TSTP Solution File: GRP115-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 10:35:32 EDT 2022
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 51
% Syntax : Number of clauses : 174 ( 90 unt; 0 nHn; 86 RR)
% Number of literals : 296 ( 295 equ; 124 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 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 : 405 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y ).
cnf(prove_order3,negated_conjecture,
multiply(a,multiply(a,a)) != identity ).
cnf(refute_0_0,plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),Z)),multiply(identity,multiply(Z,Z)))) = multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2))),
inference(subst,[],[single_axiom:[bind(Y,$fot(multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))))]]) ).
cnf(refute_0_1,plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))) = X_1,
inference(subst,[],[single_axiom:[bind(Y,$fot(X_1)),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
( multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))) != X_1
| multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),Z)),multiply(identity,multiply(Z,Z)))) != multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))
| multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))) = multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),Z)),multiply(identity,multiply(Z,Z)))),multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))) ),[0,1,0,1,0],$fot(X_1)]]) ).
cnf(refute_0_3,plain,
( multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),Z)),multiply(identity,multiply(Z,Z)))) != multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))
| multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))) = multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),X_1) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))) = multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),Z)),multiply(identity,multiply(Z,Z)))),multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_6,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_7,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))) != multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))
| multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2))) = multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))))),bind(Y0,$fot(multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))))]]) ).
cnf(refute_0_9,plain,
multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2))) = multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(X_1,Z)),multiply(identity,multiply(Z,Z)))),multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z))) = multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),
inference(subst,[],[refute_0_9:[bind(X_1,$fot(Y)),bind(X_2,$fot(Z))]]) ).
cnf(refute_0_11,plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))))]]) ).
cnf(refute_0_12,plain,
( multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) != multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z))))
| multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z))) != multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))),multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z))))) ),[1,1],$fot(multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))]]) ).
cnf(refute_0_13,plain,
( multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z))) != multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))),multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z))))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z))),multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
( multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) != Y
| multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) != multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))
| multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))),Y) ),[0],$fot(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))))]]) ).
cnf(refute_0_16,plain,
( multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) != Y
| multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))),multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))),Y) )],[single_axiom,refute_0_16]) ).
cnf(refute_0_18,plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))) = multiply(multiply(X,X_1),X_2),
inference(subst,[],[single_axiom:[bind(Y,$fot(multiply(multiply(X,X_1),X_2))),bind(Z,$fot(multiply(identity,multiply(X_2,X_2))))]]) ).
cnf(refute_0_19,plain,
( multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))) != X_1
| multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))) != multiply(multiply(X,X_1),X_2)
| multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))) = multiply(multiply(X,X_1),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))),multiply(multiply(X,X_1),X_2)) ),[0,1,0],$fot(X_1)]]) ).
cnf(refute_0_20,plain,
( multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))) != multiply(multiply(X,X_1),X_2)
| multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))) = multiply(multiply(X,X_1),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),X_1) )],[refute_0_1,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))) = multiply(multiply(X,X_1),X_2),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(multiply(X,multiply(multiply(X,X_1),X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(identity,multiply(multiply(identity,multiply(X_2,X_2)),multiply(identity,multiply(X_2,X_2)))))),multiply(multiply(X,X_1),X_2)) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))))) = multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))),
inference(subst,[],[refute_0_21:[bind(X_2,$fot(multiply(identity,multiply(X_11,X_11))))]]) ).
cnf(refute_0_23,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11),
inference(subst,[],[refute_0_21:[bind(X,$fot(identity)),bind(X_1,$fot(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))),bind(X_2,$fot(X_11))]]) ).
cnf(refute_0_24,plain,
( multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))))) != multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))
| multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))) != multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)
| multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) = multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))))),multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))) ),[0,1,1],$fot(multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))]]) ).
cnf(refute_0_25,plain,
( multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))))) != multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))
| multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) = multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))),multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) = multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))),multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))))),multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))) = X_11,
inference(subst,[],[refute_0_17:[bind(X,$fot(identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_28,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11),
introduced(tautology,[refl,[$fot(multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))]]) ).
cnf(refute_0_29,plain,
( multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) != multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)
| multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))) != X_11
| multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) = multiply(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11),multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_30,plain,
( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))) != X_11
| multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) = multiply(X_11,X_11) ),
inference(resolve,[$cnf( $equal(multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11),multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) = multiply(X_11,X_11),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) = multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)),
introduced(tautology,[refl,[$fot(multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)))]]) ).
cnf(refute_0_33,plain,
( multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) != multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))
| multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) != multiply(X_11,X_11)
| multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) = multiply(X_1,multiply(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)),multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) ),[1,1],$fot(multiply(X_11,X_11))]]) ).
cnf(refute_0_34,plain,
( multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) != multiply(X_11,X_11)
| multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) = multiply(X_1,multiply(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)),multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) = multiply(X_1,multiply(X_11,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11),multiply(X_11,X_11)) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) = multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))))]]) ).
cnf(refute_0_37,plain,
( multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) != multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)))
| multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) != multiply(X_1,multiply(X_11,X_11))
| multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) = multiply(X,multiply(X_1,multiply(X_11,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))),multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)))) ),[1,1],$fot(multiply(X_1,multiply(X_11,X_11)))]]) ).
cnf(refute_0_38,plain,
( multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)) != multiply(X_1,multiply(X_11,X_11))
| multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) = multiply(X,multiply(X_1,multiply(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))),multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) = multiply(X,multiply(X_1,multiply(X_11,X_11))),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11)),multiply(X_1,multiply(X_11,X_11))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
( multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) != multiply(X,multiply(X_1,multiply(X_11,X_11)))
| multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) != multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))
| multiply(X,multiply(X_1,multiply(X_11,X_11))) = multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))),multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))) ),[0],$fot(multiply(X,multiply(X_1,multiply(X_11,X_11))))]]) ).
cnf(refute_0_41,plain,
( multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))) != multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))
| multiply(X,multiply(X_1,multiply(X_11,X_11))) = multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))),multiply(X,multiply(X_1,multiply(X_11,X_11)))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(X,multiply(X_1,multiply(X_11,X_11))) = multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11))),multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))) )],[refute_0_26,refute_0_41]) ).
cnf(refute_0_43,plain,
( multiply(X,multiply(X_1,multiply(X_11,X_11))) != multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))
| multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))) = multiply(X,multiply(X_1,multiply(X_11,X_11))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,multiply(X_1,multiply(X_11,X_11))))),bind(Y0,$fot(multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))))]]) ).
cnf(refute_0_44,plain,
multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11))) = multiply(X,multiply(X_1,multiply(X_11,X_11))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,multiply(X_11,X_11))),multiply(multiply(X,X_1),multiply(identity,multiply(X_11,X_11)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))) = multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))),
inference(subst,[],[refute_0_44:[bind(X_1,$fot(multiply(Y,Z))),bind(X_11,$fot(Z))]]) ).
cnf(refute_0_46,plain,
multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))]]) ).
cnf(refute_0_47,plain,
( multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) != multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))) != multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))
| multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) ),[1,1],$fot(multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))]]) ).
cnf(refute_0_48,plain,
( multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))) != multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))
| multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))),multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))))]]) ).
cnf(refute_0_51,plain,
( multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) != multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))
| multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) != multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))
| multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))) ),[1,1],$fot(multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))))]]) ).
cnf(refute_0_52,plain,
( multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) != multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))
| multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) != Y
| multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) != multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))))
| multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),Y) ),[0],$fot(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))))]]) ).
cnf(refute_0_55,plain,
( multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) != Y
| multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),Y) )],[refute_0_17,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))),X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))),
inference(subst,[],[single_axiom:[bind(X,$fot(X_0)),bind(Y,$fot(multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_58,plain,
multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference(subst,[],[single_axiom:[bind(X,$fot(X_0))]]) ).
cnf(refute_0_59,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))) != Y
| multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))),X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))),X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))) ),[0,1,0,1,0],$fot(Y)]]) ).
cnf(refute_0_60,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))),X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))),Y) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))),X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_0)),bind(X_1,$fot(Y)),bind(X_2,$fot(Z))]]) ).
cnf(refute_0_63,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))
| multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) ),[0],$fot(multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))))]]) ).
cnf(refute_0_64,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z))),multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(multiply(X_0,multiply(multiply(X_0,Y),Z)),multiply(identity,multiply(Z,Z)))) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2))) = multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2))),
inference(subst,[],[refute_0_44:[bind(X,$fot(X_0)),bind(X_1,$fot(multiply(Y,X_2))),bind(X_11,$fot(X_2))]]) ).
cnf(refute_0_67,plain,
multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),
introduced(tautology,[refl,[$fot(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))))]]) ).
cnf(refute_0_68,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2))))
| multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2))) != multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2))))) ),[1,1],$fot(multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2))))]]) ).
cnf(refute_0_69,plain,
( multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2))) != multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2))))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2))),multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2))))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) ),[0],$fot(multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))))]]) ).
cnf(refute_0_72,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2))))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))) = multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z))),
inference(subst,[],[refute_0_44:[bind(X,$fot(X_0)),bind(X_1,$fot(multiply(Y,Z))),bind(X_11,$fot(Z))]]) ).
cnf(refute_0_74,plain,
multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),
introduced(tautology,[refl,[$fot(multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))]]) ).
cnf(refute_0_75,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))) != multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) ),[1,1],$fot(multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z))))]]) ).
cnf(refute_0_76,plain,
( multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))) != multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))),multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
( multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) != multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z))))
| multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))),multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z))))) ),[0],$fot(multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))))]]) ).
cnf(refute_0_79,plain,
( multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z))))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))) != multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))
| multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) )],[refute_0_72,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(X_0,multiply(X_0,multiply(multiply(Y,X_2),multiply(X_2,X_2)))) = multiply(X_0,multiply(X_0,multiply(multiply(Y,Z),multiply(Z,Z)))),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(multiply(X_0,multiply(Y,X_2)),multiply(identity,multiply(X_2,X_2)))),multiply(X_0,multiply(multiply(X_0,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) )],[refute_0_65,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(X_16,multiply(X_16,multiply(multiply(X_14,identity),multiply(identity,identity)))) = multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15)))),
inference(subst,[],[refute_0_81:[bind(Y,$fot(X_14)),bind(Z,$fot(X_15)),bind(X_0,$fot(X_16)),bind(X_2,$fot(identity))]]) ).
cnf(refute_0_83,plain,
multiply(X_9,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))) = multiply(multiply(X_9,identity),X_11),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_9)),bind(X_1,$fot(identity)),bind(X_2,$fot(X_11))]]) ).
cnf(refute_0_84,plain,
( multiply(X_9,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))) != multiply(multiply(X_9,identity),X_11)
| multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))) != X_11
| multiply(X_9,X_11) = multiply(multiply(X_9,identity),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))),multiply(multiply(X_9,identity),X_11)) ),[0,1],$fot(X_11)]]) ).
cnf(refute_0_85,plain,
( multiply(X_9,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))) != multiply(multiply(X_9,identity),X_11)
| multiply(X_9,X_11) = multiply(multiply(X_9,identity),X_11) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11))))),X_11) )],[refute_0_27,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(X_9,X_11) = multiply(multiply(X_9,identity),X_11),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X_11,X_11)),multiply(identity,multiply(X_11,X_11)))))),multiply(multiply(X_9,identity),X_11)) )],[refute_0_83,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(X_14,multiply(identity,identity)) = multiply(multiply(X_14,identity),multiply(identity,identity)),
inference(subst,[],[refute_0_86:[bind(X_11,$fot(multiply(identity,identity))),bind(X_9,$fot(X_14))]]) ).
cnf(refute_0_88,plain,
( multiply(X_14,multiply(identity,identity)) != multiply(multiply(X_14,identity),multiply(identity,identity))
| multiply(multiply(X_14,identity),multiply(identity,identity)) = multiply(X_14,multiply(identity,identity)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_14,multiply(identity,identity)))),bind(Y0,$fot(multiply(multiply(X_14,identity),multiply(identity,identity))))]]) ).
cnf(refute_0_89,plain,
multiply(multiply(X_14,identity),multiply(identity,identity)) = multiply(X_14,multiply(identity,identity)),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(identity,identity)),multiply(multiply(X_14,identity),multiply(identity,identity))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( multiply(X_16,multiply(X_16,multiply(multiply(X_14,identity),multiply(identity,identity)))) != multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15))))
| multiply(multiply(X_14,identity),multiply(identity,identity)) != multiply(X_14,multiply(identity,identity))
| multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))) = multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_16,multiply(X_16,multiply(multiply(X_14,identity),multiply(identity,identity)))),multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15))))) ),[0,1,1],$fot(multiply(X_14,multiply(identity,identity)))]]) ).
cnf(refute_0_91,plain,
( multiply(X_16,multiply(X_16,multiply(multiply(X_14,identity),multiply(identity,identity)))) != multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15))))
| multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))) = multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,identity),multiply(identity,identity)),multiply(X_14,multiply(identity,identity))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))) = multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15)))),
inference(resolve,[$cnf( $equal(multiply(X_16,multiply(X_16,multiply(multiply(X_14,identity),multiply(identity,identity)))),multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15))))) )],[refute_0_82,refute_0_91]) ).
cnf(refute_0_93,plain,
( multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))) != multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15))))
| multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15)))) = multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))))),bind(Y0,$fot(multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15))))))]]) ).
cnf(refute_0_94,plain,
multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15)))) = multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))),
inference(resolve,[$cnf( $equal(multiply(X_16,multiply(X_16,multiply(X_14,multiply(identity,identity)))),multiply(X_16,multiply(X_16,multiply(multiply(X_14,X_15),multiply(X_15,X_15))))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))) = multiply(X,multiply(X,multiply(Y,multiply(identity,identity)))),
inference(subst,[],[refute_0_94:[bind(X_14,$fot(Y)),bind(X_15,$fot(Z)),bind(X_16,$fot(X))]]) ).
cnf(refute_0_96,plain,
multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) = multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))))]]) ).
cnf(refute_0_97,plain,
( multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) != multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))))
| multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))) != multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))
| multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) = multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))))) ),[1,1],$fot(multiply(X,multiply(X,multiply(Y,multiply(identity,identity)))))]]) ).
cnf(refute_0_98,plain,
( multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))) != multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))
| multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) = multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) = multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))),multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
( multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) != Y
| multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) != multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity)))))
| multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),Y) ),[0],$fot(multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))))]]) ).
cnf(refute_0_101,plain,
( multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))) != Y
| multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity)))))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(X,multiply(X,multiply(X,multiply(Y,multiply(identity,identity))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),Y) )],[refute_0_56,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))))) = X_21,
inference(subst,[],[refute_0_102:[bind(X,$fot(multiply(X_9,identity))),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_104,plain,
multiply(X_9,multiply(X_21,multiply(identity,identity))) = multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))),
inference(subst,[],[refute_0_86:[bind(X_11,$fot(multiply(X_21,multiply(identity,identity))))]]) ).
cnf(refute_0_105,plain,
( multiply(X_9,multiply(X_21,multiply(identity,identity))) != multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity)))
| multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))) = multiply(X_9,multiply(X_21,multiply(identity,identity))) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_9,multiply(X_21,multiply(identity,identity))))),bind(Y0,$fot(multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity)))))]]) ).
cnf(refute_0_106,plain,
multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))) = multiply(X_9,multiply(X_21,multiply(identity,identity))),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_21,multiply(identity,identity))),multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))) != multiply(X_9,multiply(X_21,multiply(identity,identity)))
| multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))))) != X_21
| multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))))),X_21) ),[0,1,1],$fot(multiply(X_9,multiply(X_21,multiply(identity,identity))))]]) ).
cnf(refute_0_108,plain,
( multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))))) != X_21
| multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))),multiply(X_9,multiply(X_21,multiply(identity,identity)))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = X_21,
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_21,multiply(identity,identity))))),X_21) )],[refute_0_103,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))) = multiply(X_9,identity),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_20)),bind(Y,$fot(multiply(X_9,identity)))]]) ).
cnf(refute_0_111,plain,
multiply(X_9,multiply(identity,identity)) = multiply(multiply(X_9,identity),multiply(identity,identity)),
inference(subst,[],[refute_0_86:[bind(X_11,$fot(multiply(identity,identity)))]]) ).
cnf(refute_0_112,plain,
( multiply(X_9,multiply(identity,identity)) != multiply(multiply(X_9,identity),multiply(identity,identity))
| multiply(multiply(X_9,identity),multiply(identity,identity)) = multiply(X_9,multiply(identity,identity)) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_9,multiply(identity,identity)))),bind(Y0,$fot(multiply(multiply(X_9,identity),multiply(identity,identity))))]]) ).
cnf(refute_0_113,plain,
multiply(multiply(X_9,identity),multiply(identity,identity)) = multiply(X_9,multiply(identity,identity)),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(identity,identity)),multiply(multiply(X_9,identity),multiply(identity,identity))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))) != multiply(X_9,identity)
| multiply(multiply(X_9,identity),multiply(identity,identity)) != multiply(X_9,multiply(identity,identity))
| multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) = multiply(X_9,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))),multiply(X_9,identity)) ),[0,1,1,1],$fot(multiply(X_9,multiply(identity,identity)))]]) ).
cnf(refute_0_115,plain,
( multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))) != multiply(X_9,identity)
| multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) = multiply(X_9,identity) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(identity,identity)),multiply(X_9,multiply(identity,identity))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) = multiply(X_9,identity),
inference(resolve,[$cnf( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))),multiply(X_9,identity)) )],[refute_0_110,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) = X_9,
inference(subst,[],[refute_0_102:[bind(X,$fot(X_20)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_118,plain,
( multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) != X_9
| multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) != multiply(X_9,identity)
| X_9 = multiply(X_9,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))),multiply(X_9,identity)) ),[0],$fot(X_9)]]) ).
cnf(refute_0_119,plain,
( multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) != multiply(X_9,identity)
| X_9 = multiply(X_9,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))),X_9) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
X_9 = multiply(X_9,identity),
inference(resolve,[$cnf( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))),multiply(X_9,identity)) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
( X_9 != multiply(X_9,identity)
| multiply(X_9,identity) = X_9 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_9)),bind(Y0,$fot(multiply(X_9,identity)))]]) ).
cnf(refute_0_122,plain,
multiply(X_9,identity) = X_9,
inference(resolve,[$cnf( $equal(X_9,multiply(X_9,identity)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(X_21,identity) = X_21,
inference(subst,[],[refute_0_122:[bind(X_9,$fot(X_21))]]) ).
cnf(refute_0_124,plain,
multiply(identity,identity) = identity,
inference(subst,[],[refute_0_122:[bind(X_9,$fot(identity))]]) ).
cnf(refute_0_125,plain,
multiply(X_21,multiply(identity,identity)) = multiply(X_21,multiply(identity,identity)),
introduced(tautology,[refl,[$fot(multiply(X_21,multiply(identity,identity)))]]) ).
cnf(refute_0_126,plain,
( multiply(X_21,multiply(identity,identity)) != multiply(X_21,multiply(identity,identity))
| multiply(identity,identity) != identity
| multiply(X_21,multiply(identity,identity)) = multiply(X_21,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,multiply(identity,identity)),multiply(X_21,multiply(identity,identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_127,plain,
( multiply(identity,identity) != identity
| multiply(X_21,multiply(identity,identity)) = multiply(X_21,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(identity,identity)),multiply(X_21,multiply(identity,identity))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
multiply(X_21,multiply(identity,identity)) = multiply(X_21,identity),
inference(resolve,[$cnf( $equal(multiply(identity,identity),identity) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_130,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_7,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(X_21,multiply(identity,identity)) != multiply(X_21,identity)
| multiply(X_21,identity) != X_21
| multiply(X_21,multiply(identity,identity)) = X_21 ),
inference(subst,[],[refute_0_130:[bind(X0,$fot(multiply(X_21,multiply(identity,identity)))),bind(Y0,$fot(multiply(X_21,identity))),bind(Z0,$fot(X_21))]]) ).
cnf(refute_0_132,plain,
( multiply(X_21,identity) != X_21
| multiply(X_21,multiply(identity,identity)) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(identity,identity)),multiply(X_21,identity)) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(X_21,multiply(identity,identity)) = X_21,
inference(resolve,[$cnf( $equal(multiply(X_21,identity),X_21) )],[refute_0_123,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(X_9,multiply(X_21,multiply(identity,identity))) = multiply(X_9,multiply(X_21,multiply(identity,identity))),
introduced(tautology,[refl,[$fot(multiply(X_9,multiply(X_21,multiply(identity,identity))))]]) ).
cnf(refute_0_135,plain,
( multiply(X_21,multiply(identity,identity)) != X_21
| multiply(X_9,multiply(X_21,multiply(identity,identity))) != multiply(X_9,multiply(X_21,multiply(identity,identity)))
| multiply(X_9,multiply(X_21,multiply(identity,identity))) = multiply(X_9,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(X_21,multiply(identity,identity))),multiply(X_9,multiply(X_21,multiply(identity,identity)))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_136,plain,
( multiply(X_21,multiply(identity,identity)) != X_21
| multiply(X_9,multiply(X_21,multiply(identity,identity))) = multiply(X_9,X_21) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_21,multiply(identity,identity))),multiply(X_9,multiply(X_21,multiply(identity,identity)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(X_9,multiply(X_21,multiply(identity,identity))) = multiply(X_9,X_21),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(identity,identity)),X_21) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))),
introduced(tautology,[refl,[$fot(multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))))]]) ).
cnf(refute_0_139,plain,
( multiply(X_9,multiply(X_21,multiply(identity,identity))) != multiply(X_9,X_21)
| multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))) != multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity))))
| multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))),multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity))))) ),[1,1],$fot(multiply(X_9,X_21))]]) ).
cnf(refute_0_140,plain,
( multiply(X_9,multiply(X_21,multiply(identity,identity))) != multiply(X_9,X_21)
| multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,X_21)) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))),multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity))))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,X_21)),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_21,multiply(identity,identity))),multiply(X_9,X_21)) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( multiply(X_9,X_11) != multiply(multiply(X_9,identity),X_11)
| multiply(multiply(X_9,identity),X_11) = multiply(X_9,X_11) ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_9,X_11))),bind(Y0,$fot(multiply(multiply(X_9,identity),X_11)))]]) ).
cnf(refute_0_143,plain,
multiply(multiply(X_9,identity),X_11) = multiply(X_9,X_11),
inference(resolve,[$cnf( $equal(multiply(X_9,X_11),multiply(multiply(X_9,identity),X_11)) )],[refute_0_86,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))),
inference(subst,[],[refute_0_143:[bind(X_11,$fot(multiply(X_9,multiply(X_21,multiply(identity,identity)))))]]) ).
cnf(refute_0_145,plain,
( multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))) != multiply(X_9,multiply(X_9,X_21))
| multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))) != multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity))))
| multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,X_21)) ),
inference(subst,[],[refute_0_130:[bind(X0,$fot(multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))))),bind(Y0,$fot(multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))))),bind(Z0,$fot(multiply(X_9,multiply(X_9,X_21))))]]) ).
cnf(refute_0_146,plain,
( multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))) != multiply(X_9,multiply(X_9,X_21))
| multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,X_21)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))),multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity))))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))) = multiply(X_9,multiply(X_9,X_21)),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_9,multiply(X_21,multiply(identity,identity)))),multiply(X_9,multiply(X_9,X_21))) )],[refute_0_141,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),
introduced(tautology,[refl,[$fot(multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))))]]) ).
cnf(refute_0_149,plain,
( multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) != multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))))
| multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))) != multiply(X_9,multiply(X_9,X_21))
| multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(X_9,multiply(X_9,X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))))) ),[1,1],$fot(multiply(X_9,multiply(X_9,X_21)))]]) ).
cnf(refute_0_150,plain,
( multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))) != multiply(X_9,multiply(X_9,X_21))
| multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(X_9,multiply(X_9,X_21))) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(X_9,multiply(X_9,X_21))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))),multiply(X_9,multiply(X_9,X_21))) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),
inference(subst,[],[refute_0_143:[bind(X_11,$fot(multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))))]]) ).
cnf(refute_0_153,plain,
( multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) != multiply(X_9,multiply(X_9,multiply(X_9,X_21)))
| multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) != multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))))
| multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(X_9,multiply(X_9,X_21))) ),
inference(subst,[],[refute_0_130:[bind(X0,$fot(multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))))),bind(Y0,$fot(multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))))),bind(Z0,$fot(multiply(X_9,multiply(X_9,multiply(X_9,X_21)))))]]) ).
cnf(refute_0_154,plain,
( multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) != multiply(X_9,multiply(X_9,multiply(X_9,X_21)))
| multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(X_9,multiply(X_9,X_21))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity)))))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) = multiply(X_9,multiply(X_9,multiply(X_9,X_21))),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),multiply(X_9,multiply(X_9,multiply(X_9,X_21)))) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
( multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) != X_21
| multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) != multiply(X_9,multiply(X_9,multiply(X_9,X_21)))
| multiply(X_9,multiply(X_9,multiply(X_9,X_21))) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),X_21) ),[0],$fot(multiply(X_9,multiply(X_9,multiply(X_9,X_21))))]]) ).
cnf(refute_0_157,plain,
( multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))) != X_21
| multiply(X_9,multiply(X_9,multiply(X_9,X_21))) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),multiply(X_9,multiply(X_9,multiply(X_9,X_21)))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(X_9,multiply(X_9,multiply(X_9,X_21))) = X_21,
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,identity),multiply(multiply(X_9,identity),multiply(X_9,multiply(X_21,multiply(identity,identity))))),X_21) )],[refute_0_109,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(X_24,multiply(X_24,multiply(X_24,identity))) = identity,
inference(subst,[],[refute_0_158:[bind(X_21,$fot(identity)),bind(X_9,$fot(X_24))]]) ).
cnf(refute_0_160,plain,
X_24 = multiply(X_24,identity),
inference(subst,[],[refute_0_120:[bind(X_9,$fot(X_24))]]) ).
cnf(refute_0_161,plain,
( X_24 != multiply(X_24,identity)
| multiply(X_24,identity) = X_24 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_24)),bind(Y0,$fot(multiply(X_24,identity)))]]) ).
cnf(refute_0_162,plain,
multiply(X_24,identity) = X_24,
inference(resolve,[$cnf( $equal(X_24,multiply(X_24,identity)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( multiply(X_24,multiply(X_24,multiply(X_24,identity))) != identity
| multiply(X_24,identity) != X_24
| multiply(X_24,multiply(X_24,X_24)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,multiply(X_24,multiply(X_24,identity))),identity) ),[0,1,1],$fot(X_24)]]) ).
cnf(refute_0_164,plain,
( multiply(X_24,multiply(X_24,multiply(X_24,identity))) != identity
| multiply(X_24,multiply(X_24,X_24)) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_24,identity),X_24) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(X_24,multiply(X_24,X_24)) = identity,
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(X_24,multiply(X_24,identity))),identity) )],[refute_0_159,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(a,multiply(a,a)) = identity,
inference(subst,[],[refute_0_165:[bind(X_24,$fot(a))]]) ).
cnf(refute_0_167,plain,
( multiply(a,multiply(a,a)) != identity
| identity != identity
| multiply(a,multiply(a,a)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,multiply(a,a)),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_168,plain,
( identity != identity
| multiply(a,multiply(a,a)) = identity ),
inference(resolve,[$cnf( $equal(multiply(a,multiply(a,a)),identity) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
identity != identity,
inference(resolve,[$cnf( $equal(multiply(a,multiply(a,a)),identity) )],[refute_0_168,prove_order3]) ).
cnf(refute_0_170,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_171,plain,
$false,
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_170,refute_0_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n023.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 : Mon Jun 13 09:59:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.46
%------------------------------------------------------------------------------