TSTP Solution File: GRP754-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:50:39 EDT 2022
% Result : Unsatisfiable 18.05s 18.21s
% Output : CNFRefutation 18.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 50
% Syntax : Number of clauses : 186 ( 104 unt; 0 nHn; 81 RR)
% Number of literals : 305 ( 304 equ; 121 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 556 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(A,ld(A,B)) = B ).
cnf(f02,axiom,
ld(A,mult(A,B)) = B ).
cnf(f03,axiom,
mult(rd(A,B),B) = A ).
cnf(f04,axiom,
rd(mult(A,B),B) = A ).
cnf(f05,axiom,
mult(A,mult(B,C)) = mult(mult(rd(A,A),B),mult(A,C)) ).
cnf(f06,axiom,
mult(mult(A,B),C) = mult(mult(A,C),mult(B,ld(C,C))) ).
cnf(goals,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)) ).
cnf(refute_0_0,plain,
mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(mult(rd(X_31,X_31),X_32),C),mult(B,ld(C,C))),
inference(subst,[],[f06:[bind(A,$fot(mult(rd(X_31,X_31),X_32)))]]) ).
cnf(refute_0_1,plain,
mult(X_12,mult(X_13,ld(X_12,B))) = mult(mult(rd(X_12,X_12),X_13),mult(X_12,ld(X_12,B))),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(ld(X_12,B)))]]) ).
cnf(refute_0_2,plain,
mult(X_12,ld(X_12,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_3,plain,
( mult(X_12,ld(X_12,B)) != B
| mult(X_12,mult(X_13,ld(X_12,B))) != mult(mult(rd(X_12,X_12),X_13),mult(X_12,ld(X_12,B)))
| mult(X_12,mult(X_13,ld(X_12,B))) = mult(mult(rd(X_12,X_12),X_13),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_12,mult(X_13,ld(X_12,B))),mult(mult(rd(X_12,X_12),X_13),mult(X_12,ld(X_12,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_4,plain,
( mult(X_12,mult(X_13,ld(X_12,B))) != mult(mult(rd(X_12,X_12),X_13),mult(X_12,ld(X_12,B)))
| mult(X_12,mult(X_13,ld(X_12,B))) = mult(mult(rd(X_12,X_12),X_13),B) ),
inference(resolve,[$cnf( $equal(mult(X_12,ld(X_12,B)),B) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
mult(X_12,mult(X_13,ld(X_12,B))) = mult(mult(rd(X_12,X_12),X_13),B),
inference(resolve,[$cnf( $equal(mult(X_12,mult(X_13,ld(X_12,B))),mult(mult(rd(X_12,X_12),X_13),mult(X_12,ld(X_12,B)))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
mult(X_31,mult(X_32,ld(X_31,C))) = mult(mult(rd(X_31,X_31),X_32),C),
inference(subst,[],[refute_0_5:[bind(B,$fot(C)),bind(X_12,$fot(X_31)),bind(X_13,$fot(X_32))]]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( mult(X_31,mult(X_32,ld(X_31,C))) != mult(mult(rd(X_31,X_31),X_32),C)
| mult(mult(rd(X_31,X_31),X_32),C) = mult(X_31,mult(X_32,ld(X_31,C))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(X_31,mult(X_32,ld(X_31,C))))),bind(Y,$fot(mult(mult(rd(X_31,X_31),X_32),C)))]]) ).
cnf(refute_0_11,plain,
mult(mult(rd(X_31,X_31),X_32),C) = mult(X_31,mult(X_32,ld(X_31,C))),
inference(resolve,[$cnf( $equal(mult(X_31,mult(X_32,ld(X_31,C))),mult(mult(rd(X_31,X_31),X_32),C)) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( mult(mult(mult(rd(X_31,X_31),X_32),B),C) != mult(mult(mult(rd(X_31,X_31),X_32),C),mult(B,ld(C,C)))
| mult(mult(rd(X_31,X_31),X_32),C) != mult(X_31,mult(X_32,ld(X_31,C)))
| mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(rd(X_31,X_31),X_32),B),C),mult(mult(mult(rd(X_31,X_31),X_32),C),mult(B,ld(C,C)))) ),[1,0],$fot(mult(X_31,mult(X_32,ld(X_31,C))))]]) ).
cnf(refute_0_13,plain,
( mult(mult(mult(rd(X_31,X_31),X_32),B),C) != mult(mult(mult(rd(X_31,X_31),X_32),C),mult(B,ld(C,C)))
| mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_31,X_31),X_32),C),mult(X_31,mult(X_32,ld(X_31,C)))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C))),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(X_31,X_31),X_32),B),C),mult(mult(mult(rd(X_31,X_31),X_32),C),mult(B,ld(C,C)))) )],[refute_0_0,refute_0_13]) ).
cnf(refute_0_15,plain,
( mult(X_12,mult(X_13,ld(X_12,B))) != mult(mult(rd(X_12,X_12),X_13),B)
| mult(mult(rd(X_12,X_12),X_13),B) = mult(X_12,mult(X_13,ld(X_12,B))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(X_12,mult(X_13,ld(X_12,B))))),bind(Y,$fot(mult(mult(rd(X_12,X_12),X_13),B)))]]) ).
cnf(refute_0_16,plain,
mult(mult(rd(X_12,X_12),X_13),B) = mult(X_12,mult(X_13,ld(X_12,B))),
inference(resolve,[$cnf( $equal(mult(X_12,mult(X_13,ld(X_12,B))),mult(mult(rd(X_12,X_12),X_13),B)) )],[refute_0_5,refute_0_15]) ).
cnf(refute_0_17,plain,
mult(mult(rd(X_31,X_31),X_32),B) = mult(X_31,mult(X_32,ld(X_31,B))),
inference(subst,[],[refute_0_16:[bind(X_12,$fot(X_31)),bind(X_13,$fot(X_32))]]) ).
cnf(refute_0_18,plain,
mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(mult(rd(X_31,X_31),X_32),B),C),
introduced(tautology,[refl,[$fot(mult(mult(mult(rd(X_31,X_31),X_32),B),C))]]) ).
cnf(refute_0_19,plain,
( mult(mult(mult(rd(X_31,X_31),X_32),B),C) != mult(mult(mult(rd(X_31,X_31),X_32),B),C)
| mult(mult(rd(X_31,X_31),X_32),B) != mult(X_31,mult(X_32,ld(X_31,B)))
| mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(X_31,mult(X_32,ld(X_31,B))),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(rd(X_31,X_31),X_32),B),C),mult(mult(mult(rd(X_31,X_31),X_32),B),C)) ),[1,0],$fot(mult(X_31,mult(X_32,ld(X_31,B))))]]) ).
cnf(refute_0_20,plain,
( mult(mult(rd(X_31,X_31),X_32),B) != mult(X_31,mult(X_32,ld(X_31,B)))
| mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(X_31,mult(X_32,ld(X_31,B))),C) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(X_31,X_31),X_32),B),C),mult(mult(mult(rd(X_31,X_31),X_32),B),C)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
mult(mult(mult(rd(X_31,X_31),X_32),B),C) = mult(mult(X_31,mult(X_32,ld(X_31,B))),C),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_31,X_31),X_32),B),mult(X_31,mult(X_32,ld(X_31,B)))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( mult(mult(mult(rd(X_31,X_31),X_32),B),C) != mult(mult(X_31,mult(X_32,ld(X_31,B))),C)
| mult(mult(mult(rd(X_31,X_31),X_32),B),C) != mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C)))
| mult(mult(X_31,mult(X_32,ld(X_31,B))),C) = mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(rd(X_31,X_31),X_32),B),C),mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C)))) ),[0],$fot(mult(mult(X_31,mult(X_32,ld(X_31,B))),C))]]) ).
cnf(refute_0_23,plain,
( mult(mult(mult(rd(X_31,X_31),X_32),B),C) != mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C)))
| mult(mult(X_31,mult(X_32,ld(X_31,B))),C) = mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(X_31,X_31),X_32),B),C),mult(mult(X_31,mult(X_32,ld(X_31,B))),C)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
mult(mult(X_31,mult(X_32,ld(X_31,B))),C) = mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C))),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(X_31,X_31),X_32),B),C),mult(mult(X_31,mult(X_32,ld(X_31,C))),mult(B,ld(C,C)))) )],[refute_0_14,refute_0_23]) ).
cnf(refute_0_25,plain,
mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C) = mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))),
inference(subst,[],[refute_0_24:[bind(B,$fot(rd(mult(C,X_264),ld(C,C)))),bind(X_31,$fot(C))]]) ).
cnf(refute_0_26,plain,
mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,C),mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C))),
inference(subst,[],[f06:[bind(B,$fot(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))))]]) ).
cnf(refute_0_27,plain,
mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17) = mult(mult(X_15,X_17),mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17))),
inference(subst,[],[f06:[bind(A,$fot(X_15)),bind(B,$fot(rd(A,ld(X_17,X_17)))),bind(C,$fot(X_17))]]) ).
cnf(refute_0_28,plain,
mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17)) = A,
inference(subst,[],[f03:[bind(B,$fot(ld(X_17,X_17)))]]) ).
cnf(refute_0_29,plain,
( mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17) != mult(mult(X_15,X_17),mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17)))
| mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17)) != A
| mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17) = mult(mult(X_15,X_17),A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17),mult(mult(X_15,X_17),mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_30,plain,
( mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17) != mult(mult(X_15,X_17),mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17)))
| mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17) = mult(mult(X_15,X_17),A) ),
inference(resolve,[$cnf( $equal(mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17)),A) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17) = mult(mult(X_15,X_17),A),
inference(resolve,[$cnf( $equal(mult(mult(X_15,rd(A,ld(X_17,X_17))),X_17),mult(mult(X_15,X_17),mult(rd(A,ld(X_17,X_17)),ld(X_17,X_17)))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C)) = mult(mult(X_25,ld(C,C)),X_24),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_24)),bind(X_15,$fot(X_25)),bind(X_17,$fot(ld(C,C)))]]) ).
cnf(refute_0_33,plain,
( mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) != mult(mult(A,C),mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C)))
| mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C)) != mult(mult(X_25,ld(C,C)),X_24)
| mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),mult(mult(A,C),mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C)))) ),[1,1],$fot(mult(mult(X_25,ld(C,C)),X_24))]]) ).
cnf(refute_0_34,plain,
( mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) != mult(mult(A,C),mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C)))
| mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C)),mult(mult(X_25,ld(C,C)),X_24)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24)),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),mult(mult(A,C),mult(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),ld(C,C)))) )],[refute_0_26,refute_0_34]) ).
cnf(refute_0_36,plain,
ld(A,mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))) = rd(X_154,ld(ld(A,X_153),ld(A,X_153))),
inference(subst,[],[f02:[bind(B,$fot(rd(X_154,ld(ld(A,X_153),ld(A,X_153)))))]]) ).
cnf(refute_0_37,plain,
rd(mult(mult(X_25,rd(X_24,ld(B,B))),B),B) = mult(X_25,rd(X_24,ld(B,B))),
inference(subst,[],[f04:[bind(A,$fot(mult(X_25,rd(X_24,ld(B,B)))))]]) ).
cnf(refute_0_38,plain,
mult(mult(X_25,rd(X_24,ld(B,B))),B) = mult(mult(X_25,B),X_24),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_24)),bind(X_15,$fot(X_25)),bind(X_17,$fot(B))]]) ).
cnf(refute_0_39,plain,
( mult(mult(X_25,rd(X_24,ld(B,B))),B) != mult(mult(X_25,B),X_24)
| rd(mult(mult(X_25,rd(X_24,ld(B,B))),B),B) != mult(X_25,rd(X_24,ld(B,B)))
| rd(mult(mult(X_25,B),X_24),B) = mult(X_25,rd(X_24,ld(B,B))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_25,rd(X_24,ld(B,B))),B),B),mult(X_25,rd(X_24,ld(B,B)))) ),[0,0],$fot(mult(mult(X_25,B),X_24))]]) ).
cnf(refute_0_40,plain,
( rd(mult(mult(X_25,rd(X_24,ld(B,B))),B),B) != mult(X_25,rd(X_24,ld(B,B)))
| rd(mult(mult(X_25,B),X_24),B) = mult(X_25,rd(X_24,ld(B,B))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_25,rd(X_24,ld(B,B))),B),mult(mult(X_25,B),X_24)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
rd(mult(mult(X_25,B),X_24),B) = mult(X_25,rd(X_24,ld(B,B))),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_25,rd(X_24,ld(B,B))),B),B),mult(X_25,rd(X_24,ld(B,B)))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
rd(mult(mult(X_50,ld(X_50,B)),X_49),ld(X_50,B)) = mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B)))),
inference(subst,[],[refute_0_41:[bind(B,$fot(ld(X_50,B))),bind(X_24,$fot(X_49)),bind(X_25,$fot(X_50))]]) ).
cnf(refute_0_43,plain,
mult(X_50,ld(X_50,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_50))]]) ).
cnf(refute_0_44,plain,
( mult(X_50,ld(X_50,B)) != B
| rd(mult(mult(X_50,ld(X_50,B)),X_49),ld(X_50,B)) != mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B))))
| rd(mult(B,X_49),ld(X_50,B)) = mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_50,ld(X_50,B)),X_49),ld(X_50,B)),mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B))))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_45,plain,
( rd(mult(mult(X_50,ld(X_50,B)),X_49),ld(X_50,B)) != mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B))))
| rd(mult(B,X_49),ld(X_50,B)) = mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B)))) ),
inference(resolve,[$cnf( $equal(mult(X_50,ld(X_50,B)),B) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
rd(mult(B,X_49),ld(X_50,B)) = mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B)))),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_50,ld(X_50,B)),X_49),ld(X_50,B)),mult(X_50,rd(X_49,ld(ld(X_50,B),ld(X_50,B))))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
rd(mult(X_153,X_154),ld(A,X_153)) = mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153)))),
inference(subst,[],[refute_0_46:[bind(B,$fot(X_153)),bind(X_49,$fot(X_154)),bind(X_50,$fot(A))]]) ).
cnf(refute_0_48,plain,
( rd(mult(X_153,X_154),ld(A,X_153)) != mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))
| mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153)))) = rd(mult(X_153,X_154),ld(A,X_153)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(rd(mult(X_153,X_154),ld(A,X_153)))),bind(Y,$fot(mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))))]]) ).
cnf(refute_0_49,plain,
mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153)))) = rd(mult(X_153,X_154),ld(A,X_153)),
inference(resolve,[$cnf( $equal(rd(mult(X_153,X_154),ld(A,X_153)),mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ld(A,mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))) != rd(X_154,ld(ld(A,X_153),ld(A,X_153)))
| mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153)))) != rd(mult(X_153,X_154),ld(A,X_153))
| ld(A,rd(mult(X_153,X_154),ld(A,X_153))) = rd(X_154,ld(ld(A,X_153),ld(A,X_153))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))),rd(X_154,ld(ld(A,X_153),ld(A,X_153)))) ),[0,1],$fot(rd(mult(X_153,X_154),ld(A,X_153)))]]) ).
cnf(refute_0_51,plain,
( ld(A,mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))) != rd(X_154,ld(ld(A,X_153),ld(A,X_153)))
| ld(A,rd(mult(X_153,X_154),ld(A,X_153))) = rd(X_154,ld(ld(A,X_153),ld(A,X_153))) ),
inference(resolve,[$cnf( $equal(mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153)))),rd(mult(X_153,X_154),ld(A,X_153))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
ld(A,rd(mult(X_153,X_154),ld(A,X_153))) = rd(X_154,ld(ld(A,X_153),ld(A,X_153))),
inference(resolve,[$cnf( $equal(ld(A,mult(A,rd(X_154,ld(ld(A,X_153),ld(A,X_153))))),rd(X_154,ld(ld(A,X_153),ld(A,X_153)))) )],[refute_0_36,refute_0_51]) ).
cnf(refute_0_53,plain,
( ld(A,rd(mult(X_153,X_154),ld(A,X_153))) != rd(X_154,ld(ld(A,X_153),ld(A,X_153)))
| rd(X_154,ld(ld(A,X_153),ld(A,X_153))) = ld(A,rd(mult(X_153,X_154),ld(A,X_153))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(ld(A,rd(mult(X_153,X_154),ld(A,X_153))))),bind(Y,$fot(rd(X_154,ld(ld(A,X_153),ld(A,X_153)))))]]) ).
cnf(refute_0_54,plain,
rd(X_154,ld(ld(A,X_153),ld(A,X_153))) = ld(A,rd(mult(X_153,X_154),ld(A,X_153))),
inference(resolve,[$cnf( $equal(ld(A,rd(mult(X_153,X_154),ld(A,X_153))),rd(X_154,ld(ld(A,X_153),ld(A,X_153)))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
rd(X_24,ld(ld(C,C),ld(C,C))) = ld(C,rd(mult(C,X_24),ld(C,C))),
inference(subst,[],[refute_0_54:[bind(A,$fot(C)),bind(X_153,$fot(C)),bind(X_154,$fot(X_24))]]) ).
cnf(refute_0_56,plain,
mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))) = mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),
introduced(tautology,[refl,[$fot(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))))]]) ).
cnf(refute_0_57,plain,
( mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))) != mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))
| rd(X_24,ld(ld(C,C),ld(C,C))) != ld(C,rd(mult(C,X_24),ld(C,C)))
| mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))) = mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) ),[1,1],$fot(ld(C,rd(mult(C,X_24),ld(C,C))))]]) ).
cnf(refute_0_58,plain,
( rd(X_24,ld(ld(C,C),ld(C,C))) != ld(C,rd(mult(C,X_24),ld(C,C)))
| mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))) = mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C)))) ),
inference(resolve,[$cnf( $equal(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))) = mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C)))),
inference(resolve,[$cnf( $equal(rd(X_24,ld(ld(C,C),ld(C,C))),ld(C,rd(mult(C,X_24),ld(C,C)))) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) = mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),
introduced(tautology,[refl,[$fot(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))))]]) ).
cnf(refute_0_61,plain,
( mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) != mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))))
| mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))) != mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))
| mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) = mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))))) ),[1,1],$fot(mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C)))))]]) ).
cnf(refute_0_62,plain,
( mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))) != mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))
| mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) = mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))) ),
inference(resolve,[$cnf( $equal(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) = mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),
inference(resolve,[$cnf( $equal(mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C)))),mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),
introduced(tautology,[refl,[$fot(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C))]]) ).
cnf(refute_0_65,plain,
( mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) != mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C)))))
| mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) != mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C)
| mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C)) ),[1,0],$fot(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))))]]) ).
cnf(refute_0_66,plain,
( mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))) != mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C)))))
| mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) = mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C),
inference(resolve,[$cnf( $equal(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C)))))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) != mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24))
| mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) != mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C)
| mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C) = mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24))) ),[0],$fot(mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C))]]) ).
cnf(refute_0_69,plain,
( mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C) != mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24))
| mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C) = mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
mult(mult(A,mult(X_25,ld(C,rd(mult(C,X_24),ld(C,C))))),C) = mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24)),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_25,rd(X_24,ld(ld(C,C),ld(C,C))))),C),mult(mult(A,C),mult(mult(X_25,ld(C,C)),X_24))) )],[refute_0_35,refute_0_69]) ).
cnf(refute_0_71,plain,
mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C) = mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)),
inference(subst,[],[refute_0_70:[bind(A,$fot(C)),bind(X_24,$fot(X_264)),bind(X_25,$fot(X_32))]]) ).
cnf(refute_0_72,plain,
( mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C) != mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264))
| mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C) != mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C)))
| mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) = mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C),mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C)))) ),[0],$fot(mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)))]]) ).
cnf(refute_0_73,plain,
( mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C) != mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C)))
| mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) = mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C),mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) = mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))),
inference(resolve,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,rd(mult(C,X_264),ld(C,C))))),C),mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C)))) )],[refute_0_25,refute_0_73]) ).
cnf(refute_0_75,plain,
mult(C,ld(C,mult(C,X_264))) = mult(C,X_264),
inference(subst,[],[f01:[bind(A,$fot(C)),bind(B,$fot(mult(C,X_264)))]]) ).
cnf(refute_0_76,plain,
mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))),
introduced(tautology,[refl,[$fot(mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))))]]) ).
cnf(refute_0_77,plain,
( mult(C,ld(C,mult(C,X_264))) != mult(C,X_264)
| mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) != mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264))))
| mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))),mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264))))) ),[1,1],$fot(mult(C,X_264))]]) ).
cnf(refute_0_78,plain,
( mult(C,ld(C,mult(C,X_264))) != mult(C,X_264)
| mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
inference(resolve,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))),mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264))))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)),
inference(resolve,[$cnf( $equal(mult(C,ld(C,mult(C,X_264))),mult(C,X_264)) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
mult(mult(rd(A,X_17),X_16),X_17) = mult(mult(rd(A,X_17),X_17),mult(X_16,ld(X_17,X_17))),
inference(subst,[],[f06:[bind(A,$fot(rd(A,X_17))),bind(B,$fot(X_16)),bind(C,$fot(X_17))]]) ).
cnf(refute_0_81,plain,
mult(rd(A,X_17),X_17) = A,
inference(subst,[],[f03:[bind(B,$fot(X_17))]]) ).
cnf(refute_0_82,plain,
( mult(mult(rd(A,X_17),X_16),X_17) != mult(mult(rd(A,X_17),X_17),mult(X_16,ld(X_17,X_17)))
| mult(rd(A,X_17),X_17) != A
| mult(mult(rd(A,X_17),X_16),X_17) = mult(A,mult(X_16,ld(X_17,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(A,X_17),X_16),X_17),mult(mult(rd(A,X_17),X_17),mult(X_16,ld(X_17,X_17)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_83,plain,
( mult(mult(rd(A,X_17),X_16),X_17) != mult(mult(rd(A,X_17),X_17),mult(X_16,ld(X_17,X_17)))
| mult(mult(rd(A,X_17),X_16),X_17) = mult(A,mult(X_16,ld(X_17,X_17))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_17),X_17),A) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
mult(mult(rd(A,X_17),X_16),X_17) = mult(A,mult(X_16,ld(X_17,X_17))),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,X_17),X_16),X_17),mult(mult(rd(A,X_17),X_17),mult(X_16,ld(X_17,X_17)))) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
mult(mult(rd(C,C),X_32),C) = mult(C,mult(X_32,ld(C,C))),
inference(subst,[],[refute_0_84:[bind(A,$fot(C)),bind(X_16,$fot(X_32)),bind(X_17,$fot(C))]]) ).
cnf(refute_0_86,plain,
mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) = mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))),
introduced(tautology,[refl,[$fot(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))))]]) ).
cnf(refute_0_87,plain,
( mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) != mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))
| mult(mult(rd(C,C),X_32),C) != mult(C,mult(X_32,ld(C,C)))
| mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))),mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))) ),[1,0],$fot(mult(C,mult(X_32,ld(C,C))))]]) ).
cnf(refute_0_88,plain,
( mult(mult(rd(C,C),X_32),C) != mult(C,mult(X_32,ld(C,C)))
| mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))),mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))),
inference(resolve,[$cnf( $equal(mult(mult(rd(C,C),X_32),C),mult(C,mult(X_32,ld(C,C)))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_91,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_9,refute_0_90]) ).
cnf(refute_0_92,plain,
( mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) != mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))
| mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) != mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264))))
| mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
inference(subst,[],[refute_0_91:[bind(X,$fot(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))))),bind(Y,$fot(mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))))),bind(Z,$fot(mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))))]]) ).
cnf(refute_0_93,plain,
( mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))) != mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))
| mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))),mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264))))) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)),
inference(resolve,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,C))),mult(C,ld(C,mult(C,X_264)))),mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))) )],[refute_0_79,refute_0_93]) ).
cnf(refute_0_95,plain,
mult(mult(A,rd(X_141,ld(X_142,C))),C) = mult(mult(A,C),mult(rd(X_141,ld(X_142,C)),ld(C,C))),
inference(subst,[],[f06:[bind(B,$fot(rd(X_141,ld(X_142,C))))]]) ).
cnf(refute_0_96,plain,
ld(mult(X_15,X_17),mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))) = mult(X_16,ld(X_17,X_17)),
inference(subst,[],[f02:[bind(A,$fot(mult(X_15,X_17))),bind(B,$fot(mult(X_16,ld(X_17,X_17))))]]) ).
cnf(refute_0_97,plain,
mult(mult(X_15,X_16),X_17) = mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17))),
inference(subst,[],[f06:[bind(A,$fot(X_15)),bind(B,$fot(X_16)),bind(C,$fot(X_17))]]) ).
cnf(refute_0_98,plain,
( mult(mult(X_15,X_16),X_17) != mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))
| mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17))) = mult(mult(X_15,X_16),X_17) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(mult(X_15,X_16),X_17))),bind(Y,$fot(mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))))]]) ).
cnf(refute_0_99,plain,
mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17))) = mult(mult(X_15,X_16),X_17),
inference(resolve,[$cnf( $equal(mult(mult(X_15,X_16),X_17),mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( ld(mult(X_15,X_17),mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))) != mult(X_16,ld(X_17,X_17))
| mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17))) != mult(mult(X_15,X_16),X_17)
| ld(mult(X_15,X_17),mult(mult(X_15,X_16),X_17)) = mult(X_16,ld(X_17,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_15,X_17),mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))),mult(X_16,ld(X_17,X_17))) ),[0,1],$fot(mult(mult(X_15,X_16),X_17))]]) ).
cnf(refute_0_101,plain,
( ld(mult(X_15,X_17),mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))) != mult(X_16,ld(X_17,X_17))
| ld(mult(X_15,X_17),mult(mult(X_15,X_16),X_17)) = mult(X_16,ld(X_17,X_17)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17))),mult(mult(X_15,X_16),X_17)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
ld(mult(X_15,X_17),mult(mult(X_15,X_16),X_17)) = mult(X_16,ld(X_17,X_17)),
inference(resolve,[$cnf( $equal(ld(mult(X_15,X_17),mult(mult(X_15,X_17),mult(X_16,ld(X_17,X_17)))),mult(X_16,ld(X_17,X_17))) )],[refute_0_96,refute_0_101]) ).
cnf(refute_0_103,plain,
ld(mult(rd(X_12,X_12),X_38),mult(mult(rd(X_12,X_12),X_37),X_38)) = mult(X_37,ld(X_38,X_38)),
inference(subst,[],[refute_0_102:[bind(X_15,$fot(rd(X_12,X_12))),bind(X_16,$fot(X_37)),bind(X_17,$fot(X_38))]]) ).
cnf(refute_0_104,plain,
mult(X_12,mult(X_37,ld(X_12,X_38))) = mult(mult(rd(X_12,X_12),X_37),X_38),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_38)),bind(X_13,$fot(X_37))]]) ).
cnf(refute_0_105,plain,
( mult(X_12,mult(X_37,ld(X_12,X_38))) != mult(mult(rd(X_12,X_12),X_37),X_38)
| mult(mult(rd(X_12,X_12),X_37),X_38) = mult(X_12,mult(X_37,ld(X_12,X_38))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(X_12,mult(X_37,ld(X_12,X_38))))),bind(Y,$fot(mult(mult(rd(X_12,X_12),X_37),X_38)))]]) ).
cnf(refute_0_106,plain,
mult(mult(rd(X_12,X_12),X_37),X_38) = mult(X_12,mult(X_37,ld(X_12,X_38))),
inference(resolve,[$cnf( $equal(mult(X_12,mult(X_37,ld(X_12,X_38))),mult(mult(rd(X_12,X_12),X_37),X_38)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( ld(mult(rd(X_12,X_12),X_38),mult(mult(rd(X_12,X_12),X_37),X_38)) != mult(X_37,ld(X_38,X_38))
| mult(mult(rd(X_12,X_12),X_37),X_38) != mult(X_12,mult(X_37,ld(X_12,X_38)))
| ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) = mult(X_37,ld(X_38,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_12,X_12),X_38),mult(mult(rd(X_12,X_12),X_37),X_38)),mult(X_37,ld(X_38,X_38))) ),[0,1],$fot(mult(X_12,mult(X_37,ld(X_12,X_38))))]]) ).
cnf(refute_0_108,plain,
( ld(mult(rd(X_12,X_12),X_38),mult(mult(rd(X_12,X_12),X_37),X_38)) != mult(X_37,ld(X_38,X_38))
| ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) = mult(X_37,ld(X_38,X_38)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_12,X_12),X_37),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) = mult(X_37,ld(X_38,X_38)),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_12,X_12),X_38),mult(mult(rd(X_12,X_12),X_37),X_38)),mult(X_37,ld(X_38,X_38))) )],[refute_0_103,refute_0_108]) ).
cnf(refute_0_110,plain,
ld(mult(rd(X_12,X_12),X_13),mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))) = mult(X_12,X_14),
inference(subst,[],[f02:[bind(A,$fot(mult(rd(X_12,X_12),X_13))),bind(B,$fot(mult(X_12,X_14)))]]) ).
cnf(refute_0_111,plain,
mult(X_12,mult(X_13,X_14)) = mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14)),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_112,plain,
( mult(X_12,mult(X_13,X_14)) != mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))
| mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14)) = mult(X_12,mult(X_13,X_14)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(X_12,mult(X_13,X_14)))),bind(Y,$fot(mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))))]]) ).
cnf(refute_0_113,plain,
mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14)) = mult(X_12,mult(X_13,X_14)),
inference(resolve,[$cnf( $equal(mult(X_12,mult(X_13,X_14)),mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
( ld(mult(rd(X_12,X_12),X_13),mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))) != mult(X_12,X_14)
| mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14)) != mult(X_12,mult(X_13,X_14))
| ld(mult(rd(X_12,X_12),X_13),mult(X_12,mult(X_13,X_14))) = mult(X_12,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_12,X_12),X_13),mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))),mult(X_12,X_14)) ),[0,1],$fot(mult(X_12,mult(X_13,X_14)))]]) ).
cnf(refute_0_115,plain,
( ld(mult(rd(X_12,X_12),X_13),mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))) != mult(X_12,X_14)
| ld(mult(rd(X_12,X_12),X_13),mult(X_12,mult(X_13,X_14))) = mult(X_12,X_14) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14)),mult(X_12,mult(X_13,X_14))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
ld(mult(rd(X_12,X_12),X_13),mult(X_12,mult(X_13,X_14))) = mult(X_12,X_14),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_12,X_12),X_13),mult(mult(rd(X_12,X_12),X_13),mult(X_12,X_14))),mult(X_12,X_14)) )],[refute_0_110,refute_0_115]) ).
cnf(refute_0_117,plain,
ld(mult(rd(X_27,X_27),X_28),mult(X_27,mult(X_28,ld(X_28,B)))) = mult(X_27,ld(X_28,B)),
inference(subst,[],[refute_0_116:[bind(X_12,$fot(X_27)),bind(X_13,$fot(X_28)),bind(X_14,$fot(ld(X_28,B)))]]) ).
cnf(refute_0_118,plain,
mult(X_28,ld(X_28,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_28))]]) ).
cnf(refute_0_119,plain,
( ld(mult(rd(X_27,X_27),X_28),mult(X_27,mult(X_28,ld(X_28,B)))) != mult(X_27,ld(X_28,B))
| mult(X_28,ld(X_28,B)) != B
| ld(mult(rd(X_27,X_27),X_28),mult(X_27,B)) = mult(X_27,ld(X_28,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_27,X_27),X_28),mult(X_27,mult(X_28,ld(X_28,B)))),mult(X_27,ld(X_28,B))) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_120,plain,
( ld(mult(rd(X_27,X_27),X_28),mult(X_27,mult(X_28,ld(X_28,B)))) != mult(X_27,ld(X_28,B))
| ld(mult(rd(X_27,X_27),X_28),mult(X_27,B)) = mult(X_27,ld(X_28,B)) ),
inference(resolve,[$cnf( $equal(mult(X_28,ld(X_28,B)),B) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
ld(mult(rd(X_27,X_27),X_28),mult(X_27,B)) = mult(X_27,ld(X_28,B)),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_27,X_27),X_28),mult(X_27,mult(X_28,ld(X_28,B)))),mult(X_27,ld(X_28,B))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) = mult(X_12,ld(X_38,mult(X_37,ld(X_12,X_38)))),
inference(subst,[],[refute_0_121:[bind(B,$fot(mult(X_37,ld(X_12,X_38)))),bind(X_27,$fot(X_12)),bind(X_28,$fot(X_38))]]) ).
cnf(refute_0_123,plain,
( ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) != mult(X_12,ld(X_38,mult(X_37,ld(X_12,X_38))))
| ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) != mult(X_37,ld(X_38,X_38))
| mult(X_12,ld(X_38,mult(X_37,ld(X_12,X_38)))) = mult(X_37,ld(X_38,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))),mult(X_37,ld(X_38,X_38))) ),[0],$fot(mult(X_12,ld(X_38,mult(X_37,ld(X_12,X_38)))))]]) ).
cnf(refute_0_124,plain,
( ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))) != mult(X_37,ld(X_38,X_38))
| mult(X_12,ld(X_38,mult(X_37,ld(X_12,X_38)))) = mult(X_37,ld(X_38,X_38)) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))),mult(X_12,ld(X_38,mult(X_37,ld(X_12,X_38))))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
mult(X_12,ld(X_38,mult(X_37,ld(X_12,X_38)))) = mult(X_37,ld(X_38,X_38)),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_12,X_12),X_38),mult(X_12,mult(X_37,ld(X_12,X_38)))),mult(X_37,ld(X_38,X_38))) )],[refute_0_109,refute_0_124]) ).
cnf(refute_0_126,plain,
mult(X_78,ld(X_80,mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)))) = mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80)),
inference(subst,[],[refute_0_125:[bind(X_12,$fot(X_78)),bind(X_37,$fot(rd(A,ld(X_78,X_80)))),bind(X_38,$fot(X_80))]]) ).
cnf(refute_0_127,plain,
mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)) = A,
inference(subst,[],[f03:[bind(B,$fot(ld(X_78,X_80)))]]) ).
cnf(refute_0_128,plain,
( mult(X_78,ld(X_80,mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)))) != mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80))
| mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)) != A
| mult(X_78,ld(X_80,A)) = mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_78,ld(X_80,mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)))),mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80))) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_129,plain,
( mult(X_78,ld(X_80,mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)))) != mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80))
| mult(X_78,ld(X_80,A)) = mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)),A) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
mult(X_78,ld(X_80,A)) = mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80)),
inference(resolve,[$cnf( $equal(mult(X_78,ld(X_80,mult(rd(A,ld(X_78,X_80)),ld(X_78,X_80)))),mult(rd(A,ld(X_78,X_80)),ld(X_80,X_80))) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
mult(X_142,ld(C,X_141)) = mult(rd(X_141,ld(X_142,C)),ld(C,C)),
inference(subst,[],[refute_0_130:[bind(A,$fot(X_141)),bind(X_78,$fot(X_142)),bind(X_80,$fot(C))]]) ).
cnf(refute_0_132,plain,
( mult(X_142,ld(C,X_141)) != mult(rd(X_141,ld(X_142,C)),ld(C,C))
| mult(rd(X_141,ld(X_142,C)),ld(C,C)) = mult(X_142,ld(C,X_141)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(X_142,ld(C,X_141)))),bind(Y,$fot(mult(rd(X_141,ld(X_142,C)),ld(C,C))))]]) ).
cnf(refute_0_133,plain,
mult(rd(X_141,ld(X_142,C)),ld(C,C)) = mult(X_142,ld(C,X_141)),
inference(resolve,[$cnf( $equal(mult(X_142,ld(C,X_141)),mult(rd(X_141,ld(X_142,C)),ld(C,C))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( mult(mult(A,rd(X_141,ld(X_142,C))),C) != mult(mult(A,C),mult(rd(X_141,ld(X_142,C)),ld(C,C)))
| mult(rd(X_141,ld(X_142,C)),ld(C,C)) != mult(X_142,ld(C,X_141))
| mult(mult(A,rd(X_141,ld(X_142,C))),C) = mult(mult(A,C),mult(X_142,ld(C,X_141))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,rd(X_141,ld(X_142,C))),C),mult(mult(A,C),mult(rd(X_141,ld(X_142,C)),ld(C,C)))) ),[1,1],$fot(mult(X_142,ld(C,X_141)))]]) ).
cnf(refute_0_135,plain,
( mult(mult(A,rd(X_141,ld(X_142,C))),C) != mult(mult(A,C),mult(rd(X_141,ld(X_142,C)),ld(C,C)))
| mult(mult(A,rd(X_141,ld(X_142,C))),C) = mult(mult(A,C),mult(X_142,ld(C,X_141))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_141,ld(X_142,C)),ld(C,C)),mult(X_142,ld(C,X_141))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
mult(mult(A,rd(X_141,ld(X_142,C))),C) = mult(mult(A,C),mult(X_142,ld(C,X_141))),
inference(resolve,[$cnf( $equal(mult(mult(A,rd(X_141,ld(X_142,C))),C),mult(mult(A,C),mult(rd(X_141,ld(X_142,C)),ld(C,C)))) )],[refute_0_95,refute_0_135]) ).
cnf(refute_0_137,plain,
mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C) = mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))),
inference(subst,[],[refute_0_136:[bind(A,$fot(mult(rd(C,C),X_32))),bind(X_141,$fot(mult(C,X_264))),bind(X_142,$fot(C))]]) ).
cnf(refute_0_138,plain,
mult(mult(mult(rd(X_39,C),X_40),B),C) = mult(mult(mult(rd(X_39,C),X_40),C),mult(B,ld(C,C))),
inference(subst,[],[f06:[bind(A,$fot(mult(rd(X_39,C),X_40)))]]) ).
cnf(refute_0_139,plain,
mult(mult(rd(X_39,C),X_40),C) = mult(X_39,mult(X_40,ld(C,C))),
inference(subst,[],[refute_0_84:[bind(A,$fot(X_39)),bind(X_16,$fot(X_40)),bind(X_17,$fot(C))]]) ).
cnf(refute_0_140,plain,
( mult(mult(mult(rd(X_39,C),X_40),B),C) != mult(mult(mult(rd(X_39,C),X_40),C),mult(B,ld(C,C)))
| mult(mult(rd(X_39,C),X_40),C) != mult(X_39,mult(X_40,ld(C,C)))
| mult(mult(mult(rd(X_39,C),X_40),B),C) = mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(rd(X_39,C),X_40),B),C),mult(mult(mult(rd(X_39,C),X_40),C),mult(B,ld(C,C)))) ),[1,0],$fot(mult(X_39,mult(X_40,ld(C,C))))]]) ).
cnf(refute_0_141,plain,
( mult(mult(mult(rd(X_39,C),X_40),B),C) != mult(mult(mult(rd(X_39,C),X_40),C),mult(B,ld(C,C)))
| mult(mult(mult(rd(X_39,C),X_40),B),C) = mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_39,C),X_40),C),mult(X_39,mult(X_40,ld(C,C)))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
mult(mult(mult(rd(X_39,C),X_40),B),C) = mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C))),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(X_39,C),X_40),B),C),mult(mult(mult(rd(X_39,C),X_40),C),mult(B,ld(C,C)))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( mult(mult(mult(rd(X_39,C),X_40),B),C) != mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C)))
| mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C))) = mult(mult(mult(rd(X_39,C),X_40),B),C) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(mult(mult(rd(X_39,C),X_40),B),C))),bind(Y,$fot(mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C)))))]]) ).
cnf(refute_0_144,plain,
mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C))) = mult(mult(mult(rd(X_39,C),X_40),B),C),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(X_39,C),X_40),B),C),mult(mult(X_39,mult(X_40,ld(C,C))),mult(B,ld(C,C)))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) = mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C),
inference(subst,[],[refute_0_144:[bind(B,$fot(rd(mult(C,X_264),ld(C,C)))),bind(X_39,$fot(C)),bind(X_40,$fot(X_32))]]) ).
cnf(refute_0_146,plain,
( mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) != mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C)
| mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C) != mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))
| mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) = mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) ),
inference(subst,[],[refute_0_91:[bind(X,$fot(mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))))),bind(Y,$fot(mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C))),bind(Z,$fot(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))))]]) ).
cnf(refute_0_147,plain,
( mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C) != mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))
| mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) = mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) ),
inference(resolve,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))),mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) = mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(C,C),X_32),rd(mult(C,X_264),ld(C,C))),C),mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))) )],[refute_0_137,refute_0_147]) ).
cnf(refute_0_149,plain,
( mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) != mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))
| mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) != mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))
| mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
inference(subst,[],[refute_0_91:[bind(X,$fot(mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))))),bind(Y,$fot(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))))),bind(Z,$fot(mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))))]]) ).
cnf(refute_0_150,plain,
( mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))) != mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))
| mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
inference(resolve,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))),mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264))))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)),
inference(resolve,[$cnf( $equal(mult(mult(mult(rd(C,C),X_32),C),mult(C,ld(C,mult(C,X_264)))),mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))) )],[refute_0_94,refute_0_150]) ).
cnf(refute_0_152,plain,
( mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) != mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C)))
| mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))) != mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))
| mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)),mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))) ),[0],$fot(mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))))]]) ).
cnf(refute_0_153,plain,
( mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) != mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C)))
| mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)) ),
inference(resolve,[$cnf( $equal(mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C))),mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)) = mult(mult(C,mult(X_32,ld(C,C))),mult(C,X_264)),
inference(resolve,[$cnf( $equal(mult(mult(C,C),mult(mult(X_32,ld(C,C)),X_264)),mult(mult(C,mult(X_32,ld(C,C))),mult(rd(mult(C,X_264),ld(C,C)),ld(C,C)))) )],[refute_0_74,refute_0_153]) ).
cnf(refute_0_155,plain,
mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473))),mult(X_473,X_474)),
inference(subst,[],[refute_0_154:[bind(C,$fot(X_473)),bind(X_264,$fot(X_474)),bind(X_32,$fot(rd(A,ld(X_473,X_473))))]]) ).
cnf(refute_0_156,plain,
mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)) = A,
inference(subst,[],[f03:[bind(B,$fot(ld(X_473,X_473)))]]) ).
cnf(refute_0_157,plain,
( mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) != mult(mult(X_473,mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473))),mult(X_473,X_474))
| mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)) != A
| mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,A),mult(X_473,X_474)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),mult(mult(X_473,mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473))),mult(X_473,X_474))) ),[1,0,1],$fot(A)]]) ).
cnf(refute_0_158,plain,
( mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) != mult(mult(X_473,mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473))),mult(X_473,X_474))
| mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,A),mult(X_473,X_474)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),A) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,A),mult(X_473,X_474)),
inference(resolve,[$cnf( $equal(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),mult(mult(X_473,mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473))),mult(X_473,X_474))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474) = mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474),
introduced(tautology,[refl,[$fot(mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474))]]) ).
cnf(refute_0_161,plain,
( mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474) != mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)
| mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)) != A
| mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474) = mult(A,X_474) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_162,plain,
( mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)) != A
| mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474) = mult(A,X_474) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474) = mult(A,X_474),
inference(resolve,[$cnf( $equal(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),A) )],[refute_0_156,refute_0_162]) ).
cnf(refute_0_164,plain,
mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),
introduced(tautology,[refl,[$fot(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)))]]) ).
cnf(refute_0_165,plain,
( mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) != mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474))
| mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474) != mult(A,X_474)
| mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,X_473),mult(A,X_474)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474))) ),[1,1],$fot(mult(A,X_474))]]) ).
cnf(refute_0_166,plain,
( mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474) != mult(A,X_474)
| mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,X_473),mult(A,X_474)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) = mult(mult(X_473,X_473),mult(A,X_474)),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474),mult(A,X_474)) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
( mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) != mult(mult(X_473,A),mult(X_473,X_474))
| mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) != mult(mult(X_473,X_473),mult(A,X_474))
| mult(mult(X_473,X_473),mult(A,X_474)) = mult(mult(X_473,A),mult(X_473,X_474)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),mult(mult(X_473,A),mult(X_473,X_474))) ),[0],$fot(mult(mult(X_473,X_473),mult(A,X_474)))]]) ).
cnf(refute_0_169,plain,
( mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)) != mult(mult(X_473,A),mult(X_473,X_474))
| mult(mult(X_473,X_473),mult(A,X_474)) = mult(mult(X_473,A),mult(X_473,X_474)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),mult(mult(X_473,X_473),mult(A,X_474))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
mult(mult(X_473,X_473),mult(A,X_474)) = mult(mult(X_473,A),mult(X_473,X_474)),
inference(resolve,[$cnf( $equal(mult(mult(X_473,X_473),mult(mult(rd(A,ld(X_473,X_473)),ld(X_473,X_473)),X_474)),mult(mult(X_473,A),mult(X_473,X_474))) )],[refute_0_159,refute_0_169]) ).
cnf(refute_0_171,plain,
( mult(mult(X_473,X_473),mult(A,X_474)) != mult(mult(X_473,A),mult(X_473,X_474))
| mult(mult(X_473,A),mult(X_473,X_474)) = mult(mult(X_473,X_473),mult(A,X_474)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(mult(mult(X_473,X_473),mult(A,X_474)))),bind(Y,$fot(mult(mult(X_473,A),mult(X_473,X_474))))]]) ).
cnf(refute_0_172,plain,
mult(mult(X_473,A),mult(X_473,X_474)) = mult(mult(X_473,X_473),mult(A,X_474)),
inference(resolve,[$cnf( $equal(mult(mult(X_473,X_473),mult(A,X_474)),mult(mult(X_473,A),mult(X_473,X_474))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
mult(mult(a,b),mult(a,c)) = mult(mult(a,a),mult(b,c)),
inference(subst,[],[refute_0_172:[bind(A,$fot(b)),bind(X_473,$fot(a)),bind(X_474,$fot(c))]]) ).
cnf(refute_0_174,plain,
( mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c))
| mult(mult(a,b),mult(a,c)) != mult(mult(a,a),mult(b,c))
| mult(mult(a,a),mult(b,c)) = mult(mult(a,b),mult(a,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(a,a),mult(b,c)),mult(mult(a,b),mult(a,c))) ),[1],$fot(mult(mult(a,a),mult(b,c)))]]) ).
cnf(refute_0_175,plain,
( mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c))
| mult(mult(a,a),mult(b,c)) = mult(mult(a,b),mult(a,c)) ),
inference(resolve,[$cnf( $equal(mult(mult(a,b),mult(a,c)),mult(mult(a,a),mult(b,c))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c)),
inference(resolve,[$cnf( $equal(mult(mult(a,a),mult(b,c)),mult(mult(a,b),mult(a,c))) )],[refute_0_175,goals]) ).
cnf(refute_0_177,plain,
mult(mult(a,a),mult(b,c)) = mult(mult(a,a),mult(b,c)),
introduced(tautology,[refl,[$fot(mult(mult(a,a),mult(b,c)))]]) ).
cnf(refute_0_178,plain,
$false,
inference(resolve,[$cnf( $equal(mult(mult(a,a),mult(b,c)),mult(mult(a,a),mult(b,c))) )],[refute_0_177,refute_0_176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Tue Jun 14 09:38:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 18.05/18.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.05/18.21
% 18.05/18.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.05/18.23
%------------------------------------------------------------------------------