TSTP Solution File: GRP053-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP053-1 : TPTP v8.1.0. Released v1.0.0.
% 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 11:35:40 EDT 2022
% Result : Unsatisfiable 3.66s 3.87s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 2
% Syntax : Number of clauses : 176 ( 171 unt; 0 nHn; 7 RR)
% Number of literals : 182 ( 181 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 19 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 649 ( 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,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
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(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('REWRITE',[status(thm)],[prove_these_axioms,1173,theory(equality)]) ).
cnf(1175,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(1176,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(1177,plain,
( multiply(multiply(inverse(X),X),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('PARAMODULATE',[status(thm)],[1174,1173,theory(equality)]) ).
cnf(1178,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(1179,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(1182,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(1197,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(1209,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(1211,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[1173,1175,theory(equality)]) ).
cnf(1212,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)],[1175,1175,theory(equality)]) ).
cnf(1213,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)],[1175,1173,theory(equality)]) ).
cnf(1239,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)],[1176,1176,theory(equality)]) ).
cnf(1270,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))))))) = X,
inference('PARAMODULATE',[status(thm)],[1178,1173,theory(equality)]) ).
cnf(1317,plain,
multiply(inverse(multiply(X,Y)),multiply(inverse(Z),Z)) = multiply(inverse(multiply(X,Y)),multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[1239,1270,theory(equality)]) ).
cnf(1318,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(Y,Z)) = multiply(inverse(multiply(inverse(U),U)),multiply(Y,Z)),
inference('PARAMODULATE',[status(thm)],[1212,1270,theory(equality)]) ).
cnf(1322,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)],[1270,1211,theory(equality)]) ).
cnf(1329,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)],[1175,1270,theory(equality)]) ).
cnf(1339,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)],[1270,1270,theory(equality)]) ).
cnf(1355,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)],[1318,1270,theory(equality)]) ).
cnf(1356,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[1317,1179,theory(equality)]) ).
cnf(1357,plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))))) = X,
inference('PARAMODULATE',[status(thm)],[1179,1173,theory(equality)]) ).
cnf(1363,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)],[384,1357,theory(equality)]) ).
cnf(1364,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)],[522,1357,theory(equality)]) ).
cnf(1365,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)],[377,1357,theory(equality)]) ).
cnf(1366,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)],[379,1357,theory(equality)]) ).
cnf(1367,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)],[1365,1366,theory(equality)]) ).
cnf(1372,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)],[962,1357,theory(equality)]) ).
cnf(1390,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)],[1356,1270,theory(equality)]) ).
cnf(1402,plain,
inverse(multiply(inverse(X),multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1357,1357,theory(equality)]),1357,theory(equality)]) ).
cnf(1403,plain,
inverse(inverse(multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))))))) = X,
inference('REWRITE',[status(thm)],[1322,1402,theory(equality)]) ).
cnf(1407,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)],[359,1403,theory(equality)]) ).
cnf(1421,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)],[1363,1407,theory(equality)]) ).
cnf(1422,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)],[1364,1407,theory(equality)]) ).
cnf(1423,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = X,
inference('REWRITE',[status(thm)],[1367,1407,theory(equality)]) ).
cnf(1432,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)],[1007,1402,1407,theory(equality)]) ).
cnf(1456,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)],[389,1407,theory(equality)]) ).
cnf(1467,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)],[1372,1422,1407,theory(equality)]) ).
cnf(1468,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)],[1421,1467,theory(equality)]) ).
cnf(1539,plain,
multiply(inverse(inverse(X)),multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z))) = X,
inference('PARAMODULATE',[status(thm)],[1423,1176,theory(equality)]) ).
cnf(1551,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[1402,1211,theory(equality)]) ).
cnf(1553,plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = multiply(inverse(Z),Y),
inference('PARAMODULATE',[status(thm)],[1402,1176,theory(equality)]) ).
cnf(1578,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)],[212,1553,theory(equality)]) ).
cnf(1619,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)],[1088,1553,theory(equality)]) ).
cnf(1637,plain,
inverse(multiply(multiply(inverse(inverse(inverse(multiply(X,Y)))),X),inverse(multiply(inverse(Z),Z)))) = Y,
inference('REWRITE',[status(thm)],[1182,1553,theory(equality)]) ).
cnf(1649,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)],[1197,1553,theory(equality)]) ).
cnf(1659,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)],[1468,1553,1423,1649,theory(equality)]) ).
cnf(1710,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)],[1578,1649,theory(equality)]) ).
cnf(1774,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)],[1036,1553,theory(equality)]) ).
cnf(1781,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)],[50,1553,theory(equality)]) ).
cnf(1789,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)],[1456,1539,1553,theory(equality)]) ).
cnf(1794,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)],[1432,1789,theory(equality)]) ).
cnf(1799,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)],[1091,1553,theory(equality)]) ).
cnf(1846,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)],[600,1553,theory(equality)]) ).
cnf(1868,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)],[601,1553,theory(equality)]) ).
cnf(1884,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)],[1144,1649,1553,theory(equality)]) ).
cnf(1888,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)],[1138,1402,1553,theory(equality)]) ).
cnf(1890,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)],[1142,1649,1402,1553,theory(equality)]) ).
cnf(1949,plain,
inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),multiply(inverse(multiply(X,Z)),inverse(U))))) = U,
inference('REWRITE',[status(thm)],[1101,1402,1553,theory(equality)]) ).
cnf(1950,plain,
inverse(inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),multiply(inverse(multiply(X,Z)),U))))) = U,
inference('REWRITE',[status(thm)],[1102,1402,1553,theory(equality)]) ).
cnf(1952,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)],[1149,1649,1402,1553,theory(equality)]) ).
cnf(1953,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)],[1161,1649,1402,1553,theory(equality)]) ).
cnf(1992,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)],[987,1890,1649,1553,theory(equality)]) ).
cnf(1995,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)],[1077,1992,1553,theory(equality)]) ).
cnf(2053,plain,
inverse(multiply(multiply(inverse(inverse(inverse(multiply(multiply(X,Y),Z)))),multiply(X,Y)),multiply(inverse(Y),Y))) = Z,
inference('REWRITE',[status(thm)],[1100,1884,1553,theory(equality)]) ).
cnf(2077,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)],[589,1553,theory(equality)]) ).
cnf(2080,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)],[778,1995,1553,theory(equality)]) ).
cnf(2198,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)],[1213,1402,theory(equality)]) ).
cnf(2243,plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))) = X,
inference('PARAMODULATE',[status(thm)],[1402,1551,theory(equality)]) ).
cnf(2313,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)],[1846,2243,theory(equality)]) ).
cnf(2314,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)],[1868,2243,theory(equality)]) ).
cnf(2329,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)],[1781,2243,theory(equality)]) ).
cnf(2340,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)],[1710,2243,theory(equality)]) ).
cnf(2341,plain,
multiply(X,multiply(inverse(multiply(Y,X)),Z)) = multiply(U,multiply(inverse(multiply(Y,U)),Z)),
inference('REWRITE',[status(thm)],[2329,2340,theory(equality)]) ).
cnf(2384,plain,
inverse(inverse(multiply(X,multiply(Y,inverse(multiply(Y,multiply(inverse(Z),Z))))))) = X,
inference('REWRITE',[status(thm)],[1339,2243,theory(equality)]) ).
cnf(2385,plain,
multiply(X,multiply(Y,inverse(multiply(Y,multiply(inverse(Z),Z))))) = multiply(X,multiply(inverse(U),U)),
inference('REWRITE',[status(thm)],[1390,2243,theory(equality)]) ).
cnf(2392,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)],[1329,2243,theory(equality)]) ).
cnf(2395,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)],[1355,2243,theory(equality)]) ).
cnf(2415,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)],[1774,2243,theory(equality)]) ).
cnf(2439,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)],[1209,2243,theory(equality)]) ).
cnf(2448,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(inverse(multiply(multiply(X,Y),Z))),
inference('REWRITE',[status(thm)],[1794,2243,theory(equality)]) ).
cnf(2455,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(inverse(multiply(multiply(X,U),multiply(multiply(inverse(U),Y),Z)))),
inference('REWRITE',[status(thm)],[1888,2243,theory(equality)]) ).
cnf(2456,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)],[1953,2455,theory(equality)]) ).
cnf(2461,plain,
inverse(inverse(multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),Z)))) = Z,
inference('REWRITE',[status(thm)],[1950,2448,2455,theory(equality)]) ).
cnf(2476,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[1356,1551,theory(equality)]) ).
cnf(2492,plain,
( multiply(inverse(multiply(inverse(X),X)),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('PARAMODULATE',[status(thm)],[1177,1551,theory(equality)]) ).
cnf(2532,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)],[1213,2341,theory(equality)]) ).
cnf(2550,plain,
multiply(inverse(multiply(X,inverse(inverse(multiply(Y,Z))))),multiply(inverse(U),U)) = inverse(multiply(multiply(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[1423,2448,theory(equality)]) ).
cnf(2551,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)],[1659,2550,theory(equality)]) ).
cnf(2564,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)],[2448,2448,theory(equality)]) ).
cnf(2573,plain,
multiply(X,inverse(inverse(multiply(multiply(inverse(multiply(Y,X)),Z),U)))) = multiply(V,multiply(inverse(multiply(Y,V)),inverse(inverse(multiply(Z,U))))),
inference('PARAMODULATE',[status(thm)],[2341,2448,theory(equality)]) ).
cnf(2579,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)],[2448,2341,theory(equality)]) ).
cnf(2589,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)],[1176,2448,theory(equality)]),2550,theory(equality)]) ).
cnf(2606,plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference('REWRITE',[status(thm)],[2053,1402,2589,theory(equality)]) ).
cnf(2616,plain,
multiply(inverse(X),multiply(inverse(Y),Y)) = inverse(X),
inference('REWRITE',[status(thm)],[2551,2606,theory(equality)]) ).
cnf(2629,plain,
multiply(X,multiply(inverse(multiply(Y,X)),Z)) = inverse(multiply(inverse(Z),multiply(Y,inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[2532,2616,theory(equality)]) ).
cnf(2635,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(Y,Z)) = inverse(multiply(inverse(Z),inverse(Y))),
inference('REWRITE',[status(thm)],[2198,2616,theory(equality)]) ).
cnf(2650,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)],[2395,2635,theory(equality)]) ).
cnf(2651,plain,
inverse(multiply(inverse(X),inverse(inverse(Y)))) = multiply(inverse(multiply(Z,Y)),multiply(Z,X)),
inference('REWRITE',[status(thm)],[2392,2650,theory(equality)]) ).
cnf(2671,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)],[1799,2651,theory(equality)]) ).
cnf(2673,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)],[2080,2671,theory(equality)]) ).
cnf(2678,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)],[1619,2651,theory(equality)]) ).
cnf(2753,plain,
inverse(inverse(multiply(inverse(X),inverse(inverse(Y))))) = multiply(inverse(X),Y),
inference('REWRITE',[status(thm)],[1553,2651,theory(equality)]) ).
cnf(2754,plain,
inverse(X) = inverse(multiply(Y,inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(Y),Y)))))),
inference('REWRITE',[status(thm)],[2673,2616,2753,theory(equality)]) ).
cnf(2756,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)],[2314,2754,theory(equality)]) ).
cnf(2758,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)],[2313,2756,theory(equality)]) ).
cnf(2759,plain,
X = multiply(Y,inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(Y),Y))))),
inference('REWRITE',[status(thm)],[2077,1637,2758,theory(equality)]) ).
cnf(2760,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)],[2415,2759,theory(equality)]) ).
cnf(2764,plain,
multiply(X,inverse(inverse(multiply(Y,Z)))) = inverse(inverse(multiply(X,inverse(inverse(multiply(Y,Z)))))),
inference('REWRITE',[status(thm)],[2456,2760,theory(equality)]) ).
cnf(2766,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)],[2564,2764,theory(equality)]) ).
cnf(2776,plain,
inverse(multiply(multiply(X,Y),multiply(multiply(inverse(Y),Z),U))) = inverse(multiply(X,inverse(inverse(multiply(Z,U))))),
inference('REWRITE',[status(thm)],[1952,2760,theory(equality)]) ).
cnf(2777,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[1949,2461,2448,2776,theory(equality)]) ).
cnf(2783,plain,
multiply(X,multiply(Y,inverse(multiply(Y,multiply(inverse(Z),Z))))) = X,
inference('REWRITE',[status(thm)],[2384,2777,theory(equality)]) ).
cnf(2784,plain,
X = multiply(X,multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[2385,2783,theory(equality)]) ).
cnf(2792,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[2476,2784,theory(equality)]) ).
cnf(2794,plain,
multiply(X,multiply(inverse(multiply(Y,X)),Z)) = inverse(multiply(inverse(Z),Y)),
inference('REWRITE',[status(thm)],[2629,2792,theory(equality)]) ).
cnf(2812,plain,
multiply(X,multiply(multiply(inverse(multiply(Y,X)),Z),U)) = multiply(inverse(multiply(inverse(Z),Y)),U),
inference('REWRITE',[status(thm)],[2579,2794,2777,theory(equality)]) ).
cnf(2820,plain,
multiply(inverse(multiply(inverse(X),Y)),Z) = inverse(multiply(inverse(multiply(X,Z)),Y)),
inference('REWRITE',[status(thm)],[2573,2794,2812,2777,theory(equality)]) ).
cnf(2823,plain,
( inverse(multiply(inverse(multiply(X,a2)),X)) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('REWRITE',[status(thm)],[2492,2820,theory(equality)]) ).
cnf(2826,plain,
multiply(X,multiply(multiply(Y,Z),U)) = multiply(multiply(X,Y),multiply(Z,U)),
inference('REWRITE',[status(thm)],[2766,2777,theory(equality)]) ).
cnf(2827,plain,
multiply(multiply(X,inverse(multiply(Y,X))),multiply(Z,U)) = multiply(inverse(multiply(inverse(Z),Y)),U),
inference('REWRITE',[status(thm)],[2812,2826,theory(equality)]) ).
cnf(2838,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[2678,2792,2827,2826,2777,theory(equality)]) ).
cnf(2842,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[2439,2838,2777,theory(equality)]) ).
cnf(2844,plain,
inverse(multiply(inverse(multiply(X,a2)),X)) != a2,
inference('REWRITE',[status(thm)],[2823,2842,theory(equality)]) ).
cnf(2861,plain,
inverse(multiply(inverse(multiply(X,Y)),X)) = Y,
inference('REWRITE',[status(thm)],[1637,2792,2777,theory(equality)]) ).
cnf(2863,plain,
$false,
inference('REWRITE',[status(thm)],[2844,2861,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 02:21:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T02:21:49
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T02:21:49
% 3.66/3.87
% 3.66/3.87
% 3.66/3.87 #||
% 3.66/3.87 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/3.87 % SZS output start Refutation
% See solution above
% 3.66/3.90 ||#
% 3.66/3.90
% 3.66/3.90 ; Summary of computation:
% 3.66/3.90 ; 8976 formulas have been input or derived (from 49 formulas).
% 3.66/3.90 ; 2863 (32%) were retained. Of these,
% 3.66/3.90 ; 2799 (98%) were simplified or subsumed later,
% 3.66/3.90 ; 64 ( 2%) are still being kept.
% 3.66/3.90 ;
% 3.66/3.90 ; Run time in seconds excluding printing time:
% 3.66/3.90 ; 0.001 0% Read assertion file (1 call)
% 3.66/3.90 ; 0.000 0% Assert (2 calls)
% 3.66/3.90 ; 0.929 27% Process new row (8,406 calls)
% 3.66/3.90 ; 0.010 0% Resolution (96 calls)
% 3.66/3.90 ; 0.223 7% Paramodulation (48 calls)
% 3.66/3.90 ; 0.001 0% Condensing (36 calls)
% 3.66/3.90 ; 0.002 0% Forward subsumption (36 calls)
% 3.66/3.90 ; 0.000 0% Backward subsumption (12 calls)
% 3.66/3.90 ; 0.000 0% Clause clause subsumption (40 calls)
% 3.66/3.90 ; 1.257 37% Forward simplification (7,731 calls)
% 3.66/3.90 ; 0.650 19% Backward simplification (2,863 calls)
% 3.66/3.90 ; 0.280 8% Ordering (23,424 calls)
% 3.66/3.90 ; 0.001 0% Sortal reasoning (32 calls)
% 3.66/3.90 ; 0.000 0% Purity testing (1 call)
% 3.66/3.90 ; 0.044 1% Other
% 3.66/3.90 ; 3.398 Total
% 3.66/3.90 ; 3.432 Real time
% 3.66/3.90 ;
% 3.66/3.90 ; Term-hash-array has 14,105 terms in all.
% 3.66/3.90 ; Feature-vector-row-index has 0 entries (6 at peak, 12 added, 12 deleted).
% 3.66/3.90 ; Feature-vector-row-index has 1 node (46 at peak, 130 added, 129 deleted).
% 3.66/3.90 ; Retrieved 47 possibly forward subsuming rows in 36 calls.
% 3.66/3.90 ; Retrieved 9 possibly backward subsumed rows in 12 calls.
% 3.66/3.90 ; Path-index has 249 entries (7,089 at peak, 15,555 added, 15,306 deleted).
% 3.66/3.90 ; Path-index has 30,312 nodes (32,452 at peak, 48,289 added, 17,977 deleted).
% 3.66/3.90 ; Trie-index has 249 entries (7,089 at peak, 15,555 added, 15,306 deleted).
% 3.66/3.90 ; Trie-index has 1,057 nodes (125,484 at peak, 227,476 added, 226,419 deleted).
% 3.66/3.90 ; Retrieved 26,769 generalization terms in 196,328 calls.
% 3.66/3.90 ; Retrieved 16,158 instance terms in 3,254 calls.
% 3.66/3.90 ; Retrieved 58,804 unifiable terms in 801 calls.
% 3.66/3.90 ;
% 3.66/3.90 ; The agenda of backward simplifiable rows to process has 470 entries:
% 3.66/3.90 ; 470 with value 0
% 3.66/3.90 ; The agenda of rows to process has 49 entries:
% 3.66/3.90 ; 8 with value 44 3 with value 47 6 with value 50
% 3.66/3.90 ; 9 with value 45 7 with value 48 5 with value 51
% 3.66/3.90 ; 2 with value 46 7 with value 49 2 with value 52
% 3.66/3.90 ; The agenda of rows to give has 61 entries:
% 3.66/3.90 ; 1 with value (4 16) 5 with value (4 26) 1 with value (4 34)
% 3.66/3.90 ; 1 with value (4 18) 5 with value (4 27) 3 with value (4 35)
% 3.66/3.90 ; 1 with value (4 20) 1 with value (4 28) 1 with value (4 36)
% 3.66/3.90 ; 1 with value (4 22) 4 with value (4 29) 2 with value (4 37)
% 3.66/3.90 ; 7 with value (4 23) 7 with value (4 30) 1 with value (4 38)
% 3.66/3.90 ; 1 with value (4 24) 6 with value (4 31) 1 with value (4 42)
% 3.66/3.90 ; 6 with value (4 25) 5 with value (4 32) 1 with value (4 51)
% 3.66/3.90 Evaluation took:
% 3.66/3.90 3.433 seconds of real time
% 3.66/3.90 3.242713 seconds of user run time
% 3.66/3.90 0.190064 seconds of system run time
% 3.66/3.90 [Run times include 0.601 seconds GC run time.]
% 3.66/3.90 0 calls to %EVAL
% 3.66/3.90 0 page faults and
% 3.66/3.90 273,625,624 bytes consed.
% 3.66/3.90 :PROOF-FOUND
% 3.66/3.90 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T02:21:52
% 3.66/3.90 :PROOF-FOUND
% 3.66/3.90 *
%------------------------------------------------------------------------------