TSTP Solution File: GRP117-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 10:35:34 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 39
% Syntax : Number of clauses : 124 ( 65 unt; 0 nHn; 62 RR)
% Number of literals : 209 ( 208 equ; 87 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 : 320 ( 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,identity) != a ).
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( $equal(multiply(X,multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))))),Y) )],[refute_0_56,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))) = multiply(X_9,identity),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_20)),bind(Y,$fot(multiply(X_9,identity)))]]) ).
cnf(refute_0_104,plain,
multiply(X_9,multiply(identity,identity)) = multiply(multiply(X_9,identity),multiply(identity,identity)),
inference(subst,[],[refute_0_86:[bind(X_11,$fot(multiply(identity,identity)))]]) ).
cnf(refute_0_105,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_106,plain,
multiply(multiply(X_9,identity),multiply(identity,identity)) = multiply(X_9,multiply(identity,identity)),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(identity,identity)),multiply(multiply(X_9,identity),multiply(identity,identity))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))) != multiply(X_9,identity)
| multiply(multiply(X_9,identity),multiply(identity,identity)) != multiply(X_9,multiply(identity,identity))
| multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) = multiply(X_9,identity) ),
introduced(tautology,[equality,[$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_108,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( $equal(multiply(multiply(X_9,identity),multiply(identity,identity)),multiply(X_9,multiply(identity,identity))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) = multiply(X_9,identity),
inference(resolve,[$cnf( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(multiply(X_9,identity),multiply(identity,identity))))),multiply(X_9,identity)) )],[refute_0_103,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) = X_9,
inference(subst,[],[refute_0_102:[bind(X,$fot(X_20)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_111,plain,
( multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) != X_9
| multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))) != multiply(X_9,identity)
| X_9 = multiply(X_9,identity) ),
introduced(tautology,[equality,[$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_112,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( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))),X_9) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
X_9 = multiply(X_9,identity),
inference(resolve,[$cnf( $equal(multiply(X_20,multiply(X_20,multiply(X_20,multiply(X_9,multiply(identity,identity))))),multiply(X_9,identity)) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( X_9 != multiply(X_9,identity)
| multiply(X_9,identity) = X_9 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_9)),bind(Y0,$fot(multiply(X_9,identity)))]]) ).
cnf(refute_0_115,plain,
multiply(X_9,identity) = X_9,
inference(resolve,[$cnf( $equal(X_9,multiply(X_9,identity)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(a,identity) = a,
inference(subst,[],[refute_0_115:[bind(X_9,$fot(a))]]) ).
cnf(refute_0_117,plain,
( multiply(a,identity) != a
| a != a
| multiply(a,identity) = a ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,identity),a) ),[0],$fot(a)]]) ).
cnf(refute_0_118,plain,
( a != a
| multiply(a,identity) = a ),
inference(resolve,[$cnf( $equal(multiply(a,identity),a) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
a != a,
inference(resolve,[$cnf( $equal(multiply(a,identity),a) )],[refute_0_118,prove_order3]) ).
cnf(refute_0_120,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_121,plain,
$false,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_120,refute_0_119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 20:27:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44
% 0.20/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.49
%------------------------------------------------------------------------------