TSTP Solution File: GRP426-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 11:38:32 EDT 2022
% Result : Unsatisfiable 2.83s 3.06s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 2
% Syntax : Number of clauses : 143 ( 143 unt; 0 nHn; 2 RR)
% Number of literals : 143 ( 142 equ; 1 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 504 ( 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
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(151,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(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(158,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(159,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(160,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[151,159,theory(equality)]) ).
cnf(163,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[160,160,theory(equality)]) ).
cnf(164,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[160,160,theory(equality)]) ).
cnf(166,plain,
inverse(multiply(inverse(X),X)) = multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[160,160,theory(equality)]) ).
cnf(171,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[136,160,theory(equality)]) ).
cnf(173,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y)))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[160,136,theory(equality)]) ).
cnf(175,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[111,160,theory(equality)]) ).
cnf(192,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)],[112,160,theory(equality)]) ).
cnf(201,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[160,163,theory(equality)]) ).
cnf(203,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[160,163,theory(equality)]) ).
cnf(213,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[160,164,theory(equality)]) ).
cnf(215,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[163,164,theory(equality)]) ).
cnf(216,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[164,164,theory(equality)]) ).
cnf(220,plain,
inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[160,164,theory(equality)]) ).
cnf(224,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[136,164,theory(equality)]) ).
cnf(297,plain,
inverse(multiply(inverse(X),X)) = multiply(multiply(inverse(Y),Y),inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[166,164,theory(equality)]) ).
cnf(796,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)],[127,216,theory(equality)]) ).
cnf(799,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)]),192,theory(equality)]) ).
cnf(801,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)],[91,799,theory(equality)]) ).
cnf(817,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[799,160,theory(equality)]) ).
cnf(818,plain,
multiply(X,inverse(Y)) = multiply(X,inverse(multiply(multiply(inverse(Z),Z),Y))),
inference('PARAMODULATE',[status(thm)],[799,160,theory(equality)]) ).
cnf(820,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = multiply(X,inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[799,136,theory(equality)]) ).
cnf(821,plain,
multiply(X,inverse(Y)) = multiply(X,inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),Y))),
inference('PARAMODULATE',[status(thm)],[799,160,theory(equality)]) ).
cnf(822,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)],[801,821,theory(equality)]) ).
cnf(828,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)],[101,821,theory(equality)]) ).
cnf(832,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)],[80,821,theory(equality)]) ).
cnf(833,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)],[43,821,theory(equality)]) ).
cnf(871,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)],[799,54,theory(equality)]) ).
cnf(879,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)],[832,871,theory(equality)]) ).
cnf(891,plain,
multiply(inverse(multiply(X,inverse(inverse(Y)))),multiply(X,inverse(multiply(inverse(Z),inverse(Y))))) = Z,
inference('REWRITE',[status(thm)],[59,821,871,theory(equality)]) ).
cnf(899,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)],[799,799,theory(equality)]),799,theory(equality)]) ).
cnf(900,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)],[822,899,theory(equality)]) ).
cnf(940,plain,
multiply(inverse(multiply(X,inverse(inverse(Y)))),multiply(X,multiply(inverse(Z),Z))) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[891,160,theory(equality)]) ).
cnf(941,plain,
multiply(inverse(multiply(X,inverse(inverse(Y)))),multiply(X,inverse(multiply(inverse(Z),Z)))) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[891,137,theory(equality)]) ).
cnf(942,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),X)))))) = inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),
inference('REWRITE',[status(thm)],[796,941,theory(equality)]) ).
cnf(943,plain,
multiply(multiply(inverse(X),X),multiply(inverse(inverse(inverse(Y))),inverse(multiply(inverse(Z),inverse(Y))))) = Z,
inference('PARAMODULATE',[status(thm)],[891,160,theory(equality)]) ).
cnf(944,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(inverse(Y)))),multiply(inverse(Z),Z)) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[891,136,theory(equality)]) ).
cnf(966,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)],[891,213,theory(equality)]) ).
cnf(978,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)],[891,216,theory(equality)]) ).
cnf(983,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[817,160,theory(equality)]) ).
cnf(984,plain,
multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y))))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[817,164,theory(equality)]) ).
cnf(985,plain,
multiply(X,multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))) = multiply(X,multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[817,166,theory(equality)]) ).
cnf(993,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)],[891,817,theory(equality)]) ).
cnf(1016,plain,
multiply(inverse(inverse(multiply(multiply(inverse(X),X),Y))),inverse(Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[137,818,theory(equality)]) ).
cnf(1028,plain,
multiply(X,inverse(Y)) = multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(U),U)),Y))),
inference('PARAMODULATE',[status(thm)],[818,163,theory(equality)]) ).
cnf(1241,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)],[891,201,theory(equality)]),799,theory(equality)]) ).
cnf(1724,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)],[54,820,theory(equality)]) ).
cnf(1756,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)],[940,136,theory(equality)]) ).
cnf(2068,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)],[112,173,theory(equality)]) ).
cnf(2209,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)],[112,203,theory(equality)]) ).
cnf(2333,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)],[112,220,theory(equality)]) ).
cnf(3377,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)],[112,175,theory(equality)]) ).
cnf(4701,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)],[112,297,theory(equality)]) ).
cnf(5143,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)],[943,164,theory(equality)]) ).
cnf(5153,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)],[943,216,theory(equality)]) ).
cnf(5165,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)],[943,983,theory(equality)]) ).
cnf(5179,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)],[943,821,theory(equality)]) ).
cnf(5183,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)],[943,201,theory(equality)]) ).
cnf(5204,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)],[943,224,theory(equality)]) ).
cnf(5213,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)],[943,215,theory(equality)]),942,theory(equality)]) ).
cnf(5218,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)],[943,171,theory(equality)]) ).
cnf(5247,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)],[944,173,theory(equality)]) ).
cnf(5459,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)],[984,201,theory(equality)]) ).
cnf(5561,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)],[985,821,theory(equality)]) ).
cnf(5594,plain,
inverse(X) = inverse(multiply(multiply(inverse(Y),Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[891,1016,theory(equality)]),941,theory(equality)]) ).
cnf(5596,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)],[4701,5594,theory(equality)]) ).
cnf(5597,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[2333,5594,theory(equality)]) ).
cnf(5598,plain,
multiply(inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))) = X,
inference('REWRITE',[status(thm)],[5596,5597,theory(equality)]) ).
cnf(5599,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
inference('REWRITE',[status(thm)],[3377,5598,theory(equality)]) ).
cnf(5600,plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference('REWRITE',[status(thm)],[5143,5599,theory(equality)]) ).
cnf(5601,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)],[5218,5600,theory(equality)]) ).
cnf(5604,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)],[5213,5600,theory(equality)]) ).
cnf(5605,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)],[5204,5600,theory(equality)]) ).
cnf(5611,plain,
multiply(inverse(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),Y)))),inverse(multiply(inverse(Z),inverse(Y)))) = Z,
inference('REWRITE',[status(thm)],[5179,5600,theory(equality)]) ).
cnf(5616,plain,
multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
inference('REWRITE',[status(thm)],[5165,5600,theory(equality)]) ).
cnf(5620,plain,
inverse(multiply(inverse(X),inverse(inverse(multiply(inverse(Y),Y))))) = X,
inference('REWRITE',[status(thm)],[5153,5600,theory(equality)]) ).
cnf(5626,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)],[879,5620,theory(equality)]) ).
cnf(5629,plain,
multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,Z)) = Z,
inference('REWRITE',[status(thm)],[966,5620,theory(equality)]) ).
cnf(5630,plain,
inverse(multiply(inverse(X),inverse(inverse(inverse(multiply(inverse(Y),Y)))))) = X,
inference('REWRITE',[status(thm)],[978,5629,theory(equality)]) ).
cnf(5631,plain,
multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),Y) = Y,
inference('REWRITE',[status(thm)],[5604,5630,theory(equality)]) ).
cnf(5632,plain,
inverse(multiply(inverse(X),multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[5616,5631,theory(equality)]) ).
cnf(5633,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)],[900,5632,theory(equality)]) ).
cnf(5638,plain,
multiply(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))),multiply(X,Z)) = Z,
inference('REWRITE',[status(thm)],[993,5632,theory(equality)]) ).
cnf(5639,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[1724,5638,theory(equality)]) ).
cnf(5640,plain,
inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z)))) = X,
inference('REWRITE',[status(thm)],[1241,5639,theory(equality)]) ).
cnf(5641,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))) = Y,
inference('REWRITE',[status(thm)],[2209,5640,theory(equality)]) ).
cnf(5642,plain,
inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))))) = X,
inference('REWRITE',[status(thm)],[2068,5641,theory(equality)]) ).
cnf(5643,plain,
multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))))),Z) = Z,
inference('REWRITE',[status(thm)],[5601,5642,theory(equality)]) ).
cnf(5644,plain,
multiply(inverse(inverse(inverse(X))),multiply(inverse(Y),Y)) = inverse(X),
inference('REWRITE',[status(thm)],[5247,5643,theory(equality)]) ).
cnf(5647,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y)))),inverse(Z)) = inverse(Z),
inference('REWRITE',[status(thm)],[1756,5644,theory(equality)]) ).
cnf(5648,plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))) = X,
inference('REWRITE',[status(thm)],[5605,5647,theory(equality)]) ).
cnf(5649,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[5598,5648,theory(equality)]) ).
cnf(5653,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)],[5626,5649,theory(equality)]) ).
cnf(5658,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)],[828,5653,theory(equality)]) ).
cnf(5659,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)],[5633,5653,theory(equality)]) ).
cnf(5664,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[5597,5649,theory(equality)]) ).
cnf(5668,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)],[5658,5664,theory(equality)]) ).
cnf(5669,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)],[5659,5664,theory(equality)]) ).
cnf(5718,plain,
multiply(X,multiply(multiply(Y,inverse(Y)),multiply(inverse(Z),Z))) = multiply(X,multiply(inverse(U),U)),
inference('REWRITE',[status(thm)],[5561,5600,5664,theory(equality)]) ).
cnf(5729,plain,
X = multiply(X,multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[5459,5649,1028,5664,theory(equality)]) ).
cnf(5731,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)],[5668,5729,theory(equality)]) ).
cnf(5733,plain,
inverse(X) = multiply(inverse(multiply(Y,X)),Y),
inference('REWRITE',[status(thm)],[5669,5664,5731,5729,theory(equality)]) ).
cnf(5745,plain,
multiply(X,multiply(Y,inverse(Y))) = X,
inference('REWRITE',[status(thm)],[5718,5729,theory(equality)]) ).
cnf(5748,plain,
multiply(inverse(X),inverse(multiply(inverse(Y),inverse(X)))) = Y,
inference('REWRITE',[status(thm)],[5611,5600,5664,theory(equality)]) ).
cnf(5751,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[5183,5748,5729,5664,theory(equality)]) ).
cnf(5752,plain,
multiply(X,inverse(Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(Y))),
inference('REWRITE',[status(thm)],[157,5751,5664,theory(equality)]) ).
cnf(5757,plain,
inverse(multiply(X,inverse(Y))) = multiply(Y,inverse(X)),
inference('REWRITE',[status(thm)],[158,5752,5729,5664,theory(equality)]) ).
cnf(5763,plain,
inverse(multiply(X,inverse(multiply(Y,Z)))) = multiply(Y,inverse(multiply(X,inverse(Z)))),
inference('REWRITE',[status(thm)],[833,5664,5733,5745,5757,5752,5648,theory(equality)]) ).
cnf(5764,plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[114,5752,5648,theory(equality)]) ).
cnf(5771,plain,
multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
inference('PARAMODULATE',[status(thm)],[5764,5733,theory(equality)]) ).
cnf(5793,plain,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5763,5771,theory(equality)]),5664,5771,theory(equality)]) ).
cnf(5794,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_3,5793,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 07:08:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T07:08:25
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-14T07:08:25
% 2.83/3.06
% 2.83/3.06
% 2.83/3.06 #||
% 2.83/3.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.83/3.06 % SZS output start Refutation
% See solution above
% 2.91/3.08 ||#
% 2.91/3.08
% 2.91/3.08 ; Summary of computation:
% 2.91/3.08 ; 22884 formulas have been input or derived (from 83 formulas).
% 2.91/3.08 ; 5794 (25%) were retained. Of these,
% 2.91/3.08 ; 5759 (99%) were simplified or subsumed later,
% 2.91/3.08 ; 35 ( 1%) are still being kept.
% 2.91/3.08 ;
% 2.91/3.08 ; Run time in seconds excluding printing time:
% 2.91/3.08 ; 0.002 0% Read assertion file (1 call)
% 2.91/3.08 ; 0.000 0% Assert (2 calls)
% 2.91/3.08 ; 0.741 29% Process new row (22,261 calls)
% 2.91/3.08 ; 0.018 1% Resolution (164 calls)
% 2.91/3.09 ; 0.375 15% Paramodulation (82 calls)
% 2.91/3.09 ; 0.633 25% Forward simplification (21,612 calls)
% 2.91/3.09 ; 0.634 25% Backward simplification (5,794 calls)
% 2.91/3.09 ; 0.064 3% Ordering (33,209 calls)
% 2.91/3.09 ; 0.000 0% Sortal reasoning (32 calls)
% 2.91/3.09 ; 0.000 0% Purity testing (1 call)
% 2.91/3.09 ; 0.087 3% Other
% 2.91/3.09 ; 2.554 Total
% 2.91/3.09 ; 2.579 Real time
% 2.91/3.09 ;
% 2.91/3.09 ; Term-hash-array has 11,782 terms in all.
% 2.91/3.09 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.91/3.09 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.91/3.09 ; Path-index has 167 entries (9,721 at peak, 12,595 added, 12,428 deleted).
% 2.91/3.09 ; Path-index has 9,713 nodes (12,902 at peak, 16,097 added, 6,384 deleted).
% 2.91/3.09 ; Trie-index has 167 entries (9,721 at peak, 12,595 added, 12,428 deleted).
% 2.91/3.09 ; Trie-index has 535 nodes (69,038 at peak, 94,175 added, 93,640 deleted).
% 2.91/3.09 ; Retrieved 48,090 generalization terms in 232,398 calls.
% 2.91/3.09 ; Retrieved 10,615 instance terms in 5,822 calls.
% 2.91/3.09 ; Retrieved 50,195 unifiable terms in 971 calls.
% 2.91/3.09 ;
% 2.91/3.09 ; The agenda of backward simplifiable rows to process has 2 entries:
% 2.91/3.09 ; 2 with value 0
% 2.91/3.09 ; The agenda of rows to process has 9 entries:
% 2.91/3.09 ; 1 with value 32 1 with value 35 2 with value 37
% 2.91/3.09 ; 5 with value 33
% 2.91/3.09 ; The agenda of rows to give has 29 entries:
% 2.91/3.09 ; 1 with value (4 23) 2 with value (4 28) 1 with value (4 34)
% 2.91/3.09 ; 4 with value (4 24) 3 with value (4 29) 2 with value (4 36)
% 2.91/3.09 ; 5 with value (4 25) 2 with value (4 30) 2 with value (4 37)
% 2.91/3.09 ; 3 with value (4 26) 2 with value (4 31) 1 with value (4 38)
% 2.91/3.09 ; 1 with value (4 27)
% 2.91/3.09 Evaluation took:
% 2.91/3.09 2.58 seconds of real time
% 2.91/3.09 2.384297 seconds of user run time
% 2.91/3.09 0.195536 seconds of system run time
% 2.91/3.09 [Run times include 0.423 seconds GC run time.]
% 2.91/3.09 0 calls to %EVAL
% 2.91/3.09 0 page faults and
% 2.91/3.09 223,765,368 bytes consed.
% 2.91/3.09 :PROOF-FOUND
% 2.91/3.09 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T07:08:28
% 2.91/3.09 :PROOF-FOUND
% 2.91/3.09 *
%------------------------------------------------------------------------------