TSTP Solution File: GRP709-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 10:50:26 EDT 2022
% Result : Unsatisfiable 0.55s 0.71s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 49
% Syntax : Number of clauses : 209 ( 109 unt; 0 nHn; 118 RR)
% Number of literals : 352 ( 351 equ; 145 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 317 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c02,axiom,
ld(A,mult(A,B)) = B ).
cnf(c03,axiom,
mult(rd(A,B),B) = A ).
cnf(c06,axiom,
mult(unit,A) = A ).
cnf(c07,axiom,
mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ).
cnf(c08,axiom,
mult(op_c,A) = mult(A,op_c) ).
cnf(c09,axiom,
mult(A,mult(B,op_c)) = mult(mult(A,B),op_c) ).
cnf(goals,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( mult(op_c,A) != mult(A,op_c)
| mult(A,op_c) = mult(op_c,A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,A))),bind(Y,$fot(mult(A,op_c)))]]) ).
cnf(refute_0_4,plain,
mult(A,op_c) = mult(op_c,A),
inference(resolve,[$cnf( $equal(mult(op_c,A),mult(A,op_c)) )],[c08,refute_0_3]) ).
cnf(refute_0_5,plain,
mult(mult(A,B),op_c) = mult(op_c,mult(A,B)),
inference(subst,[],[refute_0_4:[bind(A,$fot(mult(A,B)))]]) ).
cnf(refute_0_6,plain,
( mult(A,mult(B,op_c)) != mult(mult(A,B),op_c)
| mult(mult(A,B),op_c) != mult(op_c,mult(A,B))
| mult(A,mult(B,op_c)) = mult(op_c,mult(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(B,op_c)),mult(op_c,mult(A,B))) ),[0],$fot(mult(mult(A,B),op_c))]]) ).
cnf(refute_0_7,plain,
( mult(A,mult(B,op_c)) != mult(mult(A,B),op_c)
| mult(A,mult(B,op_c)) = mult(op_c,mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,B),op_c),mult(op_c,mult(A,B))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
mult(A,mult(B,op_c)) = mult(op_c,mult(A,B)),
inference(resolve,[$cnf( $equal(mult(A,mult(B,op_c)),mult(mult(A,B),op_c)) )],[c09,refute_0_7]) ).
cnf(refute_0_9,plain,
mult(X_24,mult(X_25,op_c)) = mult(op_c,mult(X_24,X_25)),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_24)),bind(B,$fot(X_25))]]) ).
cnf(refute_0_10,plain,
mult(op_c,X_25) = mult(X_25,op_c),
inference(subst,[],[c08:[bind(A,$fot(X_25))]]) ).
cnf(refute_0_11,plain,
( mult(op_c,X_25) != mult(X_25,op_c)
| mult(X_25,op_c) = mult(op_c,X_25) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,X_25))),bind(Y,$fot(mult(X_25,op_c)))]]) ).
cnf(refute_0_12,plain,
mult(X_25,op_c) = mult(op_c,X_25),
inference(resolve,[$cnf( $equal(mult(op_c,X_25),mult(X_25,op_c)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( mult(X_24,mult(X_25,op_c)) != mult(op_c,mult(X_24,X_25))
| mult(X_25,op_c) != mult(op_c,X_25)
| mult(X_24,mult(op_c,X_25)) = mult(op_c,mult(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_24,mult(X_25,op_c)),mult(op_c,mult(X_24,X_25))) ),[0,1],$fot(mult(op_c,X_25))]]) ).
cnf(refute_0_14,plain,
( mult(X_24,mult(X_25,op_c)) != mult(op_c,mult(X_24,X_25))
| mult(X_24,mult(op_c,X_25)) = mult(op_c,mult(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(mult(X_25,op_c),mult(op_c,X_25)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
mult(X_24,mult(op_c,X_25)) = mult(op_c,mult(X_24,X_25)),
inference(resolve,[$cnf( $equal(mult(X_24,mult(X_25,op_c)),mult(op_c,mult(X_24,X_25))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
mult(X_64,mult(op_c,mult(A,B))) = mult(op_c,mult(X_64,mult(A,B))),
inference(subst,[],[refute_0_15:[bind(X_24,$fot(X_64)),bind(X_25,$fot(mult(A,B)))]]) ).
cnf(refute_0_17,plain,
( mult(A,mult(B,op_c)) != mult(op_c,mult(A,B))
| mult(op_c,mult(A,B)) = mult(A,mult(B,op_c)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(A,mult(B,op_c)))),bind(Y,$fot(mult(op_c,mult(A,B))))]]) ).
cnf(refute_0_18,plain,
mult(op_c,mult(A,B)) = mult(A,mult(B,op_c)),
inference(resolve,[$cnf( $equal(mult(A,mult(B,op_c)),mult(op_c,mult(A,B))) )],[refute_0_8,refute_0_17]) ).
cnf(refute_0_19,plain,
( mult(X_64,mult(op_c,mult(A,B))) != mult(op_c,mult(X_64,mult(A,B)))
| mult(op_c,mult(A,B)) != mult(A,mult(B,op_c))
| mult(X_64,mult(A,mult(B,op_c))) = mult(op_c,mult(X_64,mult(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_64,mult(op_c,mult(A,B))),mult(op_c,mult(X_64,mult(A,B)))) ),[0,1],$fot(mult(A,mult(B,op_c)))]]) ).
cnf(refute_0_20,plain,
( mult(X_64,mult(op_c,mult(A,B))) != mult(op_c,mult(X_64,mult(A,B)))
| mult(X_64,mult(A,mult(B,op_c))) = mult(op_c,mult(X_64,mult(A,B))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(A,B)),mult(A,mult(B,op_c))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
mult(X_64,mult(A,mult(B,op_c))) = mult(op_c,mult(X_64,mult(A,B))),
inference(resolve,[$cnf( $equal(mult(X_64,mult(op_c,mult(A,B))),mult(op_c,mult(X_64,mult(A,B)))) )],[refute_0_16,refute_0_20]) ).
cnf(refute_0_22,plain,
( mult(X_64,mult(A,mult(B,op_c))) != mult(op_c,mult(X_64,mult(A,B)))
| mult(op_c,mult(X_64,mult(A,B))) = mult(X_64,mult(A,mult(B,op_c))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_64,mult(A,mult(B,op_c))))),bind(Y,$fot(mult(op_c,mult(X_64,mult(A,B)))))]]) ).
cnf(refute_0_23,plain,
mult(op_c,mult(X_64,mult(A,B))) = mult(X_64,mult(A,mult(B,op_c))),
inference(resolve,[$cnf( $equal(mult(X_64,mult(A,mult(B,op_c))),mult(op_c,mult(X_64,mult(A,B)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
mult(op_c,mult(a,mult(b,op_c))) = mult(a,mult(b,mult(op_c,op_c))),
inference(subst,[],[refute_0_23:[bind(A,$fot(b)),bind(B,$fot(op_c)),bind(X_64,$fot(a))]]) ).
cnf(refute_0_25,plain,
mult(op_c,mult(X_67,mult(op_c,X_68))) = mult(mult(op_c,mult(X_67,op_c)),X_68),
inference(subst,[],[c07:[bind(A,$fot(op_c)),bind(B,$fot(X_67)),bind(C,$fot(X_68))]]) ).
cnf(refute_0_26,plain,
mult(op_c,X_68) = mult(X_68,op_c),
inference(subst,[],[c08:[bind(A,$fot(X_68))]]) ).
cnf(refute_0_27,plain,
( mult(op_c,X_68) != mult(X_68,op_c)
| mult(op_c,mult(X_67,mult(op_c,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(X_67,mult(X_68,op_c))) = mult(mult(op_c,mult(X_67,op_c)),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_67,mult(op_c,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) ),[0,1,1],$fot(mult(X_68,op_c))]]) ).
cnf(refute_0_28,plain,
( mult(op_c,mult(X_67,mult(op_c,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(X_67,mult(X_68,op_c))) = mult(mult(op_c,mult(X_67,op_c)),X_68) ),
inference(resolve,[$cnf( $equal(mult(op_c,X_68),mult(X_68,op_c)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
mult(op_c,mult(X_67,mult(X_68,op_c))) = mult(mult(op_c,mult(X_67,op_c)),X_68),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_67,mult(op_c,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
( mult(A,mult(B,mult(A,C))) != mult(mult(A,mult(B,A)),C)
| mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(A,mult(B,mult(A,C))))),bind(Y,$fot(mult(mult(A,mult(B,A)),C)))]]) ).
cnf(refute_0_31,plain,
mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))),
inference(resolve,[$cnf( $equal(mult(A,mult(B,mult(A,C))),mult(mult(A,mult(B,A)),C)) )],[c07,refute_0_30]) ).
cnf(refute_0_32,plain,
mult(mult(op_c,mult(X_67,op_c)),X_68) = mult(op_c,mult(X_67,mult(op_c,X_68))),
inference(subst,[],[refute_0_31:[bind(A,$fot(op_c)),bind(B,$fot(X_67)),bind(C,$fot(X_68))]]) ).
cnf(refute_0_33,plain,
( mult(mult(op_c,mult(X_67,op_c)),X_68) != mult(op_c,mult(X_67,mult(op_c,X_68)))
| mult(op_c,mult(X_67,mult(X_68,op_c))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(X_67,mult(X_68,op_c))) = mult(op_c,mult(X_67,mult(op_c,X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_67,mult(X_68,op_c))),mult(mult(op_c,mult(X_67,op_c)),X_68)) ),[1],$fot(mult(op_c,mult(X_67,mult(op_c,X_68))))]]) ).
cnf(refute_0_34,plain,
( mult(op_c,mult(X_67,mult(X_68,op_c))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(X_67,mult(X_68,op_c))) = mult(op_c,mult(X_67,mult(op_c,X_68))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,mult(X_67,op_c)),X_68),mult(op_c,mult(X_67,mult(op_c,X_68)))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
mult(op_c,mult(X_67,mult(X_68,op_c))) = mult(op_c,mult(X_67,mult(op_c,X_68))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_67,mult(X_68,op_c))),mult(mult(op_c,mult(X_67,op_c)),X_68)) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
( mult(op_c,mult(X_67,mult(X_68,op_c))) != mult(op_c,mult(X_67,mult(op_c,X_68)))
| mult(op_c,mult(X_67,mult(op_c,X_68))) = mult(op_c,mult(X_67,mult(X_68,op_c))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(X_67,mult(X_68,op_c))))),bind(Y,$fot(mult(op_c,mult(X_67,mult(op_c,X_68)))))]]) ).
cnf(refute_0_37,plain,
mult(op_c,mult(X_67,mult(op_c,X_68))) = mult(op_c,mult(X_67,mult(X_68,op_c))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_67,mult(X_68,op_c))),mult(op_c,mult(X_67,mult(op_c,X_68)))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
mult(op_c,mult(a,mult(op_c,b))) = mult(op_c,mult(a,mult(b,op_c))),
inference(subst,[],[refute_0_37:[bind(X_67,$fot(a)),bind(X_68,$fot(b))]]) ).
cnf(refute_0_39,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_40,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_39]) ).
cnf(refute_0_41,plain,
( mult(op_c,mult(a,mult(b,op_c))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(op_c,mult(a,mult(op_c,b))) != mult(op_c,mult(a,mult(b,op_c)))
| mult(op_c,mult(a,mult(op_c,b))) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(op_c,mult(a,mult(op_c,b))))),bind(Y,$fot(mult(op_c,mult(a,mult(b,op_c))))),bind(Z,$fot(mult(a,mult(b,mult(op_c,op_c)))))]]) ).
cnf(refute_0_42,plain,
( mult(op_c,mult(a,mult(b,op_c))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(op_c,mult(a,mult(op_c,b))) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(a,mult(op_c,b))),mult(op_c,mult(a,mult(b,op_c)))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
mult(op_c,mult(a,mult(op_c,b))) = mult(a,mult(b,mult(op_c,op_c))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(a,mult(b,op_c))),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_24,refute_0_42]) ).
cnf(refute_0_44,plain,
mult(X_67,mult(op_c,X_68)) = mult(op_c,mult(X_67,X_68)),
inference(subst,[],[refute_0_15:[bind(X_24,$fot(X_67)),bind(X_25,$fot(X_68))]]) ).
cnf(refute_0_45,plain,
( mult(X_67,mult(op_c,X_68)) != mult(op_c,mult(X_67,X_68))
| mult(op_c,mult(X_67,mult(op_c,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(op_c,mult(X_67,X_68))) = mult(mult(op_c,mult(X_67,op_c)),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_67,mult(op_c,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) ),[0,1],$fot(mult(op_c,mult(X_67,X_68)))]]) ).
cnf(refute_0_46,plain,
( mult(op_c,mult(X_67,mult(op_c,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(op_c,mult(X_67,X_68))) = mult(mult(op_c,mult(X_67,op_c)),X_68) ),
inference(resolve,[$cnf( $equal(mult(X_67,mult(op_c,X_68)),mult(op_c,mult(X_67,X_68))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
mult(op_c,mult(op_c,mult(X_67,X_68))) = mult(mult(op_c,mult(X_67,op_c)),X_68),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_67,mult(op_c,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) )],[refute_0_25,refute_0_46]) ).
cnf(refute_0_48,plain,
( mult(mult(op_c,mult(X_67,op_c)),X_68) != mult(op_c,mult(X_67,mult(op_c,X_68)))
| mult(op_c,mult(op_c,mult(X_67,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(op_c,mult(X_67,X_68))) = mult(op_c,mult(X_67,mult(op_c,X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(op_c,mult(X_67,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) ),[1],$fot(mult(op_c,mult(X_67,mult(op_c,X_68))))]]) ).
cnf(refute_0_49,plain,
( mult(op_c,mult(op_c,mult(X_67,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(op_c,mult(X_67,X_68))) = mult(op_c,mult(X_67,mult(op_c,X_68))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,mult(X_67,op_c)),X_68),mult(op_c,mult(X_67,mult(op_c,X_68)))) )],[refute_0_32,refute_0_48]) ).
cnf(refute_0_50,plain,
mult(op_c,mult(op_c,mult(X_67,X_68))) = mult(op_c,mult(X_67,mult(op_c,X_68))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,mult(X_67,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
mult(op_c,mult(op_c,mult(a,b))) = mult(op_c,mult(a,mult(op_c,b))),
inference(subst,[],[refute_0_50:[bind(X_67,$fot(a)),bind(X_68,$fot(b))]]) ).
cnf(refute_0_52,plain,
( mult(op_c,mult(a,mult(op_c,b))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(a,mult(op_c,b)))
| mult(op_c,mult(op_c,mult(a,b))) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(op_c,mult(op_c,mult(a,b))))),bind(Y,$fot(mult(op_c,mult(a,mult(op_c,b))))),bind(Z,$fot(mult(a,mult(b,mult(op_c,op_c)))))]]) ).
cnf(refute_0_53,plain,
( mult(op_c,mult(a,mult(op_c,b))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(op_c,mult(op_c,mult(a,b))) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,mult(a,b))),mult(op_c,mult(a,mult(op_c,b)))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
mult(op_c,mult(op_c,mult(a,b))) = mult(a,mult(b,mult(op_c,op_c))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(a,mult(op_c,b))),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_43,refute_0_53]) ).
cnf(refute_0_55,plain,
mult(X_66,mult(unit,mult(X_66,X_68))) = mult(mult(X_66,mult(unit,X_66)),X_68),
inference(subst,[],[c07:[bind(A,$fot(X_66)),bind(B,$fot(unit)),bind(C,$fot(X_68))]]) ).
cnf(refute_0_56,plain,
mult(unit,X_66) = X_66,
inference(subst,[],[c06:[bind(A,$fot(X_66))]]) ).
cnf(refute_0_57,plain,
( mult(X_66,mult(unit,mult(X_66,X_68))) != mult(mult(X_66,mult(unit,X_66)),X_68)
| mult(unit,X_66) != X_66
| mult(X_66,mult(unit,mult(X_66,X_68))) = mult(mult(X_66,X_66),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_66,mult(unit,mult(X_66,X_68))),mult(mult(X_66,mult(unit,X_66)),X_68)) ),[1,0,1],$fot(X_66)]]) ).
cnf(refute_0_58,plain,
( mult(X_66,mult(unit,mult(X_66,X_68))) != mult(mult(X_66,mult(unit,X_66)),X_68)
| mult(X_66,mult(unit,mult(X_66,X_68))) = mult(mult(X_66,X_66),X_68) ),
inference(resolve,[$cnf( $equal(mult(unit,X_66),X_66) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
mult(X_66,mult(unit,mult(X_66,X_68))) = mult(mult(X_66,X_66),X_68),
inference(resolve,[$cnf( $equal(mult(X_66,mult(unit,mult(X_66,X_68))),mult(mult(X_66,mult(unit,X_66)),X_68)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
mult(unit,mult(X_66,X_68)) = mult(X_66,X_68),
inference(subst,[],[c06:[bind(A,$fot(mult(X_66,X_68)))]]) ).
cnf(refute_0_61,plain,
mult(X_66,mult(unit,mult(X_66,X_68))) = mult(X_66,mult(unit,mult(X_66,X_68))),
introduced(tautology,[refl,[$fot(mult(X_66,mult(unit,mult(X_66,X_68))))]]) ).
cnf(refute_0_62,plain,
( mult(X_66,mult(unit,mult(X_66,X_68))) != mult(X_66,mult(unit,mult(X_66,X_68)))
| mult(unit,mult(X_66,X_68)) != mult(X_66,X_68)
| mult(X_66,mult(unit,mult(X_66,X_68))) = mult(X_66,mult(X_66,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_66,mult(unit,mult(X_66,X_68))),mult(X_66,mult(unit,mult(X_66,X_68)))) ),[1,1],$fot(mult(X_66,X_68))]]) ).
cnf(refute_0_63,plain,
( mult(unit,mult(X_66,X_68)) != mult(X_66,X_68)
| mult(X_66,mult(unit,mult(X_66,X_68))) = mult(X_66,mult(X_66,X_68)) ),
inference(resolve,[$cnf( $equal(mult(X_66,mult(unit,mult(X_66,X_68))),mult(X_66,mult(unit,mult(X_66,X_68)))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
mult(X_66,mult(unit,mult(X_66,X_68))) = mult(X_66,mult(X_66,X_68)),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_66,X_68)),mult(X_66,X_68)) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
( mult(X_66,mult(unit,mult(X_66,X_68))) != mult(X_66,mult(X_66,X_68))
| mult(X_66,mult(unit,mult(X_66,X_68))) != mult(mult(X_66,X_66),X_68)
| mult(X_66,mult(X_66,X_68)) = mult(mult(X_66,X_66),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_66,mult(unit,mult(X_66,X_68))),mult(mult(X_66,X_66),X_68)) ),[0],$fot(mult(X_66,mult(X_66,X_68)))]]) ).
cnf(refute_0_66,plain,
( mult(X_66,mult(unit,mult(X_66,X_68))) != mult(mult(X_66,X_66),X_68)
| mult(X_66,mult(X_66,X_68)) = mult(mult(X_66,X_66),X_68) ),
inference(resolve,[$cnf( $equal(mult(X_66,mult(unit,mult(X_66,X_68))),mult(X_66,mult(X_66,X_68))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
mult(X_66,mult(X_66,X_68)) = mult(mult(X_66,X_66),X_68),
inference(resolve,[$cnf( $equal(mult(X_66,mult(unit,mult(X_66,X_68))),mult(mult(X_66,X_66),X_68)) )],[refute_0_59,refute_0_66]) ).
cnf(refute_0_68,plain,
( mult(X_66,mult(X_66,X_68)) != mult(mult(X_66,X_66),X_68)
| mult(mult(X_66,X_66),X_68) = mult(X_66,mult(X_66,X_68)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_66,mult(X_66,X_68)))),bind(Y,$fot(mult(mult(X_66,X_66),X_68)))]]) ).
cnf(refute_0_69,plain,
mult(mult(X_66,X_66),X_68) = mult(X_66,mult(X_66,X_68)),
inference(resolve,[$cnf( $equal(mult(X_66,mult(X_66,X_68)),mult(mult(X_66,X_66),X_68)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
mult(mult(op_c,op_c),mult(a,b)) = mult(op_c,mult(op_c,mult(a,b))),
inference(subst,[],[refute_0_69:[bind(X_66,$fot(op_c)),bind(X_68,$fot(mult(a,b)))]]) ).
cnf(refute_0_71,plain,
( mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(op_c,mult(a,b)))
| mult(op_c,mult(op_c,mult(a,b))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(op_c,op_c),mult(a,b)) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(mult(op_c,op_c),mult(a,b)))),bind(Y,$fot(mult(op_c,mult(op_c,mult(a,b))))),bind(Z,$fot(mult(a,mult(b,mult(op_c,op_c)))))]]) ).
cnf(refute_0_72,plain,
( mult(op_c,mult(op_c,mult(a,b))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(op_c,op_c),mult(a,b)) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(a,b)),mult(op_c,mult(op_c,mult(a,b)))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
mult(mult(op_c,op_c),mult(a,b)) = mult(a,mult(b,mult(op_c,op_c))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,mult(a,b))),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_54,refute_0_72]) ).
cnf(refute_0_74,plain,
( mult(a,mult(b,mult(op_c,op_c))) != mult(mult(mult(op_c,op_c),a),b)
| mult(mult(op_c,op_c),mult(a,b)) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(op_c,op_c),mult(a,b)) = mult(mult(mult(op_c,op_c),a),b) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(op_c,op_c),mult(a,b)),mult(a,mult(b,mult(op_c,op_c)))) ),[1],$fot(mult(mult(mult(op_c,op_c),a),b))]]) ).
cnf(refute_0_75,plain,
( mult(a,mult(b,mult(op_c,op_c))) != mult(mult(mult(op_c,op_c),a),b)
| mult(mult(op_c,op_c),mult(a,b)) = mult(mult(mult(op_c,op_c),a),b) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(a,b)),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
mult(X_67,mult(op_c,op_c)) = mult(op_c,mult(X_67,op_c)),
inference(subst,[],[refute_0_15:[bind(X_24,$fot(X_67)),bind(X_25,$fot(op_c))]]) ).
cnf(refute_0_77,plain,
( mult(X_67,mult(op_c,op_c)) != mult(op_c,mult(X_67,op_c))
| mult(op_c,mult(X_67,op_c)) = mult(X_67,mult(op_c,op_c)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_67,mult(op_c,op_c)))),bind(Y,$fot(mult(op_c,mult(X_67,op_c))))]]) ).
cnf(refute_0_78,plain,
mult(op_c,mult(X_67,op_c)) = mult(X_67,mult(op_c,op_c)),
inference(resolve,[$cnf( $equal(mult(X_67,mult(op_c,op_c)),mult(op_c,mult(X_67,op_c))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( mult(op_c,mult(X_67,mult(op_c,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(X_67,op_c)) != mult(X_67,mult(op_c,op_c))
| mult(op_c,mult(X_67,mult(op_c,X_68))) = mult(mult(X_67,mult(op_c,op_c)),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_67,mult(op_c,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) ),[1,0],$fot(mult(X_67,mult(op_c,op_c)))]]) ).
cnf(refute_0_80,plain,
( mult(op_c,mult(X_67,mult(op_c,X_68))) != mult(mult(op_c,mult(X_67,op_c)),X_68)
| mult(op_c,mult(X_67,mult(op_c,X_68))) = mult(mult(X_67,mult(op_c,op_c)),X_68) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_67,op_c)),mult(X_67,mult(op_c,op_c))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
mult(op_c,mult(X_67,mult(op_c,X_68))) = mult(mult(X_67,mult(op_c,op_c)),X_68),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_67,mult(op_c,X_68))),mult(mult(op_c,mult(X_67,op_c)),X_68)) )],[refute_0_25,refute_0_80]) ).
cnf(refute_0_82,plain,
( mult(op_c,mult(X_67,mult(op_c,X_68))) != mult(mult(X_67,mult(op_c,op_c)),X_68)
| mult(mult(X_67,mult(op_c,op_c)),X_68) = mult(op_c,mult(X_67,mult(op_c,X_68))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(op_c,mult(X_67,mult(op_c,X_68))))),bind(Y,$fot(mult(mult(X_67,mult(op_c,op_c)),X_68)))]]) ).
cnf(refute_0_83,plain,
mult(mult(X_67,mult(op_c,op_c)),X_68) = mult(op_c,mult(X_67,mult(op_c,X_68))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_67,mult(op_c,X_68))),mult(mult(X_67,mult(op_c,op_c)),X_68)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
mult(mult(a,mult(op_c,op_c)),b) = mult(op_c,mult(a,mult(op_c,b))),
inference(subst,[],[refute_0_83:[bind(X_67,$fot(a)),bind(X_68,$fot(b))]]) ).
cnf(refute_0_85,plain,
( mult(mult(a,mult(op_c,op_c)),b) != mult(op_c,mult(a,mult(op_c,b)))
| mult(op_c,mult(a,mult(op_c,b))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(a,mult(op_c,op_c)),b) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(mult(a,mult(op_c,op_c)),b))),bind(Y,$fot(mult(op_c,mult(a,mult(op_c,b))))),bind(Z,$fot(mult(a,mult(b,mult(op_c,op_c)))))]]) ).
cnf(refute_0_86,plain,
( mult(op_c,mult(a,mult(op_c,b))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(a,mult(op_c,op_c)),b) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(resolve,[$cnf( $equal(mult(mult(a,mult(op_c,op_c)),b),mult(op_c,mult(a,mult(op_c,b)))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
mult(mult(a,mult(op_c,op_c)),b) = mult(a,mult(b,mult(op_c,op_c))),
inference(resolve,[$cnf( $equal(mult(op_c,mult(a,mult(op_c,b))),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_43,refute_0_86]) ).
cnf(refute_0_88,plain,
mult(A,mult(mult(X_25,op_c),op_c)) = mult(op_c,mult(A,mult(X_25,op_c))),
inference(subst,[],[refute_0_8:[bind(B,$fot(mult(X_25,op_c)))]]) ).
cnf(refute_0_89,plain,
mult(A,mult(X_25,op_c)) = mult(op_c,mult(A,X_25)),
inference(subst,[],[refute_0_8:[bind(B,$fot(X_25))]]) ).
cnf(refute_0_90,plain,
( mult(A,mult(X_25,op_c)) != mult(op_c,mult(A,X_25))
| mult(A,mult(mult(X_25,op_c),op_c)) != mult(op_c,mult(A,mult(X_25,op_c)))
| mult(A,mult(mult(X_25,op_c),op_c)) = mult(op_c,mult(op_c,mult(A,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(X_25,op_c),op_c)),mult(op_c,mult(A,mult(X_25,op_c)))) ),[1,1],$fot(mult(op_c,mult(A,X_25)))]]) ).
cnf(refute_0_91,plain,
( mult(A,mult(mult(X_25,op_c),op_c)) != mult(op_c,mult(A,mult(X_25,op_c)))
| mult(A,mult(mult(X_25,op_c),op_c)) = mult(op_c,mult(op_c,mult(A,X_25))) ),
inference(resolve,[$cnf( $equal(mult(A,mult(X_25,op_c)),mult(op_c,mult(A,X_25))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
mult(A,mult(mult(X_25,op_c),op_c)) = mult(op_c,mult(op_c,mult(A,X_25))),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(X_25,op_c),op_c)),mult(op_c,mult(A,mult(X_25,op_c)))) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
mult(mult(X_25,op_c),op_c) = mult(op_c,mult(X_25,op_c)),
inference(subst,[],[refute_0_4:[bind(A,$fot(mult(X_25,op_c)))]]) ).
cnf(refute_0_94,plain,
mult(A,mult(mult(X_25,op_c),op_c)) = mult(A,mult(mult(X_25,op_c),op_c)),
introduced(tautology,[refl,[$fot(mult(A,mult(mult(X_25,op_c),op_c)))]]) ).
cnf(refute_0_95,plain,
( mult(A,mult(mult(X_25,op_c),op_c)) != mult(A,mult(mult(X_25,op_c),op_c))
| mult(mult(X_25,op_c),op_c) != mult(op_c,mult(X_25,op_c))
| mult(A,mult(mult(X_25,op_c),op_c)) = mult(A,mult(op_c,mult(X_25,op_c))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(X_25,op_c),op_c)),mult(A,mult(mult(X_25,op_c),op_c))) ),[1,1],$fot(mult(op_c,mult(X_25,op_c)))]]) ).
cnf(refute_0_96,plain,
( mult(mult(X_25,op_c),op_c) != mult(op_c,mult(X_25,op_c))
| mult(A,mult(mult(X_25,op_c),op_c)) = mult(A,mult(op_c,mult(X_25,op_c))) ),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(X_25,op_c),op_c)),mult(A,mult(mult(X_25,op_c),op_c))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
mult(A,mult(mult(X_25,op_c),op_c)) = mult(A,mult(op_c,mult(X_25,op_c))),
inference(resolve,[$cnf( $equal(mult(mult(X_25,op_c),op_c),mult(op_c,mult(X_25,op_c))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( mult(A,mult(mult(X_25,op_c),op_c)) != mult(A,mult(op_c,mult(X_25,op_c)))
| mult(A,mult(mult(X_25,op_c),op_c)) != mult(op_c,mult(op_c,mult(A,X_25)))
| mult(A,mult(op_c,mult(X_25,op_c))) = mult(op_c,mult(op_c,mult(A,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(X_25,op_c),op_c)),mult(op_c,mult(op_c,mult(A,X_25)))) ),[0],$fot(mult(A,mult(op_c,mult(X_25,op_c))))]]) ).
cnf(refute_0_99,plain,
( mult(A,mult(mult(X_25,op_c),op_c)) != mult(op_c,mult(op_c,mult(A,X_25)))
| mult(A,mult(op_c,mult(X_25,op_c))) = mult(op_c,mult(op_c,mult(A,X_25))) ),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(X_25,op_c),op_c)),mult(A,mult(op_c,mult(X_25,op_c)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
mult(A,mult(op_c,mult(X_25,op_c))) = mult(op_c,mult(op_c,mult(A,X_25))),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(X_25,op_c),op_c)),mult(op_c,mult(op_c,mult(A,X_25)))) )],[refute_0_92,refute_0_99]) ).
cnf(refute_0_101,plain,
mult(X_52,mult(op_c,mult(rd(A,op_c),op_c))) = mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))),
inference(subst,[],[refute_0_100:[bind(A,$fot(X_52)),bind(X_25,$fot(rd(A,op_c)))]]) ).
cnf(refute_0_102,plain,
mult(rd(A,op_c),op_c) = A,
inference(subst,[],[c03:[bind(B,$fot(op_c))]]) ).
cnf(refute_0_103,plain,
( mult(X_52,mult(op_c,mult(rd(A,op_c),op_c))) != mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))
| mult(rd(A,op_c),op_c) != A
| mult(X_52,mult(op_c,A)) = mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_52,mult(op_c,mult(rd(A,op_c),op_c))),mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_104,plain,
( mult(X_52,mult(op_c,mult(rd(A,op_c),op_c))) != mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))
| mult(X_52,mult(op_c,A)) = mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,op_c),op_c),A) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
mult(X_52,mult(op_c,A)) = mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))),
inference(resolve,[$cnf( $equal(mult(X_52,mult(op_c,mult(rd(A,op_c),op_c))),mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
ld(op_c,mult(op_c,mult(X_52,A))) = mult(X_52,A),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(mult(X_52,A)))]]) ).
cnf(refute_0_107,plain,
ld(op_c,mult(op_c,mult(X_38,ld(op_c,X_37)))) = mult(X_38,ld(op_c,X_37)),
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(mult(X_38,ld(op_c,X_37))))]]) ).
cnf(refute_0_108,plain,
mult(X_24,mult(rd(A,op_c),op_c)) = mult(op_c,mult(X_24,rd(A,op_c))),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_24)),bind(B,$fot(rd(A,op_c)))]]) ).
cnf(refute_0_109,plain,
( mult(X_24,mult(rd(A,op_c),op_c)) != mult(op_c,mult(X_24,rd(A,op_c)))
| mult(rd(A,op_c),op_c) != A
| mult(X_24,A) = mult(op_c,mult(X_24,rd(A,op_c))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_24,mult(rd(A,op_c),op_c)),mult(op_c,mult(X_24,rd(A,op_c)))) ),[0,1],$fot(A)]]) ).
cnf(refute_0_110,plain,
( mult(X_24,mult(rd(A,op_c),op_c)) != mult(op_c,mult(X_24,rd(A,op_c)))
| mult(X_24,A) = mult(op_c,mult(X_24,rd(A,op_c))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,op_c),op_c),A) )],[refute_0_102,refute_0_109]) ).
cnf(refute_0_111,plain,
mult(X_24,A) = mult(op_c,mult(X_24,rd(A,op_c))),
inference(resolve,[$cnf( $equal(mult(X_24,mult(rd(A,op_c),op_c)),mult(op_c,mult(X_24,rd(A,op_c)))) )],[refute_0_108,refute_0_110]) ).
cnf(refute_0_112,plain,
ld(op_c,mult(op_c,X_7)) = X_7,
inference(subst,[],[c02:[bind(A,$fot(op_c)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_113,plain,
mult(op_c,X_7) = mult(X_7,op_c),
inference(subst,[],[c08:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_114,plain,
( ld(op_c,mult(op_c,X_7)) != X_7
| mult(op_c,X_7) != mult(X_7,op_c)
| ld(op_c,mult(X_7,op_c)) = X_7 ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,X_7)),X_7) ),[0,1],$fot(mult(X_7,op_c))]]) ).
cnf(refute_0_115,plain,
( ld(op_c,mult(op_c,X_7)) != X_7
| ld(op_c,mult(X_7,op_c)) = X_7 ),
inference(resolve,[$cnf( $equal(mult(op_c,X_7),mult(X_7,op_c)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
ld(op_c,mult(X_7,op_c)) = X_7,
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,X_7)),X_7) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
ld(op_c,mult(rd(X_12,op_c),op_c)) = rd(X_12,op_c),
inference(subst,[],[refute_0_116:[bind(X_7,$fot(rd(X_12,op_c)))]]) ).
cnf(refute_0_118,plain,
mult(rd(X_12,op_c),op_c) = X_12,
inference(subst,[],[c03:[bind(A,$fot(X_12)),bind(B,$fot(op_c))]]) ).
cnf(refute_0_119,plain,
( ld(op_c,mult(rd(X_12,op_c),op_c)) != rd(X_12,op_c)
| mult(rd(X_12,op_c),op_c) != X_12
| ld(op_c,X_12) = rd(X_12,op_c) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(rd(X_12,op_c),op_c)),rd(X_12,op_c)) ),[0,1],$fot(X_12)]]) ).
cnf(refute_0_120,plain,
( ld(op_c,mult(rd(X_12,op_c),op_c)) != rd(X_12,op_c)
| ld(op_c,X_12) = rd(X_12,op_c) ),
inference(resolve,[$cnf( $equal(mult(rd(X_12,op_c),op_c),X_12) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
ld(op_c,X_12) = rd(X_12,op_c),
inference(resolve,[$cnf( $equal(ld(op_c,mult(rd(X_12,op_c),op_c)),rd(X_12,op_c)) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( ld(op_c,X_12) != rd(X_12,op_c)
| rd(X_12,op_c) = ld(op_c,X_12) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(ld(op_c,X_12))),bind(Y,$fot(rd(X_12,op_c)))]]) ).
cnf(refute_0_123,plain,
rd(X_12,op_c) = ld(op_c,X_12),
inference(resolve,[$cnf( $equal(ld(op_c,X_12),rd(X_12,op_c)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
rd(A,op_c) = ld(op_c,A),
inference(subst,[],[refute_0_123:[bind(X_12,$fot(A))]]) ).
cnf(refute_0_125,plain,
mult(X_24,rd(A,op_c)) = mult(X_24,rd(A,op_c)),
introduced(tautology,[refl,[$fot(mult(X_24,rd(A,op_c)))]]) ).
cnf(refute_0_126,plain,
( mult(X_24,rd(A,op_c)) != mult(X_24,rd(A,op_c))
| rd(A,op_c) != ld(op_c,A)
| mult(X_24,rd(A,op_c)) = mult(X_24,ld(op_c,A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_24,rd(A,op_c)),mult(X_24,rd(A,op_c))) ),[1,1],$fot(ld(op_c,A))]]) ).
cnf(refute_0_127,plain,
( rd(A,op_c) != ld(op_c,A)
| mult(X_24,rd(A,op_c)) = mult(X_24,ld(op_c,A)) ),
inference(resolve,[$cnf( $equal(mult(X_24,rd(A,op_c)),mult(X_24,rd(A,op_c))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
mult(X_24,rd(A,op_c)) = mult(X_24,ld(op_c,A)),
inference(resolve,[$cnf( $equal(rd(A,op_c),ld(op_c,A)) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
mult(op_c,mult(X_24,rd(A,op_c))) = mult(op_c,mult(X_24,rd(A,op_c))),
introduced(tautology,[refl,[$fot(mult(op_c,mult(X_24,rd(A,op_c))))]]) ).
cnf(refute_0_130,plain,
( mult(X_24,rd(A,op_c)) != mult(X_24,ld(op_c,A))
| mult(op_c,mult(X_24,rd(A,op_c))) != mult(op_c,mult(X_24,rd(A,op_c)))
| mult(op_c,mult(X_24,rd(A,op_c))) = mult(op_c,mult(X_24,ld(op_c,A))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_24,rd(A,op_c))),mult(op_c,mult(X_24,rd(A,op_c)))) ),[1,1],$fot(mult(X_24,ld(op_c,A)))]]) ).
cnf(refute_0_131,plain,
( mult(X_24,rd(A,op_c)) != mult(X_24,ld(op_c,A))
| mult(op_c,mult(X_24,rd(A,op_c))) = mult(op_c,mult(X_24,ld(op_c,A))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_24,rd(A,op_c))),mult(op_c,mult(X_24,rd(A,op_c)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
mult(op_c,mult(X_24,rd(A,op_c))) = mult(op_c,mult(X_24,ld(op_c,A))),
inference(resolve,[$cnf( $equal(mult(X_24,rd(A,op_c)),mult(X_24,ld(op_c,A))) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( mult(X_24,A) != mult(op_c,mult(X_24,rd(A,op_c)))
| mult(op_c,mult(X_24,rd(A,op_c))) != mult(op_c,mult(X_24,ld(op_c,A)))
| mult(X_24,A) = mult(op_c,mult(X_24,ld(op_c,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_24,A),mult(op_c,mult(X_24,ld(op_c,A)))) ),[0],$fot(mult(op_c,mult(X_24,rd(A,op_c))))]]) ).
cnf(refute_0_134,plain,
( mult(X_24,A) != mult(op_c,mult(X_24,rd(A,op_c)))
| mult(X_24,A) = mult(op_c,mult(X_24,ld(op_c,A))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_24,rd(A,op_c))),mult(op_c,mult(X_24,ld(op_c,A)))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
mult(X_24,A) = mult(op_c,mult(X_24,ld(op_c,A))),
inference(resolve,[$cnf( $equal(mult(X_24,A),mult(op_c,mult(X_24,rd(A,op_c)))) )],[refute_0_111,refute_0_134]) ).
cnf(refute_0_136,plain,
mult(X_38,X_37) = mult(op_c,mult(X_38,ld(op_c,X_37))),
inference(subst,[],[refute_0_135:[bind(A,$fot(X_37)),bind(X_24,$fot(X_38))]]) ).
cnf(refute_0_137,plain,
( mult(X_38,X_37) != mult(op_c,mult(X_38,ld(op_c,X_37)))
| mult(op_c,mult(X_38,ld(op_c,X_37))) = mult(X_38,X_37) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_38,X_37))),bind(Y,$fot(mult(op_c,mult(X_38,ld(op_c,X_37)))))]]) ).
cnf(refute_0_138,plain,
mult(op_c,mult(X_38,ld(op_c,X_37))) = mult(X_38,X_37),
inference(resolve,[$cnf( $equal(mult(X_38,X_37),mult(op_c,mult(X_38,ld(op_c,X_37)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( ld(op_c,mult(op_c,mult(X_38,ld(op_c,X_37)))) != mult(X_38,ld(op_c,X_37))
| mult(op_c,mult(X_38,ld(op_c,X_37))) != mult(X_38,X_37)
| ld(op_c,mult(X_38,X_37)) = mult(X_38,ld(op_c,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(op_c,mult(op_c,mult(X_38,ld(op_c,X_37)))),mult(X_38,ld(op_c,X_37))) ),[0,1],$fot(mult(X_38,X_37))]]) ).
cnf(refute_0_140,plain,
( ld(op_c,mult(op_c,mult(X_38,ld(op_c,X_37)))) != mult(X_38,ld(op_c,X_37))
| ld(op_c,mult(X_38,X_37)) = mult(X_38,ld(op_c,X_37)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_38,ld(op_c,X_37))),mult(X_38,X_37)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
ld(op_c,mult(X_38,X_37)) = mult(X_38,ld(op_c,X_37)),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(X_38,ld(op_c,X_37)))),mult(X_38,ld(op_c,X_37))) )],[refute_0_107,refute_0_140]) ).
cnf(refute_0_142,plain,
( ld(op_c,mult(X_38,X_37)) != mult(X_38,ld(op_c,X_37))
| mult(X_38,ld(op_c,X_37)) = ld(op_c,mult(X_38,X_37)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(ld(op_c,mult(X_38,X_37)))),bind(Y,$fot(mult(X_38,ld(op_c,X_37))))]]) ).
cnf(refute_0_143,plain,
mult(X_38,ld(op_c,X_37)) = ld(op_c,mult(X_38,X_37)),
inference(resolve,[$cnf( $equal(ld(op_c,mult(X_38,X_37)),mult(X_38,ld(op_c,X_37))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
mult(op_c,ld(op_c,mult(X_52,A))) = ld(op_c,mult(op_c,mult(X_52,A))),
inference(subst,[],[refute_0_143:[bind(X_37,$fot(mult(X_52,A))),bind(X_38,$fot(op_c))]]) ).
cnf(refute_0_145,plain,
( ld(op_c,mult(op_c,mult(X_52,A))) != mult(X_52,A)
| mult(op_c,ld(op_c,mult(X_52,A))) != ld(op_c,mult(op_c,mult(X_52,A)))
| mult(op_c,ld(op_c,mult(X_52,A))) = mult(X_52,A) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(op_c,ld(op_c,mult(X_52,A))))),bind(Y,$fot(ld(op_c,mult(op_c,mult(X_52,A))))),bind(Z,$fot(mult(X_52,A)))]]) ).
cnf(refute_0_146,plain,
( ld(op_c,mult(op_c,mult(X_52,A))) != mult(X_52,A)
| mult(op_c,ld(op_c,mult(X_52,A))) = mult(X_52,A) ),
inference(resolve,[$cnf( $equal(mult(op_c,ld(op_c,mult(X_52,A))),ld(op_c,mult(op_c,mult(X_52,A)))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
mult(op_c,ld(op_c,mult(X_52,A))) = mult(X_52,A),
inference(resolve,[$cnf( $equal(ld(op_c,mult(op_c,mult(X_52,A))),mult(X_52,A)) )],[refute_0_106,refute_0_146]) ).
cnf(refute_0_148,plain,
mult(X_52,ld(op_c,A)) = ld(op_c,mult(X_52,A)),
inference(subst,[],[refute_0_143:[bind(X_37,$fot(A)),bind(X_38,$fot(X_52))]]) ).
cnf(refute_0_149,plain,
mult(X_52,rd(A,op_c)) = mult(X_52,rd(A,op_c)),
introduced(tautology,[refl,[$fot(mult(X_52,rd(A,op_c)))]]) ).
cnf(refute_0_150,plain,
( mult(X_52,rd(A,op_c)) != mult(X_52,rd(A,op_c))
| rd(A,op_c) != ld(op_c,A)
| mult(X_52,rd(A,op_c)) = mult(X_52,ld(op_c,A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_52,rd(A,op_c)),mult(X_52,rd(A,op_c))) ),[1,1],$fot(ld(op_c,A))]]) ).
cnf(refute_0_151,plain,
( rd(A,op_c) != ld(op_c,A)
| mult(X_52,rd(A,op_c)) = mult(X_52,ld(op_c,A)) ),
inference(resolve,[$cnf( $equal(mult(X_52,rd(A,op_c)),mult(X_52,rd(A,op_c))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
mult(X_52,rd(A,op_c)) = mult(X_52,ld(op_c,A)),
inference(resolve,[$cnf( $equal(rd(A,op_c),ld(op_c,A)) )],[refute_0_124,refute_0_151]) ).
cnf(refute_0_153,plain,
( mult(X_52,ld(op_c,A)) != ld(op_c,mult(X_52,A))
| mult(X_52,rd(A,op_c)) != mult(X_52,ld(op_c,A))
| mult(X_52,rd(A,op_c)) = ld(op_c,mult(X_52,A)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(X_52,rd(A,op_c)))),bind(Y,$fot(mult(X_52,ld(op_c,A)))),bind(Z,$fot(ld(op_c,mult(X_52,A))))]]) ).
cnf(refute_0_154,plain,
( mult(X_52,ld(op_c,A)) != ld(op_c,mult(X_52,A))
| mult(X_52,rd(A,op_c)) = ld(op_c,mult(X_52,A)) ),
inference(resolve,[$cnf( $equal(mult(X_52,rd(A,op_c)),mult(X_52,ld(op_c,A))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
mult(X_52,rd(A,op_c)) = ld(op_c,mult(X_52,A)),
inference(resolve,[$cnf( $equal(mult(X_52,ld(op_c,A)),ld(op_c,mult(X_52,A))) )],[refute_0_148,refute_0_154]) ).
cnf(refute_0_156,plain,
mult(op_c,mult(X_52,rd(A,op_c))) = mult(op_c,mult(X_52,rd(A,op_c))),
introduced(tautology,[refl,[$fot(mult(op_c,mult(X_52,rd(A,op_c))))]]) ).
cnf(refute_0_157,plain,
( mult(X_52,rd(A,op_c)) != ld(op_c,mult(X_52,A))
| mult(op_c,mult(X_52,rd(A,op_c))) != mult(op_c,mult(X_52,rd(A,op_c)))
| mult(op_c,mult(X_52,rd(A,op_c))) = mult(op_c,ld(op_c,mult(X_52,A))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(X_52,rd(A,op_c))),mult(op_c,mult(X_52,rd(A,op_c)))) ),[1,1],$fot(ld(op_c,mult(X_52,A)))]]) ).
cnf(refute_0_158,plain,
( mult(X_52,rd(A,op_c)) != ld(op_c,mult(X_52,A))
| mult(op_c,mult(X_52,rd(A,op_c))) = mult(op_c,ld(op_c,mult(X_52,A))) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_52,rd(A,op_c))),mult(op_c,mult(X_52,rd(A,op_c)))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
mult(op_c,mult(X_52,rd(A,op_c))) = mult(op_c,ld(op_c,mult(X_52,A))),
inference(resolve,[$cnf( $equal(mult(X_52,rd(A,op_c)),ld(op_c,mult(X_52,A))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
( mult(op_c,ld(op_c,mult(X_52,A))) != mult(X_52,A)
| mult(op_c,mult(X_52,rd(A,op_c))) != mult(op_c,ld(op_c,mult(X_52,A)))
| mult(op_c,mult(X_52,rd(A,op_c))) = mult(X_52,A) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(op_c,mult(X_52,rd(A,op_c))))),bind(Y,$fot(mult(op_c,ld(op_c,mult(X_52,A))))),bind(Z,$fot(mult(X_52,A)))]]) ).
cnf(refute_0_161,plain,
( mult(op_c,ld(op_c,mult(X_52,A))) != mult(X_52,A)
| mult(op_c,mult(X_52,rd(A,op_c))) = mult(X_52,A) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_52,rd(A,op_c))),mult(op_c,ld(op_c,mult(X_52,A)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
mult(op_c,mult(X_52,rd(A,op_c))) = mult(X_52,A),
inference(resolve,[$cnf( $equal(mult(op_c,ld(op_c,mult(X_52,A))),mult(X_52,A)) )],[refute_0_147,refute_0_161]) ).
cnf(refute_0_163,plain,
mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) = mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))),
introduced(tautology,[refl,[$fot(mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))))]]) ).
cnf(refute_0_164,plain,
( mult(op_c,mult(X_52,rd(A,op_c))) != mult(X_52,A)
| mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) != mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))
| mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) = mult(op_c,mult(X_52,A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))),mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))) ),[1,1],$fot(mult(X_52,A))]]) ).
cnf(refute_0_165,plain,
( mult(op_c,mult(X_52,rd(A,op_c))) != mult(X_52,A)
| mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) = mult(op_c,mult(X_52,A)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))),mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) = mult(op_c,mult(X_52,A)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(X_52,rd(A,op_c))),mult(X_52,A)) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
( mult(X_52,mult(op_c,A)) != mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))
| mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))) != mult(op_c,mult(X_52,A))
| mult(X_52,mult(op_c,A)) = mult(op_c,mult(X_52,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_52,mult(op_c,A)),mult(op_c,mult(X_52,A))) ),[0],$fot(mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))))]]) ).
cnf(refute_0_168,plain,
( mult(X_52,mult(op_c,A)) != mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))
| mult(X_52,mult(op_c,A)) = mult(op_c,mult(X_52,A)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,mult(X_52,rd(A,op_c)))),mult(op_c,mult(X_52,A))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
mult(X_52,mult(op_c,A)) = mult(op_c,mult(X_52,A)),
inference(resolve,[$cnf( $equal(mult(X_52,mult(op_c,A)),mult(op_c,mult(op_c,mult(X_52,rd(A,op_c))))) )],[refute_0_105,refute_0_168]) ).
cnf(refute_0_170,plain,
( mult(X_52,mult(op_c,A)) != mult(op_c,mult(X_52,A))
| mult(op_c,mult(X_52,A)) = mult(X_52,mult(op_c,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_52,mult(op_c,A)))),bind(Y,$fot(mult(op_c,mult(X_52,A))))]]) ).
cnf(refute_0_171,plain,
mult(op_c,mult(X_52,A)) = mult(X_52,mult(op_c,A)),
inference(resolve,[$cnf( $equal(mult(X_52,mult(op_c,A)),mult(op_c,mult(X_52,A))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
mult(op_c,mult(a,op_c)) = mult(a,mult(op_c,op_c)),
inference(subst,[],[refute_0_171:[bind(A,$fot(op_c)),bind(X_52,$fot(a))]]) ).
cnf(refute_0_173,plain,
mult(A,mult(op_c,B)) = mult(op_c,mult(A,B)),
inference(subst,[],[refute_0_15:[bind(X_24,$fot(A)),bind(X_25,$fot(B))]]) ).
cnf(refute_0_174,plain,
( mult(A,mult(op_c,B)) != mult(op_c,mult(A,B))
| mult(op_c,mult(A,B)) = mult(A,mult(op_c,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(A,mult(op_c,B)))),bind(Y,$fot(mult(op_c,mult(A,B))))]]) ).
cnf(refute_0_175,plain,
mult(op_c,mult(A,B)) = mult(A,mult(op_c,B)),
inference(resolve,[$cnf( $equal(mult(A,mult(op_c,B)),mult(op_c,mult(A,B))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( mult(A,mult(B,op_c)) != mult(op_c,mult(A,B))
| mult(op_c,mult(A,B)) != mult(A,mult(op_c,B))
| mult(A,mult(B,op_c)) = mult(A,mult(op_c,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(B,op_c)),mult(A,mult(op_c,B))) ),[0],$fot(mult(op_c,mult(A,B)))]]) ).
cnf(refute_0_177,plain,
( mult(A,mult(B,op_c)) != mult(op_c,mult(A,B))
| mult(A,mult(B,op_c)) = mult(A,mult(op_c,B)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(A,B)),mult(A,mult(op_c,B))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
mult(A,mult(B,op_c)) = mult(A,mult(op_c,B)),
inference(resolve,[$cnf( $equal(mult(A,mult(B,op_c)),mult(op_c,mult(A,B))) )],[refute_0_8,refute_0_177]) ).
cnf(refute_0_179,plain,
( mult(A,mult(B,op_c)) != mult(A,mult(op_c,B))
| mult(A,mult(op_c,B)) = mult(A,mult(B,op_c)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(mult(A,mult(B,op_c)))),bind(Y,$fot(mult(A,mult(op_c,B))))]]) ).
cnf(refute_0_180,plain,
mult(A,mult(op_c,B)) = mult(A,mult(B,op_c)),
inference(resolve,[$cnf( $equal(mult(A,mult(B,op_c)),mult(A,mult(op_c,B))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
mult(op_c,mult(op_c,a)) = mult(op_c,mult(a,op_c)),
inference(subst,[],[refute_0_180:[bind(A,$fot(op_c)),bind(B,$fot(a))]]) ).
cnf(refute_0_182,plain,
( mult(op_c,mult(a,op_c)) != mult(a,mult(op_c,op_c))
| mult(op_c,mult(op_c,a)) != mult(op_c,mult(a,op_c))
| mult(op_c,mult(op_c,a)) = mult(a,mult(op_c,op_c)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(op_c,mult(op_c,a)))),bind(Y,$fot(mult(op_c,mult(a,op_c)))),bind(Z,$fot(mult(a,mult(op_c,op_c))))]]) ).
cnf(refute_0_183,plain,
( mult(op_c,mult(a,op_c)) != mult(a,mult(op_c,op_c))
| mult(op_c,mult(op_c,a)) = mult(a,mult(op_c,op_c)) ),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,a)),mult(op_c,mult(a,op_c))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
mult(op_c,mult(op_c,a)) = mult(a,mult(op_c,op_c)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(a,op_c)),mult(a,mult(op_c,op_c))) )],[refute_0_172,refute_0_183]) ).
cnf(refute_0_185,plain,
mult(mult(op_c,op_c),a) = mult(op_c,mult(op_c,a)),
inference(subst,[],[refute_0_69:[bind(X_66,$fot(op_c)),bind(X_68,$fot(a))]]) ).
cnf(refute_0_186,plain,
( mult(mult(op_c,op_c),a) != mult(op_c,mult(op_c,a))
| mult(op_c,mult(op_c,a)) != mult(a,mult(op_c,op_c))
| mult(mult(op_c,op_c),a) = mult(a,mult(op_c,op_c)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(mult(op_c,op_c),a))),bind(Y,$fot(mult(op_c,mult(op_c,a)))),bind(Z,$fot(mult(a,mult(op_c,op_c))))]]) ).
cnf(refute_0_187,plain,
( mult(op_c,mult(op_c,a)) != mult(a,mult(op_c,op_c))
| mult(mult(op_c,op_c),a) = mult(a,mult(op_c,op_c)) ),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),a),mult(op_c,mult(op_c,a))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
mult(mult(op_c,op_c),a) = mult(a,mult(op_c,op_c)),
inference(resolve,[$cnf( $equal(mult(op_c,mult(op_c,a)),mult(a,mult(op_c,op_c))) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
mult(mult(mult(op_c,op_c),a),b) = mult(mult(mult(op_c,op_c),a),b),
introduced(tautology,[refl,[$fot(mult(mult(mult(op_c,op_c),a),b))]]) ).
cnf(refute_0_190,plain,
( mult(mult(mult(op_c,op_c),a),b) != mult(mult(mult(op_c,op_c),a),b)
| mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c))
| mult(mult(mult(op_c,op_c),a),b) = mult(mult(a,mult(op_c,op_c)),b) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(op_c,op_c),a),b),mult(mult(mult(op_c,op_c),a),b)) ),[1,0],$fot(mult(a,mult(op_c,op_c)))]]) ).
cnf(refute_0_191,plain,
( mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c))
| mult(mult(mult(op_c,op_c),a),b) = mult(mult(a,mult(op_c,op_c)),b) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),a),b),mult(mult(mult(op_c,op_c),a),b)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
mult(mult(mult(op_c,op_c),a),b) = mult(mult(a,mult(op_c,op_c)),b),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),a),mult(a,mult(op_c,op_c))) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
( mult(mult(a,mult(op_c,op_c)),b) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(mult(op_c,op_c),a),b) != mult(mult(a,mult(op_c,op_c)),b)
| mult(mult(mult(op_c,op_c),a),b) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(mult(mult(mult(op_c,op_c),a),b))),bind(Y,$fot(mult(mult(a,mult(op_c,op_c)),b))),bind(Z,$fot(mult(a,mult(b,mult(op_c,op_c)))))]]) ).
cnf(refute_0_194,plain,
( mult(mult(a,mult(op_c,op_c)),b) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(mult(op_c,op_c),a),b) = mult(a,mult(b,mult(op_c,op_c))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),a),b),mult(mult(a,mult(op_c,op_c)),b)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
mult(mult(mult(op_c,op_c),a),b) = mult(a,mult(b,mult(op_c,op_c))),
inference(resolve,[$cnf( $equal(mult(mult(a,mult(op_c,op_c)),b),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_87,refute_0_194]) ).
cnf(refute_0_196,plain,
( mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(mult(op_c,op_c),a),b) != mult(a,mult(b,mult(op_c,op_c)))
| mult(a,mult(b,mult(op_c,op_c))) = mult(mult(mult(op_c,op_c),a),b) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(a,mult(b,mult(op_c,op_c))),mult(mult(mult(op_c,op_c),a),b)) ),[1],$fot(mult(a,mult(b,mult(op_c,op_c))))]]) ).
cnf(refute_0_197,plain,
( mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(a,mult(b,mult(op_c,op_c))) = mult(mult(mult(op_c,op_c),a),b) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(op_c,op_c),a),b),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
( mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(b,mult(op_c,op_c)))
| mult(mult(op_c,op_c),mult(a,b)) = mult(mult(mult(op_c,op_c),a),b) ),
inference(resolve,[$cnf( $equal(mult(a,mult(b,mult(op_c,op_c))),mult(mult(mult(op_c,op_c),a),b)) )],[refute_0_197,refute_0_75]) ).
cnf(refute_0_199,plain,
mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(b,mult(op_c,op_c))),
inference(resolve,[$cnf( $equal(mult(mult(op_c,op_c),mult(a,b)),mult(mult(mult(op_c,op_c),a),b)) )],[refute_0_198,goals]) ).
cnf(refute_0_200,plain,
mult(a,mult(b,mult(op_c,op_c))) = mult(a,mult(b,mult(op_c,op_c))),
introduced(tautology,[refl,[$fot(mult(a,mult(b,mult(op_c,op_c))))]]) ).
cnf(refute_0_201,plain,
$false,
inference(resolve,[$cnf( $equal(mult(a,mult(b,mult(op_c,op_c))),mult(a,mult(b,mult(op_c,op_c)))) )],[refute_0_200,refute_0_199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 23:12:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.55/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.71
% 0.55/0.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.55/0.73
%------------------------------------------------------------------------------