TSTP Solution File: GRP431-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP431-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 11:38:34 EDT 2022
% Result : Unsatisfiable 1.80s 1.99s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 2
% Syntax : Number of clauses : 150 ( 150 unt; 0 nHn; 2 RR)
% Number of literals : 150 ( 149 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 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 : 537 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,inverse(multiply(Y,multiply(multiply(multiply(Z,inverse(Z)),inverse(multiply(U,Y))),X)))) = U,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(3,plain,
multiply(X,inverse(multiply(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,U))),multiply(V,inverse(V))),multiply(Z,X)))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
multiply(X,inverse(multiply(multiply(Y,multiply(Z,inverse(Z))),multiply(U,X)))) = multiply(multiply(multiply(V,inverse(V)),inverse(multiply(Y,U))),multiply(W,inverse(W))),
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(14,plain,
multiply(multiply(multiply(X,inverse(X)),inverse(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,U))),Z))),multiply(V,inverse(V))) = U,
inference('PARAMODULATE',[status(thm)],[3,6,theory(equality)]) ).
cnf(15,plain,
multiply(X,inverse(multiply(multiply(Y,inverse(multiply(multiply(Z,multiply(U,inverse(U))),multiply(V,Y)))),multiply(Z,X)))) = V,
inference('PARAMODULATE',[status(thm)],[3,6,theory(equality)]) ).
cnf(39,plain,
multiply(multiply(multiply(X,inverse(X)),inverse(inverse(Y))),multiply(Z,inverse(Z))) = Y,
inference('PARAMODULATE',[status(thm)],[14,14,theory(equality)]) ).
cnf(40,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(Y,Z))) = multiply(multiply(U,inverse(U)),inverse(multiply(Y,Z))),
inference('PARAMODULATE',[status(thm)],[single_axiom,14,theory(equality)]) ).
cnf(45,plain,
multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,multiply(multiply(multiply(Z,inverse(Z)),inverse(multiply(U,Y))),multiply(V,inverse(V)))))),multiply(W,inverse(W))) = multiply(U,multiply(X1,inverse(X1))),
inference('PARAMODULATE',[status(thm)],[14,3,theory(equality)]) ).
cnf(63,plain,
multiply(multiply(X,inverse(X)),inverse(Y)) = multiply(multiply(Z,inverse(Z)),inverse(Y)),
inference('PARAMODULATE',[status(thm)],[40,single_axiom,theory(equality)]) ).
cnf(65,plain,
multiply(multiply(X,inverse(X)),inverse(Y)) = multiply(multiply(multiply(Z,inverse(Z)),inverse(multiply(U,inverse(U)))),inverse(Y)),
inference('PARAMODULATE',[status(thm)],[63,63,theory(equality)]) ).
cnf(66,plain,
multiply(multiply(multiply(X,inverse(X)),inverse(inverse(Y))),multiply(multiply(Z,inverse(Z)),inverse(multiply(U,inverse(U))))) = Y,
inference('PARAMODULATE',[status(thm)],[39,63,theory(equality)]) ).
cnf(67,plain,
multiply(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y)))),inverse(inverse(Z))),multiply(U,inverse(U))) = Z,
inference('PARAMODULATE',[status(thm)],[39,63,theory(equality)]) ).
cnf(69,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(Y,multiply(multiply(multiply(Z,inverse(Z)),inverse(multiply(U,Y))),multiply(V,inverse(V)))))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,63,theory(equality)]) ).
cnf(70,plain,
multiply(X,multiply(Y,inverse(Y))) = multiply(X,multiply(Z,inverse(Z))),
inference('REWRITE',[status(thm)],[45,69,theory(equality)]) ).
cnf(72,plain,
multiply(X,inverse(X)) = multiply(Y,inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,63,theory(equality)]),single_axiom,theory(equality)]) ).
cnf(87,plain,
multiply(X,inverse(X)) = multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(Z)))),
inference('PARAMODULATE',[status(thm)],[63,72,theory(equality)]) ).
cnf(88,plain,
multiply(X,inverse(multiply(inverse(Y),multiply(multiply(Z,inverse(Z)),X)))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,72,theory(equality)]) ).
cnf(89,plain,
multiply(X,inverse(multiply(multiply(multiply(Y,inverse(Y)),multiply(Z,inverse(Z))),multiply(U,X)))) = inverse(U),
inference('PARAMODULATE',[status(thm)],[3,72,theory(equality)]) ).
cnf(90,plain,
multiply(inverse(multiply(multiply(X,inverse(X)),inverse(multiply(Y,Z)))),inverse(multiply(Z,multiply(U,inverse(U))))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,72,theory(equality)]) ).
cnf(91,plain,
multiply(multiply(multiply(X,inverse(X)),inverse(multiply(multiply(Y,inverse(Y)),Z))),multiply(U,inverse(U))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[14,72,theory(equality)]) ).
cnf(95,plain,
multiply(X,inverse(multiply(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(Z)))),multiply(U,inverse(U))),multiply(V,X)))) = inverse(V),
inference('PARAMODULATE',[status(thm)],[3,72,theory(equality)]) ).
cnf(99,plain,
multiply(X,multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(Z))))) = multiply(X,multiply(U,inverse(U))),
inference('PARAMODULATE',[status(thm)],[70,63,theory(equality)]) ).
cnf(102,plain,
multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(Y),multiply(Z,inverse(Z))))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,87,theory(equality)]) ).
cnf(110,plain,
inverse(multiply(X,inverse(X))) = inverse(multiply(Y,inverse(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,87,theory(equality)]),95,theory(equality)]) ).
cnf(111,plain,
multiply(X,inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),multiply(Z,X)))) = inverse(Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,87,theory(equality)]),91,theory(equality)]) ).
cnf(161,plain,
multiply(X,inverse(multiply(inverse(inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(Z)))))),multiply(U,X)))) = inverse(U),
inference('PARAMODULATE',[status(thm)],[111,110,theory(equality)]) ).
cnf(263,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(multiply(multiply(Y,inverse(Y)),multiply(Z,inverse(Z))),U))) = inverse(multiply(multiply(V,inverse(V)),inverse(inverse(U)))),
inference('PARAMODULATE',[status(thm)],[89,39,theory(equality)]) ).
cnf(268,plain,
inverse(X) = multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(Z)))),inverse(multiply(multiply(multiply(U,inverse(U)),multiply(V,inverse(V))),multiply(X,multiply(W,inverse(W)))))),
inference('PARAMODULATE',[status(thm)],[65,89,theory(equality)]) ).
cnf(274,plain,
multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y)))),inverse(multiply(multiply(multiply(Z,inverse(Z)),multiply(U,inverse(U))),V))) = inverse(multiply(multiply(W,inverse(W)),inverse(inverse(V)))),
inference('PARAMODULATE',[status(thm)],[89,66,theory(equality)]) ).
cnf(300,plain,
multiply(inverse(multiply(multiply(X,inverse(X)),inverse(Y))),inverse(multiply(inverse(multiply(Z,multiply(U,inverse(U)))),multiply(V,inverse(V))))) = inverse(multiply(multiply(W,inverse(W)),inverse(multiply(Y,Z)))),
inference('PARAMODULATE',[status(thm)],[90,90,theory(equality)]) ).
cnf(321,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),Z))) = inverse(multiply(multiply(multiply(U,inverse(U)),inverse(multiply(V,inverse(V)))),inverse(inverse(Z)))),
inference('PARAMODULATE',[status(thm)],[111,67,theory(equality)]) ).
cnf(323,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(multiply(multiply(Y,inverse(Y)),multiply(Z,inverse(Z))),U))) = inverse(multiply(multiply(multiply(V,inverse(V)),inverse(multiply(W,inverse(W)))),inverse(inverse(U)))),
inference('PARAMODULATE',[status(thm)],[89,67,theory(equality)]) ).
cnf(335,plain,
multiply(multiply(X,inverse(X)),multiply(Y,inverse(Y))) = inverse(inverse(multiply(Z,inverse(Z)))),
inference('PARAMODULATE',[status(thm)],[91,87,theory(equality)]) ).
cnf(336,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(inverse(Y),inverse(inverse(multiply(Z,inverse(Z))))))) = Y,
inference('PARAMODULATE',[status(thm)],[88,91,theory(equality)]) ).
cnf(344,plain,
X = inverse(inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),multiply(X,multiply(Z,inverse(Z)))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[91,111,theory(equality)]),39,theory(equality)]) ).
cnf(404,plain,
multiply(multiply(X,inverse(X)),multiply(Y,inverse(Y))) = multiply(multiply(Z,inverse(Z)),multiply(U,inverse(U))),
inference('PARAMODULATE',[status(thm)],[335,335,theory(equality)]) ).
cnf(438,plain,
multiply(X,inverse(multiply(inverse(inverse(multiply(inverse(multiply(Y,inverse(Y))),multiply(multiply(Z,inverse(Z)),multiply(U,inverse(U)))))),multiply(V,X)))) = inverse(V),
inference('PARAMODULATE',[status(thm)],[111,335,theory(equality)]) ).
cnf(535,plain,
multiply(X,multiply(Y,inverse(Y))) = multiply(X,multiply(inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),multiply(U,multiply(V,inverse(V))))),U)),
inference('PARAMODULATE',[status(thm)],[70,344,theory(equality)]) ).
cnf(551,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(Y,multiply(Z,inverse(Z))))),Y),inverse(inverse(U))),multiply(V,inverse(V))) = U,
inference('PARAMODULATE',[status(thm)],[39,344,theory(equality)]) ).
cnf(590,plain,
multiply(inverse(multiply(multiply(X,inverse(X)),inverse(multiply(Y,Z)))),inverse(multiply(Z,multiply(inverse(multiply(inverse(inverse(multiply(U,inverse(U)))),multiply(V,multiply(W,inverse(W))))),V)))) = Y,
inference('PARAMODULATE',[status(thm)],[90,344,theory(equality)]) ).
cnf(642,plain,
multiply(X,inverse(multiply(Y,multiply(Z,X)))) = multiply(multiply(U,inverse(U)),inverse(multiply(Y,multiply(Z,multiply(V,inverse(V)))))),
inference('PARAMODULATE',[status(thm)],[15,single_axiom,theory(equality)]) ).
cnf(651,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(multiply(Y,inverse(multiply(Z,multiply(U,Y)))),Z))) = U,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,39,theory(equality)]),39,theory(equality)]) ).
cnf(716,plain,
multiply(X,inverse(multiply(Y,multiply(Z,X)))) = multiply(U,inverse(multiply(Y,multiply(Z,U)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,651,theory(equality)]) ).
cnf(717,plain,
multiply(multiply(X,inverse(X)),inverse(inverse(multiply(Y,multiply(Z,inverse(Z)))))) = Y,
inference('PARAMODULATE',[status(thm)],[651,14,theory(equality)]) ).
cnf(718,plain,
multiply(inverse(X),inverse(multiply(Y,multiply(Z,inverse(Z))))) = multiply(U,inverse(multiply(Y,multiply(X,U)))),
inference('PARAMODULATE',[status(thm)],[90,651,theory(equality)]) ).
cnf(719,plain,
multiply(inverse(multiply(multiply(X,inverse(multiply(Y,multiply(Z,X)))),Y)),inverse(multiply(inverse(U),Z))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,651,theory(equality)]) ).
cnf(772,plain,
multiply(inverse(X),inverse(Y)) = multiply(Z,inverse(multiply(multiply(multiply(U,inverse(U)),inverse(inverse(Y))),multiply(X,Z)))),
inference('PARAMODULATE',[status(thm)],[716,39,theory(equality)]) ).
cnf(783,plain,
multiply(inverse(X),inverse(multiply(multiply(Y,inverse(Y)),multiply(Z,inverse(Z))))) = multiply(U,inverse(multiply(multiply(V,inverse(V)),multiply(X,U)))),
inference('PARAMODULATE',[status(thm)],[716,404,theory(equality)]) ).
cnf(784,plain,
multiply(inverse(multiply(X,inverse(X))),inverse(Y)) = multiply(inverse(multiply(Z,inverse(Z))),inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[716,66,theory(equality)]),772,theory(equality)]) ).
cnf(823,plain,
multiply(X,inverse(multiply(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(multiply(U,multiply(V,Z)))))),multiply(W,inverse(W))),multiply(X1,X)))) = inverse(multiply(U,multiply(V,X1))),
inference('PARAMODULATE',[status(thm)],[3,716,theory(equality)]) ).
cnf(831,plain,
multiply(inverse(inverse(multiply(X,multiply(Y,inverse(Y))))),inverse(multiply(inverse(Z),X))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,717,theory(equality)]) ).
cnf(857,plain,
multiply(inverse(multiply(X,inverse(X))),Y) = multiply(inverse(multiply(Z,inverse(Z))),Y),
inference('PARAMODULATE',[status(thm)],[784,344,theory(equality)]) ).
cnf(858,plain,
multiply(inverse(inverse(multiply(inverse(inverse(X)),multiply(Y,inverse(Y))))),inverse(multiply(Z,inverse(Z)))) = X,
inference('PARAMODULATE',[status(thm)],[831,72,theory(equality)]) ).
cnf(902,plain,
multiply(inverse(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y))))),Z) = multiply(inverse(multiply(U,inverse(U))),Z),
inference('PARAMODULATE',[status(thm)],[857,110,theory(equality)]) ).
cnf(906,plain,
multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),multiply(Z,inverse(multiply(U,inverse(U))))))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[111,857,theory(equality)]) ).
cnf(922,plain,
multiply(X,inverse(multiply(multiply(Y,inverse(multiply(multiply(inverse(multiply(Z,inverse(Z))),multiply(U,inverse(U))),multiply(V,Y)))),multiply(inverse(multiply(W,inverse(W))),X)))) = V,
inference('PARAMODULATE',[status(thm)],[15,857,theory(equality)]) ).
cnf(936,plain,
multiply(inverse(multiply(multiply(X,inverse(X)),inverse(inverse(Y)))),inverse(multiply(Z,multiply(U,inverse(U))))) = multiply(multiply(V,inverse(V)),inverse(multiply(Z,Y))),
inference('PARAMODULATE',[status(thm)],[718,39,theory(equality)]) ).
cnf(992,plain,
multiply(inverse(X),inverse(multiply(Y,multiply(inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),multiply(U,multiply(V,inverse(V))))),U)))) = multiply(W,inverse(multiply(Y,multiply(X,W)))),
inference('PARAMODULATE',[status(thm)],[718,344,theory(equality)]) ).
cnf(1002,plain,
inverse(multiply(X,multiply(Y,inverse(Y)))) = inverse(multiply(X,multiply(Z,inverse(Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,718,theory(equality)]),823,theory(equality)]) ).
cnf(1146,plain,
multiply(inverse(multiply(multiply(X,inverse(multiply(Y,multiply(Z,X)))),Y)),inverse(multiply(U,Z))) = inverse(multiply(inverse(inverse(multiply(V,inverse(V)))),multiply(U,multiply(W,inverse(W))))),
inference('PARAMODULATE',[status(thm)],[719,344,theory(equality)]) ).
cnf(1181,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(Y,inverse(Y))))),inverse(Z)) = inverse(multiply(inverse(inverse(Z)),multiply(U,inverse(U)))),
inference('PARAMODULATE',[status(thm)],[831,858,theory(equality)]) ).
cnf(1183,plain,
multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),Z))) = inverse(inverse(inverse(multiply(inverse(inverse(Z)),multiply(U,inverse(U)))))),
inference('PARAMODULATE',[status(thm)],[111,858,theory(equality)]) ).
cnf(1282,plain,
inverse(multiply(X,multiply(Y,multiply(Z,inverse(Z))))) = inverse(multiply(X,multiply(Y,multiply(U,inverse(U))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,642,theory(equality)]),823,theory(equality)]) ).
cnf(1286,plain,
multiply(X,inverse(multiply(inverse(inverse(multiply(Y,multiply(Z,multiply(U,inverse(U)))))),multiply(V,X)))) = inverse(multiply(Y,multiply(Z,V))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,642,theory(equality)]),91,theory(equality)]) ).
cnf(1287,plain,
inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(Y,inverse(Y)),Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[438,1286,theory(equality)]) ).
cnf(1307,plain,
multiply(multiply(multiply(multiply(X,multiply(Y,multiply(Z,inverse(Z)))),inverse(multiply(X,multiply(Y,multiply(U,inverse(U)))))),inverse(inverse(V))),multiply(W,inverse(W))) = V,
inference('PARAMODULATE',[status(thm)],[39,1282,theory(equality)]) ).
cnf(1326,plain,
multiply(multiply(multiply(X,multiply(Y,multiply(Z,inverse(Z)))),inverse(multiply(X,multiply(Y,multiply(U,inverse(U)))))),inverse(multiply(inverse(V),inverse(inverse(multiply(W,inverse(W))))))) = V,
inference('PARAMODULATE',[status(thm)],[336,1282,theory(equality)]) ).
cnf(1419,plain,
multiply(inverse(X),inverse(inverse(multiply(Y,inverse(Y))))) = multiply(Z,inverse(multiply(inverse(multiply(U,inverse(U))),multiply(X,Z)))),
inference('PARAMODULATE',[status(thm)],[718,1287,theory(equality)]) ).
cnf(1426,plain,
X = multiply(inverse(multiply(Y,inverse(Y))),multiply(multiply(Z,inverse(Z)),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,1287,theory(equality)]),39,theory(equality)]) ).
cnf(1428,plain,
inverse(inverse(multiply(X,multiply(Y,inverse(Y))))) = multiply(inverse(multiply(Z,inverse(Z))),X),
inference('PARAMODULATE',[status(thm)],[1426,717,theory(equality)]) ).
cnf(1431,plain,
inverse(multiply(multiply(X,inverse(multiply(Y,multiply(Z,X)))),Y)) = multiply(inverse(multiply(U,inverse(U))),Z),
inference('PARAMODULATE',[status(thm)],[1426,651,theory(equality)]) ).
cnf(1436,plain,
inverse(multiply(X,inverse(multiply(Y,inverse(Y))))) = inverse(multiply(X,multiply(inverse(multiply(Z,inverse(Z))),multiply(U,inverse(U))))),
inference('PARAMODULATE',[status(thm)],[1282,1426,theory(equality)]) ).
cnf(1464,plain,
X = multiply(inverse(multiply(Y,inverse(Y))),multiply(multiply(inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),multiply(U,multiply(V,inverse(V))))),U),X)),
inference('PARAMODULATE',[status(thm)],[1426,344,theory(equality)]) ).
cnf(1607,plain,
multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(Y))),inverse(multiply(Z,inverse(Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[858,1428,theory(equality)]) ).
cnf(1621,plain,
inverse(inverse(inverse(X))) = inverse(multiply(multiply(Y,inverse(Y)),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1428,91,theory(equality)]),1426,theory(equality)]) ).
cnf(1644,plain,
multiply(inverse(X),inverse(inverse(inverse(multiply(Y,inverse(Y)))))) = multiply(Z,inverse(inverse(inverse(multiply(X,Z))))),
inference('REWRITE',[status(thm)],[783,1621,theory(equality)]) ).
cnf(1678,plain,
multiply(inverse(inverse(inverse(inverse(inverse(X))))),inverse(multiply(Y,multiply(Z,inverse(Z))))) = multiply(multiply(U,inverse(U)),inverse(multiply(Y,X))),
inference('REWRITE',[status(thm)],[936,1621,theory(equality)]) ).
cnf(1692,plain,
multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(inverse(multiply(Y,multiply(Z,inverse(Z)))),multiply(U,inverse(U))))) = inverse(inverse(inverse(inverse(multiply(X,Y))))),
inference('REWRITE',[status(thm)],[300,1621,theory(equality)]) ).
cnf(1710,plain,
multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y)))),inverse(multiply(multiply(multiply(Z,inverse(Z)),multiply(U,inverse(U))),V))) = inverse(inverse(inverse(inverse(inverse(V))))),
inference('REWRITE',[status(thm)],[274,1621,theory(equality)]) ).
cnf(1711,plain,
inverse(X) = inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(Y,inverse(Y)))))))),
inference('REWRITE',[status(thm)],[268,1710,theory(equality)]) ).
cnf(1714,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(multiply(multiply(Y,inverse(Y)),multiply(Z,inverse(Z))),U))) = inverse(inverse(inverse(inverse(inverse(U))))),
inference('REWRITE',[status(thm)],[263,1621,theory(equality)]) ).
cnf(1717,plain,
inverse(inverse(inverse(inverse(inverse(X))))) = inverse(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(Z)))),inverse(inverse(X)))),
inference('REWRITE',[status(thm)],[323,1714,theory(equality)]) ).
cnf(1718,plain,
multiply(multiply(X,inverse(X)),inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),Z))) = inverse(inverse(inverse(inverse(inverse(Z))))),
inference('REWRITE',[status(thm)],[321,1717,theory(equality)]) ).
cnf(1735,plain,
multiply(inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))),Y) = multiply(inverse(multiply(Z,inverse(Z))),Y),
inference('REWRITE',[status(thm)],[902,1621,theory(equality)]) ).
cnf(1737,plain,
multiply(X,inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(Y,inverse(Y))))))),multiply(Z,X)))) = inverse(Z),
inference('REWRITE',[status(thm)],[161,1621,theory(equality)]) ).
cnf(1815,plain,
multiply(inverse(inverse(inverse(inverse(multiply(X,Y))))),inverse(multiply(Y,multiply(inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),multiply(U,multiply(V,inverse(V))))),U)))) = X,
inference('REWRITE',[status(thm)],[590,1621,theory(equality)]) ).
cnf(1845,plain,
X = multiply(inverse(multiply(Y,inverse(Y))),multiply(inverse(inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),multiply(U,inverse(U))))),X)),
inference('PARAMODULATE',[status(thm)],[1426,1428,theory(equality)]) ).
cnf(1869,plain,
inverse(multiply(X,multiply(Y,inverse(Y)))) = inverse(multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),multiply(U,inverse(U))))))),
inference('PARAMODULATE',[status(thm)],[1002,1428,theory(equality)]) ).
cnf(1892,plain,
multiply(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(Y,inverse(Y)))))),inverse(multiply(inverse(Z),multiply(U,inverse(U))))) = Z,
inference('PARAMODULATE',[status(thm)],[102,1428,theory(equality)]) ).
cnf(1894,plain,
inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(Y,inverse(multiply(Z,inverse(Z)))))),multiply(U,inverse(U))))) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[111,1428,theory(equality)]) ).
cnf(1910,plain,
inverse(multiply(X,inverse(inverse(inverse(inverse(multiply(Y,inverse(Y)))))))) = inverse(multiply(X,multiply(inverse(multiply(Z,inverse(Z))),multiply(U,inverse(U))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1282,1428,theory(equality)]),1621,theory(equality)]) ).
cnf(1913,plain,
inverse(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z)))))),multiply(U,inverse(U))))) = multiply(V,inverse(multiply(X,multiply(Y,V)))),
inference('PARAMODULATE',[status(thm)],[716,1428,theory(equality)]) ).
cnf(1955,plain,
multiply(X,multiply(multiply(Y,inverse(Y)),inverse(inverse(inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),multiply(U,inverse(U)))))))) = multiply(X,multiply(V,inverse(V))),
inference('PARAMODULATE',[status(thm)],[99,1428,theory(equality)]) ).
cnf(1973,plain,
multiply(X,inverse(inverse(inverse(multiply(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(multiply(U,inverse(U)))))),X),multiply(V,inverse(V))))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,1428,theory(equality)]) ).
cnf(1981,plain,
inverse(inverse(multiply(X,inverse(multiply(multiply(Y,multiply(Z,inverse(Z))),multiply(U,X)))))) = inverse(multiply(Y,U)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1428,6,theory(equality)]),1426,theory(equality)]) ).
cnf(1990,plain,
multiply(X,inverse(multiply(Y,multiply(inverse(multiply(Z,inverse(Z))),X)))) = multiply(multiply(U,inverse(U)),inverse(multiply(Y,inverse(inverse(inverse(inverse(multiply(V,inverse(V))))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[642,1428,theory(equality)]),1621,theory(equality)]) ).
cnf(1992,plain,
multiply(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(Y,multiply(Z,inverse(Z)))),multiply(inverse(multiply(U,inverse(U))),Y)))),inverse(inverse(V))),multiply(W,inverse(W))) = V,
inference('PARAMODULATE',[status(thm)],[67,1428,theory(equality)]) ).
cnf(2032,plain,
inverse(inverse(X)) = multiply(multiply(Y,inverse(Y)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[88,1621,theory(equality)]),88,theory(equality)]) ).
cnf(2036,plain,
multiply(X,inverse(multiply(Y,multiply(inverse(multiply(Z,inverse(Z))),X)))) = inverse(inverse(inverse(multiply(Y,inverse(inverse(inverse(inverse(multiply(U,inverse(U)))))))))),
inference('REWRITE',[status(thm)],[1990,2032,theory(equality)]) ).
cnf(2040,plain,
multiply(X,inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(multiply(Y,inverse(multiply(Z,inverse(Z))))))),X),multiply(U,inverse(U))))))) = Y,
inference('REWRITE',[status(thm)],[1973,2032,theory(equality)]) ).
cnf(2041,plain,
multiply(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(Y)))),multiply(inverse(multiply(Z,inverse(Z))),X))))),inverse(inverse(U))),multiply(V,inverse(V))) = U,
inference('REWRITE',[status(thm)],[1992,2032,theory(equality)]) ).
cnf(2043,plain,
multiply(X,inverse(inverse(inverse(multiply(Y,inverse(Y)))))) = multiply(X,multiply(Z,inverse(Z))),
inference('REWRITE',[status(thm)],[1955,1711,2032,theory(equality)]) ).
cnf(2087,plain,
inverse(inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),Y)))) = inverse(inverse(inverse(inverse(inverse(Y))))),
inference('REWRITE',[status(thm)],[1718,2032,theory(equality)]) ).
cnf(2089,plain,
multiply(inverse(inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))),inverse(multiply(inverse(Y),multiply(Z,inverse(Z))))) = Y,
inference('REWRITE',[status(thm)],[1892,2087,theory(equality)]) ).
cnf(2105,plain,
multiply(inverse(inverse(inverse(inverse(inverse(X))))),inverse(multiply(Y,multiply(Z,inverse(Z))))) = inverse(inverse(inverse(multiply(Y,X)))),
inference('REWRITE',[status(thm)],[1678,2032,theory(equality)]) ).
cnf(2106,plain,
inverse(inverse(inverse(multiply(inverse(X),multiply(Y,inverse(Y)))))) = X,
inference('REWRITE',[status(thm)],[2089,2105,theory(equality)]) ).
cnf(2108,plain,
multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[1183,2106,theory(equality)]) ).
cnf(2109,plain,
inverse(multiply(X,inverse(multiply(Y,inverse(Y))))) = inverse(X),
inference('REWRITE',[status(thm)],[906,2108,theory(equality)]) ).
cnf(2110,plain,
multiply(X,inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(Y))),X),multiply(Z,inverse(Z))))))) = Y,
inference('REWRITE',[status(thm)],[2040,2109,theory(equality)]) ).
cnf(2113,plain,
inverse(X) = inverse(multiply(X,multiply(inverse(multiply(Y,inverse(Y))),multiply(Z,inverse(Z))))),
inference('REWRITE',[status(thm)],[1436,2109,theory(equality)]) ).
cnf(2114,plain,
inverse(multiply(X,inverse(inverse(inverse(inverse(multiply(Y,inverse(Y)))))))) = inverse(X),
inference('REWRITE',[status(thm)],[1910,2113,theory(equality)]) ).
cnf(2115,plain,
multiply(X,inverse(multiply(Y,multiply(inverse(multiply(Z,inverse(Z))),X)))) = inverse(inverse(inverse(Y))),
inference('REWRITE',[status(thm)],[2036,2114,theory(equality)]) ).
cnf(2118,plain,
inverse(inverse(multiply(inverse(multiply(X,inverse(X))),Y))) = Y,
inference('REWRITE',[status(thm)],[922,1981,2115,theory(equality)]) ).
cnf(2121,plain,
inverse(inverse(inverse(X))) = inverse(multiply(inverse(inverse(X)),multiply(Y,inverse(Y)))),
inference('REWRITE',[status(thm)],[1181,2032,2118,theory(equality)]) ).
cnf(2134,plain,
X = multiply(inverse(multiply(Y,inverse(Y))),multiply(inverse(inverse(inverse(inverse(multiply(Z,inverse(Z)))))),X)),
inference('REWRITE',[status(thm)],[1845,2121,theory(equality)]) ).
cnf(2136,plain,
inverse(multiply(X,multiply(Y,inverse(Y)))) = inverse(X),
inference('REWRITE',[status(thm)],[1869,2114,2121,theory(equality)]) ).
cnf(2137,plain,
multiply(X,inverse(inverse(inverse(multiply(inverse(inverse(inverse(Y))),X))))) = Y,
inference('REWRITE',[status(thm)],[2110,2136,theory(equality)]) ).
cnf(2141,plain,
inverse(inverse(inverse(multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z)))))))) = multiply(U,inverse(multiply(X,multiply(Y,U)))),
inference('REWRITE',[status(thm)],[1913,2136,theory(equality)]) ).
cnf(2145,plain,
inverse(inverse(inverse(inverse(inverse(X))))) = inverse(X),
inference('REWRITE',[status(thm)],[1894,2109,2087,2136,theory(equality)]) ).
cnf(2147,plain,
multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),multiply(Z,X)))) = inverse(Z),
inference('REWRITE',[status(thm)],[1737,2145,theory(equality)]) ).
cnf(2148,plain,
multiply(inverse(X),inverse(inverse(multiply(Y,inverse(Y))))) = inverse(X),
inference('REWRITE',[status(thm)],[1419,2147,theory(equality)]) ).
cnf(2151,plain,
multiply(multiply(multiply(X,multiply(Y,multiply(Z,inverse(Z)))),inverse(multiply(X,multiply(Y,multiply(U,inverse(U)))))),inverse(inverse(V))) = V,
inference('REWRITE',[status(thm)],[1326,2148,theory(equality)]) ).
cnf(2152,plain,
multiply(X,multiply(Y,inverse(Y))) = X,
inference('REWRITE',[status(thm)],[1307,2151,theory(equality)]) ).
cnf(2160,plain,
multiply(inverse(multiply(multiply(X,inverse(multiply(Y,multiply(Z,X)))),Y)),inverse(multiply(U,Z))) = inverse(multiply(inverse(inverse(multiply(V,inverse(V)))),U)),
inference('REWRITE',[status(thm)],[1146,2152,theory(equality)]) ).
cnf(2167,plain,
multiply(X,inverse(inverse(inverse(multiply(Y,inverse(Y)))))) = X,
inference('REWRITE',[status(thm)],[2043,2152,theory(equality)]) ).
cnf(2168,plain,
inverse(X) = multiply(Y,inverse(inverse(inverse(multiply(X,Y))))),
inference('REWRITE',[status(thm)],[1644,2167,theory(equality)]) ).
cnf(2169,plain,
inverse(inverse(inverse(inverse(X)))) = X,
inference('REWRITE',[status(thm)],[2137,2168,theory(equality)]) ).
cnf(2171,plain,
X = multiply(inverse(multiply(Y,inverse(Y))),inverse(inverse(X))),
inference('REWRITE',[status(thm)],[2134,2032,2169,theory(equality)]) ).
cnf(2172,plain,
multiply(X,inverse(multiply(Y,inverse(Y)))) = X,
inference('REWRITE',[status(thm)],[1607,2171,theory(equality)]) ).
cnf(2173,plain,
inverse(inverse(inverse(multiply(X,Y)))) = multiply(Z,inverse(multiply(X,multiply(Y,Z)))),
inference('REWRITE',[status(thm)],[2141,2172,theory(equality)]) ).
cnf(2193,plain,
inverse(multiply(inverse(inverse(inverse(multiply(X,Y)))),X)) = multiply(inverse(multiply(Z,inverse(Z))),Y),
inference('REWRITE',[status(thm)],[1431,2173,theory(equality)]) ).
cnf(2194,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(X,Y)))),X)),inverse(multiply(Z,Y))) = inverse(multiply(inverse(inverse(multiply(U,inverse(U)))),Z)),
inference('REWRITE',[status(thm)],[2160,2173,theory(equality)]) ).
cnf(2199,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(Y))),X),
inference('REWRITE',[status(thm)],[1735,2032,2169,theory(equality)]) ).
cnf(2200,plain,
inverse(multiply(inverse(inverse(inverse(multiply(X,Y)))),X)) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[2193,2199,theory(equality)]) ).
cnf(2205,plain,
multiply(inverse(inverse(X)),inverse(multiply(Y,X))) = inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),Y)),
inference('REWRITE',[status(thm)],[2194,2200,theory(equality)]) ).
cnf(2214,plain,
X = multiply(X,multiply(inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),Z)),Z)),
inference('REWRITE',[status(thm)],[535,2152,theory(equality)]) ).
cnf(2216,plain,
multiply(inverse(X),inverse(Y)) = inverse(inverse(inverse(multiply(Y,X)))),
inference('REWRITE',[status(thm)],[992,2173,2214,2152,theory(equality)]) ).
cnf(2220,plain,
inverse(inverse(inverse(multiply(multiply(X,Y),inverse(Y))))) = inverse(multiply(inverse(inverse(multiply(Z,inverse(Z)))),X)),
inference('REWRITE',[status(thm)],[2205,2216,theory(equality)]) ).
cnf(2225,plain,
X = inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),Z)),Z),X))),
inference('REWRITE',[status(thm)],[1464,2199,2152,theory(equality)]) ).
cnf(2228,plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[1815,2214,2169,2152,theory(equality)]) ).
cnf(2229,plain,
inverse(inverse(inverse(X))) = inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),X)),
inference('REWRITE',[status(thm)],[2220,2228,theory(equality)]) ).
cnf(2233,plain,
X = inverse(inverse(multiply(multiply(inverse(inverse(inverse(Y))),Y),X))),
inference('REWRITE',[status(thm)],[2225,2229,theory(equality)]) ).
cnf(2246,plain,
multiply(multiply(inverse(inverse(inverse(X))),X),inverse(inverse(Y))) = Y,
inference('REWRITE',[status(thm)],[551,2229,2152,theory(equality)]) ).
cnf(2275,plain,
inverse(inverse(multiply(multiply(inverse(X),X),Y))) = Y,
inference('REWRITE',[status(thm)],[2041,2152,2169,2216,2199,2136,theory(equality)]) ).
cnf(2283,plain,
multiply(X,inverse(inverse(Y))) = multiply(X,Y),
inference('REWRITE',[status(thm)],[1692,2152,2169,2136,theory(equality)]) ).
cnf(2290,plain,
multiply(multiply(inverse(inverse(inverse(X))),X),Y) = Y,
inference('REWRITE',[status(thm)],[2246,2283,theory(equality)]) ).
cnf(2291,plain,
X = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[2233,2290,theory(equality)]) ).
cnf(2294,plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference('REWRITE',[status(thm)],[2275,2291,theory(equality)]) ).
cnf(2295,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,2294,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP431-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 19:39:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T19:39:49
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-13T19:39:49
% 1.80/1.99
% 1.80/1.99
% 1.80/1.99 #||
% 1.80/1.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.80/2.00 % SZS output start Refutation
% See solution above
% 1.87/2.07 ||#
% 1.87/2.07
% 1.87/2.07 ; Summary of computation:
% 1.87/2.07 ; 9125 formulas have been input or derived (from 52 formulas).
% 1.87/2.07 ; 2295 (25%) were retained. Of these,
% 1.87/2.07 ; 2277 (99%) were simplified or subsumed later,
% 1.87/2.07 ; 18 ( 1%) are still being kept.
% 1.87/2.07 ;
% 1.87/2.07 ; Run time in seconds excluding printing time:
% 1.87/2.07 ; 0.001 0% Read assertion file (1 call)
% 1.87/2.07 ; 0.000 0% Assert (2 calls)
% 1.87/2.07 ; 0.393 26% Process new row (7,891 calls)
% 1.87/2.07 ; 0.007 0% Resolution (102 calls)
% 1.87/2.07 ; 0.181 12% Paramodulation (51 calls)
% 1.87/2.07 ; 0.481 31% Forward simplification (7,374 calls)
% 1.87/2.07 ; 0.384 25% Backward simplification (2,295 calls)
% 1.87/2.07 ; 0.035 2% Ordering (13,250 calls)
% 1.87/2.07 ; 0.000 0% Sortal reasoning (32 calls)
% 1.87/2.07 ; 0.000 0% Purity testing (1 call)
% 1.87/2.07 ; 0.047 3% Other
% 1.87/2.07 ; 1.529 Total
% 1.87/2.07 ; 1.614 Real time
% 1.87/2.07 ;
% 1.87/2.07 ; Term-hash-array has 9,207 terms in all.
% 1.87/2.07 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.87/2.07 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.87/2.07 ; Path-index has 45 entries (6,415 at peak, 9,444 added, 9,399 deleted).
% 1.87/2.07 ; Path-index has 13,383 nodes (16,367 at peak, 20,651 added, 7,268 deleted).
% 1.87/2.07 ; Trie-index has 45 entries (6,415 at peak, 9,444 added, 9,399 deleted).
% 1.87/2.07 ; Trie-index has 181 nodes (48,335 at peak, 69,961 added, 69,780 deleted).
% 1.87/2.07 ; Retrieved 11,811 generalization terms in 84,006 calls.
% 1.87/2.07 ; Retrieved 6,546 instance terms in 2,304 calls.
% 1.87/2.07 ; Retrieved 34,035 unifiable terms in 617 calls.
% 1.87/2.07 ;
% 1.87/2.07 ; The agenda of backward simplifiable rows to process has 992 entries:
% 1.87/2.07 ; 992 with value 0
% 1.87/2.07 ; The agenda of rows to process has 127 entries:
% 1.87/2.07 ; 7 with value 41 15 with value 47 3 with value 52
% 1.87/2.07 ; 20 with value 42 13 with value 48 1 with value 53
% 1.87/2.07 ; 14 with value 43 2 with value 49 1 with value 54
% 1.87/2.07 ; 19 with value 44 3 with value 50 3 with value 55
% 1.87/2.07 ; 14 with value 45 2 with value 51 1 with value 57
% 1.87/2.07 ; 9 with value 46
% 1.87/2.07 ; The agenda of rows to give has 15 entries:
% 1.87/2.07 ; 1 with value (4 15) 1 with value (4 20) 3 with value (4 24)
% 1.87/2.07 ; 1 with value (4 18) 1 with value (4 21) 3 with value (4 26)
% 1.87/2.07 ; 2 with value (4 19) 1 with value (4 22) 2 with value (4 27)
% 1.87/2.07 Evaluation took:
% 1.87/2.07 1.615 seconds of real time
% 1.87/2.07 1.471556 seconds of user run time
% 1.87/2.07 0.130812 seconds of system run time
% 1.87/2.07 [Run times include 0.254 seconds GC run time.]
% 1.87/2.07 0 calls to %EVAL
% 1.87/2.07 0 page faults and
% 1.87/2.07 116,307,832 bytes consed.
% 1.87/2.07 :PROOF-FOUND
% 1.87/2.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T19:39:50
% 1.87/2.07 :PROOF-FOUND
% 1.87/2.07 *
%------------------------------------------------------------------------------