TSTP Solution File: GRP056-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP056-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 11:35:45 EDT 2022
% Result : Unsatisfiable 2.76s 2.98s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 2
% Syntax : Number of clauses : 146 ( 143 unt; 0 nHn; 5 RR)
% Number of literals : 150 ( 149 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 506 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(Z),Z))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(3,plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(X),Z)))),multiply(Y,inverse(Z)))),inverse(Z)))),inverse(multiply(inverse(Z),Z))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(4,plain,
multiply(inverse(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(inverse(Y),Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(11,plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),U)))),multiply(Y,inverse(U)))),inverse(multiply(inverse(X),multiply(inverse(U),U))))),Z)),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(U),U)))) = multiply(inverse(U),U),
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(14,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),inverse(multiply(inverse(Z),Z)))),Z)))),multiply(X,inverse(Z))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,4,theory(equality)]) ).
cnf(15,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(multiply(inverse(Y),Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[4,4,theory(equality)]) ).
cnf(19,plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(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(inverse(multiply(inverse(Z),Z)),U)))),multiply(V,inverse(U))),
inference('PARAMODULATE',[status(thm)],[4,single_axiom,theory(equality)]) ).
cnf(43,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(Z),inverse(multiply(inverse(U),U)))),U)))))),multiply(X,inverse(inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U))))),inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U))))))) = multiply(inverse(multiply(V,inverse(Z))),multiply(V,inverse(multiply(Y,inverse(U))))),
inference('PARAMODULATE',[status(thm)],[4,14,theory(equality)]) ).
cnf(45,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)],[15,14,theory(equality)]) ).
cnf(54,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)],[45,single_axiom,theory(equality)]) ).
cnf(55,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(Z,inverse(U)))))),multiply(X,inverse(multiply(Z,inverse(U)))))),inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U))))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,54,theory(equality)]) ).
cnf(59,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(Z),inverse(U))),multiply(inverse(Z),inverse(U)))))),multiply(Y,inverse(U)))))),multiply(X,inverse(multiply(inverse(Z),inverse(U))))) = Z,
inference('PARAMODULATE',[status(thm)],[14,54,theory(equality)]) ).
cnf(69,plain,
multiply(inverse(X),inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z))))) = multiply(inverse(X),inverse(multiply(inverse(multiply(U,inverse(Z))),multiply(U,inverse(Z))))),
inference('PARAMODULATE',[status(thm)],[55,14,theory(equality)]) ).
cnf(80,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))),inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U))))) = Y,
inference('PARAMODULATE',[status(thm)],[55,4,theory(equality)]) ).
cnf(91,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))),inverse(multiply(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V,inverse(multiply(inverse(W),multiply(X1,inverse(U)))))),multiply(V,inverse(multiply(X1,inverse(U)))))),inverse(multiply(inverse(Y),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))),W),
inference('PARAMODULATE',[status(thm)],[4,55,theory(equality)]) ).
cnf(93,plain,
multiply(inverse(X),inverse(multiply(inverse(Y),Y))) = multiply(inverse(X),inverse(multiply(inverse(multiply(Z,inverse(multiply(inverse(U),U)))),multiply(Z,inverse(multiply(inverse(U),U)))))),
inference('PARAMODULATE',[status(thm)],[69,single_axiom,theory(equality)]) ).
cnf(101,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))),inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U))))))) = multiply(inverse(multiply(W,inverse(multiply(inverse(Y),multiply(Z,inverse(U)))))),multiply(W,inverse(multiply(Z,inverse(U))))),
inference('PARAMODULATE',[status(thm)],[4,69,theory(equality)]) ).
cnf(111,plain,
multiply(inverse(X),inverse(multiply(inverse(Y),Y))) = multiply(inverse(X),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[93,93,theory(equality)]) ).
cnf(112,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(U),U))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,111,theory(equality)]) ).
cnf(114,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),inverse(multiply(inverse(Z),Z)))),U)))),multiply(X,inverse(U))) = Y,
inference('PARAMODULATE',[status(thm)],[14,111,theory(equality)]) ).
cnf(126,plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(X),Z)))),multiply(Y,inverse(Z)))),inverse(U)))),inverse(multiply(inverse(V),V))) = U,
inference('PARAMODULATE',[status(thm)],[112,112,theory(equality)]) ).
cnf(127,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(Z),Z)),X)))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[19,126,theory(equality)]) ).
cnf(134,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(U),multiply(inverse(V),V))))),Y)),inverse(multiply(inverse(W),W))) = U,
inference('PARAMODULATE',[status(thm)],[112,112,theory(equality)]) ).
cnf(135,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Y),Y)))) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[11,134,theory(equality)]) ).
cnf(136,plain,
multiply(inverse(X),X) = multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[111,135,theory(equality)]) ).
cnf(137,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[136,136,theory(equality)]) ).
cnf(138,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('REWRITE',[status(thm)],[prove_these_axioms,137,theory(equality)]) ).
cnf(152,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(inverse(multiply(inverse(Z),Z)))))),inverse(multiply(inverse(U),U))) = multiply(inverse(V),V),
inference('PARAMODULATE',[status(thm)],[112,136,theory(equality)]) ).
cnf(157,plain,
( multiply(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('PARAMODULATE',[status(thm)],[138,136,theory(equality)]) ).
cnf(160,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)],[54,137,theory(equality)]) ).
cnf(161,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)],[54,137,theory(equality)]) ).
cnf(162,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(U),U))) = Z,
inference('PARAMODULATE',[status(thm)],[112,137,theory(equality)]) ).
cnf(163,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[152,162,theory(equality)]) ).
cnf(166,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[163,163,theory(equality)]) ).
cnf(167,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[163,163,theory(equality)]) ).
cnf(169,plain,
inverse(multiply(inverse(X),X)) = multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[163,163,theory(equality)]) ).
cnf(174,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[136,163,theory(equality)]) ).
cnf(176,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y)))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[163,136,theory(equality)]) ).
cnf(178,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[111,163,theory(equality)]) ).
cnf(195,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))),multiply(X,inverse(Z)))),inverse(multiply(inverse(U),U))) = Z,
inference('PARAMODULATE',[status(thm)],[112,163,theory(equality)]) ).
cnf(204,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[163,166,theory(equality)]) ).
cnf(206,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[163,166,theory(equality)]) ).
cnf(216,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[163,167,theory(equality)]) ).
cnf(218,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[166,167,theory(equality)]) ).
cnf(219,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[167,167,theory(equality)]) ).
cnf(223,plain,
inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[163,167,theory(equality)]) ).
cnf(227,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[136,167,theory(equality)]) ).
cnf(300,plain,
inverse(multiply(inverse(X),X)) = multiply(multiply(inverse(Y),Y),inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[169,167,theory(equality)]) ).
cnf(799,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(Y,inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),X)))))))),multiply(Y,inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[127,219,theory(equality)]) ).
cnf(802,plain,
multiply(X,inverse(Y)) = multiply(X,inverse(multiply(inverse(multiply(inverse(Z),Z)),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[112,127,theory(equality)]),195,theory(equality)]) ).
cnf(804,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))),inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V,inverse(multiply(inverse(W),multiply(X1,inverse(U)))))),multiply(V,inverse(multiply(X1,inverse(U)))))),inverse(multiply(inverse(Y),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))),W),
inference('REWRITE',[status(thm)],[91,802,theory(equality)]) ).
cnf(820,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[802,163,theory(equality)]) ).
cnf(821,plain,
multiply(X,inverse(Y)) = multiply(X,inverse(multiply(multiply(inverse(Z),Z),Y))),
inference('PARAMODULATE',[status(thm)],[802,163,theory(equality)]) ).
cnf(823,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = multiply(X,inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[802,136,theory(equality)]) ).
cnf(824,plain,
multiply(X,inverse(Y)) = multiply(X,inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),Y))),
inference('PARAMODULATE',[status(thm)],[802,163,theory(equality)]) ).
cnf(825,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))))),inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V,inverse(multiply(inverse(W),multiply(X1,inverse(U)))))),multiply(V,inverse(multiply(X1,inverse(U)))))),inverse(multiply(inverse(Y),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))),W),
inference('REWRITE',[status(thm)],[804,824,theory(equality)]) ).
cnf(831,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U)))))) = multiply(inverse(multiply(W,inverse(multiply(inverse(Y),multiply(Z,inverse(U)))))),multiply(W,inverse(multiply(Z,inverse(U))))),
inference('REWRITE',[status(thm)],[101,824,theory(equality)]) ).
cnf(835,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))),inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U))))) = Y,
inference('REWRITE',[status(thm)],[80,824,theory(equality)]) ).
cnf(836,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(Z),inverse(multiply(inverse(U),U)))),U)))))),multiply(X,inverse(inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U)))))))),inverse(inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U)))))) = multiply(inverse(multiply(V,inverse(Z))),multiply(V,inverse(multiply(Y,inverse(U))))),
inference('REWRITE',[status(thm)],[43,824,theory(equality)]) ).
cnf(874,plain,
multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(Z)))) = multiply(X,inverse(multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z))))),
inference('PARAMODULATE',[status(thm)],[802,54,theory(equality)]) ).
cnf(882,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))),inverse(multiply(inverse(inverse(U)),inverse(U)))) = Y,
inference('REWRITE',[status(thm)],[835,874,theory(equality)]) ).
cnf(894,plain,
multiply(inverse(multiply(X,inverse(inverse(Y)))),multiply(X,inverse(multiply(inverse(Z),inverse(Y))))) = Z,
inference('REWRITE',[status(thm)],[59,824,874,theory(equality)]) ).
cnf(902,plain,
multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),Z)))) = multiply(X,inverse(inverse(Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[802,802,theory(equality)]),802,theory(equality)]) ).
cnf(903,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V,inverse(multiply(inverse(W),multiply(X1,inverse(U)))))),multiply(V,inverse(multiply(X1,inverse(U)))))),inverse(multiply(inverse(Y),multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))),W),
inference('REWRITE',[status(thm)],[825,902,theory(equality)]) ).
cnf(943,plain,
multiply(inverse(multiply(X,inverse(inverse(Y)))),multiply(X,multiply(inverse(Z),Z))) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[894,163,theory(equality)]) ).
cnf(944,plain,
multiply(inverse(multiply(X,inverse(inverse(Y)))),multiply(X,inverse(multiply(inverse(Z),Z)))) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[894,137,theory(equality)]) ).
cnf(945,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),X)))))) = inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),
inference('REWRITE',[status(thm)],[799,944,theory(equality)]) ).
cnf(946,plain,
multiply(multiply(inverse(X),X),multiply(inverse(inverse(inverse(Y))),inverse(multiply(inverse(Z),inverse(Y))))) = Z,
inference('PARAMODULATE',[status(thm)],[894,163,theory(equality)]) ).
cnf(947,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(inverse(Y)))),multiply(inverse(Z),Z)) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[894,136,theory(equality)]) ).
cnf(969,plain,
multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(Z),inverse(inverse(multiply(inverse(U),U))))))) = Z,
inference('PARAMODULATE',[status(thm)],[894,216,theory(equality)]) ).
cnf(981,plain,
multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(Z),inverse(inverse(inverse(multiply(inverse(U),U)))))))) = Z,
inference('PARAMODULATE',[status(thm)],[894,219,theory(equality)]) ).
cnf(986,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[820,163,theory(equality)]) ).
cnf(987,plain,
multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y))))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[820,167,theory(equality)]) ).
cnf(988,plain,
multiply(X,multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))) = multiply(X,multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[820,169,theory(equality)]) ).
cnf(996,plain,
multiply(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))),multiply(X,inverse(multiply(inverse(Z),multiply(inverse(U),U))))) = Z,
inference('PARAMODULATE',[status(thm)],[894,820,theory(equality)]) ).
cnf(1019,plain,
multiply(inverse(inverse(multiply(multiply(inverse(X),X),Y))),inverse(Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[137,821,theory(equality)]) ).
cnf(1031,plain,
multiply(X,inverse(Y)) = multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(U),U)),Y))),
inference('PARAMODULATE',[status(thm)],[821,166,theory(equality)]) ).
cnf(1244,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(multiply(inverse(Z),multiply(inverse(multiply(inverse(U),U)),multiply(inverse(Y),Y)))))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[894,204,theory(equality)]),802,theory(equality)]) ).
cnf(1727,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(inverse(multiply(inverse(V),V))))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[54,823,theory(equality)]) ).
cnf(1759,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y)))),multiply(inverse(inverse(inverse(Z))),multiply(inverse(U),U))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[943,136,theory(equality)]) ).
cnf(2071,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U))))))),multiply(X,multiply(inverse(V),V)))),inverse(multiply(inverse(W),W))) = Y,
inference('PARAMODULATE',[status(thm)],[112,176,theory(equality)]) ).
cnf(2212,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(U),U)))))),multiply(X,multiply(inverse(V),V)))),inverse(multiply(inverse(W),W))) = Y,
inference('PARAMODULATE',[status(thm)],[112,206,theory(equality)]) ).
cnf(2336,plain,
multiply(inverse(multiply(multiply(inverse(X),X),multiply(multiply(inverse(Y),Y),inverse(Z)))),inverse(multiply(inverse(U),U))) = Z,
inference('PARAMODULATE',[status(thm)],[112,223,theory(equality)]) ).
cnf(3380,plain,
multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),multiply(inverse(Z),Z))))),inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(V),V))) = Y,
inference('PARAMODULATE',[status(thm)],[112,178,theory(equality)]) ).
cnf(4704,plain,
multiply(inverse(multiply(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),inverse(multiply(inverse(Z),Z)))))),inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(V),V))) = Y,
inference('PARAMODULATE',[status(thm)],[112,300,theory(equality)]) ).
cnf(5146,plain,
multiply(multiply(inverse(X),X),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),multiply(inverse(Y),Y))))) = Z,
inference('PARAMODULATE',[status(thm)],[946,167,theory(equality)]) ).
cnf(5156,plain,
multiply(multiply(inverse(X),X),multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),inverse(inverse(multiply(inverse(U),U))))))) = Z,
inference('PARAMODULATE',[status(thm)],[946,219,theory(equality)]) ).
cnf(5168,plain,
multiply(multiply(inverse(X),X),multiply(inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(Z),multiply(inverse(U),U))))) = Z,
inference('PARAMODULATE',[status(thm)],[946,986,theory(equality)]) ).
cnf(5182,plain,
multiply(multiply(inverse(X),X),multiply(inverse(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),Z)))),inverse(multiply(inverse(U),inverse(Z))))) = U,
inference('PARAMODULATE',[status(thm)],[946,824,theory(equality)]) ).
cnf(5186,plain,
multiply(multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)),multiply(inverse(Z),Z)),multiply(inverse(inverse(inverse(U))),inverse(multiply(inverse(V),inverse(U))))) = V,
inference('PARAMODULATE',[status(thm)],[946,204,theory(equality)]) ).
cnf(5207,plain,
multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),inverse(multiply(inverse(V),V)))))) = U,
inference('PARAMODULATE',[status(thm)],[946,227,theory(equality)]) ).
cnf(5216,plain,
multiply(multiply(inverse(X),X),multiply(inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(Z),inverse(inverse(inverse(multiply(inverse(Y),Y)))))))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[946,218,theory(equality)]),945,theory(equality)]) ).
cnf(5221,plain,
multiply(multiply(inverse(X),X),multiply(inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(U),multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))))))) = U,
inference('PARAMODULATE',[status(thm)],[946,174,theory(equality)]) ).
cnf(5250,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))))),inverse(inverse(Z)))),multiply(inverse(U),U)) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[947,176,theory(equality)]) ).
cnf(5462,plain,
multiply(X,inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z)),multiply(inverse(U),U)))))) = multiply(X,multiply(inverse(V),V)),
inference('PARAMODULATE',[status(thm)],[987,204,theory(equality)]) ).
cnf(5564,plain,
multiply(X,multiply(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),Z))),inverse(Z)),multiply(inverse(U),U))) = multiply(X,multiply(inverse(V),V)),
inference('PARAMODULATE',[status(thm)],[988,824,theory(equality)]) ).
cnf(5597,plain,
inverse(X) = inverse(multiply(multiply(inverse(Y),Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[894,1019,theory(equality)]),944,theory(equality)]) ).
cnf(5599,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))) = X,
inference('REWRITE',[status(thm)],[4704,5597,theory(equality)]) ).
cnf(5600,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[2336,5597,theory(equality)]) ).
cnf(5601,plain,
multiply(inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))) = X,
inference('REWRITE',[status(thm)],[5599,5600,theory(equality)]) ).
cnf(5602,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
inference('REWRITE',[status(thm)],[3380,5601,theory(equality)]) ).
cnf(5603,plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference('REWRITE',[status(thm)],[5146,5602,theory(equality)]) ).
cnf(5604,plain,
multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(Z),multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y)))))) = Z,
inference('REWRITE',[status(thm)],[5221,5603,theory(equality)]) ).
cnf(5607,plain,
multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(Y),inverse(inverse(inverse(multiply(inverse(X),X))))))) = Y,
inference('REWRITE',[status(thm)],[5216,5603,theory(equality)]) ).
cnf(5608,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),inverse(multiply(inverse(U),U))))) = Z,
inference('REWRITE',[status(thm)],[5207,5603,theory(equality)]) ).
cnf(5614,plain,
multiply(inverse(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),Y)))),inverse(multiply(inverse(Z),inverse(Y)))) = Z,
inference('REWRITE',[status(thm)],[5182,5603,theory(equality)]) ).
cnf(5619,plain,
multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
inference('REWRITE',[status(thm)],[5168,5603,theory(equality)]) ).
cnf(5623,plain,
inverse(multiply(inverse(X),inverse(inverse(multiply(inverse(Y),Y))))) = X,
inference('REWRITE',[status(thm)],[5156,5603,theory(equality)]) ).
cnf(5629,plain,
multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))),inverse(multiply(inverse(inverse(U)),inverse(U)))) = Y,
inference('REWRITE',[status(thm)],[882,5623,theory(equality)]) ).
cnf(5632,plain,
multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,Z)) = Z,
inference('REWRITE',[status(thm)],[969,5623,theory(equality)]) ).
cnf(5633,plain,
inverse(multiply(inverse(X),inverse(inverse(inverse(multiply(inverse(Y),Y)))))) = X,
inference('REWRITE',[status(thm)],[981,5632,theory(equality)]) ).
cnf(5634,plain,
multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),Y) = Y,
inference('REWRITE',[status(thm)],[5607,5633,theory(equality)]) ).
cnf(5635,plain,
inverse(multiply(inverse(X),multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[5619,5634,theory(equality)]) ).
cnf(5636,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))))),inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V,inverse(multiply(inverse(W),multiply(X1,inverse(U)))))),multiply(V,inverse(multiply(X1,inverse(U)))))),Y)),W),
inference('REWRITE',[status(thm)],[903,5635,theory(equality)]) ).
cnf(5641,plain,
multiply(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))),multiply(X,Z)) = Z,
inference('REWRITE',[status(thm)],[996,5635,theory(equality)]) ).
cnf(5642,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[1727,5641,theory(equality)]) ).
cnf(5643,plain,
inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z)))) = X,
inference('REWRITE',[status(thm)],[1244,5642,theory(equality)]) ).
cnf(5644,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))) = Y,
inference('REWRITE',[status(thm)],[2212,5643,theory(equality)]) ).
cnf(5645,plain,
inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))))) = X,
inference('REWRITE',[status(thm)],[2071,5644,theory(equality)]) ).
cnf(5646,plain,
multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))))),Z) = Z,
inference('REWRITE',[status(thm)],[5604,5645,theory(equality)]) ).
cnf(5647,plain,
multiply(inverse(inverse(inverse(X))),multiply(inverse(Y),Y)) = inverse(X),
inference('REWRITE',[status(thm)],[5250,5646,theory(equality)]) ).
cnf(5650,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y)))),inverse(Z)) = inverse(Z),
inference('REWRITE',[status(thm)],[1759,5647,theory(equality)]) ).
cnf(5651,plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))) = X,
inference('REWRITE',[status(thm)],[5608,5650,theory(equality)]) ).
cnf(5652,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[5601,5651,theory(equality)]) ).
cnf(5656,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))))) = Y,
inference('REWRITE',[status(thm)],[5629,5652,theory(equality)]) ).
cnf(5661,plain,
multiply(inverse(X),inverse(inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z)))))) = multiply(inverse(multiply(U,inverse(multiply(inverse(X),multiply(V,inverse(Z)))))),multiply(U,inverse(multiply(V,inverse(Z))))),
inference('REWRITE',[status(thm)],[831,5656,theory(equality)]) ).
cnf(5662,plain,
multiply(inverse(X),inverse(inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(U,inverse(multiply(inverse(V),multiply(W,inverse(Z)))))),multiply(U,inverse(multiply(W,inverse(Z)))))),X)),V),
inference('REWRITE',[status(thm)],[5636,5656,theory(equality)]) ).
cnf(5667,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[5600,5652,theory(equality)]) ).
cnf(5671,plain,
multiply(inverse(X),multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z)))) = multiply(inverse(multiply(U,inverse(multiply(inverse(X),multiply(V,inverse(Z)))))),multiply(U,inverse(multiply(V,inverse(Z))))),
inference('REWRITE',[status(thm)],[5661,5667,theory(equality)]) ).
cnf(5672,plain,
multiply(inverse(X),multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(U,inverse(multiply(inverse(V),multiply(W,inverse(Z)))))),multiply(U,inverse(multiply(W,inverse(Z)))))),X)),V),
inference('REWRITE',[status(thm)],[5662,5667,theory(equality)]) ).
cnf(5721,plain,
multiply(X,multiply(multiply(Y,inverse(Y)),multiply(inverse(Z),Z))) = multiply(X,multiply(inverse(U),U)),
inference('REWRITE',[status(thm)],[5564,5603,5667,theory(equality)]) ).
cnf(5732,plain,
X = multiply(X,multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[5462,5652,1031,5667,theory(equality)]) ).
cnf(5734,plain,
inverse(X) = multiply(inverse(multiply(Y,inverse(multiply(inverse(X),multiply(Z,inverse(U)))))),multiply(Y,inverse(multiply(Z,inverse(U))))),
inference('REWRITE',[status(thm)],[5671,5732,theory(equality)]) ).
cnf(5736,plain,
inverse(X) = multiply(inverse(multiply(Y,X)),Y),
inference('REWRITE',[status(thm)],[5672,5667,5734,5732,theory(equality)]) ).
cnf(5748,plain,
multiply(X,multiply(Y,inverse(Y))) = X,
inference('REWRITE',[status(thm)],[5721,5732,theory(equality)]) ).
cnf(5751,plain,
multiply(inverse(X),inverse(multiply(inverse(Y),inverse(X)))) = Y,
inference('REWRITE',[status(thm)],[5614,5603,5667,theory(equality)]) ).
cnf(5754,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[5186,5751,5732,5667,theory(equality)]) ).
cnf(5755,plain,
multiply(X,inverse(Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(Y))),
inference('REWRITE',[status(thm)],[160,5754,5667,theory(equality)]) ).
cnf(5760,plain,
inverse(multiply(X,inverse(Y))) = multiply(Y,inverse(X)),
inference('REWRITE',[status(thm)],[161,5755,5732,5667,theory(equality)]) ).
cnf(5765,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference('REWRITE',[status(thm)],[157,5754,5652,theory(equality)]) ).
cnf(5767,plain,
inverse(multiply(X,inverse(multiply(Y,Z)))) = multiply(Y,inverse(multiply(X,inverse(Z)))),
inference('REWRITE',[status(thm)],[836,5667,5736,5748,5760,5755,5651,theory(equality)]) ).
cnf(5768,plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[114,5755,5651,theory(equality)]) ).
cnf(5775,plain,
multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
inference('PARAMODULATE',[status(thm)],[5768,5736,theory(equality)]) ).
cnf(5797,plain,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5767,5775,theory(equality)]),5667,5775,theory(equality)]) ).
cnf(5798,plain,
$false,
inference('REWRITE',[status(thm)],[5765,5797,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP056-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 21:00:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:00:10
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-13T21:00:10
% 2.76/2.98
% 2.76/2.98
% 2.76/2.98 #||
% 2.76/2.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/2.98 % SZS output start Refutation
% See solution above
% 2.83/3.00 ||#
% 2.83/3.00
% 2.83/3.00 ; Summary of computation:
% 2.83/3.00 ; 22893 formulas have been input or derived (from 84 formulas).
% 2.83/3.00 ; 5798 (25%) were retained. Of these,
% 2.83/3.00 ; 5763 (99%) were simplified or subsumed later,
% 2.83/3.00 ; 35 ( 1%) are still being kept.
% 2.83/3.00 ;
% 2.83/3.00 ; Run time in seconds excluding printing time:
% 2.83/3.00 ; 0.001 0% Read assertion file (1 call)
% 2.83/3.00 ; 0.000 0% Assert (2 calls)
% 2.83/3.00 ; 0.787 31% Process new row (22,270 calls)
% 2.83/3.00 ; 0.009 0% Resolution (166 calls)
% 2.83/3.00 ; 0.282 11% Paramodulation (83 calls)
% 2.83/3.00 ; 0.000 0% Condensing (4 calls)
% 2.83/3.00 ; 0.001 0% Forward subsumption (4 calls)
% 2.83/3.00 ; 0.000 0% Backward subsumption (4 calls)
% 2.83/3.00 ; 0.000 0% Clause clause subsumption (2 calls)
% 2.83/3.00 ; 0.665 26% Forward simplification (21,617 calls)
% 2.83/3.00 ; 0.614 24% Backward simplification (5,798 calls)
% 2.83/3.00 ; 0.068 3% Ordering (33,210 calls)
% 2.83/3.00 ; 0.000 0% Sortal reasoning (32 calls)
% 2.83/3.00 ; 0.000 0% Purity testing (1 call)
% 2.83/3.00 ; 0.085 3% Other
% 2.83/3.00 ; 2.512 Total
% 2.83/3.00 ; 2.537 Real time
% 2.83/3.00 ;
% 2.83/3.00 ; Term-hash-array has 11,795 terms in all.
% 2.83/3.00 ; Feature-vector-row-index has 0 entries (2 at peak, 4 added, 4 deleted).
% 2.83/3.00 ; Feature-vector-row-index has 1 node (43 at peak, 77 added, 76 deleted).
% 2.83/3.00 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 2.83/3.00 ; Retrieved 2 possibly backward subsumed rows in 4 calls.
% 2.83/3.00 ; Path-index has 168 entries (9,726 at peak, 12,635 added, 12,467 deleted).
% 2.83/3.00 ; Path-index has 9,714 nodes (12,906 at peak, 16,168 added, 6,454 deleted).
% 2.83/3.00 ; Trie-index has 168 entries (9,726 at peak, 12,635 added, 12,467 deleted).
% 2.83/3.00 ; Trie-index has 536 nodes (69,045 at peak, 94,266 added, 93,730 deleted).
% 2.83/3.00 ; Retrieved 48,092 generalization terms in 232,440 calls.
% 2.83/3.00 ; Retrieved 10,618 instance terms in 5,822 calls.
% 2.83/3.00 ; Retrieved 50,297 unifiable terms in 997 calls.
% 2.83/3.00 ;
% 2.83/3.00 ; The agenda of backward simplifiable rows to process has 2 entries:
% 2.83/3.00 ; 2 with value 0
% 2.83/3.00 ; The agenda of rows to process has 9 entries:
% 2.83/3.00 ; 1 with value 32 1 with value 35 2 with value 37
% 2.83/3.00 ; 5 with value 33
% 2.83/3.00 ; The agenda of rows to give has 29 entries:
% 2.83/3.00 ; 1 with value (4 23) 2 with value (4 28) 1 with value (4 34)
% 2.83/3.00 ; 4 with value (4 24) 3 with value (4 29) 2 with value (4 36)
% 2.83/3.00 ; 5 with value (4 25) 2 with value (4 30) 2 with value (4 37)
% 2.83/3.00 ; 3 with value (4 26) 2 with value (4 31) 1 with value (4 38)
% 2.83/3.00 ; 1 with value (4 27)
% 2.83/3.00 Evaluation took:
% 2.83/3.00 2.537 seconds of real time
% 2.83/3.00 2.339299 seconds of user run time
% 2.83/3.00 0.198079 seconds of system run time
% 2.83/3.00 [Run times include 0.42 seconds GC run time.]
% 2.83/3.00 0 calls to %EVAL
% 2.83/3.00 0 page faults and
% 2.83/3.00 224,434,176 bytes consed.
% 2.83/3.00 :PROOF-FOUND
% 2.83/3.00 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:00:13
% 2.83/3.00 :PROOF-FOUND
% 2.83/3.00 *
%------------------------------------------------------------------------------