm)],[prove_these_axioms_2,215,theory(equality)]) ).
cnf(217,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,215,theory(equality)]) ).
cnf(222,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[108,215,theory(equality)]) ).
cnf(223,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(X))),
inference('PARAMODULATE',[status(thm)],[108,215,theory(equality)]) ).
cnf(224,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),U)))),multiply(X,inverse(U))) = Y,
inference('PARAMODULATE',[status(thm)],[42,215,theory(equality)]) ).
cnf(226,plain,
inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))),Z)))) = inverse(multiply(X,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[114,215,theory(equality)]) ).
cnf(231,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),Y),inverse(multiply(inverse(V),V))) = U,
inference('PARAMODULATE',[status(thm)],[4,215,theory(equality)]) ).
cnf(236,plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Y),Y)))) = inverse(multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[10,231,theory(equality)]) ).
cnf(239,plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[236,215,theory(equality)]) ).
cnf(240,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[239,239,theory(equality)]) ).
cnf(254,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[215,240,theory(equality)]) ).
cnf(300,plain,
multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))),inverse(multiply(inverse(U),U))) = Y,
inference('PARAMODULATE',[status(thm)],[217,215,theory(equality)]) ).
cnf(301,plain,
multiply(multiply(inverse(multiply(inverse(inverse(X)),inverse(multiply(Y,X)))),multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U))) = Y,
inference('PARAMODULATE',[status(thm)],[217,215,theory(equality)]) ).
cnf(302,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[217,215,theory(equality)]) ).
cnf(307,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(U))),inverse(multiply(inverse(V),V))) = inverse(U),
inference('PARAMODULATE',[status(thm)],[217,217,theory(equality)]) ).
cnf(308,plain,
inverse(multiply(X,inverse(multiply(inverse(Y),Y)))) = inverse(multiply(X,inverse(multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[134,307,theory(equality)]) ).
cnf(309,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(multiply(Y,inverse(multiply(multiply(inverse(Z),Z),X)))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[46,307,theory(equality)]) ).
cnf(330,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[308,239,theory(equality)]) ).
cnf(363,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[217,309,theory(equality)]) ).
cnf(370,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))) = multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),multiply(Y,inverse(inverse(multiply(inverse(X),X))))),
inference('PARAMODULATE',[status(thm)],[309,239,theory(equality)]) ).
cnf(408,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,363,theory(equality)]),302,theory(equality)]) ).
cnf(444,plain,
inverse(inverse(multiply(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))) = inverse(inverse(multiply(inverse(U),U))),
inference('PARAMODULATE',[status(thm)],[408,330,theory(equality)]) ).
cnf(475,plain,
multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(U),U))) = multiply(inverse(V),V),
inference('PARAMODULATE',[status(thm)],[363,330,theory(equality)]) ).
cnf(485,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(multiply(multiply(inverse(Z),Z),inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(V),V)))))),
inference('PARAMODULATE',[status(thm)],[330,330,theory(equality)]) ).
cnf(1093,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[217,224,theory(equality)]) ).
cnf(1683,plain,
multiply(multiply(inverse(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U))) = inverse(X),
inference('PARAMODULATE',[status(thm)],[301,215,theory(equality)]) ).
cnf(2154,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),Z)))) = inverse(multiply(X,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[226,239,theory(equality)]) ).
cnf(2172,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))),inverse(multiply(inverse(Z),Z)))),Z)))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[93,2154,theory(equality)]) ).
cnf(2175,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),Y))),inverse(Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[240,2154,theory(equality)]) ).
cnf(2183,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U)))))) = inverse(multiply(X,inverse(multiply(inverse(inverse(Z)),inverse(U))))),
inference('PARAMODULATE',[status(thm)],[2154,222,theory(equality)]) ).
cnf(2205,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(inverse(multiply(inverse(Z),Z))))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))))) = multiply(inverse(multiply(U,inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))))),multiply(U,inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),
inference('REWRITE',[status(thm)],[79,2183,theory(equality)]) ).
cnf(2210,plain,
inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(X,inverse(inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2154,1093,theory(equality)]),2154,theory(equality)]) ).
cnf(2224,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z)))),U)))) = inverse(multiply(X,inverse(U))),
inference('PARAMODULATE',[status(thm)],[2154,363,theory(equality)]) ).
cnf(2225,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(Z))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[2172,2224,theory(equality)]) ).
cnf(2386,plain,
multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))),a2) != a2,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,2210,theory(equality)]),370,theory(equality)]) ).
cnf(2387,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[215,2210,theory(equality)]),370,theory(equality)]) ).
cnf(2580,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,2175,theory(equality)]),302,theory(equality)]) ).
cnf(2589,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(Z))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[2225,2580,theory(equality)]) ).
cnf(2606,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[215,2580,theory(equality)]) ).
cnf(2623,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(inverse(inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2580,1093,theory(equality)]),2580,theory(equality)]) ).
cnf(2632,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2580,2210,theory(equality)]),2580,theory(equality)]) ).
cnf(2871,plain,
inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))))) = inverse(inverse(inverse(inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[2632,330,theory(equality)]) ).
cnf(2941,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),a2) != a2,
inference('PARAMODULATE',[status(thm)],[2386,363,theory(equality)]) ).
cnf(2978,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[408,2387,theory(equality)]) ).
cnf(2979,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[2623,2978,theory(equality)]) ).
cnf(2984,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[2632,2978,theory(equality)]) ).
cnf(2991,plain,
inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[2210,2978,theory(equality)]) ).
cnf(2994,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(inverse(inverse(multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[1093,2978,theory(equality)]) ).
cnf(2998,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[239,2978,theory(equality)]) ).
cnf(3012,plain,
multiply(multiply(inverse(X),X),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[239,2978,theory(equality)]) ).
cnf(3020,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[363,2978,theory(equality)]) ).
cnf(3037,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),X))),
inference('PARAMODULATE',[status(thm)],[2580,2978,theory(equality)]) ).
cnf(3040,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[444,3037,theory(equality)]) ).
cnf(3041,plain,
multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('REWRITE',[status(thm)],[475,3037,theory(equality)]) ).
cnf(3048,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),X)))))) = inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),
inference('REWRITE',[status(thm)],[2871,3037,theory(equality)]) ).
cnf(3158,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),U)))) = inverse(multiply(X,inverse(U))),
inference('PARAMODULATE',[status(thm)],[2154,2978,theory(equality)]) ).
cnf(3164,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[485,3158,theory(equality)]) ).
cnf(3168,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,multiply(inverse(Y),Y))),multiply(U,inverse(X))),
inference('PARAMODULATE',[status(thm)],[223,2978,theory(equality)]) ).
cnf(3181,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2978,330,theory(equality)]),3037,theory(equality)]) ).
cnf(3192,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,multiply(inverse(X),X))),
inference('PARAMODULATE',[status(thm)],[223,2978,theory(equality)]) ).
cnf(3276,plain,
inverse(multiply(inverse(X),X)) = inverse(inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[3040,2978,theory(equality)]) ).
cnf(3447,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))))),multiply(X,inverse(inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(V),V))) = Y,
inference('PARAMODULATE',[status(thm)],[217,3040,theory(equality)]) ).
cnf(3448,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(Z))))),multiply(Y,inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),
inference('REWRITE',[status(thm)],[2205,3447,theory(equality)]) ).
cnf(3500,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[2978,3276,theory(equality)]) ).
cnf(3501,plain,
multiply(inverse(multiply(inverse(X),X)),a2) != a2,
inference('PARAMODULATE',[status(thm)],[2941,3276,theory(equality)]) ).
cnf(3505,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[1093,3276,theory(equality)]) ).
cnf(3508,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X))),
inference('PARAMODULATE',[status(thm)],[2580,3276,theory(equality)]) ).
cnf(3511,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(Z))))),multiply(Y,inverse(inverse(inverse(multiply(inverse(Z),Z)))))),
inference('REWRITE',[status(thm)],[3448,3508,theory(equality)]) ).
cnf(3529,plain,
multiply(multiply(inverse(X),X),inverse(inverse(multiply(inverse(Y),Y)))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[239,3276,theory(equality)]) ).
cnf(3610,plain,
multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))),inverse(inverse(multiply(inverse(U),U)))) = Y,
inference('PARAMODULATE',[status(thm)],[300,3276,theory(equality)]) ).
cnf(3781,plain,
multiply(multiply(inverse(X),X),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[254,3500,theory(equality)]) ).
cnf(3788,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[1093,3500,theory(equality)]) ).
cnf(3789,plain,
multiply(multiply(inverse(X),X),multiply(inverse(Y),Y)) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[239,3500,theory(equality)]) ).
cnf(3795,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[330,3500,theory(equality)]) ).
cnf(3798,plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(inverse(Y),Y),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[2606,3500,theory(equality)]) ).
cnf(4003,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[3181,3500,theory(equality)]) ).
cnf(4219,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[3500,2979,theory(equality)]) ).
cnf(4285,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[223,2979,theory(equality)]) ).
cnf(4958,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z))) = multiply(inverse(multiply(inverse(inverse(Z)),inverse(Y))),multiply(multiply(inverse(U),U),multiply(inverse(V),V))),
inference('PARAMODULATE',[status(thm)],[222,3781,theory(equality)]) ).
cnf(5117,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[3788,3788,theory(equality)]) ).
cnf(5600,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(U),U)))))),multiply(X,inverse(inverse(inverse(inverse(multiply(inverse(V),V))))))) = Y,
inference('PARAMODULATE',[status(thm)],[224,2984,theory(equality)]) ).
cnf(6257,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(Z))) = multiply(inverse(multiply(inverse(U),U)),multiply(inverse(inverse(inverse(multiply(inverse(V),V)))),inverse(Z))),
inference('PARAMODULATE',[status(thm)],[222,3041,theory(equality)]) ).
cnf(8244,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),multiply(multiply(inverse(Y),Y),inverse(Z))) = multiply(inverse(multiply(U,inverse(inverse(multiply(inverse(V),V))))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[108,3164,theory(equality)]) ).
cnf(8600,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = multiply(X,inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[3505,3505,theory(equality)]) ).
cnf(10308,plain,
inverse(multiply(X,multiply(inverse(Y),Y))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[2991,2991,theory(equality)]) ).
cnf(10434,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(inverse(multiply(inverse(V),V))))),multiply(U,inverse(X))),
inference('PARAMODULATE',[status(thm)],[223,2991,theory(equality)]) ).
cnf(10861,plain,
inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z)))) = inverse(multiply(inverse(multiply(inverse(inverse(Z)),inverse(Y))),multiply(inverse(U),U))),
inference('PARAMODULATE',[status(thm)],[10308,223,theory(equality)]) ).
cnf(10925,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z)))) = inverse(multiply(inverse(multiply(inverse(inverse(Z)),inverse(Y))),multiply(inverse(U),U))),
inference('PARAMODULATE',[status(thm)],[10308,222,theory(equality)]) ).
cnf(11084,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,multiply(inverse(V),V))))),W)))),multiply(X,inverse(W))) = Y,
inference('PARAMODULATE',[status(thm)],[224,10308,theory(equality)]) ).
cnf(11111,plain,
multiply(X,inverse(multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,multiply(inverse(U),U))))) = multiply(X,inverse(inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[2994,10308,theory(equality)]) ).
cnf(12701,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(Z))))),multiply(Y,inverse(inverse(inverse(multiply(inverse(U),U)))))),
inference('PARAMODULATE',[status(thm)],[3511,215,theory(equality)]) ).
cnf(12800,plain,
multiply(inverse(multiply(multiply(inverse(X),X),inverse(Y))),inverse(multiply(inverse(Z),Z))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[108,3529,theory(equality)]) ).
cnf(13736,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(inverse(multiply(inverse(Z),Z))),multiply(multiply(inverse(U),U),multiply(inverse(V),V)))),
inference('PARAMODULATE',[status(thm)],[5117,3795,theory(equality)]) ).
cnf(18903,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(inverse(Z),Z)) = multiply(inverse(inverse(multiply(inverse(U),U))),multiply(multiply(inverse(V),V),inverse(X))),
inference('PARAMODULATE',[status(thm)],[223,3012,theory(equality)]) ).
cnf(23705,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[108,8600,theory(equality)]) ).
cnf(25874,plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(Y),Y)),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[302,2606,theory(equality)]),1683,theory(equality)]) ).
cnf(25892,plain,
inverse(multiply(inverse(inverse(X)),inverse(Y))) = inverse(multiply(inverse(multiply(inverse(inverse(Y)),inverse(X))),multiply(inverse(Z),Z))),
inference('REWRITE',[status(thm)],[10925,25874,theory(equality)]) ).
cnf(25895,plain,
inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z)))) = inverse(multiply(inverse(inverse(Y)),inverse(Z))),
inference('REWRITE',[status(thm)],[10861,25892,theory(equality)]) ).
cnf(25954,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,multiply(inverse(U),U))),
inference('REWRITE',[status(thm)],[3192,25874,theory(equality)]) ).
cnf(25956,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[4285,25874,theory(equality)]) ).
cnf(26033,plain,
inverse(X) = inverse(multiply(multiply(inverse(Y),Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[302,3798,theory(equality)]),1683,theory(equality)]) ).
cnf(26034,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = inverse(inverse(multiply(Y,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[2589,26033,theory(equality)]) ).
cnf(26044,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[25956,26034,theory(equality)]) ).
cnf(26156,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),Y)))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[23705,26034,theory(equality)]) ).
cnf(26248,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[12800,26034,26033,theory(equality)]) ).
cnf(26341,plain,
inverse(X) = inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X)),
inference('PARAMODULATE',[status(thm)],[25874,2998,theory(equality)]) ).
cnf(26399,plain,
inverse(X) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),X)),
inference('PARAMODULATE',[status(thm)],[25874,2978,theory(equality)]) ).
cnf(26408,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y)),
inference('PARAMODULATE',[status(thm)],[3500,25874,theory(equality)]) ).
cnf(26412,plain,
inverse(X) = inverse(multiply(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),X)),
inference('PARAMODULATE',[status(thm)],[25874,3789,theory(equality)]) ).
cnf(26414,plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),X))),a2) != a2,
inference('PARAMODULATE',[status(thm)],[3501,25874,theory(equality)]) ).
cnf(26416,plain,
inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),X))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[240,25874,theory(equality)]) ).
cnf(26676,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y)),
inference('PARAMODULATE',[status(thm)],[3500,26033,theory(equality)]) ).
cnf(26678,plain,
inverse(multiply(inverse(X),multiply(multiply(inverse(Y),Y),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[3500,26033,theory(equality)]) ).
cnf(26688,plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))),X)),
inference('PARAMODULATE',[status(thm)],[25874,26033,theory(equality)]) ).
cnf(26984,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(multiply(inverse(Z),Z)))))) = inverse(inverse(multiply(Y,multiply(inverse(U),U)))),
inference('PARAMODULATE',[status(thm)],[26034,3040,theory(equality)]) ).
cnf(26990,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(multiply(inverse(Z),Z)))))) = inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[26034,2998,theory(equality)]) ).
cnf(26997,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[12701,26990,theory(equality)]) ).
cnf(27010,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[26984,26990,theory(equality)]) ).
cnf(27024,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(inverse(multiply(inverse(Z),Z))))))) = inverse(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z)))))),
inference('PARAMODULATE',[status(thm)],[26034,2978,theory(equality)]) ).
cnf(27033,plain,
inverse(inverse(multiply(multiply(multiply(X,inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))),inverse(inverse(multiply(inverse(U),U)))))) = X,
inference('REWRITE',[status(thm)],[5600,27024,theory(equality)]) ).
cnf(27058,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(inverse(inverse(multiply(inverse(Z),Z)))))))) = inverse(inverse(multiply(Y,inverse(inverse(inverse(multiply(inverse(Z),Z))))))),
inference('PARAMODULATE',[status(thm)],[26034,3181,theory(equality)]) ).
cnf(27131,plain,
inverse(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y)))))) = inverse(inverse(multiply(X,multiply(inverse(inverse(inverse(multiply(inverse(Z),Z)))),inverse(inverse(multiply(inverse(Y),Y))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26034,2623,theory(equality)]),27024,26399,theory(equality)]) ).
cnf(27137,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,multiply(inverse(V),V))))))) = inverse(inverse(multiply(Y,multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,multiply(inverse(V),V)))))),
inference('PARAMODULATE',[status(thm)],[26034,10308,theory(equality)]) ).
cnf(27153,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,inverse(inverse(multiply(inverse(V),V))))))))) = inverse(inverse(multiply(Y,multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,inverse(inverse(multiply(inverse(V),V)))))))),
inference('PARAMODULATE',[status(thm)],[26034,2991,theory(equality)]) ).
cnf(28076,plain,
inverse(inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)))) = inverse(inverse(multiply(multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[26997,26997,theory(equality)]) ).
cnf(28176,plain,
inverse(inverse(inverse(X))) = inverse(inverse(multiply(multiply(inverse(inverse(inverse(X))),inverse(inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26997,302,theory(equality)]),26341,25895,theory(equality)]) ).
cnf(28313,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y))))))),inverse(inverse(multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[26997,2994,theory(equality)]) ).
cnf(29109,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),multiply(inverse(Z),multiply(inverse(multiply(inverse(U),U)),Z))))),
inference('PARAMODULATE',[status(thm)],[26997,26408,theory(equality)]) ).
cnf(30137,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),multiply(multiply(multiply(inverse(U),U),multiply(inverse(V),V)),Z)))))) = inverse(inverse(multiply(Y,multiply(inverse(Z),multiply(multiply(multiply(inverse(U),U),multiply(inverse(V),V)),Z))))),
inference('PARAMODULATE',[status(thm)],[26034,26412,theory(equality)]) ).
cnf(30744,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),multiply(inverse(Z),multiply(multiply(inverse(U),U),Z)))) = multiply(inverse(multiply(V,inverse(Y))),multiply(V,multiply(inverse(Z),multiply(multiply(inverse(U),U),Z)))),
inference('PARAMODULATE',[status(thm)],[222,26676,theory(equality)]) ).
cnf(30778,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))))) = inverse(inverse(multiply(X,multiply(inverse(U),U)))),
inference('PARAMODULATE',[status(thm)],[27010,26676,theory(equality)]) ).
cnf(31348,plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y))),X))),a2) != a2,
inference('PARAMODULATE',[status(thm)],[26414,25874,theory(equality)]) ).
cnf(31987,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y))))),inverse(multiply(inverse(U),U))),inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[26997,26416,theory(equality)]) ).
cnf(32680,plain,
multiply(multiply(inverse(inverse(multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))))),multiply(inverse(U),U)),inverse(multiply(inverse(V),V))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[301,26678,theory(equality)]),25874,theory(equality)]) ).
cnf(34695,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(inverse(U),U)),multiply(inverse(inverse(multiply(inverse(V),V))),inverse(X))),
inference('PARAMODULATE',[status(thm)],[223,3020,theory(equality)]) ).
cnf(35083,plain,
inverse(inverse(multiply(multiply(multiply(X,inverse(multiply(inverse(Y),Y))),inverse(inverse(inverse(multiply(inverse(Z),Z))))),inverse(inverse(inverse(multiply(inverse(U),U))))))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[224,3048,theory(equality)]),27058,theory(equality)]) ).
cnf(36899,plain,
multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))),multiply(inverse(multiply(inverse(U),U)),inverse(inverse(multiply(inverse(V),V))))) = Y,
inference('PARAMODULATE',[status(thm)],[300,4219,theory(equality)]) ).
cnf(36985,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,multiply(inverse(multiply(inverse(Z),Z)),inverse(inverse(multiply(inverse(U),U))))),V)))),multiply(X,inverse(V))) = Y,
inference('PARAMODULATE',[status(thm)],[224,4219,theory(equality)]) ).
cnf(36987,plain,
multiply(multiply(inverse(multiply(X,multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z)))))),multiply(X,inverse(U))),inverse(multiply(inverse(V),V))) = inverse(U),
inference('PARAMODULATE',[status(thm)],[302,4219,theory(equality)]) ).
cnf(37089,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),inverse(Z))) = multiply(inverse(multiply(U,multiply(inverse(multiply(inverse(V),V)),inverse(inverse(multiply(inverse(Y),Y)))))),multiply(U,inverse(Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[222,4219,theory(equality)]),25874,theory(equality)]) ).
cnf(37837,plain,
multiply(inverse(inverse(X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),multiply(inverse(Z),Z))) = multiply(inverse(multiply(U,inverse(X))),multiply(U,multiply(inverse(V),V))),
inference('PARAMODULATE',[status(thm)],[25954,3276,theory(equality)]) ).
cnf(37975,plain,
multiply(inverse(inverse(X)),multiply(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),inverse(inverse(multiply(inverse(U),U))))) = multiply(inverse(multiply(V,inverse(X))),multiply(V,multiply(inverse(W),W))),
inference('PARAMODULATE',[status(thm)],[25954,4003,theory(equality)]) ).
cnf(37984,plain,
multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y)),multiply(inverse(U),U))) = multiply(inverse(multiply(V,inverse(X))),multiply(V,multiply(inverse(W),W))),
inference('PARAMODULATE',[status(thm)],[25954,26676,theory(equality)]) ).
cnf(37988,plain,
multiply(inverse(inverse(X)),multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),multiply(Y,multiply(inverse(U),U)))) = multiply(inverse(multiply(V,inverse(X))),multiply(V,multiply(inverse(W),W))),
inference('PARAMODULATE',[status(thm)],[25954,2991,theory(equality)]) ).
cnf(38002,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,multiply(inverse(multiply(U,multiply(inverse(V),V))),multiply(U,inverse(inverse(multiply(inverse(W),W))))))),
inference('PARAMODULATE',[status(thm)],[25954,2991,theory(equality)]) ).
cnf(38082,plain,
multiply(multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,multiply(inverse(Z),Z))))),multiply(inverse(U),U)),inverse(multiply(inverse(V),V))) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[301,25954,theory(equality)]),26341,theory(equality)]) ).
cnf(38103,plain,
inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))))) = inverse(inverse(multiply(inverse(inverse(X)),multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[26156,26044,theory(equality)]) ).
cnf(38529,plain,
multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(inverse(Y),Y))) = inverse(inverse(multiply(inverse(multiply(Z,inverse(X))),multiply(Z,multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[26248,25954,theory(equality)]) ).
cnf(38898,plain,
multiply(inverse(inverse(multiply(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,26248,theory(equality)]),26034,theory(equality)]) ).
cnf(38930,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26997,26248,theory(equality)]),28176,theory(equality)]) ).
cnf(38933,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[38103,38930,theory(equality)]) ).
cnf(38934,plain,
multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(inverse(Y),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[38898,38930,38933,theory(equality)]) ).
cnf(38935,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[38529,38934,theory(equality)]) ).
cnf(38936,plain,
multiply(multiply(inverse(inverse(X)),multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[38082,38935,theory(equality)]) ).
cnf(38937,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))))) = X,
inference('REWRITE',[status(thm)],[32680,38936,theory(equality)]) ).
cnf(38938,plain,
X = inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[30778,38937,theory(equality)]) ).
cnf(38949,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[38933,38938,theory(equality)]) ).
cnf(39023,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[38934,38949,theory(equality)]) ).
cnf(39025,plain,
inverse(inverse(X)) = inverse(inverse(multiply(X,multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y))))),
inference('REWRITE',[status(thm)],[31987,38949,39023,theory(equality)]) ).
cnf(39379,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)))),
inference('REWRITE',[status(thm)],[29109,39025,theory(equality)]) ).
cnf(39380,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[28076,39379,theory(equality)]) ).
cnf(39381,plain,
inverse(inverse(X)) = inverse(inverse(multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y))))))),
inference('REWRITE',[status(thm)],[28313,39380,theory(equality)]) ).
cnf(39382,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))) = X,
inference('REWRITE',[status(thm)],[35083,39381,theory(equality)]) ).
cnf(39383,plain,
inverse(inverse(X)) = multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[39380,39382,theory(equality)]) ).
cnf(39384,plain,
inverse(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y)))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[27131,39381,39383,theory(equality)]) ).
cnf(39385,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[27033,39382,39384,theory(equality)]) ).
cnf(39408,plain,
multiply(inverse(multiply(X,multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z)))))),multiply(X,inverse(U))) = inverse(U),
inference('REWRITE',[status(thm)],[36987,39385,theory(equality)]) ).
cnf(39409,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[37089,39408,theory(equality)]) ).
cnf(39410,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[6257,39409,theory(equality)]) ).
cnf(39411,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(inverse(Z),Z)) = inverse(X),
inference('REWRITE',[status(thm)],[34695,39410,theory(equality)]) ).
cnf(39412,plain,
inverse(X) = multiply(inverse(inverse(multiply(inverse(Y),Y))),multiply(multiply(inverse(Z),Z),inverse(X))),
inference('REWRITE',[status(thm)],[18903,39411,theory(equality)]) ).
cnf(39415,plain,
inverse(X) = multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[8244,39412,theory(equality)]) ).
cnf(39421,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = inverse(X),
inference('REWRITE',[status(thm)],[10434,39415,theory(equality)]) ).
cnf(39422,plain,
inverse(X) = multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[3168,39421,theory(equality)]) ).
cnf(39423,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[38002,39422,theory(equality)]) ).
cnf(39424,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[27153,39384,38949,39422,theory(equality)]) ).
cnf(39425,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[39423,39424,theory(equality)]) ).
cnf(39433,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(X))),multiply(Y,multiply(inverse(Z),Z))),
inference('REWRITE',[status(thm)],[37837,39383,39425,theory(equality)]) ).
cnf(39439,plain,
multiply(inverse(inverse(X)),multiply(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),inverse(inverse(multiply(inverse(U),U))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[37975,39433,theory(equality)]) ).
cnf(39442,plain,
multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y)),multiply(inverse(U),U))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[37984,39433,theory(equality)]) ).
cnf(39444,plain,
multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[37988,39433,theory(equality)]) ).
cnf(39445,plain,
inverse(inverse(inverse(X))) = inverse(X),
inference('REWRITE',[status(thm)],[39411,39425,39444,theory(equality)]) ).
cnf(39448,plain,
multiply(X,inverse(multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,multiply(inverse(U),U))))) = X,
inference('REWRITE',[status(thm)],[11111,39385,39445,theory(equality)]) ).
cnf(39449,plain,
multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))) = Y,
inference('REWRITE',[status(thm)],[11084,39448,theory(equality)]) ).
cnf(39450,plain,
multiply(X,multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z))))) = X,
inference('REWRITE',[status(thm)],[36985,39449,theory(equality)]) ).
cnf(39451,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))) = Y,
inference('REWRITE',[status(thm)],[36899,39450,theory(equality)]) ).
cnf(39452,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = X,
inference('REWRITE',[status(thm)],[3610,39451,theory(equality)]) ).
cnf(39463,plain,
multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[39439,39452,theory(equality)]) ).
cnf(39464,plain,
multiply(X,multiply(inverse(Y),Y)) = X,
inference('REWRITE',[status(thm)],[13736,39452,39463,theory(equality)]) ).
cnf(39470,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[39442,39464,theory(equality)]) ).
cnf(39473,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(inverse(Y))) = multiply(inverse(multiply(Z,inverse(Y))),multiply(Z,multiply(inverse(U),multiply(multiply(inverse(V),V),U)))),
inference('REWRITE',[status(thm)],[30744,39470,theory(equality)]) ).
cnf(39479,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z))) = inverse(multiply(inverse(inverse(Z)),inverse(Y))),
inference('REWRITE',[status(thm)],[4958,39464,theory(equality)]) ).
cnf(39481,plain,
inverse(multiply(inverse(inverse(X)),inverse(Y))) = multiply(inverse(multiply(Z,inverse(Y))),multiply(Z,inverse(X))),
inference('REWRITE',[status(thm)],[222,39479,theory(equality)]) ).
cnf(39517,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[30137,38937,26688,39445,39481,39464,theory(equality)]) ).
cnf(39518,plain,
multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))) = X,
inference('REWRITE',[status(thm)],[38937,39517,theory(equality)]) ).
cnf(39527,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = multiply(inverse(multiply(Z,inverse(Y))),Z),
inference('REWRITE',[status(thm)],[39473,39518,39517,theory(equality)]) ).
cnf(39559,plain,
multiply(inverse(multiply(X,inverse(Y))),X) = Y,
inference('REWRITE',[status(thm)],[27137,39517,39464,theory(equality)]) ).
cnf(39561,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[39527,39559,theory(equality)]) ).
cnf(39562,plain,
$false,
inference('REWRITE',[status(thm)],[31348,39561,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 05:07:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T05:07:10
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-13T05:07:10
% 31.80/32.00
% 31.80/32.00
% 31.80/32.00 #||
% 31.80/32.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.80/32.00 % SZS output start Refutation
% See solution above
% 31.89/32.10 ||#
% 31.89/32.10
% 31.89/32.10 ; Summary of computation:
% 31.89/32.10 ; 181792 formulas have been input or derived (from 228 formulas).
% 31.89/32.10 ; 39562 (22%) were retained. Of these,
% 31.89/32.10 ; 39502 (100%) were simplified or subsumed later,
% 31.89/32.10 ; 60 ( 0%) are still being kept.
% 31.89/32.10 ;
% 31.89/32.10 ; Run time in seconds excluding printing time:
% 31.89/32.10 ; 0.000 0% Read assertion file (1 call)
% 31.89/32.10 ; 0.001 0% Assert (2 calls)
% 31.89/32.10 ; 6.426 20% Process new row (164,315 calls)
% 31.89/32.10 ; 0.190 1% Resolution (454 calls)
% 31.89/32.10 ; 3.275 10% Paramodulation (227 calls)
% 31.89/32.10 ; 10.739 34% Forward simplification (161,911 calls)
% 31.89/32.10 ; 9.917 31% Backward simplification (39,562 calls)
% 31.89/32.10 ; 0.440 1% Ordering (213,614 calls)
% 31.89/32.10 ; 0.001 0% Sortal reasoning (32 calls)
% 31.89/32.10 ; 0.000 0% Purity testing (1 call)
% 31.89/32.10 ; 0.536 2% Other
% 31.89/32.10 ; 31.525 Total
% 31.89/32.10 ; 31.630 Real time
% 31.89/32.10 ;
% 31.89/32.10 ; Term-hash-array has 74,945 terms in all.
% 31.89/32.10 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 31.89/32.10 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 31.89/32.11 ; Path-index has 153 entries (46,025 at peak, 76,798 added, 76,645 deleted).
% 31.89/32.11 ; Path-index has 46,801 nodes (58,749 at peak, 76,037 added, 29,236 deleted).
% 31.89/32.11 ; Trie-index has 153 entries (46,025 at peak, 76,798 added, 76,645 deleted).
% 31.89/32.11 ; Trie-index has 787 nodes (376,258 at peak, 649,981 added, 649,194 deleted).
% 31.89/32.11 ; Retrieved 331,781 generalization terms in 2,210,778 calls.
% 31.89/32.11 ; Retrieved 74,600 instance terms in 39,602 calls.
% 31.89/32.11 ; Retrieved 464,910 unifiable terms in 2,966 calls.
% 31.89/32.11 ;
% 31.89/32.11 ; The agenda of backward simplifiable rows to process has 14060 entries:
% 31.89/32.11 ; 14060 with value 0
% 31.89/32.11 ; The agenda of rows to process has 99 entries:
% 31.89/32.11 ; 36 with value 59 16 with value 61 2 with value 63
% 31.89/32.11 ; 32 with value 60 12 with value 62 1 with value 75
% 31.89/32.11 ; The agenda of rows to give has 49 entries:
% 31.89/32.11 ; 1 with value (4 18) 1 with value (4 33) 2 with value (4 43)
% 31.89/32.11 ; 1 with value (4 20) 3 with value (4 36) 5 with value (4 44)
% 31.89/32.11 ; 1 with value (4 25) 2 with value (4 37) 7 with value (4 45)
% 31.89/32.11 ; 1 with value (4 27) 1 with value (4 38) 3 with value (4 46)
% 31.89/32.11 ; 4 with value (4 28) 5 with value (4 39) 3 with value (4 47)
% 31.89/32.11 ; 4 with value (4 29) 1 with value (4 41) 1 with value (4 48)
% 31.89/32.11 ; 2 with value (4 32) 1 with value (4 42)
% 31.89/32.11 Evaluation took:
% 31.89/32.11 31.633 seconds of real time
% 31.89/32.11 28.995836 seconds of user run time
% 31.89/32.11 2.631598 seconds of system run time
% 31.89/32.11 [Run times include 10.265 seconds GC run time.]
% 31.89/32.11 0 calls to %EVAL
% 31.89/32.11 0 page faults and
% 31.89/32.11 1,814,480,432 bytes consed.
% 31.89/32.11 :PROOF-FOUND
% 31.89/32.11 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T05:07:41
% 31.89/32.11 :PROOF-FOUND
% 31.89/32.11 *
%------------------------------------------------------------------------------