%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP195-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 10:37:57 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of clauses : 96 ( 48 unt; 0 nHn; 65 RR)
% Number of literals : 167 ( 166 equ; 73 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 173 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_multiply,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ).
cnf(condition,hypothesis,
multiply(X,multiply(Y,Y)) = multiply(Y,multiply(Y,X)) ).
cnf(prove_this,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ).
cnf(refute_0_0,plain,
multiply(multiply(X_2,multiply(X_2,X)),X_4) = multiply(X_2,multiply(multiply(X_2,X),X_4)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(multiply(X_2,X))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_1,plain,
multiply(X,multiply(X_2,X_2)) = multiply(X_2,multiply(X_2,X)),
inference(subst,[],[condition:[bind(Y,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_3,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_4,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( multiply(X,multiply(X_2,X_2)) != multiply(X_2,multiply(X_2,X))
| multiply(X_2,multiply(X_2,X)) = multiply(X,multiply(X_2,X_2)) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X,multiply(X_2,X_2)))),bind(Y0,$fot(multiply(X_2,multiply(X_2,X))))]]) ).
cnf(refute_0_6,plain,
multiply(X_2,multiply(X_2,X)) = multiply(X,multiply(X_2,X_2)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_2,X_2)),multiply(X_2,multiply(X_2,X))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( multiply(X_2,multiply(X_2,X)) != multiply(X,multiply(X_2,X_2))
| multiply(multiply(X_2,multiply(X_2,X)),X_4) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(multiply(X,multiply(X_2,X_2)),X_4) = multiply(X_2,multiply(multiply(X_2,X),X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,multiply(X_2,X)),X_4),multiply(X_2,multiply(multiply(X_2,X),X_4))) ),[0,0],$fot(multiply(X,multiply(X_2,X_2)))]]) ).
cnf(refute_0_8,plain,
( multiply(multiply(X_2,multiply(X_2,X)),X_4) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(multiply(X,multiply(X_2,X_2)),X_4) = multiply(X_2,multiply(multiply(X_2,X),X_4)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_2,X)),multiply(X,multiply(X_2,X_2))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(multiply(X,multiply(X_2,X_2)),X_4) = multiply(X_2,multiply(multiply(X_2,X),X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,multiply(X_2,X)),X_4),multiply(X_2,multiply(multiply(X_2,X),X_4))) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(multiply(X_2,X_2),X_4) = multiply(X_2,multiply(X_2,X_4)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X_2)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_11,plain,
multiply(X,multiply(multiply(X_2,X_2),X_4)) = multiply(X,multiply(multiply(X_2,X_2),X_4)),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(X_2,X_2),X_4)))]]) ).
cnf(refute_0_12,plain,
( multiply(X,multiply(multiply(X_2,X_2),X_4)) != multiply(X,multiply(multiply(X_2,X_2),X_4))
| multiply(multiply(X_2,X_2),X_4) != multiply(X_2,multiply(X_2,X_4))
| multiply(X,multiply(multiply(X_2,X_2),X_4)) = multiply(X,multiply(X_2,multiply(X_2,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_2),X_4)),multiply(X,multiply(multiply(X_2,X_2),X_4))) ),[1,1],$fot(multiply(X_2,multiply(X_2,X_4)))]]) ).
cnf(refute_0_13,plain,
( multiply(multiply(X_2,X_2),X_4) != multiply(X_2,multiply(X_2,X_4))
| multiply(X,multiply(multiply(X_2,X_2),X_4)) = multiply(X,multiply(X_2,multiply(X_2,X_4))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_2),X_4)),multiply(X,multiply(multiply(X_2,X_2),X_4))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(X,multiply(multiply(X_2,X_2),X_4)) = multiply(X,multiply(X_2,multiply(X_2,X_4))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_2),X_4),multiply(X_2,multiply(X_2,X_4))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(multiply(X,multiply(X_2,X_2)),X_4) = multiply(X,multiply(multiply(X_2,X_2),X_4)),
inference(subst,[],[associativity_of_multiply:[bind(Y,$fot(multiply(X_2,X_2))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_16,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_17,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_4,refute_0_16]) ).
cnf(refute_0_18,plain,
( multiply(X,multiply(multiply(X_2,X_2),X_4)) != multiply(X,multiply(X_2,multiply(X_2,X_4)))
| multiply(multiply(X,multiply(X_2,X_2)),X_4) != multiply(X,multiply(multiply(X_2,X_2),X_4))
| multiply(multiply(X,multiply(X_2,X_2)),X_4) = multiply(X,multiply(X_2,multiply(X_2,X_4))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(multiply(X,multiply(X_2,X_2)),X_4))),bind(Y0,$fot(multiply(X,multiply(multiply(X_2,X_2),X_4)))),bind(Z0,$fot(multiply(X,multiply(X_2,multiply(X_2,X_4)))))]]) ).
cnf(refute_0_19,plain,
( multiply(X,multiply(multiply(X_2,X_2),X_4)) != multiply(X,multiply(X_2,multiply(X_2,X_4)))
| multiply(multiply(X,multiply(X_2,X_2)),X_4) = multiply(X,multiply(X_2,multiply(X_2,X_4))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(X_2,X_2)),X_4),multiply(X,multiply(multiply(X_2,X_2),X_4))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(multiply(X,multiply(X_2,X_2)),X_4) = multiply(X,multiply(X_2,multiply(X_2,X_4))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_2),X_4)),multiply(X,multiply(X_2,multiply(X_2,X_4)))) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
( multiply(multiply(X,multiply(X_2,X_2)),X_4) != multiply(X,multiply(X_2,multiply(X_2,X_4)))
| multiply(multiply(X,multiply(X_2,X_2)),X_4) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(X,multiply(X_2,multiply(X_2,X_4))) = multiply(X_2,multiply(multiply(X_2,X),X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,multiply(X_2,X_2)),X_4),multiply(X_2,multiply(multiply(X_2,X),X_4))) ),[0],$fot(multiply(X,multiply(X_2,multiply(X_2,X_4))))]]) ).
cnf(refute_0_22,plain,
( multiply(multiply(X,multiply(X_2,X_2)),X_4) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(X,multiply(X_2,multiply(X_2,X_4))) = multiply(X_2,multiply(multiply(X_2,X),X_4)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(X_2,X_2)),X_4),multiply(X,multiply(X_2,multiply(X_2,X_4)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
multiply(multiply(X_2,X),X_4) = multiply(X_2,multiply(X,X_4)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_24,plain,
multiply(X_2,multiply(multiply(X_2,X),X_4)) = multiply(X_2,multiply(multiply(X_2,X),X_4)),
introduced(tautology,[refl,[$fot(multiply(X_2,multiply(multiply(X_2,X),X_4)))]]) ).
cnf(refute_0_25,plain,
( multiply(X_2,multiply(multiply(X_2,X),X_4)) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(multiply(X_2,X),X_4) != multiply(X_2,multiply(X,X_4))
| multiply(X_2,multiply(multiply(X_2,X),X_4)) = multiply(X_2,multiply(X_2,multiply(X,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,multiply(multiply(X_2,X),X_4)),multiply(X_2,multiply(multiply(X_2,X),X_4))) ),[1,1],$fot(multiply(X_2,multiply(X,X_4)))]]) ).
cnf(refute_0_26,plain,
( multiply(multiply(X_2,X),X_4) != multiply(X_2,multiply(X,X_4))
| multiply(X_2,multiply(multiply(X_2,X),X_4)) = multiply(X_2,multiply(X_2,multiply(X,X_4))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(multiply(X_2,X),X_4)),multiply(X_2,multiply(multiply(X_2,X),X_4))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(X_2,multiply(multiply(X_2,X),X_4)) = multiply(X_2,multiply(X_2,multiply(X,X_4))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X),X_4),multiply(X_2,multiply(X,X_4))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
( multiply(X,multiply(X_2,multiply(X_2,X_4))) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(X_2,multiply(multiply(X_2,X),X_4)) != multiply(X_2,multiply(X_2,multiply(X,X_4)))
| multiply(X,multiply(X_2,multiply(X_2,X_4))) = multiply(X_2,multiply(X_2,multiply(X,X_4))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_2,multiply(X_2,X_4))),multiply(X_2,multiply(X_2,multiply(X,X_4)))) ),[0],$fot(multiply(X_2,multiply(multiply(X_2,X),X_4)))]]) ).
cnf(refute_0_29,plain,
( multiply(X,multiply(X_2,multiply(X_2,X_4))) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(X,multiply(X_2,multiply(X_2,X_4))) = multiply(X_2,multiply(X_2,multiply(X,X_4))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(multiply(X_2,X),X_4)),multiply(X_2,multiply(X_2,multiply(X,X_4)))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( multiply(multiply(X,multiply(X_2,X_2)),X_4) != multiply(X_2,multiply(multiply(X_2,X),X_4))
| multiply(X,multiply(X_2,multiply(X_2,X_4))) = multiply(X_2,multiply(X_2,multiply(X,X_4))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_2,multiply(X_2,X_4))),multiply(X_2,multiply(multiply(X_2,X),X_4))) )],[refute_0_22,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(X,multiply(X_2,multiply(X_2,X_4))) = multiply(X_2,multiply(X_2,multiply(X,X_4))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(X_2,X_2)),X_4),multiply(X_2,multiply(multiply(X_2,X),X_4))) )],[refute_0_9,refute_0_30]) ).
cnf(refute_0_32,plain,
( multiply(X,multiply(X_2,multiply(X_2,X_4))) != multiply(X_2,multiply(X_2,multiply(X,X_4)))
| multiply(X_2,multiply(X_2,multiply(X,X_4))) = multiply(X,multiply(X_2,multiply(X_2,X_4))) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(multiply(X,multiply(X_2,multiply(X_2,X_4))))),bind(Y0,$fot(multiply(X_2,multiply(X_2,multiply(X,X_4)))))]]) ).
cnf(refute_0_33,plain,
multiply(X_2,multiply(X_2,multiply(X,X_4))) = multiply(X,multiply(X_2,multiply(X_2,X_4))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_2,multiply(X_2,X_4))),multiply(X_2,multiply(X_2,multiply(X,X_4)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(b,multiply(b,multiply(a,multiply(b,b)))) = multiply(a,multiply(b,multiply(b,multiply(b,b)))),
inference(subst,[],[refute_0_33:[bind(X,$fot(a)),bind(X_2,$fot(b)),bind(X_4,$fot(multiply(b,b)))]]) ).
cnf(refute_0_35,plain,
multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) = multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))),
introduced(tautology,[refl,[$fot(multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))]]) ).
cnf(refute_0_36,plain,
( multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) != multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))
| multiply(b,multiply(b,multiply(a,multiply(b,b)))) != multiply(a,multiply(b,multiply(b,multiply(b,b))))
| multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) = multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))),multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) ),[1,1],$fot(multiply(a,multiply(b,multiply(b,multiply(b,b)))))]]) ).
cnf(refute_0_37,plain,
( multiply(b,multiply(b,multiply(a,multiply(b,b)))) != multiply(a,multiply(b,multiply(b,multiply(b,b))))
| multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) = multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))),multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) = multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(b,multiply(a,multiply(b,b)))),multiply(a,multiply(b,multiply(b,multiply(b,b))))) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))),
introduced(tautology,[refl,[$fot(multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))))]]) ).
cnf(refute_0_40,plain,
( multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))
| multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))
| multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))),multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))) ),[1,1],$fot(multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))]]) ).
cnf(refute_0_41,plain,
( multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))
| multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))),multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))),multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))),
inference(subst,[],[refute_0_31:[bind(X,$fot(b)),bind(X_2,$fot(a)),bind(X_4,$fot(multiply(b,multiply(a,multiply(b,b)))))]]) ).
cnf(refute_0_44,plain,
( multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))
| multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))
| multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))))),bind(Y0,$fot(multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))))),bind(Z0,$fot(multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))))]]) ).
cnf(refute_0_45,plain,
( multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))
| multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))),multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))),
inference(resolve,[$cnf( $equal(multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))),multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X)),
inference(subst,[],[condition:[bind(Y,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_48,plain,
multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X)) = multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(multiply(multiply(X_2,X_3),X)))]]) ).
cnf(refute_0_49,plain,
( multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) != multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X))
| multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X)) != multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))
| multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))) ),[0],$fot(multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X)))]]) ).
cnf(refute_0_50,plain,
( multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) != multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X))
| multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X)),multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),multiply(multiply(X_2,X_3),multiply(multiply(X_2,X_3),X))) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(multiply(X_2,X_3),multiply(X_2,X_3)) = multiply(X_2,multiply(X_3,multiply(X_2,X_3))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_53,plain,
multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))))]]) ).
cnf(refute_0_54,plain,
( multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) != multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3)))
| multiply(multiply(X_2,X_3),multiply(X_2,X_3)) != multiply(X_2,multiply(X_3,multiply(X_2,X_3)))
| multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3)))) ),[1,1],$fot(multiply(X_2,multiply(X_3,multiply(X_2,X_3))))]]) ).
cnf(refute_0_55,plain,
( multiply(multiply(X_2,X_3),multiply(X_2,X_3)) != multiply(X_2,multiply(X_3,multiply(X_2,X_3)))
| multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3)))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) = multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),multiply(X_2,X_3)),multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) != multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3))))
| multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) != multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))
| multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) = multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))) ),[0],$fot(multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))))]]) ).
cnf(refute_0_58,plain,
( multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) != multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))
| multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) = multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3))))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
multiply(multiply(X_2,X_3),X) = multiply(X_2,multiply(X_3,X)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(X))]]) ).
cnf(refute_0_60,plain,
multiply(X_3,multiply(multiply(X_2,X_3),X)) = multiply(X_3,multiply(multiply(X_2,X_3),X)),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(multiply(X_2,X_3),X)))]]) ).
cnf(refute_0_61,plain,
( multiply(X_3,multiply(multiply(X_2,X_3),X)) != multiply(X_3,multiply(multiply(X_2,X_3),X))
| multiply(multiply(X_2,X_3),X) != multiply(X_2,multiply(X_3,X))
| multiply(X_3,multiply(multiply(X_2,X_3),X)) = multiply(X_3,multiply(X_2,multiply(X_3,X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(X_2,X_3),X)),multiply(X_3,multiply(multiply(X_2,X_3),X))) ),[1,1],$fot(multiply(X_2,multiply(X_3,X)))]]) ).
cnf(refute_0_62,plain,
( multiply(multiply(X_2,X_3),X) != multiply(X_2,multiply(X_3,X))
| multiply(X_3,multiply(multiply(X_2,X_3),X)) = multiply(X_3,multiply(X_2,multiply(X_3,X))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_2,X_3),X)),multiply(X_3,multiply(multiply(X_2,X_3),X))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(X_3,multiply(multiply(X_2,X_3),X)) = multiply(X_3,multiply(X_2,multiply(X_3,X))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),X),multiply(X_2,multiply(X_3,X))) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) = multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))),
introduced(tautology,[refl,[$fot(multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))))]]) ).
cnf(refute_0_65,plain,
( multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) != multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))
| multiply(X_3,multiply(multiply(X_2,X_3),X)) != multiply(X_3,multiply(X_2,multiply(X_3,X)))
| multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) = multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))),multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))) ),[1,1],$fot(multiply(X_3,multiply(X_2,multiply(X_3,X))))]]) ).
cnf(refute_0_66,plain,
( multiply(X_3,multiply(multiply(X_2,X_3),X)) != multiply(X_3,multiply(X_2,multiply(X_3,X)))
| multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) = multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X)))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))),multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) = multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X)))),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_2,X_3),X)),multiply(X_3,multiply(X_2,multiply(X_3,X)))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) != multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))
| multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))) != multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X))))
| multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) = multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))),multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X))))) ),[0],$fot(multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))))]]) ).
cnf(refute_0_69,plain,
( multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) != multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))
| multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) = multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X)))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X))),multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X))))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))) != multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))
| multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) = multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))),multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))) )],[refute_0_58,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(X,multiply(X_2,multiply(X_3,multiply(X_2,X_3)))) = multiply(X_2,multiply(X_3,multiply(X_2,multiply(X_3,X)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_2,X_3),multiply(X_2,X_3))),multiply(X_2,multiply(X_3,multiply(multiply(X_2,X_3),X)))) )],[refute_0_51,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(b,multiply(a,multiply(b,multiply(a,b)))) = multiply(a,multiply(b,multiply(a,multiply(b,b)))),
inference(subst,[],[refute_0_71:[bind(X,$fot(b)),bind(X_2,$fot(a)),bind(X_3,$fot(b))]]) ).
cnf(refute_0_73,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))),
introduced(tautology,[refl,[$fot(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))]]) ).
cnf(refute_0_74,plain,
( multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) != multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))
| multiply(b,multiply(a,multiply(b,multiply(a,b)))) != multiply(a,multiply(b,multiply(a,multiply(b,b))))
| multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) = multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))),multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) ),[1,1],$fot(multiply(a,multiply(b,multiply(a,multiply(b,b)))))]]) ).
cnf(refute_0_75,plain,
( multiply(b,multiply(a,multiply(b,multiply(a,b)))) != multiply(a,multiply(b,multiply(a,multiply(b,b))))
| multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) = multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))),multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) = multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,multiply(b,multiply(a,b)))),multiply(a,multiply(b,multiply(a,multiply(b,b))))) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))),
introduced(tautology,[refl,[$fot(multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))]]) ).
cnf(refute_0_78,plain,
( multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) != multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))
| multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) != multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))
| multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))),multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) ),[1,1],$fot(multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))]]) ).
cnf(refute_0_79,plain,
( multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) != multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))
| multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))),multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))),multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
( multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))
| multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))
| multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))),bind(Y0,$fot(multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))))),bind(Z0,$fot(multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))))]]) ).
cnf(refute_0_82,plain,
( multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))
| multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))),multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))),multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) )],[refute_0_46,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),
introduced(tautology,[refl,[$fot(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))))]]) ).
cnf(refute_0_85,plain,
( multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))
| multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))
| multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))) ),[1,1],$fot(multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))]]) ).
cnf(refute_0_86,plain,
( multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))
| multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))),multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))
| multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))
| multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))) ),[1],$fot(multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))))]]) ).
cnf(refute_0_89,plain,
( multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))
| multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))) )],[refute_0_89,prove_this]) ).
cnf(refute_0_91,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
introduced(tautology,[refl,[$fot(multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))))]]) ).
cnf(refute_0_92,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))) )],[refute_0_91,refute_0_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP195-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 10:18:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.38
%------------------------------------------------------------------------------