TSTP Solution File: GRP731-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 10:50:34 EDT 2022
% Result : Unsatisfiable 2.88s 3.04s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 113
% Syntax : Number of clauses : 441 ( 231 unt; 0 nHn; 216 RR)
% Number of literals : 746 ( 745 equ; 307 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 855 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(unit,A) = A ).
cnf(c02,axiom,
mult(A,unit) = A ).
cnf(c03,axiom,
mult(A,i(A)) = unit ).
cnf(c04,axiom,
mult(i(A),A) = unit ).
cnf(c05,axiom,
i(mult(A,B)) = mult(i(A),i(B)) ).
cnf(c06,axiom,
mult(i(A),mult(A,B)) = B ).
cnf(c07,axiom,
rd(mult(A,B),B) = A ).
cnf(c08,axiom,
mult(rd(A,B),B) = A ).
cnf(c10,axiom,
mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)) ).
cnf(c11,axiom,
mult(A,B) = mult(mult(B,A),op_k(A,B)) ).
cnf(c14,axiom,
op_t(A,B) = mult(i(B),mult(A,B)) ).
cnf(c21,axiom,
asoc(asoc(A,B,C),D,E) = unit ).
cnf(c22,axiom,
asoc(A,B,asoc(C,D,E)) = unit ).
cnf(goals,negated_conjecture,
op_k(asoc(a,b,c),d) != unit ).
cnf(refute_0_0,plain,
asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))) = unit,
inference(subst,[],[c21:[bind(E,$fot(i(mult(D,asoc(A,B,C)))))]]) ).
cnf(refute_0_1,plain,
mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) = mult(mult(mult(i(X_120),X_38),mult(X_120,i(X_38))),asoc(mult(i(X_120),X_38),X_120,i(X_38))),
inference(subst,[],[c10:[bind(A,$fot(mult(i(X_120),X_38))),bind(B,$fot(X_120)),bind(C,$fot(i(X_38)))]]) ).
cnf(refute_0_2,plain,
mult(i(mult(X_37,i(X_38))),mult(X_37,i(X_38))) = unit,
inference(subst,[],[c04:[bind(A,$fot(mult(X_37,i(X_38))))]]) ).
cnf(refute_0_3,plain,
i(mult(X_24,i(X_6))) = mult(i(X_24),i(i(X_6))),
inference(subst,[],[c05:[bind(A,$fot(X_24)),bind(B,$fot(i(X_6)))]]) ).
cnf(refute_0_4,plain,
rd(mult(X_6,i(X_6)),i(X_6)) = X_6,
inference(subst,[],[c07:[bind(A,$fot(X_6)),bind(B,$fot(i(X_6)))]]) ).
cnf(refute_0_5,plain,
mult(X_6,i(X_6)) = unit,
inference(subst,[],[c03:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_6,plain,
( mult(X_6,i(X_6)) != unit
| rd(mult(X_6,i(X_6)),i(X_6)) != X_6
| rd(unit,i(X_6)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_6,i(X_6)),i(X_6)),X_6) ),[0,0],$fot(unit)]]) ).
cnf(refute_0_7,plain,
( rd(mult(X_6,i(X_6)),i(X_6)) != X_6
| rd(unit,i(X_6)) = X_6 ),
inference(resolve,[$cnf( $equal(mult(X_6,i(X_6)),unit) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
rd(unit,i(X_6)) = X_6,
inference(resolve,[$cnf( $equal(rd(mult(X_6,i(X_6)),i(X_6)),X_6) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
rd(mult(i(X_7),X_7),X_7) = i(X_7),
inference(subst,[],[c07:[bind(A,$fot(i(X_7))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_10,plain,
mult(i(X_7),X_7) = unit,
inference(subst,[],[c04:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_11,plain,
( mult(i(X_7),X_7) != unit
| rd(mult(i(X_7),X_7),X_7) != i(X_7)
| rd(unit,X_7) = i(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(X_7),X_7),X_7),i(X_7)) ),[0,0],$fot(unit)]]) ).
cnf(refute_0_12,plain,
( rd(mult(i(X_7),X_7),X_7) != i(X_7)
| rd(unit,X_7) = i(X_7) ),
inference(resolve,[$cnf( $equal(mult(i(X_7),X_7),unit) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
rd(unit,X_7) = i(X_7),
inference(resolve,[$cnf( $equal(rd(mult(i(X_7),X_7),X_7),i(X_7)) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
rd(unit,i(X_6)) = i(i(X_6)),
inference(subst,[],[refute_0_13:[bind(X_7,$fot(i(X_6)))]]) ).
cnf(refute_0_15,plain,
( rd(unit,i(X_6)) != X_6
| rd(unit,i(X_6)) != i(i(X_6))
| i(i(X_6)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(rd(unit,i(X_6)),X_6) ),[0],$fot(i(i(X_6)))]]) ).
cnf(refute_0_16,plain,
( rd(unit,i(X_6)) != X_6
| i(i(X_6)) = X_6 ),
inference(resolve,[$cnf( $equal(rd(unit,i(X_6)),i(i(X_6))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
i(i(X_6)) = X_6,
inference(resolve,[$cnf( $equal(rd(unit,i(X_6)),X_6) )],[refute_0_8,refute_0_16]) ).
cnf(refute_0_18,plain,
( i(i(X_6)) != X_6
| i(mult(X_24,i(X_6))) != mult(i(X_24),i(i(X_6)))
| i(mult(X_24,i(X_6))) = mult(i(X_24),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(X_24,i(X_6))),mult(i(X_24),i(i(X_6)))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_19,plain,
( i(mult(X_24,i(X_6))) != mult(i(X_24),i(i(X_6)))
| i(mult(X_24,i(X_6))) = mult(i(X_24),X_6) ),
inference(resolve,[$cnf( $equal(i(i(X_6)),X_6) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
i(mult(X_24,i(X_6))) = mult(i(X_24),X_6),
inference(resolve,[$cnf( $equal(i(mult(X_24,i(X_6))),mult(i(X_24),i(i(X_6)))) )],[refute_0_3,refute_0_19]) ).
cnf(refute_0_21,plain,
i(mult(X_37,i(X_38))) = mult(i(X_37),X_38),
inference(subst,[],[refute_0_20:[bind(X_24,$fot(X_37)),bind(X_6,$fot(X_38))]]) ).
cnf(refute_0_22,plain,
( i(mult(X_37,i(X_38))) != mult(i(X_37),X_38)
| mult(i(mult(X_37,i(X_38))),mult(X_37,i(X_38))) != unit
| mult(mult(i(X_37),X_38),mult(X_37,i(X_38))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_37,i(X_38))),mult(X_37,i(X_38))),unit) ),[0,0],$fot(mult(i(X_37),X_38))]]) ).
cnf(refute_0_23,plain,
( mult(i(mult(X_37,i(X_38))),mult(X_37,i(X_38))) != unit
| mult(mult(i(X_37),X_38),mult(X_37,i(X_38))) = unit ),
inference(resolve,[$cnf( $equal(i(mult(X_37,i(X_38))),mult(i(X_37),X_38)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
mult(mult(i(X_37),X_38),mult(X_37,i(X_38))) = unit,
inference(resolve,[$cnf( $equal(mult(i(mult(X_37,i(X_38))),mult(X_37,i(X_38))),unit) )],[refute_0_2,refute_0_23]) ).
cnf(refute_0_25,plain,
mult(mult(i(X_120),X_38),mult(X_120,i(X_38))) = unit,
inference(subst,[],[refute_0_24:[bind(X_37,$fot(X_120))]]) ).
cnf(refute_0_26,plain,
( mult(mult(i(X_120),X_38),mult(X_120,i(X_38))) != unit
| mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) != mult(mult(mult(i(X_120),X_38),mult(X_120,i(X_38))),asoc(mult(i(X_120),X_38),X_120,i(X_38)))
| mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) = mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(i(X_120),X_38),X_120),i(X_38)),mult(mult(mult(i(X_120),X_38),mult(X_120,i(X_38))),asoc(mult(i(X_120),X_38),X_120,i(X_38)))) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_27,plain,
( mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) != mult(mult(mult(i(X_120),X_38),mult(X_120,i(X_38))),asoc(mult(i(X_120),X_38),X_120,i(X_38)))
| mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) = mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))) ),
inference(resolve,[$cnf( $equal(mult(mult(i(X_120),X_38),mult(X_120,i(X_38))),unit) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) = mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))),
inference(resolve,[$cnf( $equal(mult(mult(mult(i(X_120),X_38),X_120),i(X_38)),mult(mult(mult(i(X_120),X_38),mult(X_120,i(X_38))),asoc(mult(i(X_120),X_38),X_120,i(X_38)))) )],[refute_0_1,refute_0_27]) ).
cnf(refute_0_29,plain,
mult(i(i(X_9)),mult(i(X_9),B)) = B,
inference(subst,[],[c06:[bind(A,$fot(i(X_9)))]]) ).
cnf(refute_0_30,plain,
i(i(X_9)) = X_9,
inference(subst,[],[refute_0_17:[bind(X_6,$fot(X_9))]]) ).
cnf(refute_0_31,plain,
( i(i(X_9)) != X_9
| mult(i(i(X_9)),mult(i(X_9),B)) != B
| mult(X_9,mult(i(X_9),B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),B)),B) ),[0,0],$fot(X_9)]]) ).
cnf(refute_0_32,plain,
( mult(i(i(X_9)),mult(i(X_9),B)) != B
| mult(X_9,mult(i(X_9),B)) = B ),
inference(resolve,[$cnf( $equal(i(i(X_9)),X_9) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
mult(X_9,mult(i(X_9),B)) = B,
inference(resolve,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),B)),B) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
mult(X_9,mult(i(X_9),i(X_25))) = i(X_25),
inference(subst,[],[refute_0_33:[bind(B,$fot(i(X_25)))]]) ).
cnf(refute_0_35,plain,
i(mult(X_9,X_25)) = mult(i(X_9),i(X_25)),
inference(subst,[],[c05:[bind(A,$fot(X_9)),bind(B,$fot(X_25))]]) ).
cnf(refute_0_36,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_37,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_38,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( i(mult(X_9,X_25)) != mult(i(X_9),i(X_25))
| mult(i(X_9),i(X_25)) = i(mult(X_9,X_25)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(mult(X_9,X_25)))),bind(Y,$fot(mult(i(X_9),i(X_25))))]]) ).
cnf(refute_0_40,plain,
mult(i(X_9),i(X_25)) = i(mult(X_9,X_25)),
inference(resolve,[$cnf( $equal(i(mult(X_9,X_25)),mult(i(X_9),i(X_25))) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
( mult(X_9,mult(i(X_9),i(X_25))) != i(X_25)
| mult(i(X_9),i(X_25)) != i(mult(X_9,X_25))
| mult(X_9,i(mult(X_9,X_25))) = i(X_25) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_9,mult(i(X_9),i(X_25))),i(X_25)) ),[0,1],$fot(i(mult(X_9,X_25)))]]) ).
cnf(refute_0_42,plain,
( mult(X_9,mult(i(X_9),i(X_25))) != i(X_25)
| mult(X_9,i(mult(X_9,X_25))) = i(X_25) ),
inference(resolve,[$cnf( $equal(mult(i(X_9),i(X_25)),i(mult(X_9,X_25))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
mult(X_9,i(mult(X_9,X_25))) = i(X_25),
inference(resolve,[$cnf( $equal(mult(X_9,mult(i(X_9),i(X_25))),i(X_25)) )],[refute_0_34,refute_0_42]) ).
cnf(refute_0_44,plain,
mult(mult(X_42,X_41),i(mult(mult(X_42,X_41),op_k(X_41,X_42)))) = i(op_k(X_41,X_42)),
inference(subst,[],[refute_0_43:[bind(X_25,$fot(op_k(X_41,X_42))),bind(X_9,$fot(mult(X_42,X_41)))]]) ).
cnf(refute_0_45,plain,
mult(X_41,X_42) = mult(mult(X_42,X_41),op_k(X_41,X_42)),
inference(subst,[],[c11:[bind(A,$fot(X_41)),bind(B,$fot(X_42))]]) ).
cnf(refute_0_46,plain,
( mult(X_41,X_42) != mult(mult(X_42,X_41),op_k(X_41,X_42))
| mult(mult(X_42,X_41),op_k(X_41,X_42)) = mult(X_41,X_42) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(mult(X_41,X_42))),bind(Y,$fot(mult(mult(X_42,X_41),op_k(X_41,X_42))))]]) ).
cnf(refute_0_47,plain,
mult(mult(X_42,X_41),op_k(X_41,X_42)) = mult(X_41,X_42),
inference(resolve,[$cnf( $equal(mult(X_41,X_42),mult(mult(X_42,X_41),op_k(X_41,X_42))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( mult(mult(X_42,X_41),i(mult(mult(X_42,X_41),op_k(X_41,X_42)))) != i(op_k(X_41,X_42))
| mult(mult(X_42,X_41),op_k(X_41,X_42)) != mult(X_41,X_42)
| mult(mult(X_42,X_41),i(mult(X_41,X_42))) = i(op_k(X_41,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_42,X_41),i(mult(mult(X_42,X_41),op_k(X_41,X_42)))),i(op_k(X_41,X_42))) ),[0,1,0],$fot(mult(X_41,X_42))]]) ).
cnf(refute_0_49,plain,
( mult(mult(X_42,X_41),i(mult(mult(X_42,X_41),op_k(X_41,X_42)))) != i(op_k(X_41,X_42))
| mult(mult(X_42,X_41),i(mult(X_41,X_42))) = i(op_k(X_41,X_42)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_42,X_41),op_k(X_41,X_42)),mult(X_41,X_42)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
mult(mult(X_42,X_41),i(mult(X_41,X_42))) = i(op_k(X_41,X_42)),
inference(resolve,[$cnf( $equal(mult(mult(X_42,X_41),i(mult(mult(X_42,X_41),op_k(X_41,X_42)))),i(op_k(X_41,X_42))) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
mult(mult(mult(i(X_73),B),X_73),i(mult(X_73,mult(i(X_73),B)))) = i(op_k(X_73,mult(i(X_73),B))),
inference(subst,[],[refute_0_50:[bind(X_41,$fot(X_73)),bind(X_42,$fot(mult(i(X_73),B)))]]) ).
cnf(refute_0_52,plain,
mult(X_73,mult(i(X_73),B)) = B,
inference(subst,[],[refute_0_33:[bind(X_9,$fot(X_73))]]) ).
cnf(refute_0_53,plain,
( mult(X_73,mult(i(X_73),B)) != B
| mult(mult(mult(i(X_73),B),X_73),i(mult(X_73,mult(i(X_73),B)))) != i(op_k(X_73,mult(i(X_73),B)))
| mult(mult(mult(i(X_73),B),X_73),i(B)) = i(op_k(X_73,mult(i(X_73),B))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(i(X_73),B),X_73),i(mult(X_73,mult(i(X_73),B)))),i(op_k(X_73,mult(i(X_73),B)))) ),[0,1,0],$fot(B)]]) ).
cnf(refute_0_54,plain,
( mult(mult(mult(i(X_73),B),X_73),i(mult(X_73,mult(i(X_73),B)))) != i(op_k(X_73,mult(i(X_73),B)))
| mult(mult(mult(i(X_73),B),X_73),i(B)) = i(op_k(X_73,mult(i(X_73),B))) ),
inference(resolve,[$cnf( $equal(mult(X_73,mult(i(X_73),B)),B) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
mult(mult(mult(i(X_73),B),X_73),i(B)) = i(op_k(X_73,mult(i(X_73),B))),
inference(resolve,[$cnf( $equal(mult(mult(mult(i(X_73),B),X_73),i(mult(X_73,mult(i(X_73),B)))),i(op_k(X_73,mult(i(X_73),B)))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) = i(op_k(X_120,mult(i(X_120),X_38))),
inference(subst,[],[refute_0_55:[bind(B,$fot(X_38)),bind(X_73,$fot(X_120))]]) ).
cnf(refute_0_57,plain,
( mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) != i(op_k(X_120,mult(i(X_120),X_38)))
| mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) != mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))
| i(op_k(X_120,mult(i(X_120),X_38))) = mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(i(X_120),X_38),X_120),i(X_38)),mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))) ),[0],$fot(i(op_k(X_120,mult(i(X_120),X_38))))]]) ).
cnf(refute_0_58,plain,
( mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) != mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))
| i(op_k(X_120,mult(i(X_120),X_38))) = mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(i(X_120),X_38),X_120),i(X_38)),i(op_k(X_120,mult(i(X_120),X_38)))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))) = asoc(mult(i(X_120),X_38),X_120,i(X_38)),
inference(subst,[],[c01:[bind(A,$fot(asoc(mult(i(X_120),X_38),X_120,i(X_38))))]]) ).
cnf(refute_0_60,plain,
( i(op_k(X_120,mult(i(X_120),X_38))) != mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))
| mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))) != asoc(mult(i(X_120),X_38),X_120,i(X_38))
| i(op_k(X_120,mult(i(X_120),X_38))) = asoc(mult(i(X_120),X_38),X_120,i(X_38)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(i(op_k(X_120,mult(i(X_120),X_38))),asoc(mult(i(X_120),X_38),X_120,i(X_38))) ),[0],$fot(mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))))]]) ).
cnf(refute_0_61,plain,
( i(op_k(X_120,mult(i(X_120),X_38))) != mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))
| i(op_k(X_120,mult(i(X_120),X_38))) = asoc(mult(i(X_120),X_38),X_120,i(X_38)) ),
inference(resolve,[$cnf( $equal(mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38))),asoc(mult(i(X_120),X_38),X_120,i(X_38))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( mult(mult(mult(i(X_120),X_38),X_120),i(X_38)) != mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))
| i(op_k(X_120,mult(i(X_120),X_38))) = asoc(mult(i(X_120),X_38),X_120,i(X_38)) ),
inference(resolve,[$cnf( $equal(i(op_k(X_120,mult(i(X_120),X_38))),mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
i(op_k(X_120,mult(i(X_120),X_38))) = asoc(mult(i(X_120),X_38),X_120,i(X_38)),
inference(resolve,[$cnf( $equal(mult(mult(mult(i(X_120),X_38),X_120),i(X_38)),mult(unit,asoc(mult(i(X_120),X_38),X_120,i(X_38)))) )],[refute_0_28,refute_0_62]) ).
cnf(refute_0_64,plain,
i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = asoc(mult(i(X_305),mult(i(i(X_305)),B)),X_305,i(mult(i(i(X_305)),B))),
inference(subst,[],[refute_0_63:[bind(X_120,$fot(X_305)),bind(X_38,$fot(mult(i(i(X_305)),B)))]]) ).
cnf(refute_0_65,plain,
mult(i(X_305),mult(i(i(X_305)),B)) = B,
inference(subst,[],[refute_0_33:[bind(X_9,$fot(i(X_305)))]]) ).
cnf(refute_0_66,plain,
( i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) != asoc(mult(i(X_305),mult(i(i(X_305)),B)),X_305,i(mult(i(i(X_305)),B)))
| mult(i(X_305),mult(i(i(X_305)),B)) != B
| i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = asoc(B,X_305,i(mult(i(i(X_305)),B))) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),asoc(mult(i(X_305),mult(i(i(X_305)),B)),X_305,i(mult(i(i(X_305)),B)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_67,plain,
( i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) != asoc(mult(i(X_305),mult(i(i(X_305)),B)),X_305,i(mult(i(i(X_305)),B)))
| i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = asoc(B,X_305,i(mult(i(i(X_305)),B))) ),
inference(resolve,[$cnf( $equal(mult(i(X_305),mult(i(i(X_305)),B)),B) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = asoc(B,X_305,i(mult(i(i(X_305)),B))),
inference(resolve,[$cnf( $equal(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),asoc(mult(i(X_305),mult(i(i(X_305)),B)),X_305,i(mult(i(i(X_305)),B)))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))) = op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))),
introduced(tautology,[refl,[$fot(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))))]]) ).
cnf(refute_0_70,plain,
( mult(i(X_305),mult(i(i(X_305)),B)) != B
| op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))) != op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))
| op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))) = op_k(X_305,B) ),
introduced(tautology,[equality,[$cnf( $equal(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))),op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_71,plain,
( mult(i(X_305),mult(i(i(X_305)),B)) != B
| op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))) = op_k(X_305,B) ),
inference(resolve,[$cnf( $equal(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))),op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))) = op_k(X_305,B),
inference(resolve,[$cnf( $equal(mult(i(X_305),mult(i(i(X_305)),B)),B) )],[refute_0_65,refute_0_71]) ).
cnf(refute_0_73,plain,
i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),
introduced(tautology,[refl,[$fot(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))))]]) ).
cnf(refute_0_74,plain,
( i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) != i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))))
| op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))) != op_k(X_305,B)
| i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = i(op_k(X_305,B)) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))))) ),[1,0],$fot(op_k(X_305,B))]]) ).
cnf(refute_0_75,plain,
( op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))) != op_k(X_305,B)
| i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = i(op_k(X_305,B)) ),
inference(resolve,[$cnf( $equal(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) = i(op_k(X_305,B)),
inference(resolve,[$cnf( $equal(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B))),op_k(X_305,B)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) != asoc(B,X_305,i(mult(i(i(X_305)),B)))
| i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) != i(op_k(X_305,B))
| i(op_k(X_305,B)) = asoc(B,X_305,i(mult(i(i(X_305)),B))) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),asoc(B,X_305,i(mult(i(i(X_305)),B)))) ),[0],$fot(i(op_k(X_305,B)))]]) ).
cnf(refute_0_78,plain,
( i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) != asoc(B,X_305,i(mult(i(i(X_305)),B)))
| i(op_k(X_305,B)) = asoc(B,X_305,i(mult(i(i(X_305)),B))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),i(op_k(X_305,B))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( i(mult(A,B)) != mult(i(A),i(B))
| mult(i(A),i(B)) = i(mult(A,B)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(mult(A,B)))),bind(Y,$fot(mult(i(A),i(B))))]]) ).
cnf(refute_0_80,plain,
mult(i(A),i(B)) = i(mult(A,B)),
inference(resolve,[$cnf( $equal(i(mult(A,B)),mult(i(A),i(B))) )],[c05,refute_0_79]) ).
cnf(refute_0_81,plain,
mult(i(X_305),i(B)) = i(mult(X_305,B)),
inference(subst,[],[refute_0_80:[bind(A,$fot(X_305))]]) ).
cnf(refute_0_82,plain,
i(mult(i(X_6),X_25)) = mult(i(i(X_6)),i(X_25)),
inference(subst,[],[c05:[bind(A,$fot(i(X_6))),bind(B,$fot(X_25))]]) ).
cnf(refute_0_83,plain,
( i(i(X_6)) != X_6
| i(mult(i(X_6),X_25)) != mult(i(i(X_6)),i(X_25))
| i(mult(i(X_6),X_25)) = mult(X_6,i(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(i(X_6),X_25)),mult(i(i(X_6)),i(X_25))) ),[1,0],$fot(X_6)]]) ).
cnf(refute_0_84,plain,
( i(mult(i(X_6),X_25)) != mult(i(i(X_6)),i(X_25))
| i(mult(i(X_6),X_25)) = mult(X_6,i(X_25)) ),
inference(resolve,[$cnf( $equal(i(i(X_6)),X_6) )],[refute_0_17,refute_0_83]) ).
cnf(refute_0_85,plain,
i(mult(i(X_6),X_25)) = mult(X_6,i(X_25)),
inference(resolve,[$cnf( $equal(i(mult(i(X_6),X_25)),mult(i(i(X_6)),i(X_25))) )],[refute_0_82,refute_0_84]) ).
cnf(refute_0_86,plain,
i(mult(i(i(X_305)),B)) = mult(i(X_305),i(B)),
inference(subst,[],[refute_0_85:[bind(X_25,$fot(B)),bind(X_6,$fot(i(X_305)))]]) ).
cnf(refute_0_87,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_88,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_38,refute_0_87]) ).
cnf(refute_0_89,plain,
( i(mult(i(i(X_305)),B)) != mult(i(X_305),i(B))
| mult(i(X_305),i(B)) != i(mult(X_305,B))
| i(mult(i(i(X_305)),B)) = i(mult(X_305,B)) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(i(mult(i(i(X_305)),B)))),bind(Y,$fot(mult(i(X_305),i(B)))),bind(Z,$fot(i(mult(X_305,B))))]]) ).
cnf(refute_0_90,plain,
( mult(i(X_305),i(B)) != i(mult(X_305,B))
| i(mult(i(i(X_305)),B)) = i(mult(X_305,B)) ),
inference(resolve,[$cnf( $equal(i(mult(i(i(X_305)),B)),mult(i(X_305),i(B))) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
i(mult(i(i(X_305)),B)) = i(mult(X_305,B)),
inference(resolve,[$cnf( $equal(mult(i(X_305),i(B)),i(mult(X_305,B))) )],[refute_0_81,refute_0_90]) ).
cnf(refute_0_92,plain,
asoc(B,X_305,i(mult(i(i(X_305)),B))) = asoc(B,X_305,i(mult(i(i(X_305)),B))),
introduced(tautology,[refl,[$fot(asoc(B,X_305,i(mult(i(i(X_305)),B))))]]) ).
cnf(refute_0_93,plain,
( asoc(B,X_305,i(mult(i(i(X_305)),B))) != asoc(B,X_305,i(mult(i(i(X_305)),B)))
| i(mult(i(i(X_305)),B)) != i(mult(X_305,B))
| asoc(B,X_305,i(mult(i(i(X_305)),B))) = asoc(B,X_305,i(mult(X_305,B))) ),
introduced(tautology,[equality,[$cnf( $equal(asoc(B,X_305,i(mult(i(i(X_305)),B))),asoc(B,X_305,i(mult(i(i(X_305)),B)))) ),[1,2],$fot(i(mult(X_305,B)))]]) ).
cnf(refute_0_94,plain,
( i(mult(i(i(X_305)),B)) != i(mult(X_305,B))
| asoc(B,X_305,i(mult(i(i(X_305)),B))) = asoc(B,X_305,i(mult(X_305,B))) ),
inference(resolve,[$cnf( $equal(asoc(B,X_305,i(mult(i(i(X_305)),B))),asoc(B,X_305,i(mult(i(i(X_305)),B)))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
asoc(B,X_305,i(mult(i(i(X_305)),B))) = asoc(B,X_305,i(mult(X_305,B))),
inference(resolve,[$cnf( $equal(i(mult(i(i(X_305)),B)),i(mult(X_305,B))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( asoc(B,X_305,i(mult(i(i(X_305)),B))) != asoc(B,X_305,i(mult(X_305,B)))
| i(op_k(X_305,B)) != asoc(B,X_305,i(mult(i(i(X_305)),B)))
| i(op_k(X_305,B)) = asoc(B,X_305,i(mult(X_305,B))) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(X_305,B)),asoc(B,X_305,i(mult(i(i(X_305)),B)))) ),[1],$fot(asoc(B,X_305,i(mult(X_305,B))))]]) ).
cnf(refute_0_97,plain,
( i(op_k(X_305,B)) != asoc(B,X_305,i(mult(i(i(X_305)),B)))
| i(op_k(X_305,B)) = asoc(B,X_305,i(mult(X_305,B))) ),
inference(resolve,[$cnf( $equal(asoc(B,X_305,i(mult(i(i(X_305)),B))),asoc(B,X_305,i(mult(X_305,B)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))) != asoc(B,X_305,i(mult(i(i(X_305)),B)))
| i(op_k(X_305,B)) = asoc(B,X_305,i(mult(X_305,B))) ),
inference(resolve,[$cnf( $equal(i(op_k(X_305,B)),asoc(B,X_305,i(mult(i(i(X_305)),B)))) )],[refute_0_78,refute_0_97]) ).
cnf(refute_0_99,plain,
i(op_k(X_305,B)) = asoc(B,X_305,i(mult(X_305,B))),
inference(resolve,[$cnf( $equal(i(op_k(X_305,mult(i(X_305),mult(i(i(X_305)),B)))),asoc(B,X_305,i(mult(i(i(X_305)),B)))) )],[refute_0_68,refute_0_98]) ).
cnf(refute_0_100,plain,
i(op_k(D,asoc(A,B,C))) = asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))),
inference(subst,[],[refute_0_99:[bind(B,$fot(asoc(A,B,C))),bind(X_305,$fot(D))]]) ).
cnf(refute_0_101,plain,
( i(op_k(D,asoc(A,B,C))) != asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C))))
| asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))) = i(op_k(D,asoc(A,B,C))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(op_k(D,asoc(A,B,C))))),bind(Y,$fot(asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C))))))]]) ).
cnf(refute_0_102,plain,
asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))) = i(op_k(D,asoc(A,B,C))),
inference(resolve,[$cnf( $equal(i(op_k(D,asoc(A,B,C))),asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C))))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))) != i(op_k(D,asoc(A,B,C)))
| asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))) != unit
| i(op_k(D,asoc(A,B,C))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))),unit) ),[0],$fot(i(op_k(D,asoc(A,B,C))))]]) ).
cnf(refute_0_104,plain,
( asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))) != unit
| i(op_k(D,asoc(A,B,C))) = unit ),
inference(resolve,[$cnf( $equal(asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))),i(op_k(D,asoc(A,B,C)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
i(op_k(D,asoc(A,B,C))) = unit,
inference(resolve,[$cnf( $equal(asoc(asoc(A,B,C),D,i(mult(D,asoc(A,B,C)))),unit) )],[refute_0_0,refute_0_104]) ).
cnf(refute_0_106,plain,
rd(mult(mult(X_42,X_41),op_k(X_41,X_42)),op_k(X_41,X_42)) = mult(X_42,X_41),
inference(subst,[],[c07:[bind(A,$fot(mult(X_42,X_41))),bind(B,$fot(op_k(X_41,X_42)))]]) ).
cnf(refute_0_107,plain,
( mult(mult(X_42,X_41),op_k(X_41,X_42)) != mult(X_41,X_42)
| rd(mult(mult(X_42,X_41),op_k(X_41,X_42)),op_k(X_41,X_42)) != mult(X_42,X_41)
| rd(mult(X_41,X_42),op_k(X_41,X_42)) = mult(X_42,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_42,X_41),op_k(X_41,X_42)),op_k(X_41,X_42)),mult(X_42,X_41)) ),[0,0],$fot(mult(X_41,X_42))]]) ).
cnf(refute_0_108,plain,
( rd(mult(mult(X_42,X_41),op_k(X_41,X_42)),op_k(X_41,X_42)) != mult(X_42,X_41)
| rd(mult(X_41,X_42),op_k(X_41,X_42)) = mult(X_42,X_41) ),
inference(resolve,[$cnf( $equal(mult(mult(X_42,X_41),op_k(X_41,X_42)),mult(X_41,X_42)) )],[refute_0_47,refute_0_107]) ).
cnf(refute_0_109,plain,
rd(mult(X_41,X_42),op_k(X_41,X_42)) = mult(X_42,X_41),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_42,X_41),op_k(X_41,X_42)),op_k(X_41,X_42)),mult(X_42,X_41)) )],[refute_0_106,refute_0_108]) ).
cnf(refute_0_110,plain,
rd(mult(rd(A,X_195),X_195),op_k(rd(A,X_195),X_195)) = mult(X_195,rd(A,X_195)),
inference(subst,[],[refute_0_109:[bind(X_41,$fot(rd(A,X_195))),bind(X_42,$fot(X_195))]]) ).
cnf(refute_0_111,plain,
mult(rd(A,X_195),X_195) = A,
inference(subst,[],[c08:[bind(B,$fot(X_195))]]) ).
cnf(refute_0_112,plain,
( mult(rd(A,X_195),X_195) != A
| rd(mult(rd(A,X_195),X_195),op_k(rd(A,X_195),X_195)) != mult(X_195,rd(A,X_195))
| rd(A,op_k(rd(A,X_195),X_195)) = mult(X_195,rd(A,X_195)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_195),X_195),op_k(rd(A,X_195),X_195)),mult(X_195,rd(A,X_195))) ),[0,0],$fot(A)]]) ).
cnf(refute_0_113,plain,
( rd(mult(rd(A,X_195),X_195),op_k(rd(A,X_195),X_195)) != mult(X_195,rd(A,X_195))
| rd(A,op_k(rd(A,X_195),X_195)) = mult(X_195,rd(A,X_195)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_195),X_195),A) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
rd(A,op_k(rd(A,X_195),X_195)) = mult(X_195,rd(A,X_195)),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_195),X_195),op_k(rd(A,X_195),X_195)),mult(X_195,rd(A,X_195))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
rd(i(op_k(X_394,X_395)),op_k(rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)),op_k(X_395,X_394))) = mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))),
inference(subst,[],[refute_0_114:[bind(A,$fot(i(op_k(X_394,X_395)))),bind(X_195,$fot(op_k(X_395,X_394)))]]) ).
cnf(refute_0_116,plain,
rd(mult(i(X_31),mult(X_30,X_31)),mult(X_30,X_31)) = i(X_31),
inference(subst,[],[c07:[bind(A,$fot(i(X_31))),bind(B,$fot(mult(X_30,X_31)))]]) ).
cnf(refute_0_117,plain,
op_t(X_30,X_31) = mult(i(X_31),mult(X_30,X_31)),
inference(subst,[],[c14:[bind(A,$fot(X_30)),bind(B,$fot(X_31))]]) ).
cnf(refute_0_118,plain,
( op_t(X_30,X_31) != mult(i(X_31),mult(X_30,X_31))
| mult(i(X_31),mult(X_30,X_31)) = op_t(X_30,X_31) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(op_t(X_30,X_31))),bind(Y,$fot(mult(i(X_31),mult(X_30,X_31))))]]) ).
cnf(refute_0_119,plain,
mult(i(X_31),mult(X_30,X_31)) = op_t(X_30,X_31),
inference(resolve,[$cnf( $equal(op_t(X_30,X_31),mult(i(X_31),mult(X_30,X_31))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( mult(i(X_31),mult(X_30,X_31)) != op_t(X_30,X_31)
| rd(mult(i(X_31),mult(X_30,X_31)),mult(X_30,X_31)) != i(X_31)
| rd(op_t(X_30,X_31),mult(X_30,X_31)) = i(X_31) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(X_31),mult(X_30,X_31)),mult(X_30,X_31)),i(X_31)) ),[0,0],$fot(op_t(X_30,X_31))]]) ).
cnf(refute_0_121,plain,
( rd(mult(i(X_31),mult(X_30,X_31)),mult(X_30,X_31)) != i(X_31)
| rd(op_t(X_30,X_31),mult(X_30,X_31)) = i(X_31) ),
inference(resolve,[$cnf( $equal(mult(i(X_31),mult(X_30,X_31)),op_t(X_30,X_31)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
rd(op_t(X_30,X_31),mult(X_30,X_31)) = i(X_31),
inference(resolve,[$cnf( $equal(rd(mult(i(X_31),mult(X_30,X_31)),mult(X_30,X_31)),i(X_31)) )],[refute_0_116,refute_0_121]) ).
cnf(refute_0_123,plain,
rd(op_t(mult(B,A),op_k(A,B)),mult(mult(B,A),op_k(A,B))) = i(op_k(A,B)),
inference(subst,[],[refute_0_122:[bind(X_30,$fot(mult(B,A))),bind(X_31,$fot(op_k(A,B)))]]) ).
cnf(refute_0_124,plain,
( mult(A,B) != mult(mult(B,A),op_k(A,B))
| mult(mult(B,A),op_k(A,B)) = mult(A,B) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(mult(A,B))),bind(Y,$fot(mult(mult(B,A),op_k(A,B))))]]) ).
cnf(refute_0_125,plain,
mult(mult(B,A),op_k(A,B)) = mult(A,B),
inference(resolve,[$cnf( $equal(mult(A,B),mult(mult(B,A),op_k(A,B))) )],[c11,refute_0_124]) ).
cnf(refute_0_126,plain,
( mult(mult(B,A),op_k(A,B)) != mult(A,B)
| rd(op_t(mult(B,A),op_k(A,B)),mult(mult(B,A),op_k(A,B))) != i(op_k(A,B))
| rd(op_t(mult(B,A),op_k(A,B)),mult(A,B)) = i(op_k(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_t(mult(B,A),op_k(A,B)),mult(mult(B,A),op_k(A,B))),i(op_k(A,B))) ),[0,1],$fot(mult(A,B))]]) ).
cnf(refute_0_127,plain,
( rd(op_t(mult(B,A),op_k(A,B)),mult(mult(B,A),op_k(A,B))) != i(op_k(A,B))
| rd(op_t(mult(B,A),op_k(A,B)),mult(A,B)) = i(op_k(A,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,A),op_k(A,B)),mult(A,B)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
rd(op_t(mult(B,A),op_k(A,B)),mult(A,B)) = i(op_k(A,B)),
inference(resolve,[$cnf( $equal(rd(op_t(mult(B,A),op_k(A,B)),mult(mult(B,A),op_k(A,B))),i(op_k(A,B))) )],[refute_0_123,refute_0_127]) ).
cnf(refute_0_129,plain,
rd(op_t(mult(mult(X_42,X_41),i(mult(X_41,X_42))),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),
inference(subst,[],[refute_0_128:[bind(A,$fot(i(mult(X_41,X_42)))),bind(B,$fot(mult(X_42,X_41)))]]) ).
cnf(refute_0_130,plain,
( mult(mult(X_42,X_41),i(mult(X_41,X_42))) != i(op_k(X_41,X_42))
| rd(op_t(mult(mult(X_42,X_41),i(mult(X_41,X_42))),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_t(mult(mult(X_42,X_41),i(mult(X_41,X_42))),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))) ),[0,0,0],$fot(i(op_k(X_41,X_42)))]]) ).
cnf(refute_0_131,plain,
( rd(op_t(mult(mult(X_42,X_41),i(mult(X_41,X_42))),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_42,X_41),i(mult(X_41,X_42))),i(op_k(X_41,X_42))) )],[refute_0_50,refute_0_130]) ).
cnf(refute_0_132,plain,
rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),
inference(resolve,[$cnf( $equal(rd(op_t(mult(mult(X_42,X_41),i(mult(X_41,X_42))),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))) )],[refute_0_129,refute_0_131]) ).
cnf(refute_0_133,plain,
mult(i(mult(X_42,X_41)),mult(mult(X_42,X_41),op_k(X_41,X_42))) = op_k(X_41,X_42),
inference(subst,[],[c06:[bind(A,$fot(mult(X_42,X_41))),bind(B,$fot(op_k(X_41,X_42)))]]) ).
cnf(refute_0_134,plain,
( mult(i(mult(X_42,X_41)),mult(mult(X_42,X_41),op_k(X_41,X_42))) != op_k(X_41,X_42)
| mult(mult(X_42,X_41),op_k(X_41,X_42)) != mult(X_41,X_42)
| mult(i(mult(X_42,X_41)),mult(X_41,X_42)) = op_k(X_41,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_42,X_41)),mult(mult(X_42,X_41),op_k(X_41,X_42))),op_k(X_41,X_42)) ),[0,1],$fot(mult(X_41,X_42))]]) ).
cnf(refute_0_135,plain,
( mult(i(mult(X_42,X_41)),mult(mult(X_42,X_41),op_k(X_41,X_42))) != op_k(X_41,X_42)
| mult(i(mult(X_42,X_41)),mult(X_41,X_42)) = op_k(X_41,X_42) ),
inference(resolve,[$cnf( $equal(mult(mult(X_42,X_41),op_k(X_41,X_42)),mult(X_41,X_42)) )],[refute_0_47,refute_0_134]) ).
cnf(refute_0_136,plain,
mult(i(mult(X_42,X_41)),mult(X_41,X_42)) = op_k(X_41,X_42),
inference(resolve,[$cnf( $equal(mult(i(mult(X_42,X_41)),mult(mult(X_42,X_41),op_k(X_41,X_42))),op_k(X_41,X_42)) )],[refute_0_133,refute_0_135]) ).
cnf(refute_0_137,plain,
mult(i(mult(X_41,X_42)),mult(X_42,X_41)) = op_k(X_42,X_41),
inference(subst,[],[refute_0_136:[bind(X_41,$fot(X_42)),bind(X_42,$fot(X_41))]]) ).
cnf(refute_0_138,plain,
rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),
introduced(tautology,[refl,[$fot(rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))))]]) ).
cnf(refute_0_139,plain,
( mult(i(mult(X_41,X_42)),mult(X_42,X_41)) != op_k(X_42,X_41)
| rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))) ),[1,1],$fot(op_k(X_42,X_41))]]) ).
cnf(refute_0_140,plain,
( mult(i(mult(X_41,X_42)),mult(X_42,X_41)) != op_k(X_42,X_41)
| rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) ),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)),
inference(resolve,[$cnf( $equal(mult(i(mult(X_41,X_42)),mult(X_42,X_41)),op_k(X_42,X_41)) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
op_t(X_30,unit) = mult(i(unit),mult(X_30,unit)),
inference(subst,[],[c14:[bind(A,$fot(X_30)),bind(B,$fot(unit))]]) ).
cnf(refute_0_143,plain,
mult(X_30,unit) = X_30,
inference(subst,[],[c02:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_144,plain,
( mult(X_30,unit) != X_30
| op_t(X_30,unit) != mult(i(unit),mult(X_30,unit))
| op_t(X_30,unit) = mult(i(unit),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_30,unit),mult(i(unit),mult(X_30,unit))) ),[1,1],$fot(X_30)]]) ).
cnf(refute_0_145,plain,
( op_t(X_30,unit) != mult(i(unit),mult(X_30,unit))
| op_t(X_30,unit) = mult(i(unit),X_30) ),
inference(resolve,[$cnf( $equal(mult(X_30,unit),X_30) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
op_t(X_30,unit) = mult(i(unit),X_30),
inference(resolve,[$cnf( $equal(op_t(X_30,unit),mult(i(unit),mult(X_30,unit))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
mult(unit,X_30) = X_30,
inference(subst,[],[c01:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_148,plain,
mult(i(unit),unit) = unit,
inference(subst,[],[c04:[bind(A,$fot(unit))]]) ).
cnf(refute_0_149,plain,
mult(i(unit),unit) = i(unit),
inference(subst,[],[c02:[bind(A,$fot(i(unit)))]]) ).
cnf(refute_0_150,plain,
( mult(i(unit),unit) != i(unit)
| mult(i(unit),unit) != unit
| i(unit) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(unit),unit),unit) ),[0],$fot(i(unit))]]) ).
cnf(refute_0_151,plain,
( mult(i(unit),unit) != unit
| i(unit) = unit ),
inference(resolve,[$cnf( $equal(mult(i(unit),unit),i(unit)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
i(unit) = unit,
inference(resolve,[$cnf( $equal(mult(i(unit),unit),unit) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
mult(i(unit),X_30) = mult(i(unit),X_30),
introduced(tautology,[refl,[$fot(mult(i(unit),X_30))]]) ).
cnf(refute_0_154,plain,
( i(unit) != unit
| mult(i(unit),X_30) != mult(i(unit),X_30)
| mult(i(unit),X_30) = mult(unit,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(unit),X_30),mult(i(unit),X_30)) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_155,plain,
( i(unit) != unit
| mult(i(unit),X_30) = mult(unit,X_30) ),
inference(resolve,[$cnf( $equal(mult(i(unit),X_30),mult(i(unit),X_30)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
mult(i(unit),X_30) = mult(unit,X_30),
inference(resolve,[$cnf( $equal(i(unit),unit) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
( mult(i(unit),X_30) != mult(unit,X_30)
| mult(unit,X_30) != X_30
| mult(i(unit),X_30) = X_30 ),
inference(subst,[],[refute_0_88:[bind(X,$fot(mult(i(unit),X_30))),bind(Y,$fot(mult(unit,X_30))),bind(Z,$fot(X_30))]]) ).
cnf(refute_0_158,plain,
( mult(unit,X_30) != X_30
| mult(i(unit),X_30) = X_30 ),
inference(resolve,[$cnf( $equal(mult(i(unit),X_30),mult(unit,X_30)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
mult(i(unit),X_30) = X_30,
inference(resolve,[$cnf( $equal(mult(unit,X_30),X_30) )],[refute_0_147,refute_0_158]) ).
cnf(refute_0_160,plain,
( mult(i(unit),X_30) != X_30
| op_t(X_30,unit) != mult(i(unit),X_30)
| op_t(X_30,unit) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_30,unit),mult(i(unit),X_30)) ),[1],$fot(X_30)]]) ).
cnf(refute_0_161,plain,
( op_t(X_30,unit) != mult(i(unit),X_30)
| op_t(X_30,unit) = X_30 ),
inference(resolve,[$cnf( $equal(mult(i(unit),X_30),X_30) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
op_t(X_30,unit) = X_30,
inference(resolve,[$cnf( $equal(op_t(X_30,unit),mult(i(unit),X_30)) )],[refute_0_146,refute_0_161]) ).
cnf(refute_0_163,plain,
op_t(op_k(X_41,X_42),unit) = op_k(X_41,X_42),
inference(subst,[],[refute_0_162:[bind(X_30,$fot(op_k(X_41,X_42)))]]) ).
cnf(refute_0_164,plain,
mult(i(mult(i(mult(X_71,X_70)),mult(X_70,X_71))),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = op_k(mult(X_70,X_71),i(mult(X_71,X_70))),
inference(subst,[],[refute_0_136:[bind(X_41,$fot(mult(X_70,X_71))),bind(X_42,$fot(i(mult(X_71,X_70))))]]) ).
cnf(refute_0_165,plain,
mult(i(mult(X_71,X_70)),mult(X_70,X_71)) = op_k(X_70,X_71),
inference(subst,[],[refute_0_136:[bind(X_41,$fot(X_70)),bind(X_42,$fot(X_71))]]) ).
cnf(refute_0_166,plain,
( mult(i(mult(X_71,X_70)),mult(X_70,X_71)) != op_k(X_70,X_71)
| mult(i(mult(i(mult(X_71,X_70)),mult(X_70,X_71))),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = op_k(mult(X_70,X_71),i(mult(X_71,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(i(mult(X_71,X_70)),mult(X_70,X_71))),mult(mult(X_70,X_71),i(mult(X_71,X_70)))),op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) ),[0,0,0],$fot(op_k(X_70,X_71))]]) ).
cnf(refute_0_167,plain,
( mult(i(mult(i(mult(X_71,X_70)),mult(X_70,X_71))),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = op_k(mult(X_70,X_71),i(mult(X_71,X_70))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_71,X_70)),mult(X_70,X_71)),op_k(X_70,X_71)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = op_k(mult(X_70,X_71),i(mult(X_71,X_70))),
inference(resolve,[$cnf( $equal(mult(i(mult(i(mult(X_71,X_70)),mult(X_70,X_71))),mult(mult(X_70,X_71),i(mult(X_71,X_70)))),op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
mult(i(mult(X_70,X_71)),mult(X_71,X_70)) = op_k(X_71,X_70),
inference(subst,[],[refute_0_136:[bind(X_41,$fot(X_71)),bind(X_42,$fot(X_70))]]) ).
cnf(refute_0_170,plain,
mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))) = mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))),
introduced(tautology,[refl,[$fot(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))))]]) ).
cnf(refute_0_171,plain,
( mult(i(mult(X_70,X_71)),mult(X_71,X_70)) != op_k(X_71,X_70)
| mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))) != mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))
| mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))) = mult(op_k(X_70,X_71),op_k(X_71,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))),mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) ),[1,1],$fot(op_k(X_71,X_70))]]) ).
cnf(refute_0_172,plain,
( mult(i(mult(X_70,X_71)),mult(X_71,X_70)) != op_k(X_71,X_70)
| mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))) = mult(op_k(X_70,X_71),op_k(X_71,X_70)) ),
inference(resolve,[$cnf( $equal(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))),mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))) = mult(op_k(X_70,X_71),op_k(X_71,X_70)),
inference(resolve,[$cnf( $equal(mult(i(mult(X_70,X_71)),mult(X_71,X_70)),op_k(X_71,X_70)) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))),
introduced(tautology,[refl,[$fot(i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))))]]) ).
cnf(refute_0_175,plain,
( i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) != i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))))
| mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))) != mult(op_k(X_70,X_71),op_k(X_71,X_70))
| i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))),i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))))) ),[1,0],$fot(mult(op_k(X_70,X_71),op_k(X_71,X_70)))]]) ).
cnf(refute_0_176,plain,
( mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))) != mult(op_k(X_70,X_71),op_k(X_71,X_70))
| i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) ),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))),i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))),
inference(resolve,[$cnf( $equal(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))),mult(op_k(X_70,X_71),op_k(X_71,X_70))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
i(mult(X_24,i(mult(X_37,i(X_38))))) = mult(i(X_24),mult(X_37,i(X_38))),
inference(subst,[],[refute_0_20:[bind(X_6,$fot(mult(X_37,i(X_38))))]]) ).
cnf(refute_0_179,plain,
( i(mult(X_24,i(mult(X_37,i(X_38))))) != mult(i(X_24),mult(X_37,i(X_38)))
| i(mult(X_37,i(X_38))) != mult(i(X_37),X_38)
| i(mult(X_24,mult(i(X_37),X_38))) = mult(i(X_24),mult(X_37,i(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(X_24,i(mult(X_37,i(X_38))))),mult(i(X_24),mult(X_37,i(X_38)))) ),[0,0,1],$fot(mult(i(X_37),X_38))]]) ).
cnf(refute_0_180,plain,
( i(mult(X_24,i(mult(X_37,i(X_38))))) != mult(i(X_24),mult(X_37,i(X_38)))
| i(mult(X_24,mult(i(X_37),X_38))) = mult(i(X_24),mult(X_37,i(X_38))) ),
inference(resolve,[$cnf( $equal(i(mult(X_37,i(X_38))),mult(i(X_37),X_38)) )],[refute_0_21,refute_0_179]) ).
cnf(refute_0_181,plain,
i(mult(X_24,mult(i(X_37),X_38))) = mult(i(X_24),mult(X_37,i(X_38))),
inference(resolve,[$cnf( $equal(i(mult(X_24,i(mult(X_37,i(X_38))))),mult(i(X_24),mult(X_37,i(X_38)))) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
( i(mult(X_24,mult(i(X_37),X_38))) != mult(i(X_24),mult(X_37,i(X_38)))
| mult(i(X_24),mult(X_37,i(X_38))) = i(mult(X_24,mult(i(X_37),X_38))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(mult(X_24,mult(i(X_37),X_38))))),bind(Y,$fot(mult(i(X_24),mult(X_37,i(X_38)))))]]) ).
cnf(refute_0_183,plain,
mult(i(X_24),mult(X_37,i(X_38))) = i(mult(X_24,mult(i(X_37),X_38))),
inference(resolve,[$cnf( $equal(i(mult(X_24,mult(i(X_37),X_38))),mult(i(X_24),mult(X_37,i(X_38)))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))),
inference(subst,[],[refute_0_183:[bind(X_24,$fot(op_k(X_70,X_71))),bind(X_37,$fot(mult(X_70,X_71))),bind(X_38,$fot(mult(X_71,X_70)))]]) ).
cnf(refute_0_185,plain,
( i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) != i(mult(op_k(X_70,X_71),op_k(X_71,X_70)))
| mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) != i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))))
| mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))))),bind(Y,$fot(i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))))),bind(Z,$fot(i(mult(op_k(X_70,X_71),op_k(X_71,X_70)))))]]) ).
cnf(refute_0_186,plain,
( i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))) != i(mult(op_k(X_70,X_71),op_k(X_71,X_70)))
| mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) ),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))),i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70))))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_70,X_71),mult(i(mult(X_70,X_71)),mult(X_71,X_70)))),i(mult(op_k(X_70,X_71),op_k(X_71,X_70)))) )],[refute_0_177,refute_0_186]) ).
cnf(refute_0_188,plain,
( mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) != i(mult(op_k(X_70,X_71),op_k(X_71,X_70)))
| mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) = op_k(mult(X_70,X_71),i(mult(X_71,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))),op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) ),[0],$fot(i(mult(op_k(X_70,X_71),op_k(X_71,X_70))))]]) ).
cnf(refute_0_189,plain,
( mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))) != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) = op_k(mult(X_70,X_71),i(mult(X_71,X_70))) ),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))),i(mult(op_k(X_70,X_71),op_k(X_71,X_70)))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) = op_k(mult(X_70,X_71),i(mult(X_71,X_70))),
inference(resolve,[$cnf( $equal(mult(i(op_k(X_70,X_71)),mult(mult(X_70,X_71),i(mult(X_71,X_70)))),op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) )],[refute_0_168,refute_0_189]) ).
cnf(refute_0_191,plain,
i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(mult(i(mult(X_42,X_41)),mult(X_41,X_42)))),
inference(subst,[],[refute_0_99:[bind(B,$fot(mult(X_41,X_42))),bind(X_305,$fot(i(mult(X_42,X_41))))]]) ).
cnf(refute_0_192,plain,
( i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) != asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(mult(i(mult(X_42,X_41)),mult(X_41,X_42))))
| mult(i(mult(X_42,X_41)),mult(X_41,X_42)) != op_k(X_41,X_42)
| i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))),asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(mult(i(mult(X_42,X_41)),mult(X_41,X_42))))) ),[1,2,0],$fot(op_k(X_41,X_42))]]) ).
cnf(refute_0_193,plain,
( i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) != asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(mult(i(mult(X_42,X_41)),mult(X_41,X_42))))
| i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_42,X_41)),mult(X_41,X_42)),op_k(X_41,X_42)) )],[refute_0_136,refute_0_192]) ).
cnf(refute_0_194,plain,
i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))),
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))),asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(mult(i(mult(X_42,X_41)),mult(X_41,X_42))))) )],[refute_0_191,refute_0_193]) ).
cnf(refute_0_195,plain,
( i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| op_k(mult(X_70,X_71),i(mult(X_71,X_70))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(mult(op_k(X_70,X_71),op_k(X_71,X_70))))),bind(Y,$fot(op_k(mult(X_70,X_71),i(mult(X_71,X_70)))))]]) ).
cnf(refute_0_196,plain,
op_k(mult(X_70,X_71),i(mult(X_71,X_70))) = i(mult(op_k(X_70,X_71),op_k(X_71,X_70))),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_70,X_71),op_k(X_71,X_70))),op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) )],[refute_0_190,refute_0_195]) ).
cnf(refute_0_197,plain,
op_k(mult(X_42,X_41),i(mult(X_41,X_42))) = i(mult(op_k(X_42,X_41),op_k(X_41,X_42))),
inference(subst,[],[refute_0_196:[bind(X_70,$fot(X_42)),bind(X_71,$fot(X_41))]]) ).
cnf(refute_0_198,plain,
mult(mult(X_74,i(X_6)),i(mult(i(X_6),X_74))) = i(op_k(i(X_6),X_74)),
inference(subst,[],[refute_0_50:[bind(X_41,$fot(i(X_6))),bind(X_42,$fot(X_74))]]) ).
cnf(refute_0_199,plain,
i(mult(i(X_6),X_74)) = mult(X_6,i(X_74)),
inference(subst,[],[refute_0_85:[bind(X_25,$fot(X_74))]]) ).
cnf(refute_0_200,plain,
( i(mult(i(X_6),X_74)) != mult(X_6,i(X_74))
| mult(mult(X_74,i(X_6)),i(mult(i(X_6),X_74))) != i(op_k(i(X_6),X_74))
| mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))) = i(op_k(i(X_6),X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_74,i(X_6)),i(mult(i(X_6),X_74))),i(op_k(i(X_6),X_74))) ),[0,1],$fot(mult(X_6,i(X_74)))]]) ).
cnf(refute_0_201,plain,
( mult(mult(X_74,i(X_6)),i(mult(i(X_6),X_74))) != i(op_k(i(X_6),X_74))
| mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))) = i(op_k(i(X_6),X_74)) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_6),X_74)),mult(X_6,i(X_74))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))) = i(op_k(i(X_6),X_74)),
inference(resolve,[$cnf( $equal(mult(mult(X_74,i(X_6)),i(mult(i(X_6),X_74))),i(op_k(i(X_6),X_74))) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
mult(i(mult(i(X_6),X_70)),mult(X_70,i(X_6))) = op_k(X_70,i(X_6)),
inference(subst,[],[refute_0_136:[bind(X_41,$fot(X_70)),bind(X_42,$fot(i(X_6)))]]) ).
cnf(refute_0_204,plain,
i(mult(i(X_6),X_70)) = mult(X_6,i(X_70)),
inference(subst,[],[refute_0_85:[bind(X_25,$fot(X_70))]]) ).
cnf(refute_0_205,plain,
( i(mult(i(X_6),X_70)) != mult(X_6,i(X_70))
| mult(i(mult(i(X_6),X_70)),mult(X_70,i(X_6))) != op_k(X_70,i(X_6))
| mult(mult(X_6,i(X_70)),mult(X_70,i(X_6))) = op_k(X_70,i(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(i(X_6),X_70)),mult(X_70,i(X_6))),op_k(X_70,i(X_6))) ),[0,0],$fot(mult(X_6,i(X_70)))]]) ).
cnf(refute_0_206,plain,
( mult(i(mult(i(X_6),X_70)),mult(X_70,i(X_6))) != op_k(X_70,i(X_6))
| mult(mult(X_6,i(X_70)),mult(X_70,i(X_6))) = op_k(X_70,i(X_6)) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_6),X_70)),mult(X_6,i(X_70))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
mult(mult(X_6,i(X_70)),mult(X_70,i(X_6))) = op_k(X_70,i(X_6)),
inference(resolve,[$cnf( $equal(mult(i(mult(i(X_6),X_70)),mult(X_70,i(X_6))),op_k(X_70,i(X_6))) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))) = op_k(X_6,i(X_74)),
inference(subst,[],[refute_0_207:[bind(X_6,$fot(X_74)),bind(X_70,$fot(X_6))]]) ).
cnf(refute_0_209,plain,
( mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))) != i(op_k(i(X_6),X_74))
| mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))) != op_k(X_6,i(X_74))
| op_k(X_6,i(X_74)) = i(op_k(i(X_6),X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))),i(op_k(i(X_6),X_74))) ),[0],$fot(op_k(X_6,i(X_74)))]]) ).
cnf(refute_0_210,plain,
( mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))) != i(op_k(i(X_6),X_74))
| op_k(X_6,i(X_74)) = i(op_k(i(X_6),X_74)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))),op_k(X_6,i(X_74))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
op_k(X_6,i(X_74)) = i(op_k(i(X_6),X_74)),
inference(resolve,[$cnf( $equal(mult(mult(X_74,i(X_6)),mult(X_6,i(X_74))),i(op_k(i(X_6),X_74))) )],[refute_0_202,refute_0_210]) ).
cnf(refute_0_212,plain,
( op_k(X_6,i(X_74)) != i(op_k(i(X_6),X_74))
| i(op_k(i(X_6),X_74)) = op_k(X_6,i(X_74)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(op_k(X_6,i(X_74)))),bind(Y,$fot(i(op_k(i(X_6),X_74))))]]) ).
cnf(refute_0_213,plain,
i(op_k(i(X_6),X_74)) = op_k(X_6,i(X_74)),
inference(resolve,[$cnf( $equal(op_k(X_6,i(X_74)),i(op_k(i(X_6),X_74))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = op_k(mult(X_42,X_41),i(mult(X_41,X_42))),
inference(subst,[],[refute_0_213:[bind(X_6,$fot(mult(X_42,X_41))),bind(X_74,$fot(mult(X_41,X_42)))]]) ).
cnf(refute_0_215,plain,
( i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) != op_k(mult(X_42,X_41),i(mult(X_41,X_42)))
| op_k(mult(X_42,X_41),i(mult(X_41,X_42))) != i(mult(op_k(X_42,X_41),op_k(X_41,X_42)))
| i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))))),bind(Y,$fot(op_k(mult(X_42,X_41),i(mult(X_41,X_42))))),bind(Z,$fot(i(mult(op_k(X_42,X_41),op_k(X_41,X_42)))))]]) ).
cnf(refute_0_216,plain,
( op_k(mult(X_42,X_41),i(mult(X_41,X_42))) != i(mult(op_k(X_42,X_41),op_k(X_41,X_42)))
| i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) ),
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))),op_k(mult(X_42,X_41),i(mult(X_41,X_42)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) = i(mult(op_k(X_42,X_41),op_k(X_41,X_42))),
inference(resolve,[$cnf( $equal(op_k(mult(X_42,X_41),i(mult(X_41,X_42))),i(mult(op_k(X_42,X_41),op_k(X_41,X_42)))) )],[refute_0_197,refute_0_216]) ).
cnf(refute_0_218,plain,
( i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) != asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))
| i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) != i(mult(op_k(X_42,X_41),op_k(X_41,X_42)))
| i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) = asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))),asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))) ),[0],$fot(i(mult(op_k(X_42,X_41),op_k(X_41,X_42))))]]) ).
cnf(refute_0_219,plain,
( i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) != asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))
| i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) = asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))) ),
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))),i(mult(op_k(X_42,X_41),op_k(X_41,X_42)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
asoc(A,B,asoc(C,D,i(mult(D,C)))) = unit,
inference(subst,[],[c22:[bind(E,$fot(i(mult(D,C))))]]) ).
cnf(refute_0_221,plain,
i(op_k(D,C)) = asoc(C,D,i(mult(D,C))),
inference(subst,[],[refute_0_99:[bind(B,$fot(C)),bind(X_305,$fot(D))]]) ).
cnf(refute_0_222,plain,
( i(op_k(D,C)) != asoc(C,D,i(mult(D,C)))
| asoc(C,D,i(mult(D,C))) = i(op_k(D,C)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(op_k(D,C)))),bind(Y,$fot(asoc(C,D,i(mult(D,C)))))]]) ).
cnf(refute_0_223,plain,
asoc(C,D,i(mult(D,C))) = i(op_k(D,C)),
inference(resolve,[$cnf( $equal(i(op_k(D,C)),asoc(C,D,i(mult(D,C)))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( asoc(A,B,asoc(C,D,i(mult(D,C)))) != unit
| asoc(C,D,i(mult(D,C))) != i(op_k(D,C))
| asoc(A,B,i(op_k(D,C))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(asoc(A,B,asoc(C,D,i(mult(D,C)))),unit) ),[0,2],$fot(i(op_k(D,C)))]]) ).
cnf(refute_0_225,plain,
( asoc(A,B,asoc(C,D,i(mult(D,C)))) != unit
| asoc(A,B,i(op_k(D,C))) = unit ),
inference(resolve,[$cnf( $equal(asoc(C,D,i(mult(D,C))),i(op_k(D,C))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
asoc(A,B,i(op_k(D,C))) = unit,
inference(resolve,[$cnf( $equal(asoc(A,B,asoc(C,D,i(mult(D,C)))),unit) )],[refute_0_220,refute_0_225]) ).
cnf(refute_0_227,plain,
asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))) = unit,
inference(subst,[],[refute_0_226:[bind(A,$fot(mult(X_41,X_42))),bind(B,$fot(i(mult(X_42,X_41)))),bind(C,$fot(X_42)),bind(D,$fot(X_41))]]) ).
cnf(refute_0_228,plain,
( asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))) != unit
| i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) != asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))
| i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(op_k(X_42,X_41),op_k(X_41,X_42))),asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))) ),[1],$fot(unit)]]) ).
cnf(refute_0_229,plain,
( i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) != asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))
| i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) = unit ),
inference(resolve,[$cnf( $equal(asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42))),unit) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))) != asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))
| i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) = unit ),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_42,X_41),op_k(X_41,X_42))),asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))) )],[refute_0_219,refute_0_229]) ).
cnf(refute_0_231,plain,
i(mult(op_k(X_42,X_41),op_k(X_41,X_42))) = unit,
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_42,X_41)),mult(X_41,X_42))),asoc(mult(X_41,X_42),i(mult(X_42,X_41)),i(op_k(X_41,X_42)))) )],[refute_0_194,refute_0_230]) ).
cnf(refute_0_232,plain,
i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) = unit,
inference(subst,[],[refute_0_231:[bind(X_41,$fot(X_71)),bind(X_42,$fot(X_70))]]) ).
cnf(refute_0_233,plain,
( i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) != unit
| unit = op_k(mult(X_70,X_71),i(mult(X_71,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(op_k(X_70,X_71),op_k(X_71,X_70))),op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) ),[0],$fot(unit)]]) ).
cnf(refute_0_234,plain,
( i(mult(op_k(X_70,X_71),op_k(X_71,X_70))) != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| unit = op_k(mult(X_70,X_71),i(mult(X_71,X_70))) ),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_70,X_71),op_k(X_71,X_70))),unit) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
unit = op_k(mult(X_70,X_71),i(mult(X_71,X_70))),
inference(resolve,[$cnf( $equal(i(mult(op_k(X_70,X_71),op_k(X_71,X_70))),op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) )],[refute_0_190,refute_0_234]) ).
cnf(refute_0_236,plain,
( unit != op_k(mult(X_70,X_71),i(mult(X_71,X_70)))
| op_k(mult(X_70,X_71),i(mult(X_71,X_70))) = unit ),
inference(subst,[],[refute_0_38:[bind(X,$fot(unit)),bind(Y,$fot(op_k(mult(X_70,X_71),i(mult(X_71,X_70)))))]]) ).
cnf(refute_0_237,plain,
op_k(mult(X_70,X_71),i(mult(X_71,X_70))) = unit,
inference(resolve,[$cnf( $equal(unit,op_k(mult(X_70,X_71),i(mult(X_71,X_70)))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
op_k(mult(X_41,X_42),i(mult(X_42,X_41))) = unit,
inference(subst,[],[refute_0_237:[bind(X_70,$fot(X_41)),bind(X_71,$fot(X_42))]]) ).
cnf(refute_0_239,plain,
op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) = op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))),
introduced(tautology,[refl,[$fot(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))))]]) ).
cnf(refute_0_240,plain,
( op_k(mult(X_41,X_42),i(mult(X_42,X_41))) != unit
| op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) != op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))
| op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) = op_t(op_k(X_41,X_42),unit) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))),op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_241,plain,
( op_k(mult(X_41,X_42),i(mult(X_42,X_41))) != unit
| op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) = op_t(op_k(X_41,X_42),unit) ),
inference(resolve,[$cnf( $equal(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))),op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) = op_t(op_k(X_41,X_42),unit),
inference(resolve,[$cnf( $equal(op_k(mult(X_41,X_42),i(mult(X_42,X_41))),unit) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
( op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) != op_t(op_k(X_41,X_42),unit)
| op_t(op_k(X_41,X_42),unit) != op_k(X_41,X_42)
| op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) = op_k(X_41,X_42) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))))),bind(Y,$fot(op_t(op_k(X_41,X_42),unit))),bind(Z,$fot(op_k(X_41,X_42)))]]) ).
cnf(refute_0_244,plain,
( op_t(op_k(X_41,X_42),unit) != op_k(X_41,X_42)
| op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) = op_k(X_41,X_42) ),
inference(resolve,[$cnf( $equal(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))),op_t(op_k(X_41,X_42),unit)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) = op_k(X_41,X_42),
inference(resolve,[$cnf( $equal(op_t(op_k(X_41,X_42),unit),op_k(X_41,X_42)) )],[refute_0_163,refute_0_244]) ).
cnf(refute_0_246,plain,
i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) = i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))),
introduced(tautology,[refl,[$fot(i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))))]]) ).
cnf(refute_0_247,plain,
( i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) != i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))))
| op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) != op_k(X_41,X_42)
| i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) = i(op_k(X_41,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))),i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))))) ),[1,0],$fot(op_k(X_41,X_42))]]) ).
cnf(refute_0_248,plain,
( op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) != op_k(X_41,X_42)
| i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) = i(op_k(X_41,X_42)) ),
inference(resolve,[$cnf( $equal(i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))),i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) = i(op_k(X_41,X_42)),
inference(resolve,[$cnf( $equal(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))),op_k(X_41,X_42)) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
op_t(i(A),mult(A,B)) = mult(i(mult(A,B)),mult(i(A),mult(A,B))),
inference(subst,[],[c14:[bind(A,$fot(i(A))),bind(B,$fot(mult(A,B)))]]) ).
cnf(refute_0_251,plain,
( mult(i(A),mult(A,B)) != B
| op_t(i(A),mult(A,B)) != mult(i(mult(A,B)),mult(i(A),mult(A,B)))
| op_t(i(A),mult(A,B)) = mult(i(mult(A,B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(i(A),mult(A,B)),mult(i(mult(A,B)),mult(i(A),mult(A,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_252,plain,
( op_t(i(A),mult(A,B)) != mult(i(mult(A,B)),mult(i(A),mult(A,B)))
| op_t(i(A),mult(A,B)) = mult(i(mult(A,B)),B) ),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,B)),B) )],[c06,refute_0_251]) ).
cnf(refute_0_253,plain,
op_t(i(A),mult(A,B)) = mult(i(mult(A,B)),B),
inference(resolve,[$cnf( $equal(op_t(i(A),mult(A,B)),mult(i(mult(A,B)),mult(i(A),mult(A,B)))) )],[refute_0_250,refute_0_252]) ).
cnf(refute_0_254,plain,
op_t(i(X_94),mult(X_94,mult(i(X_94),B))) = mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)),
inference(subst,[],[refute_0_253:[bind(A,$fot(X_94)),bind(B,$fot(mult(i(X_94),B)))]]) ).
cnf(refute_0_255,plain,
mult(X_94,mult(i(X_94),B)) = B,
inference(subst,[],[refute_0_33:[bind(X_9,$fot(X_94))]]) ).
cnf(refute_0_256,plain,
( mult(X_94,mult(i(X_94),B)) != B
| op_t(i(X_94),mult(X_94,mult(i(X_94),B))) != mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))
| op_t(i(X_94),B) = mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(i(X_94),mult(X_94,mult(i(X_94),B))),mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_257,plain,
( op_t(i(X_94),mult(X_94,mult(i(X_94),B))) != mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))
| op_t(i(X_94),B) = mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) ),
inference(resolve,[$cnf( $equal(mult(X_94,mult(i(X_94),B)),B) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
op_t(i(X_94),B) = mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)),
inference(resolve,[$cnf( $equal(op_t(i(X_94),mult(X_94,mult(i(X_94),B))),mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
i(mult(X_94,mult(i(X_94),B))) = i(mult(X_94,mult(i(X_94),B))),
introduced(tautology,[refl,[$fot(i(mult(X_94,mult(i(X_94),B))))]]) ).
cnf(refute_0_260,plain,
( i(mult(X_94,mult(i(X_94),B))) != i(mult(X_94,mult(i(X_94),B)))
| mult(X_94,mult(i(X_94),B)) != B
| i(mult(X_94,mult(i(X_94),B))) = i(B) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(X_94,mult(i(X_94),B))),i(mult(X_94,mult(i(X_94),B)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_261,plain,
( mult(X_94,mult(i(X_94),B)) != B
| i(mult(X_94,mult(i(X_94),B))) = i(B) ),
inference(resolve,[$cnf( $equal(i(mult(X_94,mult(i(X_94),B))),i(mult(X_94,mult(i(X_94),B)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
i(mult(X_94,mult(i(X_94),B))) = i(B),
inference(resolve,[$cnf( $equal(mult(X_94,mult(i(X_94),B)),B) )],[refute_0_255,refute_0_261]) ).
cnf(refute_0_263,plain,
op_t(X_94,i(mult(X_94,mult(i(X_94),B)))) = op_t(X_94,i(mult(X_94,mult(i(X_94),B)))),
introduced(tautology,[refl,[$fot(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))))]]) ).
cnf(refute_0_264,plain,
( i(mult(X_94,mult(i(X_94),B))) != i(B)
| op_t(X_94,i(mult(X_94,mult(i(X_94),B)))) != op_t(X_94,i(mult(X_94,mult(i(X_94),B))))
| op_t(X_94,i(mult(X_94,mult(i(X_94),B)))) = op_t(X_94,i(B)) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))),op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) ),[1,1],$fot(i(B))]]) ).
cnf(refute_0_265,plain,
( i(mult(X_94,mult(i(X_94),B))) != i(B)
| op_t(X_94,i(mult(X_94,mult(i(X_94),B)))) = op_t(X_94,i(B)) ),
inference(resolve,[$cnf( $equal(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))),op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
op_t(X_94,i(mult(X_94,mult(i(X_94),B)))) = op_t(X_94,i(B)),
inference(resolve,[$cnf( $equal(i(mult(X_94,mult(i(X_94),B))),i(B)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) = i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))),
introduced(tautology,[refl,[$fot(i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))))]]) ).
cnf(refute_0_268,plain,
( i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) != i(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))))
| op_t(X_94,i(mult(X_94,mult(i(X_94),B)))) != op_t(X_94,i(B))
| i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) = i(op_t(X_94,i(B))) ),
introduced(tautology,[equality,[$cnf( $equal(i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))),i(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))))) ),[1,0],$fot(op_t(X_94,i(B)))]]) ).
cnf(refute_0_269,plain,
( op_t(X_94,i(mult(X_94,mult(i(X_94),B)))) != op_t(X_94,i(B))
| i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) = i(op_t(X_94,i(B))) ),
inference(resolve,[$cnf( $equal(i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))),i(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) = i(op_t(X_94,i(B))),
inference(resolve,[$cnf( $equal(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))),op_t(X_94,i(B))) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
op_t(i(X_94),mult(X_94,X_95)) = mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))),
inference(subst,[],[c14:[bind(A,$fot(i(X_94))),bind(B,$fot(mult(X_94,X_95)))]]) ).
cnf(refute_0_272,plain,
op_t(i(X_94),mult(X_94,X_95)) = mult(i(mult(X_94,X_95)),X_95),
inference(subst,[],[refute_0_253:[bind(A,$fot(X_94)),bind(B,$fot(X_95))]]) ).
cnf(refute_0_273,plain,
( op_t(i(X_94),mult(X_94,X_95)) != mult(i(mult(X_94,X_95)),X_95)
| op_t(i(X_94),mult(X_94,X_95)) != mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95)))
| mult(i(mult(X_94,X_95)),X_95) = mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(i(X_94),mult(X_94,X_95)),mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95)))) ),[0],$fot(mult(i(mult(X_94,X_95)),X_95))]]) ).
cnf(refute_0_274,plain,
( op_t(i(X_94),mult(X_94,X_95)) != mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95)))
| mult(i(mult(X_94,X_95)),X_95) = mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) ),
inference(resolve,[$cnf( $equal(op_t(i(X_94),mult(X_94,X_95)),mult(i(mult(X_94,X_95)),X_95)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
mult(i(mult(X_94,X_95)),X_95) = mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))),
inference(resolve,[$cnf( $equal(op_t(i(X_94),mult(X_94,X_95)),mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95)))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
op_t(X_30,i(X_6)) = mult(i(i(X_6)),mult(X_30,i(X_6))),
inference(subst,[],[c14:[bind(A,$fot(X_30)),bind(B,$fot(i(X_6)))]]) ).
cnf(refute_0_277,plain,
( i(i(X_6)) != X_6
| op_t(X_30,i(X_6)) != mult(i(i(X_6)),mult(X_30,i(X_6)))
| op_t(X_30,i(X_6)) = mult(X_6,mult(X_30,i(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(X_30,i(X_6)),mult(i(i(X_6)),mult(X_30,i(X_6)))) ),[1,0],$fot(X_6)]]) ).
cnf(refute_0_278,plain,
( op_t(X_30,i(X_6)) != mult(i(i(X_6)),mult(X_30,i(X_6)))
| op_t(X_30,i(X_6)) = mult(X_6,mult(X_30,i(X_6))) ),
inference(resolve,[$cnf( $equal(i(i(X_6)),X_6) )],[refute_0_17,refute_0_277]) ).
cnf(refute_0_279,plain,
op_t(X_30,i(X_6)) = mult(X_6,mult(X_30,i(X_6))),
inference(resolve,[$cnf( $equal(op_t(X_30,i(X_6)),mult(i(i(X_6)),mult(X_30,i(X_6)))) )],[refute_0_276,refute_0_278]) ).
cnf(refute_0_280,plain,
( op_t(X_30,i(X_6)) != mult(X_6,mult(X_30,i(X_6)))
| mult(X_6,mult(X_30,i(X_6))) = op_t(X_30,i(X_6)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(op_t(X_30,i(X_6)))),bind(Y,$fot(mult(X_6,mult(X_30,i(X_6)))))]]) ).
cnf(refute_0_281,plain,
mult(X_6,mult(X_30,i(X_6))) = op_t(X_30,i(X_6)),
inference(resolve,[$cnf( $equal(op_t(X_30,i(X_6)),mult(X_6,mult(X_30,i(X_6)))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))) = op_t(X_94,i(mult(X_94,X_95))),
inference(subst,[],[refute_0_281:[bind(X_30,$fot(X_94)),bind(X_6,$fot(mult(X_94,X_95)))]]) ).
cnf(refute_0_283,plain,
i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))) = i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))),
introduced(tautology,[refl,[$fot(i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))))]]) ).
cnf(refute_0_284,plain,
( i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))) != i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))))
| mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))) != op_t(X_94,i(mult(X_94,X_95)))
| i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))) = i(op_t(X_94,i(mult(X_94,X_95)))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))),i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))))) ),[1,0],$fot(op_t(X_94,i(mult(X_94,X_95))))]]) ).
cnf(refute_0_285,plain,
( mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))) != op_t(X_94,i(mult(X_94,X_95)))
| i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))) = i(op_t(X_94,i(mult(X_94,X_95)))) ),
inference(resolve,[$cnf( $equal(i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))),i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))) = i(op_t(X_94,i(mult(X_94,X_95)))),
inference(resolve,[$cnf( $equal(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))),op_t(X_94,i(mult(X_94,X_95)))) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
i(mult(A,mult(X_37,i(X_38)))) = mult(i(A),i(mult(X_37,i(X_38)))),
inference(subst,[],[c05:[bind(B,$fot(mult(X_37,i(X_38))))]]) ).
cnf(refute_0_288,plain,
( i(mult(A,mult(X_37,i(X_38)))) != mult(i(A),i(mult(X_37,i(X_38))))
| i(mult(X_37,i(X_38))) != mult(i(X_37),X_38)
| i(mult(A,mult(X_37,i(X_38)))) = mult(i(A),mult(i(X_37),X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(A,mult(X_37,i(X_38)))),mult(i(A),i(mult(X_37,i(X_38))))) ),[1,1],$fot(mult(i(X_37),X_38))]]) ).
cnf(refute_0_289,plain,
( i(mult(A,mult(X_37,i(X_38)))) != mult(i(A),i(mult(X_37,i(X_38))))
| i(mult(A,mult(X_37,i(X_38)))) = mult(i(A),mult(i(X_37),X_38)) ),
inference(resolve,[$cnf( $equal(i(mult(X_37,i(X_38))),mult(i(X_37),X_38)) )],[refute_0_21,refute_0_288]) ).
cnf(refute_0_290,plain,
i(mult(A,mult(X_37,i(X_38)))) = mult(i(A),mult(i(X_37),X_38)),
inference(resolve,[$cnf( $equal(i(mult(A,mult(X_37,i(X_38)))),mult(i(A),i(mult(X_37,i(X_38))))) )],[refute_0_287,refute_0_289]) ).
cnf(refute_0_291,plain,
( i(mult(A,mult(X_37,i(X_38)))) != mult(i(A),mult(i(X_37),X_38))
| mult(i(A),mult(i(X_37),X_38)) = i(mult(A,mult(X_37,i(X_38)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(mult(A,mult(X_37,i(X_38)))))),bind(Y,$fot(mult(i(A),mult(i(X_37),X_38))))]]) ).
cnf(refute_0_292,plain,
mult(i(A),mult(i(X_37),X_38)) = i(mult(A,mult(X_37,i(X_38)))),
inference(resolve,[$cnf( $equal(i(mult(A,mult(X_37,i(X_38)))),mult(i(A),mult(i(X_37),X_38))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) = i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))),
inference(subst,[],[refute_0_292:[bind(A,$fot(mult(X_94,X_95))),bind(X_37,$fot(X_94)),bind(X_38,$fot(mult(X_94,X_95)))]]) ).
cnf(refute_0_294,plain,
( i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))) != i(op_t(X_94,i(mult(X_94,X_95))))
| mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) != i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))))
| mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) = i(op_t(X_94,i(mult(X_94,X_95)))) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))))),bind(Y,$fot(i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))))),bind(Z,$fot(i(op_t(X_94,i(mult(X_94,X_95))))))]]) ).
cnf(refute_0_295,plain,
( i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))) != i(op_t(X_94,i(mult(X_94,X_95))))
| mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) = i(op_t(X_94,i(mult(X_94,X_95)))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))),i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95)))))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) = i(op_t(X_94,i(mult(X_94,X_95)))),
inference(resolve,[$cnf( $equal(i(mult(mult(X_94,X_95),mult(X_94,i(mult(X_94,X_95))))),i(op_t(X_94,i(mult(X_94,X_95))))) )],[refute_0_286,refute_0_295]) ).
cnf(refute_0_297,plain,
( mult(i(mult(X_94,X_95)),X_95) != mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95)))
| mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))) != i(op_t(X_94,i(mult(X_94,X_95))))
| mult(i(mult(X_94,X_95)),X_95) = i(op_t(X_94,i(mult(X_94,X_95)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(mult(X_94,X_95)),X_95),i(op_t(X_94,i(mult(X_94,X_95))))) ),[0],$fot(mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))))]]) ).
cnf(refute_0_298,plain,
( mult(i(mult(X_94,X_95)),X_95) != mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95)))
| mult(i(mult(X_94,X_95)),X_95) = i(op_t(X_94,i(mult(X_94,X_95)))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95))),i(op_t(X_94,i(mult(X_94,X_95))))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
mult(i(mult(X_94,X_95)),X_95) = i(op_t(X_94,i(mult(X_94,X_95)))),
inference(resolve,[$cnf( $equal(mult(i(mult(X_94,X_95)),X_95),mult(i(mult(X_94,X_95)),mult(i(X_94),mult(X_94,X_95)))) )],[refute_0_275,refute_0_298]) ).
cnf(refute_0_300,plain,
mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) = i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))),
inference(subst,[],[refute_0_299:[bind(X_95,$fot(mult(i(X_94),B)))]]) ).
cnf(refute_0_301,plain,
( i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) != i(op_t(X_94,i(B)))
| mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) != i(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))))
| mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) = i(op_t(X_94,i(B))) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)))),bind(Y,$fot(i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))))),bind(Z,$fot(i(op_t(X_94,i(B)))))]]) ).
cnf(refute_0_302,plain,
( i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))) != i(op_t(X_94,i(B)))
| mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) = i(op_t(X_94,i(B))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)),i(op_t(X_94,i(mult(X_94,mult(i(X_94),B)))))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) = i(op_t(X_94,i(B))),
inference(resolve,[$cnf( $equal(i(op_t(X_94,i(mult(X_94,mult(i(X_94),B))))),i(op_t(X_94,i(B)))) )],[refute_0_270,refute_0_302]) ).
cnf(refute_0_304,plain,
( mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)) != i(op_t(X_94,i(B)))
| op_t(i(X_94),B) != mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))
| op_t(i(X_94),B) = i(op_t(X_94,i(B))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(i(X_94),B),mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))) ),[1],$fot(i(op_t(X_94,i(B))))]]) ).
cnf(refute_0_305,plain,
( op_t(i(X_94),B) != mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))
| op_t(i(X_94),B) = i(op_t(X_94,i(B))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B)),i(op_t(X_94,i(B)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
op_t(i(X_94),B) = i(op_t(X_94,i(B))),
inference(resolve,[$cnf( $equal(op_t(i(X_94),B),mult(i(mult(X_94,mult(i(X_94),B))),mult(i(X_94),B))) )],[refute_0_258,refute_0_305]) ).
cnf(refute_0_307,plain,
op_t(i(X_176),op_k(i(X_6),X_74)) = i(op_t(X_176,i(op_k(i(X_6),X_74)))),
inference(subst,[],[refute_0_306:[bind(B,$fot(op_k(i(X_6),X_74))),bind(X_94,$fot(X_176))]]) ).
cnf(refute_0_308,plain,
( i(op_k(i(X_6),X_74)) != op_k(X_6,i(X_74))
| op_t(i(X_176),op_k(i(X_6),X_74)) != i(op_t(X_176,i(op_k(i(X_6),X_74))))
| op_t(i(X_176),op_k(i(X_6),X_74)) = i(op_t(X_176,op_k(X_6,i(X_74)))) ),
introduced(tautology,[equality,[$cnf( $equal(op_t(i(X_176),op_k(i(X_6),X_74)),i(op_t(X_176,i(op_k(i(X_6),X_74))))) ),[1,0,1],$fot(op_k(X_6,i(X_74)))]]) ).
cnf(refute_0_309,plain,
( op_t(i(X_176),op_k(i(X_6),X_74)) != i(op_t(X_176,i(op_k(i(X_6),X_74))))
| op_t(i(X_176),op_k(i(X_6),X_74)) = i(op_t(X_176,op_k(X_6,i(X_74)))) ),
inference(resolve,[$cnf( $equal(i(op_k(i(X_6),X_74)),op_k(X_6,i(X_74))) )],[refute_0_213,refute_0_308]) ).
cnf(refute_0_310,plain,
op_t(i(X_176),op_k(i(X_6),X_74)) = i(op_t(X_176,op_k(X_6,i(X_74)))),
inference(resolve,[$cnf( $equal(op_t(i(X_176),op_k(i(X_6),X_74)),i(op_t(X_176,i(op_k(i(X_6),X_74))))) )],[refute_0_307,refute_0_309]) ).
cnf(refute_0_311,plain,
op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))),
inference(subst,[],[refute_0_310:[bind(X_176,$fot(op_k(X_41,X_42))),bind(X_6,$fot(mult(X_41,X_42))),bind(X_74,$fot(mult(X_42,X_41)))]]) ).
cnf(refute_0_312,plain,
( i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) != i(op_k(X_41,X_42))
| op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))))
| op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_k(X_41,X_42)) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))))),bind(Y,$fot(i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))))),bind(Z,$fot(i(op_k(X_41,X_42))))]]) ).
cnf(refute_0_313,plain,
( i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))) != i(op_k(X_41,X_42))
| op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_k(X_41,X_42)) ),
inference(resolve,[$cnf( $equal(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = i(op_k(X_41,X_42)),
inference(resolve,[$cnf( $equal(i(op_t(op_k(X_41,X_42),op_k(mult(X_41,X_42),i(mult(X_42,X_41))))),i(op_k(X_41,X_42))) )],[refute_0_249,refute_0_313]) ).
cnf(refute_0_315,plain,
rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),
introduced(tautology,[refl,[$fot(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))))]]) ).
cnf(refute_0_316,plain,
( op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_k(X_41,X_42))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))) ),[1,0],$fot(i(op_k(X_41,X_42)))]]) ).
cnf(refute_0_317,plain,
( op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_k(X_41,X_42))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) ),
inference(resolve,[$cnf( $equal(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),
inference(resolve,[$cnf( $equal(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),i(op_k(X_41,X_42))) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
( rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != rd(i(op_k(X_41,X_42)),op_k(X_42,X_41))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))))),bind(Y,$fot(rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))))),bind(Z,$fot(rd(i(op_k(X_41,X_42)),op_k(X_42,X_41))))]]) ).
cnf(refute_0_320,plain,
( rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != rd(i(op_k(X_41,X_42)),op_k(X_42,X_41))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) ),
inference(resolve,[$cnf( $equal(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) = rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_41,X_42)),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),rd(i(op_k(X_41,X_42)),op_k(X_42,X_41))) )],[refute_0_141,refute_0_320]) ).
cnf(refute_0_322,plain,
( rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != rd(i(op_k(X_41,X_42)),op_k(X_42,X_41))
| rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) = i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))) ),[0],$fot(rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)))]]) ).
cnf(refute_0_323,plain,
( rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) = i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) ),
inference(resolve,[$cnf( $equal(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),rd(i(op_k(X_41,X_42)),op_k(X_42,X_41))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = op_k(mult(X_41,X_42),i(mult(X_42,X_41))),
inference(subst,[],[refute_0_213:[bind(X_6,$fot(mult(X_41,X_42))),bind(X_74,$fot(mult(X_42,X_41)))]]) ).
cnf(refute_0_325,plain,
( i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) != op_k(mult(X_41,X_42),i(mult(X_42,X_41)))
| op_k(mult(X_41,X_42),i(mult(X_42,X_41))) != unit
| i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = unit ),
inference(subst,[],[refute_0_88:[bind(X,$fot(i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))))),bind(Y,$fot(op_k(mult(X_41,X_42),i(mult(X_42,X_41))))),bind(Z,$fot(unit))]]) ).
cnf(refute_0_326,plain,
( op_k(mult(X_41,X_42),i(mult(X_42,X_41))) != unit
| i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = unit ),
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),op_k(mult(X_41,X_42),i(mult(X_42,X_41)))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) = unit,
inference(resolve,[$cnf( $equal(op_k(mult(X_41,X_42),i(mult(X_42,X_41))),unit) )],[refute_0_238,refute_0_326]) ).
cnf(refute_0_328,plain,
( i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))) != unit
| rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) != i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) = unit ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)),i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))) ),[1],$fot(unit)]]) ).
cnf(refute_0_329,plain,
( rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) != i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) = unit ),
inference(resolve,[$cnf( $equal(i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),unit) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
( rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))) != i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))
| rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) = unit ),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)),i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))) )],[refute_0_323,refute_0_329]) ).
cnf(refute_0_331,plain,
rd(i(op_k(X_41,X_42)),op_k(X_42,X_41)) = unit,
inference(resolve,[$cnf( $equal(rd(op_t(i(op_k(X_41,X_42)),op_k(i(mult(X_41,X_42)),mult(X_42,X_41))),mult(i(mult(X_41,X_42)),mult(X_42,X_41))),i(op_k(i(mult(X_41,X_42)),mult(X_42,X_41)))) )],[refute_0_132,refute_0_330]) ).
cnf(refute_0_332,plain,
rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)) = unit,
inference(subst,[],[refute_0_331:[bind(X_41,$fot(X_394)),bind(X_42,$fot(X_395))]]) ).
cnf(refute_0_333,plain,
( rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)) != unit
| rd(i(op_k(X_394,X_395)),op_k(rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)),op_k(X_395,X_394))) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)),op_k(X_395,X_394))),mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))) ),[0,1,0],$fot(unit)]]) ).
cnf(refute_0_334,plain,
( rd(i(op_k(X_394,X_395)),op_k(rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)),op_k(X_395,X_394))) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) ),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)),unit) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)),op_k(X_395,X_394))),mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))) )],[refute_0_115,refute_0_334]) ).
cnf(refute_0_336,plain,
rd(unit,op_k(X_394,X_395)) = i(op_k(X_394,X_395)),
inference(subst,[],[refute_0_13:[bind(X_7,$fot(op_k(X_394,X_395)))]]) ).
cnf(refute_0_337,plain,
rd(i(unit),op_k(X_394,X_395)) = rd(i(unit),op_k(X_394,X_395)),
introduced(tautology,[refl,[$fot(rd(i(unit),op_k(X_394,X_395)))]]) ).
cnf(refute_0_338,plain,
( i(unit) != unit
| rd(i(unit),op_k(X_394,X_395)) != rd(i(unit),op_k(X_394,X_395))
| rd(i(unit),op_k(X_394,X_395)) = rd(unit,op_k(X_394,X_395)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(unit),op_k(X_394,X_395)),rd(i(unit),op_k(X_394,X_395))) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_339,plain,
( i(unit) != unit
| rd(i(unit),op_k(X_394,X_395)) = rd(unit,op_k(X_394,X_395)) ),
inference(resolve,[$cnf( $equal(rd(i(unit),op_k(X_394,X_395)),rd(i(unit),op_k(X_394,X_395))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
rd(i(unit),op_k(X_394,X_395)) = rd(unit,op_k(X_394,X_395)),
inference(resolve,[$cnf( $equal(i(unit),unit) )],[refute_0_152,refute_0_339]) ).
cnf(refute_0_341,plain,
( rd(i(unit),op_k(X_394,X_395)) != rd(unit,op_k(X_394,X_395))
| rd(unit,op_k(X_394,X_395)) != i(op_k(X_394,X_395))
| rd(i(unit),op_k(X_394,X_395)) = i(op_k(X_394,X_395)) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(rd(i(unit),op_k(X_394,X_395)))),bind(Y,$fot(rd(unit,op_k(X_394,X_395)))),bind(Z,$fot(i(op_k(X_394,X_395))))]]) ).
cnf(refute_0_342,plain,
( rd(unit,op_k(X_394,X_395)) != i(op_k(X_394,X_395))
| rd(i(unit),op_k(X_394,X_395)) = i(op_k(X_394,X_395)) ),
inference(resolve,[$cnf( $equal(rd(i(unit),op_k(X_394,X_395)),rd(unit,op_k(X_394,X_395))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
rd(i(unit),op_k(X_394,X_395)) = i(op_k(X_394,X_395)),
inference(resolve,[$cnf( $equal(rd(unit,op_k(X_394,X_395)),i(op_k(X_394,X_395))) )],[refute_0_336,refute_0_342]) ).
cnf(refute_0_344,plain,
rd(mult(i(A),mult(A,B)),mult(A,B)) = i(A),
inference(subst,[],[c07:[bind(A,$fot(i(A))),bind(B,$fot(mult(A,B)))]]) ).
cnf(refute_0_345,plain,
( mult(i(A),mult(A,B)) != B
| rd(mult(i(A),mult(A,B)),mult(A,B)) != i(A)
| rd(B,mult(A,B)) = i(A) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(A),mult(A,B)),mult(A,B)),i(A)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_346,plain,
( rd(mult(i(A),mult(A,B)),mult(A,B)) != i(A)
| rd(B,mult(A,B)) = i(A) ),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,B)),B) )],[c06,refute_0_345]) ).
cnf(refute_0_347,plain,
rd(B,mult(A,B)) = i(A),
inference(resolve,[$cnf( $equal(rd(mult(i(A),mult(A,B)),mult(A,B)),i(A)) )],[refute_0_344,refute_0_346]) ).
cnf(refute_0_348,plain,
rd(i(X_25),mult(i(X_24),i(X_25))) = i(i(X_24)),
inference(subst,[],[refute_0_347:[bind(A,$fot(i(X_24))),bind(B,$fot(i(X_25)))]]) ).
cnf(refute_0_349,plain,
i(mult(X_24,X_25)) = mult(i(X_24),i(X_25)),
inference(subst,[],[c05:[bind(A,$fot(X_24)),bind(B,$fot(X_25))]]) ).
cnf(refute_0_350,plain,
( i(mult(X_24,X_25)) != mult(i(X_24),i(X_25))
| mult(i(X_24),i(X_25)) = i(mult(X_24,X_25)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i(mult(X_24,X_25)))),bind(Y,$fot(mult(i(X_24),i(X_25))))]]) ).
cnf(refute_0_351,plain,
mult(i(X_24),i(X_25)) = i(mult(X_24,X_25)),
inference(resolve,[$cnf( $equal(i(mult(X_24,X_25)),mult(i(X_24),i(X_25))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( mult(i(X_24),i(X_25)) != i(mult(X_24,X_25))
| rd(i(X_25),mult(i(X_24),i(X_25))) != i(i(X_24))
| rd(i(X_25),i(mult(X_24,X_25))) = i(i(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(X_25),mult(i(X_24),i(X_25))),i(i(X_24))) ),[0,1],$fot(i(mult(X_24,X_25)))]]) ).
cnf(refute_0_353,plain,
( rd(i(X_25),mult(i(X_24),i(X_25))) != i(i(X_24))
| rd(i(X_25),i(mult(X_24,X_25))) = i(i(X_24)) ),
inference(resolve,[$cnf( $equal(mult(i(X_24),i(X_25)),i(mult(X_24,X_25))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
rd(i(X_25),i(mult(X_24,X_25))) = i(i(X_24)),
inference(resolve,[$cnf( $equal(rd(i(X_25),mult(i(X_24),i(X_25))),i(i(X_24))) )],[refute_0_348,refute_0_353]) ).
cnf(refute_0_355,plain,
i(i(X_24)) = X_24,
inference(subst,[],[refute_0_17:[bind(X_6,$fot(X_24))]]) ).
cnf(refute_0_356,plain,
( i(i(X_24)) != X_24
| rd(i(X_25),i(mult(X_24,X_25))) != i(i(X_24))
| rd(i(X_25),i(mult(X_24,X_25))) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(X_25),i(mult(X_24,X_25))),i(i(X_24))) ),[1],$fot(X_24)]]) ).
cnf(refute_0_357,plain,
( rd(i(X_25),i(mult(X_24,X_25))) != i(i(X_24))
| rd(i(X_25),i(mult(X_24,X_25))) = X_24 ),
inference(resolve,[$cnf( $equal(i(i(X_24)),X_24) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
rd(i(X_25),i(mult(X_24,X_25))) = X_24,
inference(resolve,[$cnf( $equal(rd(i(X_25),i(mult(X_24,X_25))),i(i(X_24))) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
rd(i(X_27),i(mult(rd(A,X_27),X_27))) = rd(A,X_27),
inference(subst,[],[refute_0_358:[bind(X_24,$fot(rd(A,X_27))),bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_360,plain,
mult(rd(A,X_27),X_27) = A,
inference(subst,[],[c08:[bind(B,$fot(X_27))]]) ).
cnf(refute_0_361,plain,
( mult(rd(A,X_27),X_27) != A
| rd(i(X_27),i(mult(rd(A,X_27),X_27))) != rd(A,X_27)
| rd(i(X_27),i(A)) = rd(A,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(X_27),i(mult(rd(A,X_27),X_27))),rd(A,X_27)) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_362,plain,
( rd(i(X_27),i(mult(rd(A,X_27),X_27))) != rd(A,X_27)
| rd(i(X_27),i(A)) = rd(A,X_27) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_27),X_27),A) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
rd(i(X_27),i(A)) = rd(A,X_27),
inference(resolve,[$cnf( $equal(rd(i(X_27),i(mult(rd(A,X_27),X_27))),rd(A,X_27)) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
rd(i(X_264),i(i(X_6))) = rd(i(X_6),X_264),
inference(subst,[],[refute_0_363:[bind(A,$fot(i(X_6))),bind(X_27,$fot(X_264))]]) ).
cnf(refute_0_365,plain,
( i(i(X_6)) != X_6
| rd(i(X_264),i(i(X_6))) != rd(i(X_6),X_264)
| rd(i(X_264),X_6) = rd(i(X_6),X_264) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(X_264),i(i(X_6))),rd(i(X_6),X_264)) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_366,plain,
( rd(i(X_264),i(i(X_6))) != rd(i(X_6),X_264)
| rd(i(X_264),X_6) = rd(i(X_6),X_264) ),
inference(resolve,[$cnf( $equal(i(i(X_6)),X_6) )],[refute_0_17,refute_0_365]) ).
cnf(refute_0_367,plain,
rd(i(X_264),X_6) = rd(i(X_6),X_264),
inference(resolve,[$cnf( $equal(rd(i(X_264),i(i(X_6))),rd(i(X_6),X_264)) )],[refute_0_364,refute_0_366]) ).
cnf(refute_0_368,plain,
( rd(i(X_264),X_6) != rd(i(X_6),X_264)
| rd(i(X_6),X_264) = rd(i(X_264),X_6) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(rd(i(X_264),X_6))),bind(Y,$fot(rd(i(X_6),X_264)))]]) ).
cnf(refute_0_369,plain,
rd(i(X_6),X_264) = rd(i(X_264),X_6),
inference(resolve,[$cnf( $equal(rd(i(X_264),X_6),rd(i(X_6),X_264)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
rd(i(op_k(X_394,X_395)),unit) = rd(i(unit),op_k(X_394,X_395)),
inference(subst,[],[refute_0_369:[bind(X_264,$fot(unit)),bind(X_6,$fot(op_k(X_394,X_395)))]]) ).
cnf(refute_0_371,plain,
( rd(i(op_k(X_394,X_395)),unit) != rd(i(unit),op_k(X_394,X_395))
| rd(i(unit),op_k(X_394,X_395)) != i(op_k(X_394,X_395))
| rd(i(op_k(X_394,X_395)),unit) = i(op_k(X_394,X_395)) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(rd(i(op_k(X_394,X_395)),unit))),bind(Y,$fot(rd(i(unit),op_k(X_394,X_395)))),bind(Z,$fot(i(op_k(X_394,X_395))))]]) ).
cnf(refute_0_372,plain,
( rd(i(unit),op_k(X_394,X_395)) != i(op_k(X_394,X_395))
| rd(i(op_k(X_394,X_395)),unit) = i(op_k(X_394,X_395)) ),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),unit),rd(i(unit),op_k(X_394,X_395))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
rd(i(op_k(X_394,X_395)),unit) = i(op_k(X_394,X_395)),
inference(resolve,[$cnf( $equal(rd(i(unit),op_k(X_394,X_395)),i(op_k(X_394,X_395))) )],[refute_0_343,refute_0_372]) ).
cnf(refute_0_374,plain,
mult(i(A),mult(A,op_k(unit,A))) = op_k(unit,A),
inference(subst,[],[c06:[bind(B,$fot(op_k(unit,A)))]]) ).
cnf(refute_0_375,plain,
mult(unit,X_42) = mult(mult(X_42,unit),op_k(unit,X_42)),
inference(subst,[],[c11:[bind(A,$fot(unit)),bind(B,$fot(X_42))]]) ).
cnf(refute_0_376,plain,
mult(X_42,unit) = X_42,
inference(subst,[],[c02:[bind(A,$fot(X_42))]]) ).
cnf(refute_0_377,plain,
( mult(X_42,unit) != X_42
| mult(unit,X_42) != mult(mult(X_42,unit),op_k(unit,X_42))
| mult(unit,X_42) = mult(X_42,op_k(unit,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,X_42),mult(mult(X_42,unit),op_k(unit,X_42))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_378,plain,
( mult(unit,X_42) != mult(mult(X_42,unit),op_k(unit,X_42))
| mult(unit,X_42) = mult(X_42,op_k(unit,X_42)) ),
inference(resolve,[$cnf( $equal(mult(X_42,unit),X_42) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
mult(unit,X_42) = mult(X_42,op_k(unit,X_42)),
inference(resolve,[$cnf( $equal(mult(unit,X_42),mult(mult(X_42,unit),op_k(unit,X_42))) )],[refute_0_375,refute_0_378]) ).
cnf(refute_0_380,plain,
mult(unit,X_42) = X_42,
inference(subst,[],[c01:[bind(A,$fot(X_42))]]) ).
cnf(refute_0_381,plain,
( mult(unit,X_42) != X_42
| mult(unit,X_42) != mult(X_42,op_k(unit,X_42))
| X_42 = mult(X_42,op_k(unit,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,X_42),mult(X_42,op_k(unit,X_42))) ),[0],$fot(X_42)]]) ).
cnf(refute_0_382,plain,
( mult(unit,X_42) != mult(X_42,op_k(unit,X_42))
| X_42 = mult(X_42,op_k(unit,X_42)) ),
inference(resolve,[$cnf( $equal(mult(unit,X_42),X_42) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
X_42 = mult(X_42,op_k(unit,X_42)),
inference(resolve,[$cnf( $equal(mult(unit,X_42),mult(X_42,op_k(unit,X_42))) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
A = mult(A,op_k(unit,A)),
inference(subst,[],[refute_0_383:[bind(X_42,$fot(A))]]) ).
cnf(refute_0_385,plain,
( A != mult(A,op_k(unit,A))
| mult(A,op_k(unit,A)) = A ),
inference(subst,[],[refute_0_38:[bind(X,$fot(A)),bind(Y,$fot(mult(A,op_k(unit,A))))]]) ).
cnf(refute_0_386,plain,
mult(A,op_k(unit,A)) = A,
inference(resolve,[$cnf( $equal(A,mult(A,op_k(unit,A))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( mult(A,op_k(unit,A)) != A
| mult(i(A),mult(A,op_k(unit,A))) != op_k(unit,A)
| mult(i(A),A) = op_k(unit,A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(A),mult(A,op_k(unit,A))),op_k(unit,A)) ),[0,1],$fot(A)]]) ).
cnf(refute_0_388,plain,
( mult(i(A),mult(A,op_k(unit,A))) != op_k(unit,A)
| mult(i(A),A) = op_k(unit,A) ),
inference(resolve,[$cnf( $equal(mult(A,op_k(unit,A)),A) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
mult(i(A),A) = op_k(unit,A),
inference(resolve,[$cnf( $equal(mult(i(A),mult(A,op_k(unit,A))),op_k(unit,A)) )],[refute_0_374,refute_0_388]) ).
cnf(refute_0_390,plain,
( mult(i(A),A) != op_k(unit,A)
| mult(i(A),A) != unit
| unit = op_k(unit,A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(A),A),op_k(unit,A)) ),[0],$fot(unit)]]) ).
cnf(refute_0_391,plain,
( mult(i(A),A) != op_k(unit,A)
| unit = op_k(unit,A) ),
inference(resolve,[$cnf( $equal(mult(i(A),A),unit) )],[c04,refute_0_390]) ).
cnf(refute_0_392,plain,
unit = op_k(unit,A),
inference(resolve,[$cnf( $equal(mult(i(A),A),op_k(unit,A)) )],[refute_0_389,refute_0_391]) ).
cnf(refute_0_393,plain,
( unit != op_k(unit,A)
| op_k(unit,A) = unit ),
inference(subst,[],[refute_0_38:[bind(X,$fot(unit)),bind(Y,$fot(op_k(unit,A)))]]) ).
cnf(refute_0_394,plain,
op_k(unit,A) = unit,
inference(resolve,[$cnf( $equal(unit,op_k(unit,A)) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
op_k(unit,op_k(X_395,X_394)) = unit,
inference(subst,[],[refute_0_394:[bind(A,$fot(op_k(X_395,X_394)))]]) ).
cnf(refute_0_396,plain,
rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))),
introduced(tautology,[refl,[$fot(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))))]]) ).
cnf(refute_0_397,plain,
( op_k(unit,op_k(X_395,X_394)) != unit
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) != rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394)))
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = rd(i(op_k(X_394,X_395)),unit) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))),rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_398,plain,
( op_k(unit,op_k(X_395,X_394)) != unit
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = rd(i(op_k(X_394,X_395)),unit) ),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))),rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394)))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = rd(i(op_k(X_394,X_395)),unit),
inference(resolve,[$cnf( $equal(op_k(unit,op_k(X_395,X_394)),unit) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
( rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) != rd(i(op_k(X_394,X_395)),unit)
| rd(i(op_k(X_394,X_395)),unit) != i(op_k(X_394,X_395))
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = i(op_k(X_394,X_395)) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))))),bind(Y,$fot(rd(i(op_k(X_394,X_395)),unit))),bind(Z,$fot(i(op_k(X_394,X_395))))]]) ).
cnf(refute_0_401,plain,
( rd(i(op_k(X_394,X_395)),unit) != i(op_k(X_394,X_395))
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = i(op_k(X_394,X_395)) ),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))),rd(i(op_k(X_394,X_395)),unit)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) = i(op_k(X_394,X_395)),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),unit),i(op_k(X_394,X_395))) )],[refute_0_373,refute_0_401]) ).
cnf(refute_0_403,plain,
( rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) != i(op_k(X_394,X_395))
| rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| i(op_k(X_394,X_395)) = mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))),mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))) ),[0],$fot(i(op_k(X_394,X_395)))]]) ).
cnf(refute_0_404,plain,
( rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| i(op_k(X_394,X_395)) = mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) ),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))),i(op_k(X_394,X_395))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
mult(op_k(X_395,X_394),unit) = op_k(X_395,X_394),
inference(subst,[],[c02:[bind(A,$fot(op_k(X_395,X_394)))]]) ).
cnf(refute_0_406,plain,
mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) = mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))),
introduced(tautology,[refl,[$fot(mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))))]]) ).
cnf(refute_0_407,plain,
( mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)) != unit
| mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) = mult(op_k(X_395,X_394),unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))),mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_408,plain,
( rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)) != unit
| mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) = mult(op_k(X_395,X_394),unit) ),
inference(resolve,[$cnf( $equal(mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))),mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) = mult(op_k(X_395,X_394),unit),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)),unit) )],[refute_0_332,refute_0_408]) ).
cnf(refute_0_410,plain,
( mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) != mult(op_k(X_395,X_394),unit)
| mult(op_k(X_395,X_394),unit) != op_k(X_395,X_394)
| mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) = op_k(X_395,X_394) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))))),bind(Y,$fot(mult(op_k(X_395,X_394),unit))),bind(Z,$fot(op_k(X_395,X_394)))]]) ).
cnf(refute_0_411,plain,
( mult(op_k(X_395,X_394),unit) != op_k(X_395,X_394)
| mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) = op_k(X_395,X_394) ),
inference(resolve,[$cnf( $equal(mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))),mult(op_k(X_395,X_394),unit)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) = op_k(X_395,X_394),
inference(resolve,[$cnf( $equal(mult(op_k(X_395,X_394),unit),op_k(X_395,X_394)) )],[refute_0_405,refute_0_411]) ).
cnf(refute_0_413,plain,
( i(op_k(X_394,X_395)) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))) != op_k(X_395,X_394)
| i(op_k(X_394,X_395)) = op_k(X_395,X_394) ),
introduced(tautology,[equality,[$cnf( ~ $equal(i(op_k(X_394,X_395)),op_k(X_395,X_394)) ),[0],$fot(mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))))]]) ).
cnf(refute_0_414,plain,
( i(op_k(X_394,X_395)) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| i(op_k(X_394,X_395)) = op_k(X_395,X_394) ),
inference(resolve,[$cnf( $equal(mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394))),op_k(X_395,X_394)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
( rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))) != mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))
| i(op_k(X_394,X_395)) = op_k(X_395,X_394) ),
inference(resolve,[$cnf( $equal(i(op_k(X_394,X_395)),mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))) )],[refute_0_404,refute_0_414]) ).
cnf(refute_0_416,plain,
i(op_k(X_394,X_395)) = op_k(X_395,X_394),
inference(resolve,[$cnf( $equal(rd(i(op_k(X_394,X_395)),op_k(unit,op_k(X_395,X_394))),mult(op_k(X_395,X_394),rd(i(op_k(X_394,X_395)),op_k(X_395,X_394)))) )],[refute_0_335,refute_0_415]) ).
cnf(refute_0_417,plain,
i(op_k(D,asoc(A,B,C))) = op_k(asoc(A,B,C),D),
inference(subst,[],[refute_0_416:[bind(X_394,$fot(D)),bind(X_395,$fot(asoc(A,B,C)))]]) ).
cnf(refute_0_418,plain,
( i(op_k(D,asoc(A,B,C))) != op_k(asoc(A,B,C),D)
| i(op_k(D,asoc(A,B,C))) != unit
| op_k(asoc(A,B,C),D) = unit ),
introduced(tautology,[equality,[$cnf( $equal(i(op_k(D,asoc(A,B,C))),unit) ),[0],$fot(op_k(asoc(A,B,C),D))]]) ).
cnf(refute_0_419,plain,
( i(op_k(D,asoc(A,B,C))) != unit
| op_k(asoc(A,B,C),D) = unit ),
inference(resolve,[$cnf( $equal(i(op_k(D,asoc(A,B,C))),op_k(asoc(A,B,C),D)) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
op_k(asoc(A,B,C),D) = unit,
inference(resolve,[$cnf( $equal(i(op_k(D,asoc(A,B,C))),unit) )],[refute_0_105,refute_0_419]) ).
cnf(refute_0_421,plain,
op_k(asoc(a,b,c),d) = unit,
inference(subst,[],[refute_0_420:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(d))]]) ).
cnf(refute_0_422,plain,
( op_k(asoc(a,b,c),d) != unit
| unit != unit
| op_k(asoc(a,b,c),d) = unit ),
introduced(tautology,[equality,[$cnf( ~ $equal(op_k(asoc(a,b,c),d),unit) ),[0],$fot(unit)]]) ).
cnf(refute_0_423,plain,
( unit != unit
| op_k(asoc(a,b,c),d) = unit ),
inference(resolve,[$cnf( $equal(op_k(asoc(a,b,c),d),unit) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
unit != unit,
inference(resolve,[$cnf( $equal(op_k(asoc(a,b,c),d),unit) )],[refute_0_423,goals]) ).
cnf(refute_0_425,plain,
unit = unit,
introduced(tautology,[refl,[$fot(unit)]]) ).
cnf(refute_0_426,plain,
$false,
inference(resolve,[$cnf( $equal(unit,unit) )],[refute_0_425,refute_0_424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 11:08:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.88/3.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.88/3.04
% 2.88/3.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.95/3.10
%------------------------------------------------------------------------------