%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:38:26 EDT 2022
% Result : Unsatisfiable 3.82s 4.01s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of clauses : 168 ( 168 unt; 0 nHn; 2 RR)
% Number of literals : 168 ( 167 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 19 ( 4 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 : 635 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,inverse(Z)))),inverse(multiply(inverse(X),X)))))) = Z,
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,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,Z))),inverse(multiply(inverse(X),X)))))) = multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(V,U)),multiply(V,inverse(Z)))),inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,inverse(inverse(Z))))),inverse(multiply(inverse(X),X))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(7,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,Z))),inverse(multiply(inverse(X),X))))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(24,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(inverse(Z))))),inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[single_axiom,6,theory(equality)]) ).
cnf(31,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(X),X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(inverse(Z))))),inverse(multiply(inverse(Y),Y)))),
inference('PARAMODULATE',[status(thm)],[7,6,theory(equality)]) ).
cnf(42,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,inverse(Z))))))),inverse(multiply(inverse(Y),Y))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,24,theory(equality)]) ).
cnf(43,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,Z)))))),inverse(multiply(inverse(Y),Y)))) = Z,
inference('PARAMODULATE',[status(thm)],[7,24,theory(equality)]) ).
cnf(44,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(inverse(Y),Y)))))))) = Z,
inference('PARAMODULATE',[status(thm)],[6,24,theory(equality)]) ).
cnf(46,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(X),X)))))) = inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(Y,U)),Z)),inverse(multiply(inverse(U),U)))))),
inference('PARAMODULATE',[status(thm)],[24,24,theory(equality)]) ).
cnf(47,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,Z)))))),inverse(multiply(inverse(Y),Y))) = multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(V,U)),multiply(V,inverse(Z)))),inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[3,24,theory(equality)]) ).
cnf(50,plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,inverse(inverse(V))))),inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(X),X))))) = multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(U,W)),V)),inverse(multiply(inverse(W),W))))),
inference('PARAMODULATE',[status(thm)],[6,24,theory(equality)]) ).
cnf(90,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,Z)))))),inverse(multiply(inverse(Y),Y))) = inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(V,U)),multiply(V,Z))),inverse(multiply(inverse(U),U)))))),
inference('PARAMODULATE',[status(thm)],[42,7,theory(equality)]) ).
cnf(102,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,inverse(inverse(multiply(Z,inverse(U))))))))),multiply(X,inverse(inverse(U))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,inverse(inverse(multiply(Z,inverse(U)))))))),inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,inverse(inverse(multiply(Z,inverse(U)))))))))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[42,42,theory(equality)]) ).
cnf(112,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Z)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))))) = multiply(inverse(multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(V,X)),multiply(V,inverse(inverse(multiply(X,inverse(Y))))))))),multiply(U,inverse(inverse(Z))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(V,X)),multiply(V,inverse(inverse(multiply(X,inverse(Y)))))))),inverse(multiply(inverse(multiply(V,X)),multiply(V,inverse(inverse(multiply(X,inverse(Y)))))))))),
inference('PARAMODULATE',[status(thm)],[24,42,theory(equality)]) ).
cnf(113,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))))) = multiply(inverse(X),X),
inference('REWRITE',[status(thm)],[102,112,theory(equality)]) ).
cnf(116,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(Y),Y)))) = inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z))),inverse(multiply(inverse(Y),Y)))),
inference('PARAMODULATE',[status(thm)],[43,7,theory(equality)]) ).
cnf(150,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(X),X))))))) = inverse(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(Y,U)),Z)),inverse(multiply(inverse(U),U))))))),
inference('PARAMODULATE',[status(thm)],[7,44,theory(equality)]) ).
cnf(151,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y)))))))) = inverse(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),U)),Z)),inverse(multiply(inverse(U),U))))))),
inference('PARAMODULATE',[status(thm)],[44,44,theory(equality)]) ).
cnf(212,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(inverse(Y),Y)))) = inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(inverse(multiply(V,inverse(multiply(inverse(multiply(inverse(multiply(X,V)),Z)),inverse(multiply(inverse(V),V)))))))))),inverse(multiply(inverse(Y),Y)))),
inference('PARAMODULATE',[status(thm)],[116,44,theory(equality)]) ).
cnf(359,plain,
multiply(inverse(X),inverse(inverse(multiply(X,inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(X),X)))))))) = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),
inference('PARAMODULATE',[status(thm)],[44,113,theory(equality)]) ).
cnf(377,plain,
multiply(inverse(multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),inverse(Z))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))))) = Z,
inference('PARAMODULATE',[status(thm)],[42,113,theory(equality)]) ).
cnf(379,plain,
inverse(multiply(inverse(multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),Z)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))))))) = Z,
inference('PARAMODULATE',[status(thm)],[43,113,theory(equality)]) ).
cnf(384,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))),X)),U)),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(multiply(inverse(Z),Z),multiply(inverse(multiply(inverse(Z),Z)),inverse(inverse(U))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))))),
inference('PARAMODULATE',[status(thm)],[24,113,theory(equality)]) ).
cnf(389,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))),inverse(multiply(inverse(multiply(inverse(multiply(Z,multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))))),multiply(Z,inverse(U)))),inverse(multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))))))))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,113,theory(equality)]) ).
cnf(522,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))),X)),U)),inverse(multiply(inverse(X),X))))))) = inverse(multiply(inverse(multiply(multiply(inverse(Z),Z),multiply(inverse(multiply(inverse(Z),Z)),inverse(inverse(U))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))))))),
inference('PARAMODULATE',[status(thm)],[31,113,theory(equality)]) ).
cnf(589,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,inverse(inverse(multiply(U,V)))))),inverse(multiply(inverse(U),U))))))))),inverse(multiply(inverse(Y),Y))) = multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(X1,W)),multiply(X1,V))),inverse(multiply(inverse(W),W))))),
inference('PARAMODULATE',[status(thm)],[47,43,theory(equality)]) ).
cnf(600,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,inverse(V)))),inverse(multiply(inverse(U),U))))))))),inverse(multiply(inverse(Y),Y))) = multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(U,W)),multiply(inverse(multiply(inverse(multiply(X1,Y1)),multiply(X1,inverse(inverse(multiply(Y1,V)))))),inverse(multiply(inverse(Y1),Y1))))),inverse(multiply(inverse(W),W))))),
inference('PARAMODULATE',[status(thm)],[47,47,theory(equality)]) ).
cnf(601,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,inverse(V)))),inverse(multiply(inverse(U),U)))))),inverse(multiply(inverse(X),X)))))) = multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(U,W)),multiply(inverse(multiply(inverse(multiply(X1,Y1)),multiply(X1,inverse(inverse(multiply(Y1,V)))))),inverse(multiply(inverse(Y1),Y1))))),inverse(multiply(inverse(W),W))))),
inference('PARAMODULATE',[status(thm)],[3,47,theory(equality)]) ).
cnf(778,plain,
multiply(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,inverse(U)))),inverse(multiply(inverse(Y),Y))))))),multiply(X,inverse(inverse(multiply(multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,inverse(U)))),inverse(multiply(inverse(Y),Y))))),V)))))),inverse(multiply(U,multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,inverse(U)))),inverse(multiply(inverse(Y),Y)))))))) = inverse(multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(X1,W)),multiply(X1,V))),inverse(multiply(inverse(W),W)))))),
inference('PARAMODULATE',[status(thm)],[90,single_axiom,theory(equality)]) ).
cnf(848,plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y))))))))) = Z,
inference('PARAMODULATE',[status(thm)],[44,151,theory(equality)]) ).
cnf(962,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),inverse(multiply(inverse(Z),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))))))))))) = inverse(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X),X),U)),Z)),inverse(multiply(inverse(U),U))))))),
inference('PARAMODULATE',[status(thm)],[151,113,theory(equality)]) ).
cnf(987,plain,
multiply(X,inverse(inverse(multiply(multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,U))),inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(V),inverse(multiply(multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(X1,W)),multiply(X1,inverse(U)))),inverse(multiply(inverse(W),W))))),multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,U))),inverse(multiply(inverse(Y),Y))))))))))))) = inverse(inverse(multiply(Y1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,U))),inverse(multiply(inverse(Y),Y))))))),Y1)),V)),inverse(multiply(inverse(Y1),Y1))))))),
inference('PARAMODULATE',[status(thm)],[151,3,theory(equality)]) ).
cnf(1007,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y)))))))) = inverse(inverse(multiply(multiply(inverse(multiply(inverse(U),U)),inverse(multiply(inverse(multiply(inverse(V),V)),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(inverse(multiply(inverse(U),U)),inverse(multiply(inverse(multiply(inverse(V),V)),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))))),Z)),inverse(multiply(multiply(inverse(U),U),multiply(inverse(multiply(inverse(U),U)),inverse(multiply(inverse(multiply(inverse(V),V)),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U)))))))))))))),
inference('PARAMODULATE',[status(thm)],[151,113,theory(equality)]) ).
cnf(1018,plain,
multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference('PARAMODULATE',[status(thm)],[848,7,theory(equality)]) ).
cnf(1019,plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(multiply(inverse(Y),Y)))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[848,113,theory(equality)]) ).
cnf(1036,plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(inverse(U))))),inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(multiply(Y,Z))))) = multiply(V,inverse(multiply(inverse(multiply(inverse(multiply(W,V)),multiply(W,inverse(multiply(Y,inverse(inverse(multiply(Z,inverse(multiply(inverse(U),inverse(multiply(inverse(Z),Z)))))))))))),inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[47,848,theory(equality)]) ).
cnf(1077,plain,
multiply(inverse(multiply(X,multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,U))),inverse(multiply(inverse(Y),Y))))))),multiply(X,inverse(inverse(multiply(multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,U))),inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(V),inverse(multiply(multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(X1,W)),multiply(X1,inverse(U)))),inverse(multiply(inverse(W),W))))),multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,U))),inverse(multiply(inverse(Y),Y)))))))))))))) = V,
inference('PARAMODULATE',[status(thm)],[848,3,theory(equality)]) ).
cnf(1088,plain,
multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,inverse(inverse(multiply(Z,X)))))),U)) = multiply(inverse(multiply(V,inverse(multiply(inverse(Z),Z)))),multiply(V,U)),
inference('PARAMODULATE',[status(thm)],[1018,43,theory(equality)]) ).
cnf(1091,plain,
multiply(X,multiply(Y,Z)) = multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(V,Y)),multiply(V,inverse(X)))),inverse(multiply(inverse(Y),Y)))))),multiply(U,Z)),
inference('PARAMODULATE',[status(thm)],[1018,single_axiom,theory(equality)]) ).
cnf(1100,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),inverse(inverse(multiply(multiply(U,Z),V)))))),inverse(multiply(inverse(multiply(U,Z)),multiply(U,Z))))) = V,
inference('PARAMODULATE',[status(thm)],[43,1018,theory(equality)]) ).
cnf(1101,plain,
inverse(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),multiply(inverse(multiply(X,U)),inverse(V)))),inverse(multiply(inverse(multiply(X,Y)),multiply(X,Y))))))) = V,
inference('PARAMODULATE',[status(thm)],[single_axiom,1018,theory(equality)]) ).
cnf(1102,plain,
inverse(inverse(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),multiply(inverse(multiply(X,U)),V))),inverse(multiply(inverse(multiply(X,Y)),multiply(X,Y)))))))) = V,
inference('PARAMODULATE',[status(thm)],[7,1018,theory(equality)]) ).
cnf(1138,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y)))))))) = inverse(inverse(multiply(multiply(X,U),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(V,Y)),multiply(V,U))),Z)),inverse(multiply(inverse(multiply(X,U)),multiply(X,U)))))))),
inference('PARAMODULATE',[status(thm)],[151,1018,theory(equality)]) ).
cnf(1142,plain,
multiply(X,inverse(inverse(multiply(multiply(Y,Z),inverse(multiply(inverse(U),inverse(multiply(inverse(multiply(V,Z)),multiply(V,Z))))))))) = inverse(inverse(multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,Z))),W)),U)),inverse(multiply(inverse(W),W))))))),
inference('PARAMODULATE',[status(thm)],[151,1018,theory(equality)]) ).
cnf(1144,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(multiply(Y,Z),X)),U)),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V,W)),multiply(V,Z))),multiply(inverse(multiply(Y,W)),inverse(inverse(U))))),inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,Z)))),
inference('PARAMODULATE',[status(thm)],[24,1018,theory(equality)]) ).
cnf(1149,plain,
inverse(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),V)),inverse(multiply(inverse(multiply(X,Y)),multiply(X,Y))))))) = inverse(multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,U)),W)),V)),inverse(multiply(inverse(W),W)))))),
inference('PARAMODULATE',[status(thm)],[46,1018,theory(equality)]) ).
cnf(1161,plain,
inverse(inverse(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),V)),inverse(multiply(inverse(multiply(X,Y)),multiply(X,Y)))))))) = inverse(inverse(multiply(W,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,U)),W)),V)),inverse(multiply(inverse(W),W))))))),
inference('PARAMODULATE',[status(thm)],[150,1018,theory(equality)]) ).
cnf(1173,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[1019,1019,theory(equality)]) ).
cnf(1174,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference('PARAMODULATE',[status(thm)],[1018,1173,theory(equality)]) ).
cnf(1175,plain,
multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(multiply(inverse(Z),Y)),multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[1018,1173,theory(equality)]) ).
cnf(1176,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(X),X))))))) = X,
inference('PARAMODULATE',[status(thm)],[7,1173,theory(equality)]) ).
cnf(1177,plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(X)),inverse(X))))))) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,1173,theory(equality)]) ).
cnf(1180,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,Z)))))),inverse(multiply(inverse(U),U)))) = Z,
inference('PARAMODULATE',[status(thm)],[43,1173,theory(equality)]) ).
cnf(1195,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(U),U)))))) = multiply(inverse(multiply(inverse(multiply(V,Y)),multiply(V,inverse(inverse(Z))))),inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[24,1173,theory(equality)]) ).
cnf(1207,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y)))))))) = inverse(inverse(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(inverse(multiply(inverse(U),U)),Z)),inverse(multiply(inverse(U),U))))))),
inference('PARAMODULATE',[status(thm)],[151,1173,theory(equality)]) ).
cnf(1209,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[1173,1174,theory(equality)]) ).
cnf(1210,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(inverse(U),U)),multiply(inverse(Y),Z)),
inference('PARAMODULATE',[status(thm)],[1174,1174,theory(equality)]) ).
cnf(1211,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(inverse(Z),Y)),multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[1174,1173,theory(equality)]) ).
cnf(1237,plain,
multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z)) = multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[1175,1175,theory(equality)]) ).
cnf(1267,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))))))) = X,
inference('PARAMODULATE',[status(thm)],[1176,1173,theory(equality)]) ).
cnf(1314,plain,
multiply(inverse(multiply(X,Y)),multiply(inverse(Z),Z)) = multiply(inverse(multiply(X,Y)),multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[1237,1267,theory(equality)]) ).
cnf(1315,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(Y,Z)) = multiply(inverse(multiply(inverse(U),U)),multiply(Y,Z)),
inference('PARAMODULATE',[status(thm)],[1210,1267,theory(equality)]) ).
cnf(1319,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z))),inverse(multiply(inverse(U),U))))))) = X,
inference('PARAMODULATE',[status(thm)],[1267,1209,theory(equality)]) ).
cnf(1326,plain,
multiply(inverse(multiply(X,inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))))))),multiply(inverse(U),V)) = multiply(inverse(multiply(W,U)),multiply(W,V)),
inference('PARAMODULATE',[status(thm)],[1174,1267,theory(equality)]) ).
cnf(1335,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U)))))))),inverse(multiply(inverse(V),V))))))) = X,
inference('PARAMODULATE',[status(thm)],[1267,1267,theory(equality)]) ).
cnf(1351,plain,
multiply(inverse(multiply(X,inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))))))),multiply(U,V)) = multiply(inverse(multiply(inverse(W),W)),multiply(U,V)),
inference('PARAMODULATE',[status(thm)],[1315,1267,theory(equality)]) ).
cnf(1352,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[1314,1177,theory(equality)]) ).
cnf(1353,plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))))) = X,
inference('PARAMODULATE',[status(thm)],[1177,1173,theory(equality)]) ).
cnf(1359,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))),X)),U)),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(multiply(inverse(Z),Z),multiply(inverse(multiply(inverse(Z),Z)),inverse(inverse(U))))),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),
inference('REWRITE',[status(thm)],[384,1353,theory(equality)]) ).
cnf(1360,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))),X)),U)),inverse(multiply(inverse(X),X))))))) = multiply(multiply(inverse(Z),Z),multiply(inverse(multiply(inverse(Z),Z)),inverse(inverse(U)))),
inference('REWRITE',[status(thm)],[522,1353,theory(equality)]) ).
cnf(1361,plain,
multiply(inverse(multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),inverse(Z))))))),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))) = Z,
inference('REWRITE',[status(thm)],[377,1353,theory(equality)]) ).
cnf(1362,plain,
multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),Z))))) = Z,
inference('REWRITE',[status(thm)],[379,1353,theory(equality)]) ).
cnf(1363,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))) = X,
inference('REWRITE',[status(thm)],[1361,1362,theory(equality)]) ).
cnf(1368,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),Z)))) = inverse(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X),X),U)),Z)),inverse(multiply(inverse(U),U))))))),
inference('REWRITE',[status(thm)],[962,1353,theory(equality)]) ).
cnf(1386,plain,
multiply(X,multiply(Y,inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U)))))))) = multiply(X,multiply(inverse(V),V)),
inference('PARAMODULATE',[status(thm)],[1352,1267,theory(equality)]) ).
cnf(1398,plain,
inverse(multiply(inverse(X),multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1353,1353,theory(equality)]),1353,theory(equality)]) ).
cnf(1399,plain,
inverse(inverse(multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))))))) = X,
inference('REWRITE',[status(thm)],[1319,1398,theory(equality)]) ).
cnf(1403,plain,
multiply(inverse(X),X) = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),
inference('REWRITE',[status(thm)],[359,1399,theory(equality)]) ).
cnf(1417,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),X)),Z)),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(multiply(inverse(Y),Y),multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(Z))))),multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[1359,1403,theory(equality)]) ).
cnf(1418,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),X)),Z)),inverse(multiply(inverse(X),X))))))) = multiply(multiply(inverse(Y),Y),multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(Z)))),
inference('REWRITE',[status(thm)],[1360,1403,theory(equality)]) ).
cnf(1419,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = X,
inference('REWRITE',[status(thm)],[1363,1403,theory(equality)]) ).
cnf(1428,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y)))))))) = inverse(inverse(multiply(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(U),U)),inverse(multiply(inverse(multiply(multiply(X,Y),Z)),inverse(multiply(multiply(inverse(U),U),multiply(inverse(multiply(inverse(U),U)),multiply(inverse(U),U))))))))),
inference('REWRITE',[status(thm)],[1007,1398,1403,theory(equality)]) ).
cnf(1452,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(multiply(Y,multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)))),multiply(Y,inverse(Z)))),inverse(multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)))))))) = Z,
inference('REWRITE',[status(thm)],[389,1403,theory(equality)]) ).
cnf(1463,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(inverse(multiply(multiply(inverse(X),X),Y)))) = multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),inverse(inverse(Y)))),
inference('REWRITE',[status(thm)],[1368,1418,1403,theory(equality)]) ).
cnf(1464,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),X)),Z)),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(multiply(inverse(Y),Y),Z))))),multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[1417,1463,theory(equality)]) ).
cnf(1534,plain,
multiply(inverse(inverse(X)),multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z))) = X,
inference('PARAMODULATE',[status(thm)],[1419,1175,theory(equality)]) ).
cnf(1546,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[1398,1209,theory(equality)]) ).
cnf(1548,plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = multiply(inverse(Z),Y),
inference('PARAMODULATE',[status(thm)],[1398,1175,theory(equality)]) ).
cnf(1573,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(inverse(Y),Y)))) = inverse(multiply(multiply(inverse(inverse(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(X,U)),Z)),inverse(multiply(inverse(U),U)))))))),Y),inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[212,1548,theory(equality)]) ).
cnf(1614,plain,
multiply(X,multiply(multiply(inverse(inverse(inverse(multiply(Y,X)))),Y),Z)) = multiply(inverse(multiply(U,inverse(multiply(inverse(Y),Y)))),multiply(U,Z)),
inference('REWRITE',[status(thm)],[1088,1548,theory(equality)]) ).
cnf(1632,plain,
inverse(multiply(multiply(inverse(inverse(inverse(multiply(X,Y)))),X),inverse(multiply(inverse(Z),Z)))) = Y,
inference('REWRITE',[status(thm)],[1180,1548,theory(equality)]) ).
cnf(1644,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(U),U)))))) = multiply(multiply(inverse(inverse(inverse(Z))),Y),inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[1195,1548,theory(equality)]) ).
cnf(1654,plain,
multiply(inverse(X),multiply(inverse(Y),Y)) = multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(multiply(inverse(Y),Y),X))))),multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[1464,1548,1419,1644,theory(equality)]) ).
cnf(1705,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(inverse(Y),Y)))) = inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(inverse(inverse(Z))),X),inverse(multiply(inverse(X),X))))),Y),inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[1573,1644,theory(equality)]) ).
cnf(1769,plain,
multiply(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,Z))),inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(multiply(Y,Z))))) = multiply(U,inverse(multiply(multiply(inverse(inverse(multiply(Y,inverse(inverse(multiply(Z,inverse(multiply(inverse(X),inverse(multiply(inverse(Z),Z)))))))))),U),inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[1036,1548,theory(equality)]) ).
cnf(1776,plain,
multiply(X,inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(inverse(inverse(Y))),Z),inverse(multiply(inverse(Z),Z))))),X),inverse(multiply(inverse(X),X))))) = multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),Y)),inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[50,1548,theory(equality)]) ).
cnf(1784,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)),inverse(multiply(Y,inverse(multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)))))))) = Y,
inference('REWRITE',[status(thm)],[1452,1534,1548,theory(equality)]) ).
cnf(1789,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y)))))))) = inverse(inverse(multiply(multiply(X,Y),Z))),
inference('REWRITE',[status(thm)],[1428,1784,theory(equality)]) ).
cnf(1794,plain,
multiply(X,multiply(Y,Z)) = multiply(inverse(multiply(U,inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(inverse(Y),Y)))))),multiply(U,Z)),
inference('REWRITE',[status(thm)],[1091,1548,theory(equality)]) ).
cnf(1841,plain,
multiply(multiply(inverse(inverse(inverse(multiply(X,multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z))))))),X),inverse(multiply(inverse(X),X))) = multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(multiply(inverse(inverse(inverse(multiply(V,Y)))),V),inverse(multiply(inverse(V),V))))),inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[600,1548,theory(equality)]) ).
cnf(1863,plain,
inverse(multiply(X,inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z)))),X),inverse(multiply(inverse(X),X)))))) = multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(multiply(inverse(inverse(inverse(multiply(V,Y)))),V),inverse(multiply(inverse(V),V))))),inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[601,1548,theory(equality)]) ).
cnf(1879,plain,
multiply(multiply(inverse(inverse(inverse(X))),multiply(Y,Z)),multiply(inverse(Z),Z)) = multiply(inverse(multiply(multiply(inverse(Z),U),multiply(inverse(multiply(Y,U)),inverse(inverse(X))))),multiply(inverse(Z),Z)),
inference('REWRITE',[status(thm)],[1144,1644,1548,theory(equality)]) ).
cnf(1883,plain,
multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y)))))))) = inverse(inverse(multiply(multiply(X,U),multiply(multiply(inverse(U),Y),Z)))),
inference('REWRITE',[status(thm)],[1138,1398,1548,theory(equality)]) ).
cnf(1885,plain,
multiply(X,inverse(inverse(multiply(multiply(Y,Z),U)))) = inverse(multiply(multiply(inverse(inverse(inverse(U))),inverse(multiply(X,multiply(Y,Z)))),inverse(multiply(inverse(inverse(multiply(X,multiply(Y,Z)))),inverse(multiply(X,multiply(Y,Z))))))),
inference('REWRITE',[status(thm)],[1142,1644,1398,1548,theory(equality)]) ).
cnf(1944,plain,
inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),multiply(inverse(multiply(X,Z)),inverse(U))))) = U,
inference('REWRITE',[status(thm)],[1101,1398,1548,theory(equality)]) ).
cnf(1945,plain,
inverse(inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),multiply(inverse(multiply(X,Z)),U))))) = U,
inference('REWRITE',[status(thm)],[1102,1398,1548,theory(equality)]) ).
cnf(1947,plain,
inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),U))) = multiply(multiply(inverse(inverse(inverse(U))),inverse(multiply(X,Z))),inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(multiply(X,Z))))),
inference('REWRITE',[status(thm)],[1149,1644,1398,1548,theory(equality)]) ).
cnf(1948,plain,
inverse(inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),U)))) = inverse(multiply(multiply(inverse(inverse(inverse(U))),inverse(multiply(X,Z))),inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(multiply(X,Z)))))),
inference('REWRITE',[status(thm)],[1161,1644,1398,1548,theory(equality)]) ).
cnf(1987,plain,
multiply(X,inverse(inverse(multiply(multiply(Y,inverse(multiply(multiply(inverse(Z),Y),inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(U),inverse(multiply(multiply(V,inverse(multiply(multiply(inverse(inverse(Z)),V),inverse(multiply(inverse(V),V))))),multiply(Y,inverse(multiply(multiply(inverse(Z),Y),inverse(multiply(inverse(Y),Y))))))))))))) = multiply(X,inverse(inverse(multiply(multiply(Y,inverse(multiply(multiply(inverse(Z),Y),inverse(multiply(inverse(Y),Y))))),U)))),
inference('REWRITE',[status(thm)],[987,1885,1644,1548,theory(equality)]) ).
cnf(1990,plain,
multiply(inverse(multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Z),Y),inverse(multiply(inverse(Y),Y))))))),multiply(X,inverse(inverse(multiply(multiply(Y,inverse(multiply(multiply(inverse(Z),Y),inverse(multiply(inverse(Y),Y))))),U))))) = U,
inference('REWRITE',[status(thm)],[1077,1987,1548,theory(equality)]) ).
cnf(2048,plain,
inverse(multiply(multiply(inverse(inverse(inverse(multiply(multiply(X,Y),Z)))),multiply(X,Y)),multiply(inverse(Y),Y))) = Z,
inference('REWRITE',[status(thm)],[1100,1879,1548,theory(equality)]) ).
cnf(2072,plain,
multiply(multiply(inverse(inverse(inverse(multiply(X,multiply(multiply(inverse(inverse(inverse(multiply(Y,Z)))),Y),inverse(multiply(inverse(Y),Y))))))),X),inverse(multiply(inverse(X),X))) = multiply(U,inverse(multiply(multiply(inverse(Z),U),inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[589,1548,theory(equality)]) ).
cnf(2075,plain,
multiply(inverse(X),inverse(multiply(Y,multiply(Z,inverse(multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z)))))))) = inverse(multiply(U,inverse(multiply(multiply(inverse(X),U),inverse(multiply(inverse(U),U)))))),
inference('REWRITE',[status(thm)],[778,1990,1548,theory(equality)]) ).
cnf(2192,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(Y,Z)) = multiply(inverse(multiply(inverse(Z),multiply(inverse(Y),multiply(inverse(U),U)))),multiply(inverse(V),V)),
inference('PARAMODULATE',[status(thm)],[1211,1398,theory(equality)]) ).
cnf(2237,plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))) = X,
inference('PARAMODULATE',[status(thm)],[1398,1546,theory(equality)]) ).
cnf(2307,plain,
multiply(multiply(inverse(inverse(inverse(multiply(X,multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z))))))),X),inverse(multiply(inverse(X),X))) = multiply(U,multiply(inverse(multiply(Z,U)),multiply(multiply(inverse(inverse(inverse(multiply(V,Y)))),V),inverse(multiply(inverse(V),V))))),
inference('REWRITE',[status(thm)],[1841,2237,theory(equality)]) ).
cnf(2308,plain,
inverse(multiply(X,inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z)))),X),inverse(multiply(inverse(X),X)))))) = multiply(U,multiply(inverse(multiply(Z,U)),multiply(multiply(inverse(inverse(inverse(multiply(V,Y)))),V),inverse(multiply(inverse(V),V))))),
inference('REWRITE',[status(thm)],[1863,2237,theory(equality)]) ).
cnf(2323,plain,
multiply(X,inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(inverse(inverse(Y))),Z),inverse(multiply(inverse(Z),Z))))),X),inverse(multiply(inverse(X),X))))) = multiply(U,multiply(inverse(multiply(Z,U)),Y)),
inference('REWRITE',[status(thm)],[1776,2237,theory(equality)]) ).
cnf(2334,plain,
multiply(inverse(multiply(X,Y)),Z) = inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(inverse(inverse(Z))),X),inverse(multiply(inverse(X),X))))),Y),inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[1705,2237,theory(equality)]) ).
cnf(2335,plain,
multiply(X,multiply(inverse(multiply(Y,X)),Z)) = multiply(U,multiply(inverse(multiply(Y,U)),Z)),
inference('REWRITE',[status(thm)],[2323,2334,theory(equality)]) ).
cnf(2378,plain,
inverse(inverse(multiply(X,multiply(Y,inverse(multiply(Y,multiply(inverse(Z),Z))))))) = X,
inference('REWRITE',[status(thm)],[1335,2237,theory(equality)]) ).
cnf(2379,plain,
multiply(X,multiply(Y,inverse(multiply(Y,multiply(inverse(Z),Z))))) = multiply(X,multiply(inverse(U),U)),
inference('REWRITE',[status(thm)],[1386,2237,theory(equality)]) ).
cnf(2386,plain,
multiply(inverse(multiply(X,inverse(multiply(X,multiply(inverse(Y),Y))))),multiply(inverse(Z),U)) = multiply(inverse(multiply(V,Z)),multiply(V,U)),
inference('REWRITE',[status(thm)],[1326,2237,theory(equality)]) ).
cnf(2388,plain,
multiply(inverse(multiply(X,inverse(multiply(X,multiply(inverse(Y),Y))))),multiply(Z,U)) = multiply(inverse(multiply(inverse(V),V)),multiply(Z,U)),
inference('REWRITE',[status(thm)],[1351,2237,theory(equality)]) ).
cnf(2408,plain,
multiply(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,Z))),inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(multiply(Y,Z))))) = multiply(U,inverse(multiply(multiply(inverse(inverse(multiply(Y,inverse(inverse(multiply(Z,X)))))),U),inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[1769,2237,theory(equality)]) ).
cnf(2432,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(inverse(multiply(multiply(X,Y),multiply(inverse(multiply(inverse(U),U)),Z)))),
inference('REWRITE',[status(thm)],[1207,2237,theory(equality)]) ).
cnf(2441,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(inverse(multiply(multiply(X,Y),Z))),
inference('REWRITE',[status(thm)],[1789,2237,theory(equality)]) ).
cnf(2448,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(inverse(multiply(multiply(X,U),multiply(multiply(inverse(U),Y),Z)))),
inference('REWRITE',[status(thm)],[1883,2237,theory(equality)]) ).
cnf(2449,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(multiply(multiply(inverse(inverse(inverse(Z))),inverse(multiply(X,Y))),inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(multiply(X,Y)))))),
inference('REWRITE',[status(thm)],[1948,2448,theory(equality)]) ).
cnf(2454,plain,
inverse(inverse(multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),Z)))) = Z,
inference('REWRITE',[status(thm)],[1945,2441,2448,theory(equality)]) ).
cnf(2469,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[1352,1546,theory(equality)]) ).
cnf(2523,plain,
multiply(X,multiply(inverse(multiply(Y,X)),Z)) = multiply(inverse(multiply(inverse(Z),multiply(Y,inverse(multiply(inverse(U),U))))),multiply(inverse(V),V)),
inference('PARAMODULATE',[status(thm)],[1211,2335,theory(equality)]) ).
cnf(2541,plain,
multiply(inverse(multiply(X,inverse(inverse(multiply(Y,Z))))),multiply(inverse(U),U)) = inverse(multiply(multiply(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[1419,2441,theory(equality)]) ).
cnf(2542,plain,
multiply(inverse(X),multiply(inverse(Y),Y)) = inverse(multiply(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Y),Y)),X)),
inference('REWRITE',[status(thm)],[1654,2541,theory(equality)]) ).
cnf(2555,plain,
multiply(X,inverse(inverse(inverse(inverse(multiply(multiply(Y,Z),U)))))) = inverse(inverse(multiply(multiply(X,Y),inverse(inverse(multiply(Z,U)))))),
inference('PARAMODULATE',[status(thm)],[2441,2441,theory(equality)]) ).
cnf(2570,plain,
multiply(X,inverse(inverse(multiply(multiply(inverse(multiply(Y,X)),Z),U)))) = inverse(inverse(multiply(multiply(V,multiply(inverse(multiply(Y,V)),Z)),U))),
inference('PARAMODULATE',[status(thm)],[2441,2335,theory(equality)]) ).
cnf(2580,plain,
multiply(inverse(inverse(inverse(multiply(multiply(X,Y),Z)))),multiply(X,U)) = inverse(multiply(multiply(inverse(U),Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1175,2441,theory(equality)]),2541,theory(equality)]) ).
cnf(2597,plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference('REWRITE',[status(thm)],[2048,1398,2580,theory(equality)]) ).
cnf(2607,plain,
multiply(inverse(X),multiply(inverse(Y),Y)) = inverse(X),
inference('REWRITE',[status(thm)],[2542,2597,theory(equality)]) ).
cnf(2620,plain,
multiply(X,multiply(inverse(multiply(Y,X)),Z)) = inverse(multiply(inverse(Z),multiply(Y,inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[2523,2607,theory(equality)]) ).
cnf(2626,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(Y,Z)) = inverse(multiply(inverse(Z),inverse(Y))),
inference('REWRITE',[status(thm)],[2192,2607,theory(equality)]) ).
cnf(2641,plain,
multiply(inverse(multiply(X,inverse(multiply(X,multiply(inverse(Y),Y))))),multiply(Z,U)) = inverse(multiply(inverse(U),inverse(Z))),
inference('REWRITE',[status(thm)],[2388,2626,theory(equality)]) ).
cnf(2642,plain,
inverse(multiply(inverse(X),inverse(inverse(Y)))) = multiply(inverse(multiply(Z,Y)),multiply(Z,X)),
inference('REWRITE',[status(thm)],[2386,2641,theory(equality)]) ).
cnf(2662,plain,
multiply(X,multiply(Y,Z)) = inverse(multiply(inverse(Z),inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(inverse(Y),Y)))))))),
inference('REWRITE',[status(thm)],[1794,2642,theory(equality)]) ).
cnf(2664,plain,
multiply(inverse(X),inverse(inverse(multiply(inverse(inverse(multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z))))),inverse(inverse(inverse(multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z)))))))))) = inverse(multiply(U,inverse(multiply(multiply(inverse(X),U),inverse(multiply(inverse(U),U)))))),
inference('REWRITE',[status(thm)],[2075,2662,theory(equality)]) ).
cnf(2669,plain,
multiply(X,multiply(multiply(inverse(inverse(inverse(multiply(Y,X)))),Y),Z)) = inverse(multiply(inverse(Z),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),
inference('REWRITE',[status(thm)],[1614,2642,theory(equality)]) ).
cnf(2744,plain,
inverse(inverse(multiply(inverse(X),inverse(inverse(Y))))) = multiply(inverse(X),Y),
inference('REWRITE',[status(thm)],[1548,2642,theory(equality)]) ).
cnf(2745,plain,
inverse(X) = inverse(multiply(Y,inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(Y),Y)))))),
inference('REWRITE',[status(thm)],[2664,2607,2744,theory(equality)]) ).
cnf(2747,plain,
inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(inverse(Y),Y)))) = multiply(Z,multiply(inverse(multiply(Y,Z)),multiply(multiply(inverse(inverse(inverse(multiply(U,X)))),U),inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[2308,2745,theory(equality)]) ).
cnf(2749,plain,
multiply(multiply(inverse(inverse(inverse(multiply(X,multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z))))))),X),inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(inverse(Y)),Z),inverse(multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[2307,2747,theory(equality)]) ).
cnf(2750,plain,
X = multiply(Y,inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(Y),Y))))),
inference('REWRITE',[status(thm)],[2072,1632,2749,theory(equality)]) ).
cnf(2751,plain,
multiply(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,Z))),inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(multiply(Y,Z))))) = inverse(multiply(Y,inverse(inverse(multiply(Z,X))))),
inference('REWRITE',[status(thm)],[2408,2750,theory(equality)]) ).
cnf(2755,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(inverse(multiply(X,inverse(inverse(multiply(Y,Z)))))),
inference('REWRITE',[status(thm)],[2449,2751,theory(equality)]) ).
cnf(2757,plain,
multiply(X,inverse(inverse(inverse(inverse(multiply(multiply(Y,Z),U)))))) = multiply(multiply(X,Y),inverse(inverse(multiply(Z,U)))),
inference('REWRITE',[status(thm)],[2555,2755,theory(equality)]) ).
cnf(2767,plain,
inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),U))) = inverse(multiply(X,inverse(inverse(multiply(Z,U))))),
inference('REWRITE',[status(thm)],[1947,2751,theory(equality)]) ).
cnf(2768,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[1944,2454,2441,2767,theory(equality)]) ).
cnf(2774,plain,
multiply(X,multiply(Y,inverse(multiply(Y,multiply(inverse(Z),Z))))) = X,
inference('REWRITE',[status(thm)],[2378,2768,theory(equality)]) ).
cnf(2775,plain,
X = multiply(X,multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[2379,2774,theory(equality)]) ).
cnf(2782,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[2469,2775,theory(equality)]) ).
cnf(2784,plain,
multiply(X,multiply(inverse(multiply(Y,X)),Z)) = inverse(multiply(inverse(Z),Y)),
inference('REWRITE',[status(thm)],[2620,2782,theory(equality)]) ).
cnf(2802,plain,
multiply(X,multiply(multiply(inverse(multiply(Y,X)),Z),U)) = multiply(inverse(multiply(inverse(Z),Y)),U),
inference('REWRITE',[status(thm)],[2570,2784,2768,theory(equality)]) ).
cnf(2815,plain,
multiply(X,multiply(multiply(Y,Z),U)) = multiply(multiply(X,Y),multiply(Z,U)),
inference('REWRITE',[status(thm)],[2757,2768,theory(equality)]) ).
cnf(2816,plain,
multiply(multiply(X,inverse(multiply(Y,X))),multiply(Z,U)) = multiply(inverse(multiply(inverse(Z),Y)),U),
inference('REWRITE',[status(thm)],[2802,2815,theory(equality)]) ).
cnf(2827,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[2669,2782,2816,2815,2768,theory(equality)]) ).
cnf(2831,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[2432,2827,2768,theory(equality)]) ).
cnf(2832,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_3,2831,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 : Mon Jun 13 06:42:24 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 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 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 2022-06-13T06:42:25
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-13T06:42:25
% 3.82/4.01
% 3.82/4.01
% 3.82/4.01 #||
% 3.82/4.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/4.01 % SZS output start Refutation
% See solution above
% 3.82/4.04 ||#
% 3.82/4.04
% 3.82/4.04 ; Summary of computation:
% 3.82/4.04 ; 8923 formulas have been input or derived (from 47 formulas).
% 3.82/4.04 ; 2832 (32%) were retained. Of these,
% 3.82/4.04 ; 2783 (98%) were simplified or subsumed later,
% 3.82/4.04 ; 49 ( 2%) are still being kept.
% 3.82/4.04 ;
% 3.82/4.04 ; Run time in seconds excluding printing time:
% 3.82/4.04 ; 0.001 0% Read assertion file (1 call)
% 3.82/4.04 ; 0.000 0% Assert (2 calls)
% 3.82/4.04 ; 1.026 29% Process new row (8,327 calls)
% 3.82/4.04 ; 0.006 0% Resolution (92 calls)
% 3.82/4.04 ; 0.246 7% Paramodulation (46 calls)
% 3.82/4.04 ; 1.130 32% Forward simplification (7,658 calls)
% 3.82/4.04 ; 0.704 20% Backward simplification (2,832 calls)
% 3.82/4.04 ; 0.330 9% Ordering (23,022 calls)
% 3.82/4.04 ; 0.000 0% Sortal reasoning (32 calls)
% 3.82/4.04 ; 0.000 0% Purity testing (1 call)
% 3.82/4.04 ; 0.053 2% Other
% 3.82/4.04 ; 3.496 Total
% 3.82/4.04 ; 3.528 Real time
% 3.82/4.04 ;
% 3.82/4.04 ; Term-hash-array has 14,032 terms in all.
% 3.82/4.04 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.82/4.04 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.82/4.04 ; Path-index has 208 entries (7,082 at peak, 15,426 added, 15,218 deleted).
% 3.82/4.04 ; Path-index has 30,276 nodes (32,442 at peak, 48,136 added, 17,860 deleted).
% 3.82/4.04 ; Trie-index has 208 entries (7,082 at peak, 15,426 added, 15,218 deleted).
% 3.82/4.04 ; Trie-index has 850 nodes (125,458 at peak, 226,898 added, 226,048 deleted).
% 3.82/4.04 ; Retrieved 26,250 generalization terms in 195,346 calls.
% 3.82/4.04 ; Retrieved 16,076 instance terms in 3,224 calls.
% 3.82/4.04 ; Retrieved 57,550 unifiable terms in 761 calls.
% 3.82/4.04 ;
% 3.82/4.04 ; The agenda of backward simplifiable rows to process has 498 entries:
% 3.82/4.04 ; 498 with value 0
% 3.82/4.04 ; The agenda of rows to process has 47 entries:
% 3.82/4.04 ; 8 with value 44 3 with value 47 5 with value 50
% 3.82/4.04 ; 9 with value 45 7 with value 48 5 with value 51
% 3.82/4.04 ; 2 with value 46 6 with value 49 2 with value 52
% 3.82/4.04 ; The agenda of rows to give has 46 entries:
% 3.82/4.04 ; 1 with value (4 16) 3 with value (4 27) 1 with value (4 34)
% 3.82/4.04 ; 1 with value (4 18) 1 with value (4 28) 2 with value (4 35)
% 3.82/4.04 ; 1 with value (4 20) 3 with value (4 29) 1 with value (4 36)
% 3.82/4.04 ; 1 with value (4 22) 7 with value (4 30) 1 with value (4 38)
% 3.82/4.04 ; 5 with value (4 23) 3 with value (4 31) 1 with value (4 42)
% 3.82/4.04 ; 6 with value (4 25) 3 with value (4 32) 1 with value (4 57)
% 3.82/4.04 ; 4 with value (4 26)
% 3.82/4.04 Evaluation took:
% 3.82/4.04 3.528 seconds of real time
% 3.82/4.04 3.321232 seconds of user run time
% 3.82/4.04 0.206704 seconds of system run time
% 3.82/4.04 [Run times include 0.619 seconds GC run time.]
% 3.82/4.04 0 calls to %EVAL
% 3.82/4.04 0 page faults and
% 3.82/4.04 271,205,240 bytes consed.
% 3.82/4.04 :PROOF-FOUND
% 3.82/4.04 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T06:42:28
% 3.82/4.04 :PROOF-FOUND
% 3.82/4.04 *
%------------------------------------------------------------------------------