TSTP Solution File: GRP710+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP710+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 10:50:27 EDT 2022
% Result : Theorem 0.37s 0.56s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 148
% Syntax : Number of formulae : 579 ( 320 unt; 0 def)
% Number of atoms : 957 ( 955 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 775 ( 397 ~; 374 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 925 ( 12 sgn 66 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [A] : mult(A,unit) = A ).
fof(f02,axiom,
! [A] : mult(unit,A) = A ).
fof(f03,axiom,
! [C,B,A] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C) ).
fof(f04,axiom,
! [A] : mult(A,i(A)) = unit ).
fof(f05,axiom,
! [A] : mult(i(A),A) = unit ).
fof(goals,conjecture,
( ! [X0,X1] :
? [X2] : mult(X0,X2) = X1
& ! [X3,X4] :
? [X5] : mult(X5,X4) = X3 ) ).
fof(subgoal_0,plain,
! [X0,X1] :
? [X2] : mult(X0,X2) = X1,
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
( ! [X0,X1] :
? [X2] : mult(X0,X2) = X1
=> ! [X3,X4] :
? [X5] : mult(X5,X4) = X3 ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
? [X2] : mult(X0,X2) = X1,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] :
! [X2] : mult(X0,X2) != X1,
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X2] : mult(skolemFOFtoCNF_X0,X2) != skolemFOFtoCNF_X1,
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X2] : mult(skolemFOFtoCNF_X0,X2) != skolemFOFtoCNF_X1,
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[f03]) ).
fof(normalize_0_4,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A] : mult(A,i(A)) = unit,
inference(canonicalize,[],[f04]) ).
fof(normalize_0_6,plain,
! [A] : mult(A,i(A)) = unit,
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] : mult(unit,A) = A,
inference(canonicalize,[],[f02]) ).
fof(normalize_0_8,plain,
! [A] : mult(unit,A) = A,
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A] : mult(i(A),A) = unit,
inference(canonicalize,[],[f05]) ).
fof(normalize_0_10,plain,
! [A] : mult(i(A),A) = unit,
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A] : mult(A,unit) = A,
inference(canonicalize,[],[f01]) ).
fof(normalize_0_12,plain,
! [A] : mult(A,unit) = A,
inference(specialize,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
mult(skolemFOFtoCNF_X0,X2) != skolemFOFtoCNF_X1,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)) != skolemFOFtoCNF_X1,
inference(subst,[],[refute_0_0:[bind(X2,$fot(mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)))]]) ).
cnf(refute_0_2,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(mult(mult(X_5,i(X_5)),i(X_5)),X_7),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5)),bind(B,$fot(i(X_5))),bind(C,$fot(X_7))]]) ).
cnf(refute_0_4,plain,
mult(A,i(A)) = unit,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
mult(X_5,i(X_5)) = unit,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_6,plain,
( mult(X_5,i(X_5)) != unit
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(mult(mult(X_5,i(X_5)),i(X_5)),X_7)
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(mult(unit,i(X_5)),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(mult(mult(X_5,i(X_5)),i(X_5)),X_7)) ),[1,0,0],$fot(unit)]]) ).
cnf(refute_0_7,plain,
( mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(mult(mult(X_5,i(X_5)),i(X_5)),X_7)
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(mult(unit,i(X_5)),X_7) ),
inference(resolve,[$cnf( $equal(mult(X_5,i(X_5)),unit) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(mult(unit,i(X_5)),X_7),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(mult(mult(X_5,i(X_5)),i(X_5)),X_7)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
mult(unit,A) = A,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_10,plain,
mult(unit,i(X_5)) = i(X_5),
inference(subst,[],[refute_0_9:[bind(A,$fot(i(X_5)))]]) ).
cnf(refute_0_11,plain,
mult(mult(unit,i(X_5)),X_7) = mult(mult(unit,i(X_5)),X_7),
introduced(tautology,[refl,[$fot(mult(mult(unit,i(X_5)),X_7))]]) ).
cnf(refute_0_12,plain,
( mult(mult(unit,i(X_5)),X_7) != mult(mult(unit,i(X_5)),X_7)
| mult(unit,i(X_5)) != i(X_5)
| mult(mult(unit,i(X_5)),X_7) = mult(i(X_5),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(unit,i(X_5)),X_7),mult(mult(unit,i(X_5)),X_7)) ),[1,0],$fot(i(X_5))]]) ).
cnf(refute_0_13,plain,
( mult(unit,i(X_5)) != i(X_5)
| mult(mult(unit,i(X_5)),X_7) = mult(i(X_5),X_7) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,i(X_5)),X_7),mult(mult(unit,i(X_5)),X_7)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
mult(mult(unit,i(X_5)),X_7) = mult(i(X_5),X_7),
inference(resolve,[$cnf( $equal(mult(unit,i(X_5)),i(X_5)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
( mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(mult(unit,i(X_5)),X_7)
| mult(mult(unit,i(X_5)),X_7) != mult(i(X_5),X_7)
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(i(X_5),X_7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(i(X_5),X_7)) ),[0],$fot(mult(mult(unit,i(X_5)),X_7))]]) ).
cnf(refute_0_16,plain,
( mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(mult(unit,i(X_5)),X_7)
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(i(X_5),X_7) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,i(X_5)),X_7),mult(i(X_5),X_7)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(i(X_5),X_7),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(mult(unit,i(X_5)),X_7)) )],[refute_0_8,refute_0_16]) ).
cnf(refute_0_18,plain,
mult(unit,mult(X_6,mult(X_6,X_7))) = mult(mult(mult(unit,X_6),X_6),X_7),
inference(subst,[],[refute_0_2:[bind(A,$fot(unit)),bind(B,$fot(X_6)),bind(C,$fot(X_7))]]) ).
cnf(refute_0_19,plain,
mult(unit,X_6) = X_6,
inference(subst,[],[refute_0_9:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_20,plain,
( mult(unit,X_6) != X_6
| mult(unit,mult(X_6,mult(X_6,X_7))) != mult(mult(mult(unit,X_6),X_6),X_7)
| mult(unit,mult(X_6,mult(X_6,X_7))) = mult(mult(X_6,X_6),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_6,mult(X_6,X_7))),mult(mult(mult(unit,X_6),X_6),X_7)) ),[1,0,0],$fot(X_6)]]) ).
cnf(refute_0_21,plain,
( mult(unit,mult(X_6,mult(X_6,X_7))) != mult(mult(mult(unit,X_6),X_6),X_7)
| mult(unit,mult(X_6,mult(X_6,X_7))) = mult(mult(X_6,X_6),X_7) ),
inference(resolve,[$cnf( $equal(mult(unit,X_6),X_6) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
mult(unit,mult(X_6,mult(X_6,X_7))) = mult(mult(X_6,X_6),X_7),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_6,mult(X_6,X_7))),mult(mult(mult(unit,X_6),X_6),X_7)) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
mult(unit,mult(X_6,mult(X_6,X_7))) = mult(X_6,mult(X_6,X_7)),
inference(subst,[],[refute_0_9:[bind(A,$fot(mult(X_6,mult(X_6,X_7))))]]) ).
cnf(refute_0_24,plain,
( mult(unit,mult(X_6,mult(X_6,X_7))) != mult(X_6,mult(X_6,X_7))
| mult(unit,mult(X_6,mult(X_6,X_7))) != mult(mult(X_6,X_6),X_7)
| mult(X_6,mult(X_6,X_7)) = mult(mult(X_6,X_6),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_6,mult(X_6,X_7))),mult(mult(X_6,X_6),X_7)) ),[0],$fot(mult(X_6,mult(X_6,X_7)))]]) ).
cnf(refute_0_25,plain,
( mult(unit,mult(X_6,mult(X_6,X_7))) != mult(mult(X_6,X_6),X_7)
| mult(X_6,mult(X_6,X_7)) = mult(mult(X_6,X_6),X_7) ),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_6,mult(X_6,X_7))),mult(X_6,mult(X_6,X_7))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
mult(X_6,mult(X_6,X_7)) = mult(mult(X_6,X_6),X_7),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_6,mult(X_6,X_7))),mult(mult(X_6,X_6),X_7)) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
mult(i(X_24),mult(i(X_24),X_7)) = mult(mult(i(X_24),i(X_24)),X_7),
inference(subst,[],[refute_0_26:[bind(X_6,$fot(i(X_24)))]]) ).
cnf(refute_0_28,plain,
mult(i(X_6),mult(X_6,mult(X_6,X_7))) = mult(mult(mult(i(X_6),X_6),X_6),X_7),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(X_6))),bind(B,$fot(X_6)),bind(C,$fot(X_7))]]) ).
cnf(refute_0_29,plain,
mult(i(A),A) = unit,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_30,plain,
mult(i(X_6),X_6) = unit,
inference(subst,[],[refute_0_29:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_31,plain,
( mult(i(X_6),X_6) != unit
| mult(i(X_6),mult(X_6,mult(X_6,X_7))) != mult(mult(mult(i(X_6),X_6),X_6),X_7)
| mult(i(X_6),mult(X_6,mult(X_6,X_7))) = mult(mult(unit,X_6),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_6),mult(X_6,mult(X_6,X_7))),mult(mult(mult(i(X_6),X_6),X_6),X_7)) ),[1,0,0],$fot(unit)]]) ).
cnf(refute_0_32,plain,
( mult(i(X_6),mult(X_6,mult(X_6,X_7))) != mult(mult(mult(i(X_6),X_6),X_6),X_7)
| mult(i(X_6),mult(X_6,mult(X_6,X_7))) = mult(mult(unit,X_6),X_7) ),
inference(resolve,[$cnf( $equal(mult(i(X_6),X_6),unit) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
mult(i(X_6),mult(X_6,mult(X_6,X_7))) = mult(mult(unit,X_6),X_7),
inference(resolve,[$cnf( $equal(mult(i(X_6),mult(X_6,mult(X_6,X_7))),mult(mult(mult(i(X_6),X_6),X_6),X_7)) )],[refute_0_28,refute_0_32]) ).
cnf(refute_0_34,plain,
mult(mult(unit,X_6),X_7) = mult(mult(unit,X_6),X_7),
introduced(tautology,[refl,[$fot(mult(mult(unit,X_6),X_7))]]) ).
cnf(refute_0_35,plain,
( mult(mult(unit,X_6),X_7) != mult(mult(unit,X_6),X_7)
| mult(unit,X_6) != X_6
| mult(mult(unit,X_6),X_7) = mult(X_6,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(unit,X_6),X_7),mult(mult(unit,X_6),X_7)) ),[1,0],$fot(X_6)]]) ).
cnf(refute_0_36,plain,
( mult(unit,X_6) != X_6
| mult(mult(unit,X_6),X_7) = mult(X_6,X_7) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,X_6),X_7),mult(mult(unit,X_6),X_7)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
mult(mult(unit,X_6),X_7) = mult(X_6,X_7),
inference(resolve,[$cnf( $equal(mult(unit,X_6),X_6) )],[refute_0_19,refute_0_36]) ).
cnf(refute_0_38,plain,
( mult(i(X_6),mult(X_6,mult(X_6,X_7))) != mult(mult(unit,X_6),X_7)
| mult(mult(unit,X_6),X_7) != mult(X_6,X_7)
| mult(i(X_6),mult(X_6,mult(X_6,X_7))) = mult(X_6,X_7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(X_6),mult(X_6,mult(X_6,X_7))),mult(X_6,X_7)) ),[0],$fot(mult(mult(unit,X_6),X_7))]]) ).
cnf(refute_0_39,plain,
( mult(i(X_6),mult(X_6,mult(X_6,X_7))) != mult(mult(unit,X_6),X_7)
| mult(i(X_6),mult(X_6,mult(X_6,X_7))) = mult(X_6,X_7) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,X_6),X_7),mult(X_6,X_7)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
mult(i(X_6),mult(X_6,mult(X_6,X_7))) = mult(X_6,X_7),
inference(resolve,[$cnf( $equal(mult(i(X_6),mult(X_6,mult(X_6,X_7))),mult(mult(unit,X_6),X_7)) )],[refute_0_33,refute_0_39]) ).
cnf(refute_0_41,plain,
mult(i(X_6),mult(X_6,mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))))) = mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(mult(i(X_6),i(mult(X_6,X_6)))))]]) ).
cnf(refute_0_42,plain,
mult(A,unit) = A,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_43,plain,
mult(mult(mult(X_5,X_6),X_6),unit) = mult(mult(X_5,X_6),X_6),
inference(subst,[],[refute_0_42:[bind(A,$fot(mult(mult(X_5,X_6),X_6)))]]) ).
cnf(refute_0_44,plain,
mult(X_5,mult(X_6,mult(X_6,unit))) = mult(mult(mult(X_5,X_6),X_6),unit),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5)),bind(B,$fot(X_6)),bind(C,$fot(unit))]]) ).
cnf(refute_0_45,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_46,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_47,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( mult(X_5,mult(X_6,mult(X_6,unit))) != mult(mult(mult(X_5,X_6),X_6),unit)
| mult(mult(mult(X_5,X_6),X_6),unit) = mult(X_5,mult(X_6,mult(X_6,unit))) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(mult(X_5,mult(X_6,mult(X_6,unit))))),bind(Y,$fot(mult(mult(mult(X_5,X_6),X_6),unit)))]]) ).
cnf(refute_0_49,plain,
mult(mult(mult(X_5,X_6),X_6),unit) = mult(X_5,mult(X_6,mult(X_6,unit))),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,unit))),mult(mult(mult(X_5,X_6),X_6),unit)) )],[refute_0_44,refute_0_48]) ).
cnf(refute_0_50,plain,
( mult(mult(mult(X_5,X_6),X_6),unit) != mult(X_5,mult(X_6,mult(X_6,unit)))
| mult(mult(mult(X_5,X_6),X_6),unit) != mult(mult(X_5,X_6),X_6)
| mult(X_5,mult(X_6,mult(X_6,unit))) = mult(mult(X_5,X_6),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_5,X_6),X_6),unit),mult(mult(X_5,X_6),X_6)) ),[0],$fot(mult(X_5,mult(X_6,mult(X_6,unit))))]]) ).
cnf(refute_0_51,plain,
( mult(mult(mult(X_5,X_6),X_6),unit) != mult(mult(X_5,X_6),X_6)
| mult(X_5,mult(X_6,mult(X_6,unit))) = mult(mult(X_5,X_6),X_6) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_5,X_6),X_6),unit),mult(X_5,mult(X_6,mult(X_6,unit)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
mult(X_5,mult(X_6,mult(X_6,unit))) = mult(mult(X_5,X_6),X_6),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_5,X_6),X_6),unit),mult(mult(X_5,X_6),X_6)) )],[refute_0_43,refute_0_51]) ).
cnf(refute_0_53,plain,
mult(X_6,unit) = X_6,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_54,plain,
mult(X_6,mult(X_6,unit)) = mult(X_6,mult(X_6,unit)),
introduced(tautology,[refl,[$fot(mult(X_6,mult(X_6,unit)))]]) ).
cnf(refute_0_55,plain,
( mult(X_6,mult(X_6,unit)) != mult(X_6,mult(X_6,unit))
| mult(X_6,unit) != X_6
| mult(X_6,mult(X_6,unit)) = mult(X_6,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_6,mult(X_6,unit)),mult(X_6,mult(X_6,unit))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_56,plain,
( mult(X_6,unit) != X_6
| mult(X_6,mult(X_6,unit)) = mult(X_6,X_6) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(X_6,unit)),mult(X_6,mult(X_6,unit))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
mult(X_6,mult(X_6,unit)) = mult(X_6,X_6),
inference(resolve,[$cnf( $equal(mult(X_6,unit),X_6) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
mult(X_5,mult(X_6,mult(X_6,unit))) = mult(X_5,mult(X_6,mult(X_6,unit))),
introduced(tautology,[refl,[$fot(mult(X_5,mult(X_6,mult(X_6,unit))))]]) ).
cnf(refute_0_59,plain,
( mult(X_5,mult(X_6,mult(X_6,unit))) != mult(X_5,mult(X_6,mult(X_6,unit)))
| mult(X_6,mult(X_6,unit)) != mult(X_6,X_6)
| mult(X_5,mult(X_6,mult(X_6,unit))) = mult(X_5,mult(X_6,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,unit))),mult(X_5,mult(X_6,mult(X_6,unit)))) ),[1,1],$fot(mult(X_6,X_6))]]) ).
cnf(refute_0_60,plain,
( mult(X_6,mult(X_6,unit)) != mult(X_6,X_6)
| mult(X_5,mult(X_6,mult(X_6,unit))) = mult(X_5,mult(X_6,X_6)) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,unit))),mult(X_5,mult(X_6,mult(X_6,unit)))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
mult(X_5,mult(X_6,mult(X_6,unit))) = mult(X_5,mult(X_6,X_6)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(X_6,unit)),mult(X_6,X_6)) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
( mult(X_5,mult(X_6,mult(X_6,unit))) != mult(X_5,mult(X_6,X_6))
| mult(X_5,mult(X_6,mult(X_6,unit))) != mult(mult(X_5,X_6),X_6)
| mult(X_5,mult(X_6,X_6)) = mult(mult(X_5,X_6),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,unit))),mult(mult(X_5,X_6),X_6)) ),[0],$fot(mult(X_5,mult(X_6,X_6)))]]) ).
cnf(refute_0_63,plain,
( mult(X_5,mult(X_6,mult(X_6,unit))) != mult(mult(X_5,X_6),X_6)
| mult(X_5,mult(X_6,X_6)) = mult(mult(X_5,X_6),X_6) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,unit))),mult(X_5,mult(X_6,X_6))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
mult(X_5,mult(X_6,X_6)) = mult(mult(X_5,X_6),X_6),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,unit))),mult(mult(X_5,X_6),X_6)) )],[refute_0_52,refute_0_63]) ).
cnf(refute_0_65,plain,
mult(X_8,mult(i(X_8),i(X_8))) = mult(mult(X_8,i(X_8)),i(X_8)),
inference(subst,[],[refute_0_64:[bind(X_5,$fot(X_8)),bind(X_6,$fot(i(X_8)))]]) ).
cnf(refute_0_66,plain,
mult(X_8,i(X_8)) = unit,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_67,plain,
( mult(X_8,i(X_8)) != unit
| mult(X_8,mult(i(X_8),i(X_8))) != mult(mult(X_8,i(X_8)),i(X_8))
| mult(X_8,mult(i(X_8),i(X_8))) = mult(unit,i(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_8,mult(i(X_8),i(X_8))),mult(mult(X_8,i(X_8)),i(X_8))) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_68,plain,
( mult(X_8,mult(i(X_8),i(X_8))) != mult(mult(X_8,i(X_8)),i(X_8))
| mult(X_8,mult(i(X_8),i(X_8))) = mult(unit,i(X_8)) ),
inference(resolve,[$cnf( $equal(mult(X_8,i(X_8)),unit) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
mult(X_8,mult(i(X_8),i(X_8))) = mult(unit,i(X_8)),
inference(resolve,[$cnf( $equal(mult(X_8,mult(i(X_8),i(X_8))),mult(mult(X_8,i(X_8)),i(X_8))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
mult(unit,i(X_8)) = i(X_8),
inference(subst,[],[refute_0_9:[bind(A,$fot(i(X_8)))]]) ).
cnf(refute_0_71,plain,
( mult(X_8,mult(i(X_8),i(X_8))) != mult(unit,i(X_8))
| mult(unit,i(X_8)) != i(X_8)
| mult(X_8,mult(i(X_8),i(X_8))) = i(X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_8,mult(i(X_8),i(X_8))),i(X_8)) ),[0],$fot(mult(unit,i(X_8)))]]) ).
cnf(refute_0_72,plain,
( mult(X_8,mult(i(X_8),i(X_8))) != mult(unit,i(X_8))
| mult(X_8,mult(i(X_8),i(X_8))) = i(X_8) ),
inference(resolve,[$cnf( $equal(mult(unit,i(X_8)),i(X_8)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
mult(X_8,mult(i(X_8),i(X_8))) = i(X_8),
inference(resolve,[$cnf( $equal(mult(X_8,mult(i(X_8),i(X_8))),mult(unit,i(X_8))) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) = i(mult(X_21,X_21)),
inference(subst,[],[refute_0_73:[bind(X_8,$fot(mult(X_21,X_21)))]]) ).
cnf(refute_0_75,plain,
mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))),
inference(subst,[],[refute_0_26:[bind(X_6,$fot(X_21)),bind(X_7,$fot(mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))))]]) ).
cnf(refute_0_76,plain,
( mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) != mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))
| mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) = mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))))),bind(Y,$fot(mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))))]]) ).
cnf(refute_0_77,plain,
mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) = mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),
inference(resolve,[$cnf( $equal(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) != i(mult(X_21,X_21))
| mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) != mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))))
| mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = i(mult(X_21,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))),i(mult(X_21,X_21))) ),[0],$fot(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))))]]) ).
cnf(refute_0_79,plain,
( mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) != i(mult(X_21,X_21))
| mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = i(mult(X_21,X_21)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))),mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = i(mult(X_21,X_21)),
inference(resolve,[$cnf( $equal(mult(mult(X_21,X_21),mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))),i(mult(X_21,X_21))) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))) = mult(mult(X_5,i(mult(X_5,X_5))),i(mult(X_5,X_5))),
inference(subst,[],[refute_0_64:[bind(X_6,$fot(i(mult(X_5,X_5))))]]) ).
cnf(refute_0_82,plain,
mult(i(X_6),mult(X_6,mult(X_6,i(mult(X_6,X_6))))) = mult(X_6,i(mult(X_6,X_6))),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(i(mult(X_6,X_6))))]]) ).
cnf(refute_0_83,plain,
mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) = mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))),
inference(subst,[],[refute_0_9:[bind(A,$fot(mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))))]]) ).
cnf(refute_0_84,plain,
mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))) = unit,
inference(subst,[],[refute_0_4:[bind(A,$fot(mult(mult(X_5,X_6),X_6)))]]) ).
cnf(refute_0_85,plain,
mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5)),bind(B,$fot(X_6)),bind(C,$fot(i(mult(mult(X_5,X_6),X_6))))]]) ).
cnf(refute_0_86,plain,
( mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) != mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6)))
| mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))) = mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))))),bind(Y,$fot(mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6)))))]]) ).
cnf(refute_0_87,plain,
mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))) = mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6)))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))) != mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))))
| mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))) != unit
| mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))),unit) ),[0],$fot(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))))]]) ).
cnf(refute_0_89,plain,
( mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))) != unit
| mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = unit ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))),mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = unit,
inference(resolve,[$cnf( $equal(mult(mult(mult(X_5,X_6),X_6),i(mult(mult(X_5,X_6),X_6))),unit) )],[refute_0_84,refute_0_89]) ).
cnf(refute_0_91,plain,
( mult(X_5,mult(X_6,X_6)) != mult(mult(X_5,X_6),X_6)
| mult(mult(X_5,X_6),X_6) = mult(X_5,mult(X_6,X_6)) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(mult(X_5,mult(X_6,X_6)))),bind(Y,$fot(mult(mult(X_5,X_6),X_6)))]]) ).
cnf(refute_0_92,plain,
mult(mult(X_5,X_6),X_6) = mult(X_5,mult(X_6,X_6)),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,X_6)),mult(mult(X_5,X_6),X_6)) )],[refute_0_64,refute_0_91]) ).
cnf(refute_0_93,plain,
i(mult(mult(X_5,X_6),X_6)) = i(mult(mult(X_5,X_6),X_6)),
introduced(tautology,[refl,[$fot(i(mult(mult(X_5,X_6),X_6)))]]) ).
cnf(refute_0_94,plain,
( i(mult(mult(X_5,X_6),X_6)) != i(mult(mult(X_5,X_6),X_6))
| mult(mult(X_5,X_6),X_6) != mult(X_5,mult(X_6,X_6))
| i(mult(mult(X_5,X_6),X_6)) = i(mult(X_5,mult(X_6,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(X_5,X_6),X_6)),i(mult(mult(X_5,X_6),X_6))) ),[1,0],$fot(mult(X_5,mult(X_6,X_6)))]]) ).
cnf(refute_0_95,plain,
( mult(mult(X_5,X_6),X_6) != mult(X_5,mult(X_6,X_6))
| i(mult(mult(X_5,X_6),X_6)) = i(mult(X_5,mult(X_6,X_6))) ),
inference(resolve,[$cnf( $equal(i(mult(mult(X_5,X_6),X_6)),i(mult(mult(X_5,X_6),X_6))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
i(mult(mult(X_5,X_6),X_6)) = i(mult(X_5,mult(X_6,X_6))),
inference(resolve,[$cnf( $equal(mult(mult(X_5,X_6),X_6),mult(X_5,mult(X_6,X_6))) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
mult(X_6,i(mult(mult(X_5,X_6),X_6))) = mult(X_6,i(mult(mult(X_5,X_6),X_6))),
introduced(tautology,[refl,[$fot(mult(X_6,i(mult(mult(X_5,X_6),X_6))))]]) ).
cnf(refute_0_98,plain,
( i(mult(mult(X_5,X_6),X_6)) != i(mult(X_5,mult(X_6,X_6)))
| mult(X_6,i(mult(mult(X_5,X_6),X_6))) != mult(X_6,i(mult(mult(X_5,X_6),X_6)))
| mult(X_6,i(mult(mult(X_5,X_6),X_6))) = mult(X_6,i(mult(X_5,mult(X_6,X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_6,i(mult(mult(X_5,X_6),X_6))),mult(X_6,i(mult(mult(X_5,X_6),X_6)))) ),[1,1],$fot(i(mult(X_5,mult(X_6,X_6))))]]) ).
cnf(refute_0_99,plain,
( i(mult(mult(X_5,X_6),X_6)) != i(mult(X_5,mult(X_6,X_6)))
| mult(X_6,i(mult(mult(X_5,X_6),X_6))) = mult(X_6,i(mult(X_5,mult(X_6,X_6)))) ),
inference(resolve,[$cnf( $equal(mult(X_6,i(mult(mult(X_5,X_6),X_6))),mult(X_6,i(mult(mult(X_5,X_6),X_6)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
mult(X_6,i(mult(mult(X_5,X_6),X_6))) = mult(X_6,i(mult(X_5,mult(X_6,X_6)))),
inference(resolve,[$cnf( $equal(i(mult(mult(X_5,X_6),X_6)),i(mult(X_5,mult(X_6,X_6)))) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))) = mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))),
introduced(tautology,[refl,[$fot(mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))))]]) ).
cnf(refute_0_102,plain,
( mult(X_6,i(mult(mult(X_5,X_6),X_6))) != mult(X_6,i(mult(X_5,mult(X_6,X_6))))
| mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))) != mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))
| mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))) = mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))),mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) ),[1,1],$fot(mult(X_6,i(mult(X_5,mult(X_6,X_6)))))]]) ).
cnf(refute_0_103,plain,
( mult(X_6,i(mult(mult(X_5,X_6),X_6))) != mult(X_6,i(mult(X_5,mult(X_6,X_6))))
| mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))) = mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6))))) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))),mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))) = mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6))))),
inference(resolve,[$cnf( $equal(mult(X_6,i(mult(mult(X_5,X_6),X_6))),mult(X_6,i(mult(X_5,mult(X_6,X_6))))) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),
introduced(tautology,[refl,[$fot(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))))]]) ).
cnf(refute_0_106,plain,
( mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) != mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))))
| mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))) != mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))
| mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))))) ),[1,1],$fot(mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6))))))]]) ).
cnf(refute_0_107,plain,
( mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))) != mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))
| mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) = mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))),
inference(resolve,[$cnf( $equal(mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6)))),mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) != mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6))))))
| mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) != unit
| mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),unit) ),[0],$fot(mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))))]]) ).
cnf(refute_0_110,plain,
( mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))) != unit
| mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))) = unit ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6))))))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
mult(X_5,mult(X_6,mult(X_6,i(mult(X_5,mult(X_6,X_6)))))) = unit,
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_6,mult(X_6,i(mult(mult(X_5,X_6),X_6))))),unit) )],[refute_0_90,refute_0_110]) ).
cnf(refute_0_112,plain,
mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) = unit,
inference(subst,[],[refute_0_111:[bind(X_5,$fot(unit)),bind(X_6,$fot(X_16))]]) ).
cnf(refute_0_113,plain,
( mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) != mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))
| mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) != unit
| unit = mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))),mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) ),[0],$fot(unit)]]) ).
cnf(refute_0_114,plain,
( mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) != mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))
| unit = mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) ),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))),unit) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
unit = mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))),mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) )],[refute_0_83,refute_0_114]) ).
cnf(refute_0_116,plain,
mult(unit,mult(X_16,X_16)) = mult(X_16,X_16),
inference(subst,[],[refute_0_9:[bind(A,$fot(mult(X_16,X_16)))]]) ).
cnf(refute_0_117,plain,
i(mult(unit,mult(X_16,X_16))) = i(mult(unit,mult(X_16,X_16))),
introduced(tautology,[refl,[$fot(i(mult(unit,mult(X_16,X_16))))]]) ).
cnf(refute_0_118,plain,
( i(mult(unit,mult(X_16,X_16))) != i(mult(unit,mult(X_16,X_16)))
| mult(unit,mult(X_16,X_16)) != mult(X_16,X_16)
| i(mult(unit,mult(X_16,X_16))) = i(mult(X_16,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(unit,mult(X_16,X_16))),i(mult(unit,mult(X_16,X_16)))) ),[1,0],$fot(mult(X_16,X_16))]]) ).
cnf(refute_0_119,plain,
( mult(unit,mult(X_16,X_16)) != mult(X_16,X_16)
| i(mult(unit,mult(X_16,X_16))) = i(mult(X_16,X_16)) ),
inference(resolve,[$cnf( $equal(i(mult(unit,mult(X_16,X_16))),i(mult(unit,mult(X_16,X_16)))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
i(mult(unit,mult(X_16,X_16))) = i(mult(X_16,X_16)),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_16,X_16)),mult(X_16,X_16)) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
mult(X_16,i(mult(unit,mult(X_16,X_16)))) = mult(X_16,i(mult(unit,mult(X_16,X_16)))),
introduced(tautology,[refl,[$fot(mult(X_16,i(mult(unit,mult(X_16,X_16)))))]]) ).
cnf(refute_0_122,plain,
( i(mult(unit,mult(X_16,X_16))) != i(mult(X_16,X_16))
| mult(X_16,i(mult(unit,mult(X_16,X_16)))) != mult(X_16,i(mult(unit,mult(X_16,X_16))))
| mult(X_16,i(mult(unit,mult(X_16,X_16)))) = mult(X_16,i(mult(X_16,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_16,i(mult(unit,mult(X_16,X_16)))),mult(X_16,i(mult(unit,mult(X_16,X_16))))) ),[1,1],$fot(i(mult(X_16,X_16)))]]) ).
cnf(refute_0_123,plain,
( i(mult(unit,mult(X_16,X_16))) != i(mult(X_16,X_16))
| mult(X_16,i(mult(unit,mult(X_16,X_16)))) = mult(X_16,i(mult(X_16,X_16))) ),
inference(resolve,[$cnf( $equal(mult(X_16,i(mult(unit,mult(X_16,X_16)))),mult(X_16,i(mult(unit,mult(X_16,X_16))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
mult(X_16,i(mult(unit,mult(X_16,X_16)))) = mult(X_16,i(mult(X_16,X_16))),
inference(resolve,[$cnf( $equal(i(mult(unit,mult(X_16,X_16))),i(mult(X_16,X_16))) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) = mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))),
introduced(tautology,[refl,[$fot(mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))))]]) ).
cnf(refute_0_126,plain,
( mult(X_16,i(mult(unit,mult(X_16,X_16)))) != mult(X_16,i(mult(X_16,X_16)))
| mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) != mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))
| mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) = mult(X_16,mult(X_16,i(mult(X_16,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))),mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) ),[1,1],$fot(mult(X_16,i(mult(X_16,X_16))))]]) ).
cnf(refute_0_127,plain,
( mult(X_16,i(mult(unit,mult(X_16,X_16)))) != mult(X_16,i(mult(X_16,X_16)))
| mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) = mult(X_16,mult(X_16,i(mult(X_16,X_16)))) ),
inference(resolve,[$cnf( $equal(mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))),mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) = mult(X_16,mult(X_16,i(mult(X_16,X_16)))),
inference(resolve,[$cnf( $equal(mult(X_16,i(mult(unit,mult(X_16,X_16)))),mult(X_16,i(mult(X_16,X_16)))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))) != mult(X_16,mult(X_16,i(mult(X_16,X_16))))
| unit != mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))
| unit = mult(X_16,mult(X_16,i(mult(X_16,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) ),[1],$fot(mult(X_16,mult(X_16,i(mult(X_16,X_16)))))]]) ).
cnf(refute_0_130,plain,
( unit != mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))
| unit = mult(X_16,mult(X_16,i(mult(X_16,X_16)))) ),
inference(resolve,[$cnf( $equal(mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16))))),mult(X_16,mult(X_16,i(mult(X_16,X_16))))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
unit = mult(X_16,mult(X_16,i(mult(X_16,X_16)))),
inference(resolve,[$cnf( $equal(unit,mult(X_16,mult(X_16,i(mult(unit,mult(X_16,X_16)))))) )],[refute_0_115,refute_0_130]) ).
cnf(refute_0_132,plain,
unit = mult(X_6,mult(X_6,i(mult(X_6,X_6)))),
inference(subst,[],[refute_0_131:[bind(X_16,$fot(X_6))]]) ).
cnf(refute_0_133,plain,
( unit != mult(X_6,mult(X_6,i(mult(X_6,X_6))))
| mult(X_6,mult(X_6,i(mult(X_6,X_6)))) = unit ),
inference(subst,[],[refute_0_47:[bind(X,$fot(unit)),bind(Y,$fot(mult(X_6,mult(X_6,i(mult(X_6,X_6))))))]]) ).
cnf(refute_0_134,plain,
mult(X_6,mult(X_6,i(mult(X_6,X_6)))) = unit,
inference(resolve,[$cnf( $equal(unit,mult(X_6,mult(X_6,i(mult(X_6,X_6))))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
( mult(X_6,mult(X_6,i(mult(X_6,X_6)))) != unit
| mult(i(X_6),mult(X_6,mult(X_6,i(mult(X_6,X_6))))) != mult(X_6,i(mult(X_6,X_6)))
| mult(i(X_6),unit) = mult(X_6,i(mult(X_6,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_6),mult(X_6,mult(X_6,i(mult(X_6,X_6))))),mult(X_6,i(mult(X_6,X_6)))) ),[0,1],$fot(unit)]]) ).
cnf(refute_0_136,plain,
( mult(i(X_6),mult(X_6,mult(X_6,i(mult(X_6,X_6))))) != mult(X_6,i(mult(X_6,X_6)))
| mult(i(X_6),unit) = mult(X_6,i(mult(X_6,X_6))) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(X_6,i(mult(X_6,X_6)))),unit) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
mult(i(X_6),unit) = mult(X_6,i(mult(X_6,X_6))),
inference(resolve,[$cnf( $equal(mult(i(X_6),mult(X_6,mult(X_6,i(mult(X_6,X_6))))),mult(X_6,i(mult(X_6,X_6)))) )],[refute_0_82,refute_0_136]) ).
cnf(refute_0_138,plain,
mult(i(X_6),unit) = i(X_6),
inference(subst,[],[refute_0_42:[bind(A,$fot(i(X_6)))]]) ).
cnf(refute_0_139,plain,
( mult(i(X_6),unit) != i(X_6)
| mult(i(X_6),unit) != mult(X_6,i(mult(X_6,X_6)))
| i(X_6) = mult(X_6,i(mult(X_6,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_6),unit),mult(X_6,i(mult(X_6,X_6)))) ),[0],$fot(i(X_6))]]) ).
cnf(refute_0_140,plain,
( mult(i(X_6),unit) != mult(X_6,i(mult(X_6,X_6)))
| i(X_6) = mult(X_6,i(mult(X_6,X_6))) ),
inference(resolve,[$cnf( $equal(mult(i(X_6),unit),i(X_6)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
i(X_6) = mult(X_6,i(mult(X_6,X_6))),
inference(resolve,[$cnf( $equal(mult(i(X_6),unit),mult(X_6,i(mult(X_6,X_6)))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
i(X_5) = mult(X_5,i(mult(X_5,X_5))),
inference(subst,[],[refute_0_141:[bind(X_6,$fot(X_5))]]) ).
cnf(refute_0_143,plain,
( i(X_5) != mult(X_5,i(mult(X_5,X_5)))
| mult(X_5,i(mult(X_5,X_5))) = i(X_5) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(i(X_5))),bind(Y,$fot(mult(X_5,i(mult(X_5,X_5)))))]]) ).
cnf(refute_0_144,plain,
mult(X_5,i(mult(X_5,X_5))) = i(X_5),
inference(resolve,[$cnf( $equal(i(X_5),mult(X_5,i(mult(X_5,X_5)))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( mult(X_5,i(mult(X_5,X_5))) != i(X_5)
| mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))) != mult(mult(X_5,i(mult(X_5,X_5))),i(mult(X_5,X_5)))
| mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))) = mult(i(X_5),i(mult(X_5,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))),mult(mult(X_5,i(mult(X_5,X_5))),i(mult(X_5,X_5)))) ),[1,0],$fot(i(X_5))]]) ).
cnf(refute_0_146,plain,
( mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))) != mult(mult(X_5,i(mult(X_5,X_5))),i(mult(X_5,X_5)))
| mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))) = mult(i(X_5),i(mult(X_5,X_5))) ),
inference(resolve,[$cnf( $equal(mult(X_5,i(mult(X_5,X_5))),i(X_5)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))) = mult(i(X_5),i(mult(X_5,X_5))),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(mult(X_5,X_5)),i(mult(X_5,X_5)))),mult(mult(X_5,i(mult(X_5,X_5))),i(mult(X_5,X_5)))) )],[refute_0_81,refute_0_146]) ).
cnf(refute_0_148,plain,
mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) = mult(i(X_21),i(mult(X_21,X_21))),
inference(subst,[],[refute_0_147:[bind(X_5,$fot(X_21))]]) ).
cnf(refute_0_149,plain,
mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),
introduced(tautology,[refl,[$fot(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))))]]) ).
cnf(refute_0_150,plain,
( mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) != mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))))
| mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) != mult(i(X_21),i(mult(X_21,X_21)))
| mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = mult(X_21,mult(i(X_21),i(mult(X_21,X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))))) ),[1,1],$fot(mult(i(X_21),i(mult(X_21,X_21))))]]) ).
cnf(refute_0_151,plain,
( mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))) != mult(i(X_21),i(mult(X_21,X_21)))
| mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = mult(X_21,mult(i(X_21),i(mult(X_21,X_21)))) ),
inference(resolve,[$cnf( $equal(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) = mult(X_21,mult(i(X_21),i(mult(X_21,X_21)))),
inference(resolve,[$cnf( $equal(mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21)))),mult(i(X_21),i(mult(X_21,X_21)))) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) != i(mult(X_21,X_21))
| mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) != mult(X_21,mult(i(X_21),i(mult(X_21,X_21))))
| mult(X_21,mult(i(X_21),i(mult(X_21,X_21)))) = i(mult(X_21,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),i(mult(X_21,X_21))) ),[0],$fot(mult(X_21,mult(i(X_21),i(mult(X_21,X_21)))))]]) ).
cnf(refute_0_154,plain,
( mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))) != i(mult(X_21,X_21))
| mult(X_21,mult(i(X_21),i(mult(X_21,X_21)))) = i(mult(X_21,X_21)) ),
inference(resolve,[$cnf( $equal(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),mult(X_21,mult(i(X_21),i(mult(X_21,X_21))))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
mult(X_21,mult(i(X_21),i(mult(X_21,X_21)))) = i(mult(X_21,X_21)),
inference(resolve,[$cnf( $equal(mult(X_21,mult(X_21,mult(i(mult(X_21,X_21)),i(mult(X_21,X_21))))),i(mult(X_21,X_21))) )],[refute_0_80,refute_0_154]) ).
cnf(refute_0_156,plain,
mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))) = i(mult(X_6,X_6)),
inference(subst,[],[refute_0_155:[bind(X_21,$fot(X_6))]]) ).
cnf(refute_0_157,plain,
( mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))) != i(mult(X_6,X_6))
| mult(i(X_6),mult(X_6,mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))))) != mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))
| mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) = mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_6),mult(X_6,mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))))),mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))) ),[0,1,1],$fot(i(mult(X_6,X_6)))]]) ).
cnf(refute_0_158,plain,
( mult(i(X_6),mult(X_6,mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))))) != mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))
| mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) = mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))),i(mult(X_6,X_6))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) = mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))),
inference(resolve,[$cnf( $equal(mult(i(X_6),mult(X_6,mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))))),mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))) )],[refute_0_41,refute_0_158]) ).
cnf(refute_0_160,plain,
( i(X_6) != mult(X_6,i(mult(X_6,X_6)))
| mult(X_6,i(mult(X_6,X_6))) = i(X_6) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(i(X_6))),bind(Y,$fot(mult(X_6,i(mult(X_6,X_6)))))]]) ).
cnf(refute_0_161,plain,
mult(X_6,i(mult(X_6,X_6))) = i(X_6),
inference(resolve,[$cnf( $equal(i(X_6),mult(X_6,i(mult(X_6,X_6)))) )],[refute_0_141,refute_0_160]) ).
cnf(refute_0_162,plain,
mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) = mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))),
introduced(tautology,[refl,[$fot(mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))))]]) ).
cnf(refute_0_163,plain,
( mult(X_6,i(mult(X_6,X_6))) != i(X_6)
| mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) != mult(i(X_6),mult(X_6,i(mult(X_6,X_6))))
| mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) = mult(i(X_6),i(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))),mult(i(X_6),mult(X_6,i(mult(X_6,X_6))))) ),[1,1],$fot(i(X_6))]]) ).
cnf(refute_0_164,plain,
( mult(X_6,i(mult(X_6,X_6))) != i(X_6)
| mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) = mult(i(X_6),i(X_6)) ),
inference(resolve,[$cnf( $equal(mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))),mult(i(X_6),mult(X_6,i(mult(X_6,X_6))))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) = mult(i(X_6),i(X_6)),
inference(resolve,[$cnf( $equal(mult(X_6,i(mult(X_6,X_6))),i(X_6)) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) != mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))
| mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) != mult(i(X_6),i(X_6))
| mult(i(X_6),i(X_6)) = mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))),mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))) ),[0],$fot(mult(i(X_6),i(X_6)))]]) ).
cnf(refute_0_167,plain,
( mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) != mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))
| mult(i(X_6),i(X_6)) = mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))) ),
inference(resolve,[$cnf( $equal(mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))),mult(i(X_6),i(X_6))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))) != i(mult(X_6,X_6))
| mult(i(X_6),i(X_6)) != mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))
| mult(i(X_6),i(X_6)) = i(mult(X_6,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_6),i(X_6)),mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))) ),[1],$fot(i(mult(X_6,X_6)))]]) ).
cnf(refute_0_169,plain,
( mult(i(X_6),i(X_6)) != mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))
| mult(i(X_6),i(X_6)) = i(mult(X_6,X_6)) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(i(X_6),i(mult(X_6,X_6)))),i(mult(X_6,X_6))) )],[refute_0_156,refute_0_168]) ).
cnf(refute_0_170,plain,
( mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))) != mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))
| mult(i(X_6),i(X_6)) = i(mult(X_6,X_6)) ),
inference(resolve,[$cnf( $equal(mult(i(X_6),i(X_6)),mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))) )],[refute_0_167,refute_0_169]) ).
cnf(refute_0_171,plain,
mult(i(X_6),i(X_6)) = i(mult(X_6,X_6)),
inference(resolve,[$cnf( $equal(mult(i(X_6),mult(X_6,i(mult(X_6,X_6)))),mult(X_6,mult(i(X_6),i(mult(X_6,X_6))))) )],[refute_0_159,refute_0_170]) ).
cnf(refute_0_172,plain,
mult(i(X_24),i(X_24)) = i(mult(X_24,X_24)),
inference(subst,[],[refute_0_171:[bind(X_6,$fot(X_24))]]) ).
cnf(refute_0_173,plain,
( mult(i(X_24),i(X_24)) != i(mult(X_24,X_24))
| mult(i(X_24),mult(i(X_24),X_7)) != mult(mult(i(X_24),i(X_24)),X_7)
| mult(i(X_24),mult(i(X_24),X_7)) = mult(i(mult(X_24,X_24)),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_24),mult(i(X_24),X_7)),mult(mult(i(X_24),i(X_24)),X_7)) ),[1,0],$fot(i(mult(X_24,X_24)))]]) ).
cnf(refute_0_174,plain,
( mult(i(X_24),mult(i(X_24),X_7)) != mult(mult(i(X_24),i(X_24)),X_7)
| mult(i(X_24),mult(i(X_24),X_7)) = mult(i(mult(X_24,X_24)),X_7) ),
inference(resolve,[$cnf( $equal(mult(i(X_24),i(X_24)),i(mult(X_24,X_24))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
mult(i(X_24),mult(i(X_24),X_7)) = mult(i(mult(X_24,X_24)),X_7),
inference(resolve,[$cnf( $equal(mult(i(X_24),mult(i(X_24),X_7)),mult(mult(i(X_24),i(X_24)),X_7)) )],[refute_0_27,refute_0_174]) ).
cnf(refute_0_176,plain,
mult(i(X_5),mult(i(X_5),X_7)) = mult(i(mult(X_5,X_5)),X_7),
inference(subst,[],[refute_0_175:[bind(X_24,$fot(X_5))]]) ).
cnf(refute_0_177,plain,
mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),
introduced(tautology,[refl,[$fot(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))))]]) ).
cnf(refute_0_178,plain,
( mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(X_5,mult(i(X_5),mult(i(X_5),X_7)))
| mult(i(X_5),mult(i(X_5),X_7)) != mult(i(mult(X_5,X_5)),X_7)
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(X_5,mult(i(mult(X_5,X_5)),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(X_5,mult(i(X_5),mult(i(X_5),X_7)))) ),[1,1],$fot(mult(i(mult(X_5,X_5)),X_7))]]) ).
cnf(refute_0_179,plain,
( mult(i(X_5),mult(i(X_5),X_7)) != mult(i(mult(X_5,X_5)),X_7)
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(X_5,mult(i(mult(X_5,X_5)),X_7)) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(X_5,mult(i(X_5),mult(i(X_5),X_7)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) = mult(X_5,mult(i(mult(X_5,X_5)),X_7)),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(i(X_5),X_7)),mult(i(mult(X_5,X_5)),X_7)) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(X_5,mult(i(mult(X_5,X_5)),X_7))
| mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(i(X_5),X_7)
| mult(X_5,mult(i(mult(X_5,X_5)),X_7)) = mult(i(X_5),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(i(X_5),X_7)) ),[0],$fot(mult(X_5,mult(i(mult(X_5,X_5)),X_7)))]]) ).
cnf(refute_0_182,plain,
( mult(X_5,mult(i(X_5),mult(i(X_5),X_7))) != mult(i(X_5),X_7)
| mult(X_5,mult(i(mult(X_5,X_5)),X_7)) = mult(i(X_5),X_7) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(X_5,mult(i(mult(X_5,X_5)),X_7))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
mult(X_5,mult(i(mult(X_5,X_5)),X_7)) = mult(i(X_5),X_7),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(X_5),mult(i(X_5),X_7))),mult(i(X_5),X_7)) )],[refute_0_17,refute_0_182]) ).
cnf(refute_0_184,plain,
mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)) = mult(i(skolemFOFtoCNF_X0),X_27),
inference(subst,[],[refute_0_183:[bind(X_5,$fot(skolemFOFtoCNF_X0)),bind(X_7,$fot(X_27))]]) ).
cnf(refute_0_185,plain,
( mult(i(skolemFOFtoCNF_X0),X_27) != skolemFOFtoCNF_X1
| mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)) != mult(i(skolemFOFtoCNF_X0),X_27)
| mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)) = skolemFOFtoCNF_X1 ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)),mult(i(skolemFOFtoCNF_X0),X_27)) ),[1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_186,plain,
( mult(i(skolemFOFtoCNF_X0),X_27) != skolemFOFtoCNF_X1
| mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)),mult(i(skolemFOFtoCNF_X0),X_27)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
mult(i(skolemFOFtoCNF_X0),X_27) != skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X0,mult(i(mult(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X_27)),skolemFOFtoCNF_X1) )],[refute_0_186,refute_0_1]) ).
cnf(refute_0_188,plain,
mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)) != skolemFOFtoCNF_X1,
inference(subst,[],[refute_0_187:[bind(X_27,$fot(mult(i(i(skolemFOFtoCNF_X0)),X_51)))]]) ).
cnf(refute_0_189,plain,
mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))))) = mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))),
inference(subst,[],[refute_0_40:[bind(X_6,$fot(i(mult(X_48,X_48)))),bind(X_7,$fot(mult(X_48,mult(X_48,X_49))))]]) ).
cnf(refute_0_190,plain,
mult(mult(A,B),B) = mult(A,mult(B,B)),
inference(subst,[],[refute_0_92:[bind(X_5,$fot(A)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_191,plain,
mult(mult(mult(A,B),B),C) = mult(mult(mult(A,B),B),C),
introduced(tautology,[refl,[$fot(mult(mult(mult(A,B),B),C))]]) ).
cnf(refute_0_192,plain,
( mult(mult(A,B),B) != mult(A,mult(B,B))
| mult(mult(mult(A,B),B),C) != mult(mult(mult(A,B),B),C)
| mult(mult(mult(A,B),B),C) = mult(mult(A,mult(B,B)),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),B),C),mult(mult(mult(A,B),B),C)) ),[1,0],$fot(mult(A,mult(B,B)))]]) ).
cnf(refute_0_193,plain,
( mult(mult(A,B),B) != mult(A,mult(B,B))
| mult(mult(mult(A,B),B),C) = mult(mult(A,mult(B,B)),C) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),B),C),mult(mult(mult(A,B),B),C)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
mult(mult(mult(A,B),B),C) = mult(mult(A,mult(B,B)),C),
inference(resolve,[$cnf( $equal(mult(mult(A,B),B),mult(A,mult(B,B))) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( mult(A,mult(B,mult(B,C))) != mult(mult(mult(A,B),B),C)
| mult(mult(mult(A,B),B),C) != mult(mult(A,mult(B,B)),C)
| mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(B,mult(B,C))),mult(mult(A,mult(B,B)),C)) ),[0],$fot(mult(mult(mult(A,B),B),C))]]) ).
cnf(refute_0_196,plain,
( mult(A,mult(B,mult(B,C))) != mult(mult(mult(A,B),B),C)
| mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),B),C),mult(mult(A,mult(B,B)),C)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C),
inference(resolve,[$cnf( $equal(mult(A,mult(B,mult(B,C))),mult(mult(mult(A,B),B),C)) )],[refute_0_2,refute_0_196]) ).
cnf(refute_0_198,plain,
mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) = mult(mult(i(mult(X_46,X_46)),mult(X_46,X_46)),X_47),
inference(subst,[],[refute_0_197:[bind(A,$fot(i(mult(X_46,X_46)))),bind(B,$fot(X_46)),bind(C,$fot(X_47))]]) ).
cnf(refute_0_199,plain,
mult(i(mult(X_46,X_46)),mult(X_46,X_46)) = unit,
inference(subst,[],[refute_0_29:[bind(A,$fot(mult(X_46,X_46)))]]) ).
cnf(refute_0_200,plain,
( mult(i(mult(X_46,X_46)),mult(X_46,X_46)) != unit
| mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) != mult(mult(i(mult(X_46,X_46)),mult(X_46,X_46)),X_47)
| mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) = mult(unit,X_47) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))),mult(mult(i(mult(X_46,X_46)),mult(X_46,X_46)),X_47)) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_201,plain,
( mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) != mult(mult(i(mult(X_46,X_46)),mult(X_46,X_46)),X_47)
| mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) = mult(unit,X_47) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_46,X_46)),mult(X_46,X_46)),unit) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) = mult(unit,X_47),
inference(resolve,[$cnf( $equal(mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))),mult(mult(i(mult(X_46,X_46)),mult(X_46,X_46)),X_47)) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
mult(unit,X_47) = X_47,
inference(subst,[],[refute_0_9:[bind(A,$fot(X_47))]]) ).
cnf(refute_0_204,plain,
( mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) != mult(unit,X_47)
| mult(unit,X_47) != X_47
| mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) = X_47 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))),X_47) ),[0],$fot(mult(unit,X_47))]]) ).
cnf(refute_0_205,plain,
( mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) != mult(unit,X_47)
| mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) = X_47 ),
inference(resolve,[$cnf( $equal(mult(unit,X_47),X_47) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))) = X_47,
inference(resolve,[$cnf( $equal(mult(i(mult(X_46,X_46)),mult(X_46,mult(X_46,X_47))),mult(unit,X_47)) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))) = X_49,
inference(subst,[],[refute_0_206:[bind(X_46,$fot(X_48)),bind(X_47,$fot(X_49))]]) ).
cnf(refute_0_208,plain,
( mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))))) != mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))
| mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))) != X_49
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))))),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))) ),[0,1,1],$fot(X_49)]]) ).
cnf(refute_0_209,plain,
( mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))))) != mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))),X_49) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))),
inference(resolve,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))))),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))) )],[refute_0_189,refute_0_209]) ).
cnf(refute_0_211,plain,
mult(X_48,mult(i(mult(X_48,X_48)),X_49)) = mult(i(X_48),X_49),
inference(subst,[],[refute_0_183:[bind(X_5,$fot(X_48)),bind(X_7,$fot(X_49))]]) ).
cnf(refute_0_212,plain,
mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))) = mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))),
introduced(tautology,[refl,[$fot(mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))))]]) ).
cnf(refute_0_213,plain,
( mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))) != mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49)))
| mult(X_48,mult(i(mult(X_48,X_48)),X_49)) != mult(i(X_48),X_49)
| mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))) = mult(X_48,mult(i(X_48),X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))),mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49)))) ),[1,1],$fot(mult(i(X_48),X_49))]]) ).
cnf(refute_0_214,plain,
( mult(X_48,mult(i(mult(X_48,X_48)),X_49)) != mult(i(X_48),X_49)
| mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))) = mult(X_48,mult(i(X_48),X_49)) ),
inference(resolve,[$cnf( $equal(mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))),mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))) = mult(X_48,mult(i(X_48),X_49)),
inference(resolve,[$cnf( $equal(mult(X_48,mult(i(mult(X_48,X_48)),X_49)),mult(i(X_48),X_49)) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( mult(X_6,mult(X_6,X_7)) != mult(mult(X_6,X_6),X_7)
| mult(mult(X_6,X_6),X_7) = mult(X_6,mult(X_6,X_7)) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(mult(X_6,mult(X_6,X_7)))),bind(Y,$fot(mult(mult(X_6,X_6),X_7)))]]) ).
cnf(refute_0_217,plain,
mult(mult(X_6,X_6),X_7) = mult(X_6,mult(X_6,X_7)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(X_6,X_7)),mult(mult(X_6,X_6),X_7)) )],[refute_0_26,refute_0_216]) ).
cnf(refute_0_218,plain,
mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) = mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))),
inference(subst,[],[refute_0_217:[bind(X_6,$fot(X_48)),bind(X_7,$fot(mult(i(mult(X_48,X_48)),X_49)))]]) ).
cnf(refute_0_219,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_220,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_47,refute_0_219]) ).
cnf(refute_0_221,plain,
( mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))) != mult(X_48,mult(i(X_48),X_49))
| mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) != mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49)))
| mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) = mult(X_48,mult(i(X_48),X_49)) ),
inference(subst,[],[refute_0_220:[bind(X,$fot(mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)))),bind(Y,$fot(mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))))),bind(Z,$fot(mult(X_48,mult(i(X_48),X_49))))]]) ).
cnf(refute_0_222,plain,
( mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))) != mult(X_48,mult(i(X_48),X_49))
| mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) = mult(X_48,mult(i(X_48),X_49)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)),mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49)))) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) = mult(X_48,mult(i(X_48),X_49)),
inference(resolve,[$cnf( $equal(mult(X_48,mult(X_48,mult(i(mult(X_48,X_48)),X_49))),mult(X_48,mult(i(X_48),X_49))) )],[refute_0_215,refute_0_222]) ).
cnf(refute_0_224,plain,
mult(i(i(X_9)),mult(i(X_9),mult(i(X_9),mult(X_9,X_9)))) = mult(i(X_9),mult(X_9,X_9)),
inference(subst,[],[refute_0_40:[bind(X_6,$fot(i(X_9))),bind(X_7,$fot(mult(X_9,X_9)))]]) ).
cnf(refute_0_225,plain,
mult(i(X_9),mult(X_9,X_9)) = mult(mult(i(X_9),X_9),X_9),
inference(subst,[],[refute_0_64:[bind(X_5,$fot(i(X_9))),bind(X_6,$fot(X_9))]]) ).
cnf(refute_0_226,plain,
mult(i(X_9),X_9) = unit,
inference(subst,[],[refute_0_29:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_227,plain,
( mult(i(X_9),X_9) != unit
| mult(i(X_9),mult(X_9,X_9)) != mult(mult(i(X_9),X_9),X_9)
| mult(i(X_9),mult(X_9,X_9)) = mult(unit,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_9),mult(X_9,X_9)),mult(mult(i(X_9),X_9),X_9)) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_228,plain,
( mult(i(X_9),mult(X_9,X_9)) != mult(mult(i(X_9),X_9),X_9)
| mult(i(X_9),mult(X_9,X_9)) = mult(unit,X_9) ),
inference(resolve,[$cnf( $equal(mult(i(X_9),X_9),unit) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
mult(i(X_9),mult(X_9,X_9)) = mult(unit,X_9),
inference(resolve,[$cnf( $equal(mult(i(X_9),mult(X_9,X_9)),mult(mult(i(X_9),X_9),X_9)) )],[refute_0_225,refute_0_228]) ).
cnf(refute_0_230,plain,
mult(unit,X_9) = X_9,
inference(subst,[],[refute_0_9:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_231,plain,
( mult(i(X_9),mult(X_9,X_9)) != mult(unit,X_9)
| mult(unit,X_9) != X_9
| mult(i(X_9),mult(X_9,X_9)) = X_9 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(X_9),mult(X_9,X_9)),X_9) ),[0],$fot(mult(unit,X_9))]]) ).
cnf(refute_0_232,plain,
( mult(i(X_9),mult(X_9,X_9)) != mult(unit,X_9)
| mult(i(X_9),mult(X_9,X_9)) = X_9 ),
inference(resolve,[$cnf( $equal(mult(unit,X_9),X_9) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
mult(i(X_9),mult(X_9,X_9)) = X_9,
inference(resolve,[$cnf( $equal(mult(i(X_9),mult(X_9,X_9)),mult(unit,X_9)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( mult(i(X_9),mult(X_9,X_9)) != X_9
| mult(i(i(X_9)),mult(i(X_9),mult(i(X_9),mult(X_9,X_9)))) != mult(i(X_9),mult(X_9,X_9))
| mult(i(i(X_9)),mult(i(X_9),X_9)) = mult(i(X_9),mult(X_9,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),mult(i(X_9),mult(X_9,X_9)))),mult(i(X_9),mult(X_9,X_9))) ),[0,1,1],$fot(X_9)]]) ).
cnf(refute_0_235,plain,
( mult(i(i(X_9)),mult(i(X_9),mult(i(X_9),mult(X_9,X_9)))) != mult(i(X_9),mult(X_9,X_9))
| mult(i(i(X_9)),mult(i(X_9),X_9)) = mult(i(X_9),mult(X_9,X_9)) ),
inference(resolve,[$cnf( $equal(mult(i(X_9),mult(X_9,X_9)),X_9) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
mult(i(i(X_9)),mult(i(X_9),X_9)) = mult(i(X_9),mult(X_9,X_9)),
inference(resolve,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),mult(i(X_9),mult(X_9,X_9)))),mult(i(X_9),mult(X_9,X_9))) )],[refute_0_224,refute_0_235]) ).
cnf(refute_0_237,plain,
mult(i(i(X_9)),unit) = i(i(X_9)),
inference(subst,[],[refute_0_42:[bind(A,$fot(i(i(X_9))))]]) ).
cnf(refute_0_238,plain,
mult(i(i(X_9)),mult(i(X_9),X_9)) = mult(i(i(X_9)),mult(i(X_9),X_9)),
introduced(tautology,[refl,[$fot(mult(i(i(X_9)),mult(i(X_9),X_9)))]]) ).
cnf(refute_0_239,plain,
( mult(i(X_9),X_9) != unit
| mult(i(i(X_9)),mult(i(X_9),X_9)) != mult(i(i(X_9)),mult(i(X_9),X_9))
| mult(i(i(X_9)),mult(i(X_9),X_9)) = mult(i(i(X_9)),unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),X_9)),mult(i(i(X_9)),mult(i(X_9),X_9))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_240,plain,
( mult(i(X_9),X_9) != unit
| mult(i(i(X_9)),mult(i(X_9),X_9)) = mult(i(i(X_9)),unit) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),X_9)),mult(i(i(X_9)),mult(i(X_9),X_9))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
mult(i(i(X_9)),mult(i(X_9),X_9)) = mult(i(i(X_9)),unit),
inference(resolve,[$cnf( $equal(mult(i(X_9),X_9),unit) )],[refute_0_226,refute_0_240]) ).
cnf(refute_0_242,plain,
( mult(i(i(X_9)),mult(i(X_9),X_9)) != mult(i(i(X_9)),unit)
| mult(i(i(X_9)),unit) != i(i(X_9))
| mult(i(i(X_9)),mult(i(X_9),X_9)) = i(i(X_9)) ),
inference(subst,[],[refute_0_220:[bind(X,$fot(mult(i(i(X_9)),mult(i(X_9),X_9)))),bind(Y,$fot(mult(i(i(X_9)),unit))),bind(Z,$fot(i(i(X_9))))]]) ).
cnf(refute_0_243,plain,
( mult(i(i(X_9)),unit) != i(i(X_9))
| mult(i(i(X_9)),mult(i(X_9),X_9)) = i(i(X_9)) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),X_9)),mult(i(i(X_9)),unit)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
mult(i(i(X_9)),mult(i(X_9),X_9)) = i(i(X_9)),
inference(resolve,[$cnf( $equal(mult(i(i(X_9)),unit),i(i(X_9))) )],[refute_0_237,refute_0_243]) ).
cnf(refute_0_245,plain,
( mult(i(i(X_9)),mult(i(X_9),X_9)) != i(i(X_9))
| mult(i(i(X_9)),mult(i(X_9),X_9)) != mult(i(X_9),mult(X_9,X_9))
| i(i(X_9)) = mult(i(X_9),mult(X_9,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),X_9)),mult(i(X_9),mult(X_9,X_9))) ),[0],$fot(i(i(X_9)))]]) ).
cnf(refute_0_246,plain,
( mult(i(i(X_9)),mult(i(X_9),X_9)) != mult(i(X_9),mult(X_9,X_9))
| i(i(X_9)) = mult(i(X_9),mult(X_9,X_9)) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),X_9)),i(i(X_9))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( i(i(X_9)) != mult(i(X_9),mult(X_9,X_9))
| mult(i(X_9),mult(X_9,X_9)) != X_9
| i(i(X_9)) = X_9 ),
introduced(tautology,[equality,[$cnf( ~ $equal(i(i(X_9)),X_9) ),[0],$fot(mult(i(X_9),mult(X_9,X_9)))]]) ).
cnf(refute_0_248,plain,
( i(i(X_9)) != mult(i(X_9),mult(X_9,X_9))
| i(i(X_9)) = X_9 ),
inference(resolve,[$cnf( $equal(mult(i(X_9),mult(X_9,X_9)),X_9) )],[refute_0_233,refute_0_247]) ).
cnf(refute_0_249,plain,
( mult(i(i(X_9)),mult(i(X_9),X_9)) != mult(i(X_9),mult(X_9,X_9))
| i(i(X_9)) = X_9 ),
inference(resolve,[$cnf( $equal(i(i(X_9)),mult(i(X_9),mult(X_9,X_9))) )],[refute_0_246,refute_0_248]) ).
cnf(refute_0_250,plain,
i(i(X_9)) = X_9,
inference(resolve,[$cnf( $equal(mult(i(i(X_9)),mult(i(X_9),X_9)),mult(i(X_9),mult(X_9,X_9))) )],[refute_0_236,refute_0_249]) ).
cnf(refute_0_251,plain,
i(i(mult(X_48,X_48))) = mult(X_48,X_48),
inference(subst,[],[refute_0_250:[bind(X_9,$fot(mult(X_48,X_48)))]]) ).
cnf(refute_0_252,plain,
mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)),
introduced(tautology,[refl,[$fot(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)))]]) ).
cnf(refute_0_253,plain,
( i(i(mult(X_48,X_48))) != mult(X_48,X_48)
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) != mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49))
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)),mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49))) ),[1,0],$fot(mult(X_48,X_48))]]) ).
cnf(refute_0_254,plain,
( i(i(mult(X_48,X_48))) != mult(X_48,X_48)
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) ),
inference(resolve,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)),mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)),
inference(resolve,[$cnf( $equal(i(i(mult(X_48,X_48))),mult(X_48,X_48)) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) != mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49))
| mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) != mult(X_48,mult(i(X_48),X_49))
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(X_48,mult(i(X_48),X_49)) ),
inference(subst,[],[refute_0_220:[bind(X,$fot(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)))),bind(Y,$fot(mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)))),bind(Z,$fot(mult(X_48,mult(i(X_48),X_49))))]]) ).
cnf(refute_0_257,plain,
( mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)) != mult(X_48,mult(i(X_48),X_49))
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(X_48,mult(i(X_48),X_49)) ),
inference(resolve,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)),mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) = mult(X_48,mult(i(X_48),X_49)),
inference(resolve,[$cnf( $equal(mult(mult(X_48,X_48),mult(i(mult(X_48,X_48)),X_49)),mult(X_48,mult(i(X_48),X_49))) )],[refute_0_223,refute_0_257]) ).
cnf(refute_0_259,plain,
( mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) != mult(X_48,mult(i(X_48),X_49))
| mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) != mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))
| mult(X_48,mult(i(X_48),X_49)) = mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))) ),[0],$fot(mult(X_48,mult(i(X_48),X_49)))]]) ).
cnf(refute_0_260,plain,
( mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) != mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))
| mult(X_48,mult(i(X_48),X_49)) = mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))) ),
inference(resolve,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)),mult(X_48,mult(i(X_48),X_49))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( mult(X_48,mult(i(X_48),X_49)) != mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))
| mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))) != X_49
| mult(X_48,mult(i(X_48),X_49)) = X_49 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_48,mult(i(X_48),X_49)),X_49) ),[0],$fot(mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))))]]) ).
cnf(refute_0_262,plain,
( mult(X_48,mult(i(X_48),X_49)) != mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))
| mult(X_48,mult(i(X_48),X_49)) = X_49 ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49))),X_49) )],[refute_0_207,refute_0_261]) ).
cnf(refute_0_263,plain,
( mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)) != mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))
| mult(X_48,mult(i(X_48),X_49)) = X_49 ),
inference(resolve,[$cnf( $equal(mult(X_48,mult(i(X_48),X_49)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))) )],[refute_0_260,refute_0_262]) ).
cnf(refute_0_264,plain,
mult(X_48,mult(i(X_48),X_49)) = X_49,
inference(resolve,[$cnf( $equal(mult(i(i(mult(X_48,X_48))),mult(i(mult(X_48,X_48)),X_49)),mult(i(mult(X_48,X_48)),mult(X_48,mult(X_48,X_49)))) )],[refute_0_210,refute_0_263]) ).
cnf(refute_0_265,plain,
mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)) = X_51,
inference(subst,[],[refute_0_264:[bind(X_48,$fot(i(skolemFOFtoCNF_X0))),bind(X_49,$fot(X_51))]]) ).
cnf(refute_0_266,plain,
( X_51 != skolemFOFtoCNF_X1
| mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)) != X_51
| mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)) = skolemFOFtoCNF_X1 ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)),X_51) ),[1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_267,plain,
( X_51 != skolemFOFtoCNF_X1
| mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)),X_51) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
X_51 != skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(mult(i(skolemFOFtoCNF_X0),mult(i(i(skolemFOFtoCNF_X0)),X_51)),skolemFOFtoCNF_X1) )],[refute_0_267,refute_0_188]) ).
cnf(refute_0_269,plain,
skolemFOFtoCNF_X1 != skolemFOFtoCNF_X1,
inference(subst,[],[refute_0_268:[bind(X_51,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_270,plain,
skolemFOFtoCNF_X1 = skolemFOFtoCNF_X1,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_271,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) )],[refute_0_270,refute_0_269]) ).
fof(negate_1_0,plain,
~ ( ! [X0,X1] :
? [X2] : mult(X0,X2) = X1
=> ! [X3,X4] :
? [X5] : mult(X5,X4) = X3 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ? [X3,X4] :
! [X5] : mult(X5,X4) != X3
& ! [X0,X1] :
? [X2] : mult(X0,X2) = X1 ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
? [X3,X4] :
! [X5] : mult(X5,X4) != X3,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [X5] : mult(X5,skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3,
inference(skolemize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X5] : mult(X5,skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3,
inference(specialize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[f03]) ).
fof(normalize_1_5,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [A] : mult(A,i(A)) = unit,
inference(canonicalize,[],[f04]) ).
fof(normalize_1_7,plain,
! [A] : mult(A,i(A)) = unit,
inference(specialize,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [A] : mult(unit,A) = A,
inference(canonicalize,[],[f02]) ).
fof(normalize_1_9,plain,
! [A] : mult(unit,A) = A,
inference(specialize,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [X0,X1] :
? [X2] : mult(X0,X2) = X1,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_11,plain,
! [X0,X1] :
? [X2] : mult(X0,X2) = X1,
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [X0,X1] : mult(X0,skolemFOFtoCNF_X2(X0,X1)) = X1,
inference(skolemize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [A] : mult(i(A),A) = unit,
inference(canonicalize,[],[f05]) ).
fof(normalize_1_14,plain,
! [A] : mult(i(A),A) = unit,
inference(specialize,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [A] : mult(A,unit) = A,
inference(canonicalize,[],[f01]) ).
fof(normalize_1_16,plain,
! [A] : mult(A,unit) = A,
inference(specialize,[],[normalize_1_15]) ).
cnf(refute_1_0,plain,
mult(X5,skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3,
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
mult(i(X_85),skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3,
inference(subst,[],[refute_1_0:[bind(X5,$fot(i(X_85)))]]) ).
cnf(refute_1_2,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_3,plain,
mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) = mult(mult(mult(X_60,i(X_60)),i(X_60)),X_62),
inference(subst,[],[refute_1_2:[bind(A,$fot(X_60)),bind(B,$fot(i(X_60))),bind(C,$fot(X_62))]]) ).
cnf(refute_1_4,plain,
mult(A,i(A)) = unit,
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_5,plain,
mult(X_60,i(X_60)) = unit,
inference(subst,[],[refute_1_4:[bind(A,$fot(X_60))]]) ).
cnf(refute_1_6,plain,
( mult(X_60,i(X_60)) != unit
| mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) != mult(mult(mult(X_60,i(X_60)),i(X_60)),X_62)
| mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) = mult(mult(unit,i(X_60)),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_60,mult(i(X_60),mult(i(X_60),X_62))),mult(mult(mult(X_60,i(X_60)),i(X_60)),X_62)) ),[1,0,0],$fot(unit)]]) ).
cnf(refute_1_7,plain,
( mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) != mult(mult(mult(X_60,i(X_60)),i(X_60)),X_62)
| mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) = mult(mult(unit,i(X_60)),X_62) ),
inference(resolve,[$cnf( $equal(mult(X_60,i(X_60)),unit) )],[refute_1_5,refute_1_6]) ).
cnf(refute_1_8,plain,
mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) = mult(mult(unit,i(X_60)),X_62),
inference(resolve,[$cnf( $equal(mult(X_60,mult(i(X_60),mult(i(X_60),X_62))),mult(mult(mult(X_60,i(X_60)),i(X_60)),X_62)) )],[refute_1_3,refute_1_7]) ).
cnf(refute_1_9,plain,
mult(unit,A) = A,
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_10,plain,
mult(unit,i(X_60)) = i(X_60),
inference(subst,[],[refute_1_9:[bind(A,$fot(i(X_60)))]]) ).
cnf(refute_1_11,plain,
mult(mult(unit,i(X_60)),X_62) = mult(mult(unit,i(X_60)),X_62),
introduced(tautology,[refl,[$fot(mult(mult(unit,i(X_60)),X_62))]]) ).
cnf(refute_1_12,plain,
( mult(mult(unit,i(X_60)),X_62) != mult(mult(unit,i(X_60)),X_62)
| mult(unit,i(X_60)) != i(X_60)
| mult(mult(unit,i(X_60)),X_62) = mult(i(X_60),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(unit,i(X_60)),X_62),mult(mult(unit,i(X_60)),X_62)) ),[1,0],$fot(i(X_60))]]) ).
cnf(refute_1_13,plain,
( mult(unit,i(X_60)) != i(X_60)
| mult(mult(unit,i(X_60)),X_62) = mult(i(X_60),X_62) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,i(X_60)),X_62),mult(mult(unit,i(X_60)),X_62)) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
mult(mult(unit,i(X_60)),X_62) = mult(i(X_60),X_62),
inference(resolve,[$cnf( $equal(mult(unit,i(X_60)),i(X_60)) )],[refute_1_10,refute_1_13]) ).
cnf(refute_1_15,plain,
( mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) != mult(mult(unit,i(X_60)),X_62)
| mult(mult(unit,i(X_60)),X_62) != mult(i(X_60),X_62)
| mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) = mult(i(X_60),X_62) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_60,mult(i(X_60),mult(i(X_60),X_62))),mult(i(X_60),X_62)) ),[0],$fot(mult(mult(unit,i(X_60)),X_62))]]) ).
cnf(refute_1_16,plain,
( mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) != mult(mult(unit,i(X_60)),X_62)
| mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) = mult(i(X_60),X_62) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,i(X_60)),X_62),mult(i(X_60),X_62)) )],[refute_1_14,refute_1_15]) ).
cnf(refute_1_17,plain,
mult(X_60,mult(i(X_60),mult(i(X_60),X_62))) = mult(i(X_60),X_62),
inference(resolve,[$cnf( $equal(mult(X_60,mult(i(X_60),mult(i(X_60),X_62))),mult(mult(unit,i(X_60)),X_62)) )],[refute_1_8,refute_1_16]) ).
cnf(refute_1_18,plain,
mult(X_76,mult(i(X_76),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)))) = mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)),
inference(subst,[],[refute_1_17:[bind(X_60,$fot(X_76)),bind(X_62,$fot(skolemFOFtoCNF_X2(i(X_76),X1)))]]) ).
cnf(refute_1_19,plain,
mult(X0,skolemFOFtoCNF_X2(X0,X1)) = X1,
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_20,plain,
mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)) = X1,
inference(subst,[],[refute_1_19:[bind(X0,$fot(i(X_76)))]]) ).
cnf(refute_1_21,plain,
( mult(X_76,mult(i(X_76),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)))) != mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1))
| mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)) != X1
| mult(X_76,mult(i(X_76),X1)) = mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_76,mult(i(X_76),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)))),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1))) ),[0,1,1],$fot(X1)]]) ).
cnf(refute_1_22,plain,
( mult(X_76,mult(i(X_76),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)))) != mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1))
| mult(X_76,mult(i(X_76),X1)) = mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)) ),
inference(resolve,[$cnf( $equal(mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)),X1) )],[refute_1_20,refute_1_21]) ).
cnf(refute_1_23,plain,
mult(X_76,mult(i(X_76),X1)) = mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)),
inference(resolve,[$cnf( $equal(mult(X_76,mult(i(X_76),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)))),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1))) )],[refute_1_18,refute_1_22]) ).
cnf(refute_1_24,plain,
( mult(X_76,mult(i(X_76),X1)) != mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1))
| mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)) != X1
| mult(X_76,mult(i(X_76),X1)) = X1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_76,mult(i(X_76),X1)),X1) ),[0],$fot(mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)))]]) ).
cnf(refute_1_25,plain,
( mult(X_76,mult(i(X_76),X1)) != mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1))
| mult(X_76,mult(i(X_76),X1)) = X1 ),
inference(resolve,[$cnf( $equal(mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1)),X1) )],[refute_1_20,refute_1_24]) ).
cnf(refute_1_26,plain,
mult(X_76,mult(i(X_76),X1)) = X1,
inference(resolve,[$cnf( $equal(mult(X_76,mult(i(X_76),X1)),mult(i(X_76),skolemFOFtoCNF_X2(i(X_76),X1))) )],[refute_1_23,refute_1_25]) ).
cnf(refute_1_27,plain,
mult(X_79,mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1))) = skolemFOFtoCNF_X2(i(X_79),X1),
inference(subst,[],[refute_1_26:[bind(X1,$fot(skolemFOFtoCNF_X2(i(X_79),X1))),bind(X_76,$fot(X_79))]]) ).
cnf(refute_1_28,plain,
mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1)) = X1,
inference(subst,[],[refute_1_19:[bind(X0,$fot(i(X_79)))]]) ).
cnf(refute_1_29,plain,
( mult(X_79,mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1))) != skolemFOFtoCNF_X2(i(X_79),X1)
| mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1)) != X1
| mult(X_79,X1) = skolemFOFtoCNF_X2(i(X_79),X1) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_79,mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1))),skolemFOFtoCNF_X2(i(X_79),X1)) ),[0,1],$fot(X1)]]) ).
cnf(refute_1_30,plain,
( mult(X_79,mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1))) != skolemFOFtoCNF_X2(i(X_79),X1)
| mult(X_79,X1) = skolemFOFtoCNF_X2(i(X_79),X1) ),
inference(resolve,[$cnf( $equal(mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1)),X1) )],[refute_1_28,refute_1_29]) ).
cnf(refute_1_31,plain,
mult(X_79,X1) = skolemFOFtoCNF_X2(i(X_79),X1),
inference(resolve,[$cnf( $equal(mult(X_79,mult(i(X_79),skolemFOFtoCNF_X2(i(X_79),X1))),skolemFOFtoCNF_X2(i(X_79),X1)) )],[refute_1_27,refute_1_30]) ).
cnf(refute_1_32,plain,
mult(i(X_64),X_80) = skolemFOFtoCNF_X2(i(i(X_64)),X_80),
inference(subst,[],[refute_1_31:[bind(X1,$fot(X_80)),bind(X_79,$fot(i(X_64)))]]) ).
cnf(refute_1_33,plain,
mult(i(X_61),mult(X_61,mult(X_61,X_62))) = mult(mult(mult(i(X_61),X_61),X_61),X_62),
inference(subst,[],[refute_1_2:[bind(A,$fot(i(X_61))),bind(B,$fot(X_61)),bind(C,$fot(X_62))]]) ).
cnf(refute_1_34,plain,
mult(i(A),A) = unit,
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_35,plain,
mult(i(X_61),X_61) = unit,
inference(subst,[],[refute_1_34:[bind(A,$fot(X_61))]]) ).
cnf(refute_1_36,plain,
( mult(i(X_61),X_61) != unit
| mult(i(X_61),mult(X_61,mult(X_61,X_62))) != mult(mult(mult(i(X_61),X_61),X_61),X_62)
| mult(i(X_61),mult(X_61,mult(X_61,X_62))) = mult(mult(unit,X_61),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_61),mult(X_61,mult(X_61,X_62))),mult(mult(mult(i(X_61),X_61),X_61),X_62)) ),[1,0,0],$fot(unit)]]) ).
cnf(refute_1_37,plain,
( mult(i(X_61),mult(X_61,mult(X_61,X_62))) != mult(mult(mult(i(X_61),X_61),X_61),X_62)
| mult(i(X_61),mult(X_61,mult(X_61,X_62))) = mult(mult(unit,X_61),X_62) ),
inference(resolve,[$cnf( $equal(mult(i(X_61),X_61),unit) )],[refute_1_35,refute_1_36]) ).
cnf(refute_1_38,plain,
mult(i(X_61),mult(X_61,mult(X_61,X_62))) = mult(mult(unit,X_61),X_62),
inference(resolve,[$cnf( $equal(mult(i(X_61),mult(X_61,mult(X_61,X_62))),mult(mult(mult(i(X_61),X_61),X_61),X_62)) )],[refute_1_33,refute_1_37]) ).
cnf(refute_1_39,plain,
mult(unit,X_61) = X_61,
inference(subst,[],[refute_1_9:[bind(A,$fot(X_61))]]) ).
cnf(refute_1_40,plain,
mult(mult(unit,X_61),X_62) = mult(mult(unit,X_61),X_62),
introduced(tautology,[refl,[$fot(mult(mult(unit,X_61),X_62))]]) ).
cnf(refute_1_41,plain,
( mult(mult(unit,X_61),X_62) != mult(mult(unit,X_61),X_62)
| mult(unit,X_61) != X_61
| mult(mult(unit,X_61),X_62) = mult(X_61,X_62) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(unit,X_61),X_62),mult(mult(unit,X_61),X_62)) ),[1,0],$fot(X_61)]]) ).
cnf(refute_1_42,plain,
( mult(unit,X_61) != X_61
| mult(mult(unit,X_61),X_62) = mult(X_61,X_62) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,X_61),X_62),mult(mult(unit,X_61),X_62)) )],[refute_1_40,refute_1_41]) ).
cnf(refute_1_43,plain,
mult(mult(unit,X_61),X_62) = mult(X_61,X_62),
inference(resolve,[$cnf( $equal(mult(unit,X_61),X_61) )],[refute_1_39,refute_1_42]) ).
cnf(refute_1_44,plain,
( mult(i(X_61),mult(X_61,mult(X_61,X_62))) != mult(mult(unit,X_61),X_62)
| mult(mult(unit,X_61),X_62) != mult(X_61,X_62)
| mult(i(X_61),mult(X_61,mult(X_61,X_62))) = mult(X_61,X_62) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(X_61),mult(X_61,mult(X_61,X_62))),mult(X_61,X_62)) ),[0],$fot(mult(mult(unit,X_61),X_62))]]) ).
cnf(refute_1_45,plain,
( mult(i(X_61),mult(X_61,mult(X_61,X_62))) != mult(mult(unit,X_61),X_62)
| mult(i(X_61),mult(X_61,mult(X_61,X_62))) = mult(X_61,X_62) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,X_61),X_62),mult(X_61,X_62)) )],[refute_1_43,refute_1_44]) ).
cnf(refute_1_46,plain,
mult(i(X_61),mult(X_61,mult(X_61,X_62))) = mult(X_61,X_62),
inference(resolve,[$cnf( $equal(mult(i(X_61),mult(X_61,mult(X_61,X_62))),mult(mult(unit,X_61),X_62)) )],[refute_1_38,refute_1_45]) ).
cnf(refute_1_47,plain,
mult(i(i(X_64)),mult(i(X_64),mult(i(X_64),mult(X_64,X_64)))) = mult(i(X_64),mult(X_64,X_64)),
inference(subst,[],[refute_1_46:[bind(X_61,$fot(i(X_64))),bind(X_62,$fot(mult(X_64,X_64)))]]) ).
cnf(refute_1_48,plain,
mult(A,unit) = A,
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_49,plain,
mult(mult(mult(X_60,X_61),X_61),unit) = mult(mult(X_60,X_61),X_61),
inference(subst,[],[refute_1_48:[bind(A,$fot(mult(mult(X_60,X_61),X_61)))]]) ).
cnf(refute_1_50,plain,
mult(X_60,mult(X_61,mult(X_61,unit))) = mult(mult(mult(X_60,X_61),X_61),unit),
inference(subst,[],[refute_1_2:[bind(A,$fot(X_60)),bind(B,$fot(X_61)),bind(C,$fot(unit))]]) ).
cnf(refute_1_51,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_52,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_53,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_51,refute_1_52]) ).
cnf(refute_1_54,plain,
( mult(X_60,mult(X_61,mult(X_61,unit))) != mult(mult(mult(X_60,X_61),X_61),unit)
| mult(mult(mult(X_60,X_61),X_61),unit) = mult(X_60,mult(X_61,mult(X_61,unit))) ),
inference(subst,[],[refute_1_53:[bind(X,$fot(mult(X_60,mult(X_61,mult(X_61,unit))))),bind(Y,$fot(mult(mult(mult(X_60,X_61),X_61),unit)))]]) ).
cnf(refute_1_55,plain,
mult(mult(mult(X_60,X_61),X_61),unit) = mult(X_60,mult(X_61,mult(X_61,unit))),
inference(resolve,[$cnf( $equal(mult(X_60,mult(X_61,mult(X_61,unit))),mult(mult(mult(X_60,X_61),X_61),unit)) )],[refute_1_50,refute_1_54]) ).
cnf(refute_1_56,plain,
( mult(mult(mult(X_60,X_61),X_61),unit) != mult(X_60,mult(X_61,mult(X_61,unit)))
| mult(mult(mult(X_60,X_61),X_61),unit) != mult(mult(X_60,X_61),X_61)
| mult(X_60,mult(X_61,mult(X_61,unit))) = mult(mult(X_60,X_61),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_60,X_61),X_61),unit),mult(mult(X_60,X_61),X_61)) ),[0],$fot(mult(X_60,mult(X_61,mult(X_61,unit))))]]) ).
cnf(refute_1_57,plain,
( mult(mult(mult(X_60,X_61),X_61),unit) != mult(mult(X_60,X_61),X_61)
| mult(X_60,mult(X_61,mult(X_61,unit))) = mult(mult(X_60,X_61),X_61) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_60,X_61),X_61),unit),mult(X_60,mult(X_61,mult(X_61,unit)))) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
mult(X_60,mult(X_61,mult(X_61,unit))) = mult(mult(X_60,X_61),X_61),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_60,X_61),X_61),unit),mult(mult(X_60,X_61),X_61)) )],[refute_1_49,refute_1_57]) ).
cnf(refute_1_59,plain,
mult(X_61,unit) = X_61,
inference(subst,[],[refute_1_48:[bind(A,$fot(X_61))]]) ).
cnf(refute_1_60,plain,
mult(X_61,mult(X_61,unit)) = mult(X_61,mult(X_61,unit)),
introduced(tautology,[refl,[$fot(mult(X_61,mult(X_61,unit)))]]) ).
cnf(refute_1_61,plain,
( mult(X_61,mult(X_61,unit)) != mult(X_61,mult(X_61,unit))
| mult(X_61,unit) != X_61
| mult(X_61,mult(X_61,unit)) = mult(X_61,X_61) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_61,mult(X_61,unit)),mult(X_61,mult(X_61,unit))) ),[1,1],$fot(X_61)]]) ).
cnf(refute_1_62,plain,
( mult(X_61,unit) != X_61
| mult(X_61,mult(X_61,unit)) = mult(X_61,X_61) ),
inference(resolve,[$cnf( $equal(mult(X_61,mult(X_61,unit)),mult(X_61,mult(X_61,unit))) )],[refute_1_60,refute_1_61]) ).
cnf(refute_1_63,plain,
mult(X_61,mult(X_61,unit)) = mult(X_61,X_61),
inference(resolve,[$cnf( $equal(mult(X_61,unit),X_61) )],[refute_1_59,refute_1_62]) ).
cnf(refute_1_64,plain,
mult(X_60,mult(X_61,mult(X_61,unit))) = mult(X_60,mult(X_61,mult(X_61,unit))),
introduced(tautology,[refl,[$fot(mult(X_60,mult(X_61,mult(X_61,unit))))]]) ).
cnf(refute_1_65,plain,
( mult(X_60,mult(X_61,mult(X_61,unit))) != mult(X_60,mult(X_61,mult(X_61,unit)))
| mult(X_61,mult(X_61,unit)) != mult(X_61,X_61)
| mult(X_60,mult(X_61,mult(X_61,unit))) = mult(X_60,mult(X_61,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_60,mult(X_61,mult(X_61,unit))),mult(X_60,mult(X_61,mult(X_61,unit)))) ),[1,1],$fot(mult(X_61,X_61))]]) ).
cnf(refute_1_66,plain,
( mult(X_61,mult(X_61,unit)) != mult(X_61,X_61)
| mult(X_60,mult(X_61,mult(X_61,unit))) = mult(X_60,mult(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(mult(X_60,mult(X_61,mult(X_61,unit))),mult(X_60,mult(X_61,mult(X_61,unit)))) )],[refute_1_64,refute_1_65]) ).
cnf(refute_1_67,plain,
mult(X_60,mult(X_61,mult(X_61,unit))) = mult(X_60,mult(X_61,X_61)),
inference(resolve,[$cnf( $equal(mult(X_61,mult(X_61,unit)),mult(X_61,X_61)) )],[refute_1_63,refute_1_66]) ).
cnf(refute_1_68,plain,
( mult(X_60,mult(X_61,mult(X_61,unit))) != mult(X_60,mult(X_61,X_61))
| mult(X_60,mult(X_61,mult(X_61,unit))) != mult(mult(X_60,X_61),X_61)
| mult(X_60,mult(X_61,X_61)) = mult(mult(X_60,X_61),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_60,mult(X_61,mult(X_61,unit))),mult(mult(X_60,X_61),X_61)) ),[0],$fot(mult(X_60,mult(X_61,X_61)))]]) ).
cnf(refute_1_69,plain,
( mult(X_60,mult(X_61,mult(X_61,unit))) != mult(mult(X_60,X_61),X_61)
| mult(X_60,mult(X_61,X_61)) = mult(mult(X_60,X_61),X_61) ),
inference(resolve,[$cnf( $equal(mult(X_60,mult(X_61,mult(X_61,unit))),mult(X_60,mult(X_61,X_61))) )],[refute_1_67,refute_1_68]) ).
cnf(refute_1_70,plain,
mult(X_60,mult(X_61,X_61)) = mult(mult(X_60,X_61),X_61),
inference(resolve,[$cnf( $equal(mult(X_60,mult(X_61,mult(X_61,unit))),mult(mult(X_60,X_61),X_61)) )],[refute_1_58,refute_1_69]) ).
cnf(refute_1_71,plain,
mult(i(X_64),mult(X_64,X_64)) = mult(mult(i(X_64),X_64),X_64),
inference(subst,[],[refute_1_70:[bind(X_60,$fot(i(X_64))),bind(X_61,$fot(X_64))]]) ).
cnf(refute_1_72,plain,
mult(i(X_64),X_64) = unit,
inference(subst,[],[refute_1_34:[bind(A,$fot(X_64))]]) ).
cnf(refute_1_73,plain,
( mult(i(X_64),X_64) != unit
| mult(i(X_64),mult(X_64,X_64)) != mult(mult(i(X_64),X_64),X_64)
| mult(i(X_64),mult(X_64,X_64)) = mult(unit,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_64),mult(X_64,X_64)),mult(mult(i(X_64),X_64),X_64)) ),[1,0],$fot(unit)]]) ).
cnf(refute_1_74,plain,
( mult(i(X_64),mult(X_64,X_64)) != mult(mult(i(X_64),X_64),X_64)
| mult(i(X_64),mult(X_64,X_64)) = mult(unit,X_64) ),
inference(resolve,[$cnf( $equal(mult(i(X_64),X_64),unit) )],[refute_1_72,refute_1_73]) ).
cnf(refute_1_75,plain,
mult(i(X_64),mult(X_64,X_64)) = mult(unit,X_64),
inference(resolve,[$cnf( $equal(mult(i(X_64),mult(X_64,X_64)),mult(mult(i(X_64),X_64),X_64)) )],[refute_1_71,refute_1_74]) ).
cnf(refute_1_76,plain,
mult(unit,X_64) = X_64,
inference(subst,[],[refute_1_9:[bind(A,$fot(X_64))]]) ).
cnf(refute_1_77,plain,
( mult(i(X_64),mult(X_64,X_64)) != mult(unit,X_64)
| mult(unit,X_64) != X_64
| mult(i(X_64),mult(X_64,X_64)) = X_64 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(X_64),mult(X_64,X_64)),X_64) ),[0],$fot(mult(unit,X_64))]]) ).
cnf(refute_1_78,plain,
( mult(i(X_64),mult(X_64,X_64)) != mult(unit,X_64)
| mult(i(X_64),mult(X_64,X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(mult(unit,X_64),X_64) )],[refute_1_76,refute_1_77]) ).
cnf(refute_1_79,plain,
mult(i(X_64),mult(X_64,X_64)) = X_64,
inference(resolve,[$cnf( $equal(mult(i(X_64),mult(X_64,X_64)),mult(unit,X_64)) )],[refute_1_75,refute_1_78]) ).
cnf(refute_1_80,plain,
( mult(i(X_64),mult(X_64,X_64)) != X_64
| mult(i(i(X_64)),mult(i(X_64),mult(i(X_64),mult(X_64,X_64)))) != mult(i(X_64),mult(X_64,X_64))
| mult(i(i(X_64)),mult(i(X_64),X_64)) = mult(i(X_64),mult(X_64,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),mult(i(X_64),mult(X_64,X_64)))),mult(i(X_64),mult(X_64,X_64))) ),[0,1,1],$fot(X_64)]]) ).
cnf(refute_1_81,plain,
( mult(i(i(X_64)),mult(i(X_64),mult(i(X_64),mult(X_64,X_64)))) != mult(i(X_64),mult(X_64,X_64))
| mult(i(i(X_64)),mult(i(X_64),X_64)) = mult(i(X_64),mult(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(mult(i(X_64),mult(X_64,X_64)),X_64) )],[refute_1_79,refute_1_80]) ).
cnf(refute_1_82,plain,
mult(i(i(X_64)),mult(i(X_64),X_64)) = mult(i(X_64),mult(X_64,X_64)),
inference(resolve,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),mult(i(X_64),mult(X_64,X_64)))),mult(i(X_64),mult(X_64,X_64))) )],[refute_1_47,refute_1_81]) ).
cnf(refute_1_83,plain,
mult(i(i(X_64)),unit) = i(i(X_64)),
inference(subst,[],[refute_1_48:[bind(A,$fot(i(i(X_64))))]]) ).
cnf(refute_1_84,plain,
mult(i(i(X_64)),mult(i(X_64),X_64)) = mult(i(i(X_64)),mult(i(X_64),X_64)),
introduced(tautology,[refl,[$fot(mult(i(i(X_64)),mult(i(X_64),X_64)))]]) ).
cnf(refute_1_85,plain,
( mult(i(X_64),X_64) != unit
| mult(i(i(X_64)),mult(i(X_64),X_64)) != mult(i(i(X_64)),mult(i(X_64),X_64))
| mult(i(i(X_64)),mult(i(X_64),X_64)) = mult(i(i(X_64)),unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),X_64)),mult(i(i(X_64)),mult(i(X_64),X_64))) ),[1,1],$fot(unit)]]) ).
cnf(refute_1_86,plain,
( mult(i(X_64),X_64) != unit
| mult(i(i(X_64)),mult(i(X_64),X_64)) = mult(i(i(X_64)),unit) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),X_64)),mult(i(i(X_64)),mult(i(X_64),X_64))) )],[refute_1_84,refute_1_85]) ).
cnf(refute_1_87,plain,
mult(i(i(X_64)),mult(i(X_64),X_64)) = mult(i(i(X_64)),unit),
inference(resolve,[$cnf( $equal(mult(i(X_64),X_64),unit) )],[refute_1_72,refute_1_86]) ).
cnf(refute_1_88,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_89,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_53,refute_1_88]) ).
cnf(refute_1_90,plain,
( mult(i(i(X_64)),mult(i(X_64),X_64)) != mult(i(i(X_64)),unit)
| mult(i(i(X_64)),unit) != i(i(X_64))
| mult(i(i(X_64)),mult(i(X_64),X_64)) = i(i(X_64)) ),
inference(subst,[],[refute_1_89:[bind(X,$fot(mult(i(i(X_64)),mult(i(X_64),X_64)))),bind(Y,$fot(mult(i(i(X_64)),unit))),bind(Z,$fot(i(i(X_64))))]]) ).
cnf(refute_1_91,plain,
( mult(i(i(X_64)),unit) != i(i(X_64))
| mult(i(i(X_64)),mult(i(X_64),X_64)) = i(i(X_64)) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),X_64)),mult(i(i(X_64)),unit)) )],[refute_1_87,refute_1_90]) ).
cnf(refute_1_92,plain,
mult(i(i(X_64)),mult(i(X_64),X_64)) = i(i(X_64)),
inference(resolve,[$cnf( $equal(mult(i(i(X_64)),unit),i(i(X_64))) )],[refute_1_83,refute_1_91]) ).
cnf(refute_1_93,plain,
( mult(i(i(X_64)),mult(i(X_64),X_64)) != i(i(X_64))
| mult(i(i(X_64)),mult(i(X_64),X_64)) != mult(i(X_64),mult(X_64,X_64))
| i(i(X_64)) = mult(i(X_64),mult(X_64,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),X_64)),mult(i(X_64),mult(X_64,X_64))) ),[0],$fot(i(i(X_64)))]]) ).
cnf(refute_1_94,plain,
( mult(i(i(X_64)),mult(i(X_64),X_64)) != mult(i(X_64),mult(X_64,X_64))
| i(i(X_64)) = mult(i(X_64),mult(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),X_64)),i(i(X_64))) )],[refute_1_92,refute_1_93]) ).
cnf(refute_1_95,plain,
( i(i(X_64)) != mult(i(X_64),mult(X_64,X_64))
| mult(i(X_64),mult(X_64,X_64)) != X_64
| i(i(X_64)) = X_64 ),
introduced(tautology,[equality,[$cnf( ~ $equal(i(i(X_64)),X_64) ),[0],$fot(mult(i(X_64),mult(X_64,X_64)))]]) ).
cnf(refute_1_96,plain,
( i(i(X_64)) != mult(i(X_64),mult(X_64,X_64))
| i(i(X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(mult(i(X_64),mult(X_64,X_64)),X_64) )],[refute_1_79,refute_1_95]) ).
cnf(refute_1_97,plain,
( mult(i(i(X_64)),mult(i(X_64),X_64)) != mult(i(X_64),mult(X_64,X_64))
| i(i(X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(i(i(X_64)),mult(i(X_64),mult(X_64,X_64))) )],[refute_1_94,refute_1_96]) ).
cnf(refute_1_98,plain,
i(i(X_64)) = X_64,
inference(resolve,[$cnf( $equal(mult(i(i(X_64)),mult(i(X_64),X_64)),mult(i(X_64),mult(X_64,X_64))) )],[refute_1_82,refute_1_97]) ).
cnf(refute_1_99,plain,
( i(i(X_64)) != X_64
| mult(i(X_64),X_80) != skolemFOFtoCNF_X2(i(i(X_64)),X_80)
| mult(i(X_64),X_80) = skolemFOFtoCNF_X2(X_64,X_80) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_64),X_80),skolemFOFtoCNF_X2(i(i(X_64)),X_80)) ),[1,0],$fot(X_64)]]) ).
cnf(refute_1_100,plain,
( mult(i(X_64),X_80) != skolemFOFtoCNF_X2(i(i(X_64)),X_80)
| mult(i(X_64),X_80) = skolemFOFtoCNF_X2(X_64,X_80) ),
inference(resolve,[$cnf( $equal(i(i(X_64)),X_64) )],[refute_1_98,refute_1_99]) ).
cnf(refute_1_101,plain,
mult(i(X_64),X_80) = skolemFOFtoCNF_X2(X_64,X_80),
inference(resolve,[$cnf( $equal(mult(i(X_64),X_80),skolemFOFtoCNF_X2(i(i(X_64)),X_80)) )],[refute_1_32,refute_1_100]) ).
cnf(refute_1_102,plain,
mult(i(X_85),skolemFOFtoCNF_X4) = skolemFOFtoCNF_X2(X_85,skolemFOFtoCNF_X4),
inference(subst,[],[refute_1_101:[bind(X_64,$fot(X_85)),bind(X_80,$fot(skolemFOFtoCNF_X4))]]) ).
cnf(refute_1_103,plain,
( mult(i(X_85),skolemFOFtoCNF_X4) != skolemFOFtoCNF_X2(X_85,skolemFOFtoCNF_X4)
| skolemFOFtoCNF_X2(X_85,skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3
| mult(i(X_85),skolemFOFtoCNF_X4) = skolemFOFtoCNF_X3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(X_85),skolemFOFtoCNF_X4),skolemFOFtoCNF_X3) ),[0],$fot(skolemFOFtoCNF_X2(X_85,skolemFOFtoCNF_X4))]]) ).
cnf(refute_1_104,plain,
( skolemFOFtoCNF_X2(X_85,skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3
| mult(i(X_85),skolemFOFtoCNF_X4) = skolemFOFtoCNF_X3 ),
inference(resolve,[$cnf( $equal(mult(i(X_85),skolemFOFtoCNF_X4),skolemFOFtoCNF_X2(X_85,skolemFOFtoCNF_X4)) )],[refute_1_102,refute_1_103]) ).
cnf(refute_1_105,plain,
skolemFOFtoCNF_X2(X_85,skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3,
inference(resolve,[$cnf( $equal(mult(i(X_85),skolemFOFtoCNF_X4),skolemFOFtoCNF_X3) )],[refute_1_104,refute_1_1]) ).
cnf(refute_1_106,plain,
skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4) != skolemFOFtoCNF_X3,
inference(subst,[],[refute_1_105:[bind(X_85,$fot(mult(skolemFOFtoCNF_X4,X_124)))]]) ).
cnf(refute_1_107,plain,
mult(i(X_71),mult(X_71,mult(X_71,skolemFOFtoCNF_X2(X_71,X1)))) = mult(X_71,skolemFOFtoCNF_X2(X_71,X1)),
inference(subst,[],[refute_1_46:[bind(X_61,$fot(X_71)),bind(X_62,$fot(skolemFOFtoCNF_X2(X_71,X1)))]]) ).
cnf(refute_1_108,plain,
mult(X_71,skolemFOFtoCNF_X2(X_71,X1)) = X1,
inference(subst,[],[refute_1_19:[bind(X0,$fot(X_71))]]) ).
cnf(refute_1_109,plain,
( mult(X_71,skolemFOFtoCNF_X2(X_71,X1)) != X1
| mult(i(X_71),mult(X_71,mult(X_71,skolemFOFtoCNF_X2(X_71,X1)))) != mult(X_71,skolemFOFtoCNF_X2(X_71,X1))
| mult(i(X_71),mult(X_71,X1)) = mult(X_71,skolemFOFtoCNF_X2(X_71,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_71),mult(X_71,mult(X_71,skolemFOFtoCNF_X2(X_71,X1)))),mult(X_71,skolemFOFtoCNF_X2(X_71,X1))) ),[0,1,1],$fot(X1)]]) ).
cnf(refute_1_110,plain,
( mult(i(X_71),mult(X_71,mult(X_71,skolemFOFtoCNF_X2(X_71,X1)))) != mult(X_71,skolemFOFtoCNF_X2(X_71,X1))
| mult(i(X_71),mult(X_71,X1)) = mult(X_71,skolemFOFtoCNF_X2(X_71,X1)) ),
inference(resolve,[$cnf( $equal(mult(X_71,skolemFOFtoCNF_X2(X_71,X1)),X1) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
mult(i(X_71),mult(X_71,X1)) = mult(X_71,skolemFOFtoCNF_X2(X_71,X1)),
inference(resolve,[$cnf( $equal(mult(i(X_71),mult(X_71,mult(X_71,skolemFOFtoCNF_X2(X_71,X1)))),mult(X_71,skolemFOFtoCNF_X2(X_71,X1))) )],[refute_1_107,refute_1_110]) ).
cnf(refute_1_112,plain,
( mult(X_71,skolemFOFtoCNF_X2(X_71,X1)) != X1
| mult(i(X_71),mult(X_71,X1)) != mult(X_71,skolemFOFtoCNF_X2(X_71,X1))
| mult(i(X_71),mult(X_71,X1)) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_71),mult(X_71,X1)),mult(X_71,skolemFOFtoCNF_X2(X_71,X1))) ),[1],$fot(X1)]]) ).
cnf(refute_1_113,plain,
( mult(i(X_71),mult(X_71,X1)) != mult(X_71,skolemFOFtoCNF_X2(X_71,X1))
| mult(i(X_71),mult(X_71,X1)) = X1 ),
inference(resolve,[$cnf( $equal(mult(X_71,skolemFOFtoCNF_X2(X_71,X1)),X1) )],[refute_1_108,refute_1_112]) ).
cnf(refute_1_114,plain,
mult(i(X_71),mult(X_71,X1)) = X1,
inference(resolve,[$cnf( $equal(mult(i(X_71),mult(X_71,X1)),mult(X_71,skolemFOFtoCNF_X2(X_71,X1))) )],[refute_1_111,refute_1_113]) ).
cnf(refute_1_115,plain,
mult(i(X_71),mult(X_71,X1)) = skolemFOFtoCNF_X2(X_71,mult(X_71,X1)),
inference(subst,[],[refute_1_101:[bind(X_64,$fot(X_71)),bind(X_80,$fot(mult(X_71,X1)))]]) ).
cnf(refute_1_116,plain,
( mult(i(X_71),mult(X_71,X1)) != X1
| mult(i(X_71),mult(X_71,X1)) != skolemFOFtoCNF_X2(X_71,mult(X_71,X1))
| skolemFOFtoCNF_X2(X_71,mult(X_71,X1)) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_71),mult(X_71,X1)),X1) ),[0],$fot(skolemFOFtoCNF_X2(X_71,mult(X_71,X1)))]]) ).
cnf(refute_1_117,plain,
( mult(i(X_71),mult(X_71,X1)) != X1
| skolemFOFtoCNF_X2(X_71,mult(X_71,X1)) = X1 ),
inference(resolve,[$cnf( $equal(mult(i(X_71),mult(X_71,X1)),skolemFOFtoCNF_X2(X_71,mult(X_71,X1))) )],[refute_1_115,refute_1_116]) ).
cnf(refute_1_118,plain,
skolemFOFtoCNF_X2(X_71,mult(X_71,X1)) = X1,
inference(resolve,[$cnf( $equal(mult(i(X_71),mult(X_71,X1)),X1) )],[refute_1_114,refute_1_117]) ).
cnf(refute_1_119,plain,
skolemFOFtoCNF_X2(mult(X_60,X_90),mult(mult(X_60,X_90),X_90)) = X_90,
inference(subst,[],[refute_1_118:[bind(X1,$fot(X_90)),bind(X_71,$fot(mult(X_60,X_90)))]]) ).
cnf(refute_1_120,plain,
mult(X_60,mult(X_90,X_90)) = mult(mult(X_60,X_90),X_90),
inference(subst,[],[refute_1_70:[bind(X_61,$fot(X_90))]]) ).
cnf(refute_1_121,plain,
( mult(X_60,mult(X_90,X_90)) != mult(mult(X_60,X_90),X_90)
| mult(mult(X_60,X_90),X_90) = mult(X_60,mult(X_90,X_90)) ),
inference(subst,[],[refute_1_53:[bind(X,$fot(mult(X_60,mult(X_90,X_90)))),bind(Y,$fot(mult(mult(X_60,X_90),X_90)))]]) ).
cnf(refute_1_122,plain,
mult(mult(X_60,X_90),X_90) = mult(X_60,mult(X_90,X_90)),
inference(resolve,[$cnf( $equal(mult(X_60,mult(X_90,X_90)),mult(mult(X_60,X_90),X_90)) )],[refute_1_120,refute_1_121]) ).
cnf(refute_1_123,plain,
( mult(mult(X_60,X_90),X_90) != mult(X_60,mult(X_90,X_90))
| skolemFOFtoCNF_X2(mult(X_60,X_90),mult(mult(X_60,X_90),X_90)) != X_90
| skolemFOFtoCNF_X2(mult(X_60,X_90),mult(X_60,mult(X_90,X_90))) = X_90 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2(mult(X_60,X_90),mult(mult(X_60,X_90),X_90)),X_90) ),[0,1],$fot(mult(X_60,mult(X_90,X_90)))]]) ).
cnf(refute_1_124,plain,
( skolemFOFtoCNF_X2(mult(X_60,X_90),mult(mult(X_60,X_90),X_90)) != X_90
| skolemFOFtoCNF_X2(mult(X_60,X_90),mult(X_60,mult(X_90,X_90))) = X_90 ),
inference(resolve,[$cnf( $equal(mult(mult(X_60,X_90),X_90),mult(X_60,mult(X_90,X_90))) )],[refute_1_122,refute_1_123]) ).
cnf(refute_1_125,plain,
skolemFOFtoCNF_X2(mult(X_60,X_90),mult(X_60,mult(X_90,X_90))) = X_90,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(mult(X_60,X_90),mult(mult(X_60,X_90),X_90)),X_90) )],[refute_1_119,refute_1_124]) ).
cnf(refute_1_126,plain,
skolemFOFtoCNF_X2(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = i(skolemFOFtoCNF_X2(X_121,X_120)),
inference(subst,[],[refute_1_125:[bind(X_60,$fot(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)))),bind(X_90,$fot(i(skolemFOFtoCNF_X2(X_121,X_120))))]]) ).
cnf(refute_1_127,plain,
mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))) = mult(mult(mult(X_60,skolemFOFtoCNF_X2(X_60,X1)),skolemFOFtoCNF_X2(X_60,X1)),X_62),
inference(subst,[],[refute_1_2:[bind(A,$fot(X_60)),bind(B,$fot(skolemFOFtoCNF_X2(X_60,X1))),bind(C,$fot(X_62))]]) ).
cnf(refute_1_128,plain,
mult(X_60,skolemFOFtoCNF_X2(X_60,X1)) = X1,
inference(subst,[],[refute_1_19:[bind(X0,$fot(X_60))]]) ).
cnf(refute_1_129,plain,
( mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))) != mult(mult(mult(X_60,skolemFOFtoCNF_X2(X_60,X1)),skolemFOFtoCNF_X2(X_60,X1)),X_62)
| mult(X_60,skolemFOFtoCNF_X2(X_60,X1)) != X1
| mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))) = mult(mult(X1,skolemFOFtoCNF_X2(X_60,X1)),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))),mult(mult(mult(X_60,skolemFOFtoCNF_X2(X_60,X1)),skolemFOFtoCNF_X2(X_60,X1)),X_62)) ),[1,0,0],$fot(X1)]]) ).
cnf(refute_1_130,plain,
( mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))) != mult(mult(mult(X_60,skolemFOFtoCNF_X2(X_60,X1)),skolemFOFtoCNF_X2(X_60,X1)),X_62)
| mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))) = mult(mult(X1,skolemFOFtoCNF_X2(X_60,X1)),X_62) ),
inference(resolve,[$cnf( $equal(mult(X_60,skolemFOFtoCNF_X2(X_60,X1)),X1) )],[refute_1_128,refute_1_129]) ).
cnf(refute_1_131,plain,
mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))) = mult(mult(X1,skolemFOFtoCNF_X2(X_60,X1)),X_62),
inference(resolve,[$cnf( $equal(mult(X_60,mult(skolemFOFtoCNF_X2(X_60,X1),mult(skolemFOFtoCNF_X2(X_60,X1),X_62))),mult(mult(mult(X_60,skolemFOFtoCNF_X2(X_60,X1)),skolemFOFtoCNF_X2(X_60,X1)),X_62)) )],[refute_1_127,refute_1_130]) ).
cnf(refute_1_132,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117))),
inference(subst,[],[refute_1_131:[bind(X1,$fot(X_117)),bind(X_60,$fot(X_118)),bind(X_62,$fot(i(skolemFOFtoCNF_X2(X_118,X_117))))]]) ).
cnf(refute_1_133,plain,
mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))) = unit,
inference(subst,[],[refute_1_4:[bind(A,$fot(skolemFOFtoCNF_X2(X_118,X_117)))]]) ).
cnf(refute_1_134,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))
| mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))) != unit
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))) ),[0,1,1],$fot(unit)]]) ).
cnf(refute_1_135,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117))) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))),unit) )],[refute_1_133,refute_1_134]) ).
cnf(refute_1_136,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117))),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))) )],[refute_1_132,refute_1_135]) ).
cnf(refute_1_137,plain,
mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)) = X_117,
inference(subst,[],[refute_1_19:[bind(X0,$fot(X_118)),bind(X1,$fot(X_117))]]) ).
cnf(refute_1_138,plain,
mult(skolemFOFtoCNF_X2(X_118,X_117),unit) = skolemFOFtoCNF_X2(X_118,X_117),
inference(subst,[],[refute_1_48:[bind(A,$fot(skolemFOFtoCNF_X2(X_118,X_117)))]]) ).
cnf(refute_1_139,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)),
introduced(tautology,[refl,[$fot(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)))]]) ).
cnf(refute_1_140,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) != mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit))
| mult(skolemFOFtoCNF_X2(X_118,X_117),unit) != skolemFOFtoCNF_X2(X_118,X_117)
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)),mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit))) ),[1,1],$fot(skolemFOFtoCNF_X2(X_118,X_117))]]) ).
cnf(refute_1_141,plain,
( mult(skolemFOFtoCNF_X2(X_118,X_117),unit) != skolemFOFtoCNF_X2(X_118,X_117)
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)) ),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)),mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit))) )],[refute_1_139,refute_1_140]) ).
cnf(refute_1_142,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X2(X_118,X_117),unit),skolemFOFtoCNF_X2(X_118,X_117)) )],[refute_1_138,refute_1_141]) ).
cnf(refute_1_143,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) != mult(X_118,skolemFOFtoCNF_X2(X_118,X_117))
| mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)) != X_117
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = X_117 ),
inference(subst,[],[refute_1_89:[bind(X,$fot(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)))),bind(Y,$fot(mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)))),bind(Z,$fot(X_117))]]) ).
cnf(refute_1_144,plain,
( mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)) != X_117
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = X_117 ),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)),mult(X_118,skolemFOFtoCNF_X2(X_118,X_117))) )],[refute_1_142,refute_1_143]) ).
cnf(refute_1_145,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) = X_117,
inference(resolve,[$cnf( $equal(mult(X_118,skolemFOFtoCNF_X2(X_118,X_117)),X_117) )],[refute_1_137,refute_1_144]) ).
cnf(refute_1_146,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) != X_117
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))
| X_117 = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))) ),[0],$fot(X_117)]]) ).
cnf(refute_1_147,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))
| X_117 = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117))) ),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)),X_117) )],[refute_1_145,refute_1_146]) ).
cnf(refute_1_148,plain,
X_117 = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117))),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),unit)),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(skolemFOFtoCNF_X2(X_118,X_117)))) )],[refute_1_136,refute_1_147]) ).
cnf(refute_1_149,plain,
X_120 = mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),
inference(subst,[],[refute_1_148:[bind(X_117,$fot(X_120)),bind(X_118,$fot(X_121))]]) ).
cnf(refute_1_150,plain,
( X_120 != mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))
| mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) = X_120 ),
inference(subst,[],[refute_1_53:[bind(X,$fot(X_120)),bind(Y,$fot(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))))]]) ).
cnf(refute_1_151,plain,
mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) = X_120,
inference(resolve,[$cnf( $equal(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) )],[refute_1_149,refute_1_150]) ).
cnf(refute_1_152,plain,
( mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) != X_120
| skolemFOFtoCNF_X2(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) != i(skolemFOFtoCNF_X2(X_121,X_120))
| skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = i(skolemFOFtoCNF_X2(X_121,X_120)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),i(skolemFOFtoCNF_X2(X_121,X_120))) ),[0,0],$fot(X_120)]]) ).
cnf(refute_1_153,plain,
( skolemFOFtoCNF_X2(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) != i(skolemFOFtoCNF_X2(X_121,X_120))
| skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = i(skolemFOFtoCNF_X2(X_121,X_120)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),X_120) )],[refute_1_151,refute_1_152]) ).
cnf(refute_1_154,plain,
skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = i(skolemFOFtoCNF_X2(X_121,X_120)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),i(skolemFOFtoCNF_X2(X_121,X_120))) )],[refute_1_126,refute_1_153]) ).
cnf(refute_1_155,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))))) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))),
inference(subst,[],[refute_1_131:[bind(X1,$fot(X_117)),bind(X_60,$fot(X_118)),bind(X_62,$fot(i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))))]]) ).
cnf(refute_1_156,plain,
mult(i(X_71),mult(X_71,mult(X_71,i(mult(X_71,X_71))))) = mult(X_71,i(mult(X_71,X_71))),
inference(subst,[],[refute_1_46:[bind(X_61,$fot(X_71)),bind(X_62,$fot(i(mult(X_71,X_71))))]]) ).
cnf(refute_1_157,plain,
mult(mult(X_67,X_67),i(mult(X_67,X_67))) = unit,
inference(subst,[],[refute_1_4:[bind(A,$fot(mult(X_67,X_67)))]]) ).
cnf(refute_1_158,plain,
mult(unit,mult(X_61,mult(X_61,X_62))) = mult(mult(mult(unit,X_61),X_61),X_62),
inference(subst,[],[refute_1_2:[bind(A,$fot(unit)),bind(B,$fot(X_61)),bind(C,$fot(X_62))]]) ).
cnf(refute_1_159,plain,
( mult(unit,X_61) != X_61
| mult(unit,mult(X_61,mult(X_61,X_62))) != mult(mult(mult(unit,X_61),X_61),X_62)
| mult(unit,mult(X_61,mult(X_61,X_62))) = mult(mult(X_61,X_61),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_61,mult(X_61,X_62))),mult(mult(mult(unit,X_61),X_61),X_62)) ),[1,0,0],$fot(X_61)]]) ).
cnf(refute_1_160,plain,
( mult(unit,mult(X_61,mult(X_61,X_62))) != mult(mult(mult(unit,X_61),X_61),X_62)
| mult(unit,mult(X_61,mult(X_61,X_62))) = mult(mult(X_61,X_61),X_62) ),
inference(resolve,[$cnf( $equal(mult(unit,X_61),X_61) )],[refute_1_39,refute_1_159]) ).
cnf(refute_1_161,plain,
mult(unit,mult(X_61,mult(X_61,X_62))) = mult(mult(X_61,X_61),X_62),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_61,mult(X_61,X_62))),mult(mult(mult(unit,X_61),X_61),X_62)) )],[refute_1_158,refute_1_160]) ).
cnf(refute_1_162,plain,
mult(unit,mult(X_61,mult(X_61,X_62))) = mult(X_61,mult(X_61,X_62)),
inference(subst,[],[refute_1_9:[bind(A,$fot(mult(X_61,mult(X_61,X_62))))]]) ).
cnf(refute_1_163,plain,
( mult(unit,mult(X_61,mult(X_61,X_62))) != mult(X_61,mult(X_61,X_62))
| mult(unit,mult(X_61,mult(X_61,X_62))) != mult(mult(X_61,X_61),X_62)
| mult(X_61,mult(X_61,X_62)) = mult(mult(X_61,X_61),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_61,mult(X_61,X_62))),mult(mult(X_61,X_61),X_62)) ),[0],$fot(mult(X_61,mult(X_61,X_62)))]]) ).
cnf(refute_1_164,plain,
( mult(unit,mult(X_61,mult(X_61,X_62))) != mult(mult(X_61,X_61),X_62)
| mult(X_61,mult(X_61,X_62)) = mult(mult(X_61,X_61),X_62) ),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_61,mult(X_61,X_62))),mult(X_61,mult(X_61,X_62))) )],[refute_1_162,refute_1_163]) ).
cnf(refute_1_165,plain,
mult(X_61,mult(X_61,X_62)) = mult(mult(X_61,X_61),X_62),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_61,mult(X_61,X_62))),mult(mult(X_61,X_61),X_62)) )],[refute_1_161,refute_1_164]) ).
cnf(refute_1_166,plain,
mult(X_67,mult(X_67,i(mult(X_67,X_67)))) = mult(mult(X_67,X_67),i(mult(X_67,X_67))),
inference(subst,[],[refute_1_165:[bind(X_61,$fot(X_67)),bind(X_62,$fot(i(mult(X_67,X_67))))]]) ).
cnf(refute_1_167,plain,
( mult(X_67,mult(X_67,i(mult(X_67,X_67)))) != mult(mult(X_67,X_67),i(mult(X_67,X_67)))
| mult(mult(X_67,X_67),i(mult(X_67,X_67))) = mult(X_67,mult(X_67,i(mult(X_67,X_67)))) ),
inference(subst,[],[refute_1_53:[bind(X,$fot(mult(X_67,mult(X_67,i(mult(X_67,X_67)))))),bind(Y,$fot(mult(mult(X_67,X_67),i(mult(X_67,X_67)))))]]) ).
cnf(refute_1_168,plain,
mult(mult(X_67,X_67),i(mult(X_67,X_67))) = mult(X_67,mult(X_67,i(mult(X_67,X_67)))),
inference(resolve,[$cnf( $equal(mult(X_67,mult(X_67,i(mult(X_67,X_67)))),mult(mult(X_67,X_67),i(mult(X_67,X_67)))) )],[refute_1_166,refute_1_167]) ).
cnf(refute_1_169,plain,
( mult(mult(X_67,X_67),i(mult(X_67,X_67))) != mult(X_67,mult(X_67,i(mult(X_67,X_67))))
| mult(mult(X_67,X_67),i(mult(X_67,X_67))) != unit
| mult(X_67,mult(X_67,i(mult(X_67,X_67)))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_67,X_67),i(mult(X_67,X_67))),unit) ),[0],$fot(mult(X_67,mult(X_67,i(mult(X_67,X_67)))))]]) ).
cnf(refute_1_170,plain,
( mult(mult(X_67,X_67),i(mult(X_67,X_67))) != unit
| mult(X_67,mult(X_67,i(mult(X_67,X_67)))) = unit ),
inference(resolve,[$cnf( $equal(mult(mult(X_67,X_67),i(mult(X_67,X_67))),mult(X_67,mult(X_67,i(mult(X_67,X_67))))) )],[refute_1_168,refute_1_169]) ).
cnf(refute_1_171,plain,
mult(X_67,mult(X_67,i(mult(X_67,X_67)))) = unit,
inference(resolve,[$cnf( $equal(mult(mult(X_67,X_67),i(mult(X_67,X_67))),unit) )],[refute_1_157,refute_1_170]) ).
cnf(refute_1_172,plain,
mult(X_71,mult(X_71,i(mult(X_71,X_71)))) = unit,
inference(subst,[],[refute_1_171:[bind(X_67,$fot(X_71))]]) ).
cnf(refute_1_173,plain,
( mult(X_71,mult(X_71,i(mult(X_71,X_71)))) != unit
| mult(i(X_71),mult(X_71,mult(X_71,i(mult(X_71,X_71))))) != mult(X_71,i(mult(X_71,X_71)))
| mult(i(X_71),unit) = mult(X_71,i(mult(X_71,X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_71),mult(X_71,mult(X_71,i(mult(X_71,X_71))))),mult(X_71,i(mult(X_71,X_71)))) ),[0,1],$fot(unit)]]) ).
cnf(refute_1_174,plain,
( mult(i(X_71),mult(X_71,mult(X_71,i(mult(X_71,X_71))))) != mult(X_71,i(mult(X_71,X_71)))
| mult(i(X_71),unit) = mult(X_71,i(mult(X_71,X_71))) ),
inference(resolve,[$cnf( $equal(mult(X_71,mult(X_71,i(mult(X_71,X_71)))),unit) )],[refute_1_172,refute_1_173]) ).
cnf(refute_1_175,plain,
mult(i(X_71),unit) = mult(X_71,i(mult(X_71,X_71))),
inference(resolve,[$cnf( $equal(mult(i(X_71),mult(X_71,mult(X_71,i(mult(X_71,X_71))))),mult(X_71,i(mult(X_71,X_71)))) )],[refute_1_156,refute_1_174]) ).
cnf(refute_1_176,plain,
mult(i(X_71),unit) = i(X_71),
inference(subst,[],[refute_1_48:[bind(A,$fot(i(X_71)))]]) ).
cnf(refute_1_177,plain,
( mult(i(X_71),unit) != i(X_71)
| mult(i(X_71),unit) != mult(X_71,i(mult(X_71,X_71)))
| i(X_71) = mult(X_71,i(mult(X_71,X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_71),unit),mult(X_71,i(mult(X_71,X_71)))) ),[0],$fot(i(X_71))]]) ).
cnf(refute_1_178,plain,
( mult(i(X_71),unit) != mult(X_71,i(mult(X_71,X_71)))
| i(X_71) = mult(X_71,i(mult(X_71,X_71))) ),
inference(resolve,[$cnf( $equal(mult(i(X_71),unit),i(X_71)) )],[refute_1_176,refute_1_177]) ).
cnf(refute_1_179,plain,
i(X_71) = mult(X_71,i(mult(X_71,X_71))),
inference(resolve,[$cnf( $equal(mult(i(X_71),unit),mult(X_71,i(mult(X_71,X_71)))) )],[refute_1_175,refute_1_178]) ).
cnf(refute_1_180,plain,
i(skolemFOFtoCNF_X2(X_118,X_117)) = mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))),
inference(subst,[],[refute_1_179:[bind(X_71,$fot(skolemFOFtoCNF_X2(X_118,X_117)))]]) ).
cnf(refute_1_181,plain,
( i(skolemFOFtoCNF_X2(X_118,X_117)) != mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))
| mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) = i(skolemFOFtoCNF_X2(X_118,X_117)) ),
inference(subst,[],[refute_1_53:[bind(X,$fot(i(skolemFOFtoCNF_X2(X_118,X_117)))),bind(Y,$fot(mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))))]]) ).
cnf(refute_1_182,plain,
mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) = i(skolemFOFtoCNF_X2(X_118,X_117)),
inference(resolve,[$cnf( $equal(i(skolemFOFtoCNF_X2(X_118,X_117)),mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))) )],[refute_1_180,refute_1_181]) ).
cnf(refute_1_183,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))))) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))
| mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) != i(skolemFOFtoCNF_X2(X_118,X_117))
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))))),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))) ),[0,1,1],$fot(i(skolemFOFtoCNF_X2(X_118,X_117)))]]) ).
cnf(refute_1_184,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))))) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))),i(skolemFOFtoCNF_X2(X_118,X_117))) )],[refute_1_182,refute_1_183]) ).
cnf(refute_1_185,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),mult(skolemFOFtoCNF_X2(X_118,X_117),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))))),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))) )],[refute_1_155,refute_1_184]) ).
cnf(refute_1_186,plain,
mult(X_118,unit) = X_118,
inference(subst,[],[refute_1_48:[bind(A,$fot(X_118))]]) ).
cnf(refute_1_187,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))),
introduced(tautology,[refl,[$fot(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))))]]) ).
cnf(refute_1_188,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) != mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))
| mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))) != unit
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = mult(X_118,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))),mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))) ),[1,1],$fot(unit)]]) ).
cnf(refute_1_189,plain,
( mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))) != unit
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = mult(X_118,unit) ),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))),mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))))) )],[refute_1_187,refute_1_188]) ).
cnf(refute_1_190,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = mult(X_118,unit),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117))),unit) )],[refute_1_133,refute_1_189]) ).
cnf(refute_1_191,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) != mult(X_118,unit)
| mult(X_118,unit) != X_118
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = X_118 ),
inference(subst,[],[refute_1_89:[bind(X,$fot(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))))),bind(Y,$fot(mult(X_118,unit))),bind(Z,$fot(X_118))]]) ).
cnf(refute_1_192,plain,
( mult(X_118,unit) != X_118
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = X_118 ),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))),mult(X_118,unit)) )],[refute_1_190,refute_1_191]) ).
cnf(refute_1_193,plain,
mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) = X_118,
inference(resolve,[$cnf( $equal(mult(X_118,unit),X_118) )],[refute_1_186,refute_1_192]) ).
cnf(refute_1_194,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) != X_118
| mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))
| X_118 = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))) ),[0],$fot(X_118)]]) ).
cnf(refute_1_195,plain,
( mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))) != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))
| X_118 = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) ),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))),X_118) )],[refute_1_193,refute_1_194]) ).
cnf(refute_1_196,plain,
X_118 = mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))),
inference(resolve,[$cnf( $equal(mult(X_118,mult(skolemFOFtoCNF_X2(X_118,X_117),i(skolemFOFtoCNF_X2(X_118,X_117)))),mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))) )],[refute_1_185,refute_1_195]) ).
cnf(refute_1_197,plain,
( X_118 != mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))
| mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) = X_118 ),
inference(subst,[],[refute_1_53:[bind(X,$fot(X_118)),bind(Y,$fot(mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))))]]) ).
cnf(refute_1_198,plain,
mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117)))) = X_118,
inference(resolve,[$cnf( $equal(X_118,mult(mult(X_117,skolemFOFtoCNF_X2(X_118,X_117)),i(mult(skolemFOFtoCNF_X2(X_118,X_117),skolemFOFtoCNF_X2(X_118,X_117))))) )],[refute_1_196,refute_1_197]) ).
cnf(refute_1_199,plain,
mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))) = X_121,
inference(subst,[],[refute_1_198:[bind(X_117,$fot(X_120)),bind(X_118,$fot(X_121))]]) ).
cnf(refute_1_200,plain,
i(i(skolemFOFtoCNF_X2(X_83,i(X_83)))) = skolemFOFtoCNF_X2(X_83,i(X_83)),
inference(subst,[],[refute_1_98:[bind(X_64,$fot(skolemFOFtoCNF_X2(X_83,i(X_83))))]]) ).
cnf(refute_1_201,plain,
mult(X_79,mult(i(X_79),i(mult(i(X_79),i(X_79))))) = i(mult(i(X_79),i(X_79))),
inference(subst,[],[refute_1_26:[bind(X1,$fot(i(mult(i(X_79),i(X_79))))),bind(X_76,$fot(X_79))]]) ).
cnf(refute_1_202,plain,
i(i(X_79)) = mult(i(X_79),i(mult(i(X_79),i(X_79)))),
inference(subst,[],[refute_1_179:[bind(X_71,$fot(i(X_79)))]]) ).
cnf(refute_1_203,plain,
( i(i(X_79)) != mult(i(X_79),i(mult(i(X_79),i(X_79))))
| mult(i(X_79),i(mult(i(X_79),i(X_79)))) = i(i(X_79)) ),
inference(subst,[],[refute_1_53:[bind(X,$fot(i(i(X_79)))),bind(Y,$fot(mult(i(X_79),i(mult(i(X_79),i(X_79))))))]]) ).
cnf(refute_1_204,plain,
mult(i(X_79),i(mult(i(X_79),i(X_79)))) = i(i(X_79)),
inference(resolve,[$cnf( $equal(i(i(X_79)),mult(i(X_79),i(mult(i(X_79),i(X_79))))) )],[refute_1_202,refute_1_203]) ).
cnf(refute_1_205,plain,
( mult(X_79,mult(i(X_79),i(mult(i(X_79),i(X_79))))) != i(mult(i(X_79),i(X_79)))
| mult(i(X_79),i(mult(i(X_79),i(X_79)))) != i(i(X_79))
| mult(X_79,i(i(X_79))) = i(mult(i(X_79),i(X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_79,mult(i(X_79),i(mult(i(X_79),i(X_79))))),i(mult(i(X_79),i(X_79)))) ),[0,1],$fot(i(i(X_79)))]]) ).
cnf(refute_1_206,plain,
( mult(X_79,mult(i(X_79),i(mult(i(X_79),i(X_79))))) != i(mult(i(X_79),i(X_79)))
| mult(X_79,i(i(X_79))) = i(mult(i(X_79),i(X_79))) ),
inference(resolve,[$cnf( $equal(mult(i(X_79),i(mult(i(X_79),i(X_79)))),i(i(X_79))) )],[refute_1_204,refute_1_205]) ).
cnf(refute_1_207,plain,
mult(X_79,i(i(X_79))) = i(mult(i(X_79),i(X_79))),
inference(resolve,[$cnf( $equal(mult(X_79,mult(i(X_79),i(mult(i(X_79),i(X_79))))),i(mult(i(X_79),i(X_79)))) )],[refute_1_201,refute_1_206]) ).
cnf(refute_1_208,plain,
i(i(X_79)) = X_79,
inference(subst,[],[refute_1_98:[bind(X_64,$fot(X_79))]]) ).
cnf(refute_1_209,plain,
mult(X_79,i(i(X_79))) = mult(X_79,i(i(X_79))),
introduced(tautology,[refl,[$fot(mult(X_79,i(i(X_79))))]]) ).
cnf(refute_1_210,plain,
( i(i(X_79)) != X_79
| mult(X_79,i(i(X_79))) != mult(X_79,i(i(X_79)))
| mult(X_79,i(i(X_79))) = mult(X_79,X_79) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_79,i(i(X_79))),mult(X_79,i(i(X_79)))) ),[1,1],$fot(X_79)]]) ).
cnf(refute_1_211,plain,
( i(i(X_79)) != X_79
| mult(X_79,i(i(X_79))) = mult(X_79,X_79) ),
inference(resolve,[$cnf( $equal(mult(X_79,i(i(X_79))),mult(X_79,i(i(X_79)))) )],[refute_1_209,refute_1_210]) ).
cnf(refute_1_212,plain,
mult(X_79,i(i(X_79))) = mult(X_79,X_79),
inference(resolve,[$cnf( $equal(i(i(X_79)),X_79) )],[refute_1_208,refute_1_211]) ).
cnf(refute_1_213,plain,
( mult(X_79,i(i(X_79))) != i(mult(i(X_79),i(X_79)))
| mult(X_79,i(i(X_79))) != mult(X_79,X_79)
| mult(X_79,X_79) = i(mult(i(X_79),i(X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_79,i(i(X_79))),i(mult(i(X_79),i(X_79)))) ),[0],$fot(mult(X_79,X_79))]]) ).
cnf(refute_1_214,plain,
( mult(X_79,i(i(X_79))) != i(mult(i(X_79),i(X_79)))
| mult(X_79,X_79) = i(mult(i(X_79),i(X_79))) ),
inference(resolve,[$cnf( $equal(mult(X_79,i(i(X_79))),mult(X_79,X_79)) )],[refute_1_212,refute_1_213]) ).
cnf(refute_1_215,plain,
mult(X_79,X_79) = i(mult(i(X_79),i(X_79))),
inference(resolve,[$cnf( $equal(mult(X_79,i(i(X_79))),i(mult(i(X_79),i(X_79)))) )],[refute_1_207,refute_1_214]) ).
cnf(refute_1_216,plain,
mult(i(X_79),i(X_79)) = skolemFOFtoCNF_X2(X_79,i(X_79)),
inference(subst,[],[refute_1_101:[bind(X_64,$fot(X_79)),bind(X_80,$fot(i(X_79)))]]) ).
cnf(refute_1_217,plain,
i(mult(i(X_79),i(X_79))) = i(mult(i(X_79),i(X_79))),
introduced(tautology,[refl,[$fot(i(mult(i(X_79),i(X_79))))]]) ).
cnf(refute_1_218,plain,
( i(mult(i(X_79),i(X_79))) != i(mult(i(X_79),i(X_79)))
| mult(i(X_79),i(X_79)) != skolemFOFtoCNF_X2(X_79,i(X_79))
| i(mult(i(X_79),i(X_79))) = i(skolemFOFtoCNF_X2(X_79,i(X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(i(mult(i(X_79),i(X_79))),i(mult(i(X_79),i(X_79)))) ),[1,0],$fot(skolemFOFtoCNF_X2(X_79,i(X_79)))]]) ).
cnf(refute_1_219,plain,
( mult(i(X_79),i(X_79)) != skolemFOFtoCNF_X2(X_79,i(X_79))
| i(mult(i(X_79),i(X_79))) = i(skolemFOFtoCNF_X2(X_79,i(X_79))) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_79),i(X_79))),i(mult(i(X_79),i(X_79)))) )],[refute_1_217,refute_1_218]) ).
cnf(refute_1_220,plain,
i(mult(i(X_79),i(X_79))) = i(skolemFOFtoCNF_X2(X_79,i(X_79))),
inference(resolve,[$cnf( $equal(mult(i(X_79),i(X_79)),skolemFOFtoCNF_X2(X_79,i(X_79))) )],[refute_1_216,refute_1_219]) ).
cnf(refute_1_221,plain,
( i(mult(i(X_79),i(X_79))) != i(skolemFOFtoCNF_X2(X_79,i(X_79)))
| mult(X_79,X_79) != i(mult(i(X_79),i(X_79)))
| mult(X_79,X_79) = i(skolemFOFtoCNF_X2(X_79,i(X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_79,X_79),i(mult(i(X_79),i(X_79)))) ),[1],$fot(i(skolemFOFtoCNF_X2(X_79,i(X_79))))]]) ).
cnf(refute_1_222,plain,
( mult(X_79,X_79) != i(mult(i(X_79),i(X_79)))
| mult(X_79,X_79) = i(skolemFOFtoCNF_X2(X_79,i(X_79))) ),
inference(resolve,[$cnf( $equal(i(mult(i(X_79),i(X_79))),i(skolemFOFtoCNF_X2(X_79,i(X_79)))) )],[refute_1_220,refute_1_221]) ).
cnf(refute_1_223,plain,
mult(X_79,X_79) = i(skolemFOFtoCNF_X2(X_79,i(X_79))),
inference(resolve,[$cnf( $equal(mult(X_79,X_79),i(mult(i(X_79),i(X_79)))) )],[refute_1_215,refute_1_222]) ).
cnf(refute_1_224,plain,
mult(X_83,X_83) = i(skolemFOFtoCNF_X2(X_83,i(X_83))),
inference(subst,[],[refute_1_223:[bind(X_79,$fot(X_83))]]) ).
cnf(refute_1_225,plain,
( mult(X_83,X_83) != i(skolemFOFtoCNF_X2(X_83,i(X_83)))
| i(skolemFOFtoCNF_X2(X_83,i(X_83))) = mult(X_83,X_83) ),
inference(subst,[],[refute_1_53:[bind(X,$fot(mult(X_83,X_83))),bind(Y,$fot(i(skolemFOFtoCNF_X2(X_83,i(X_83)))))]]) ).
cnf(refute_1_226,plain,
i(skolemFOFtoCNF_X2(X_83,i(X_83))) = mult(X_83,X_83),
inference(resolve,[$cnf( $equal(mult(X_83,X_83),i(skolemFOFtoCNF_X2(X_83,i(X_83)))) )],[refute_1_224,refute_1_225]) ).
cnf(refute_1_227,plain,
( i(i(skolemFOFtoCNF_X2(X_83,i(X_83)))) != skolemFOFtoCNF_X2(X_83,i(X_83))
| i(skolemFOFtoCNF_X2(X_83,i(X_83))) != mult(X_83,X_83)
| i(mult(X_83,X_83)) = skolemFOFtoCNF_X2(X_83,i(X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(i(i(skolemFOFtoCNF_X2(X_83,i(X_83)))),skolemFOFtoCNF_X2(X_83,i(X_83))) ),[0,0],$fot(mult(X_83,X_83))]]) ).
cnf(refute_1_228,plain,
( i(i(skolemFOFtoCNF_X2(X_83,i(X_83)))) != skolemFOFtoCNF_X2(X_83,i(X_83))
| i(mult(X_83,X_83)) = skolemFOFtoCNF_X2(X_83,i(X_83)) ),
inference(resolve,[$cnf( $equal(i(skolemFOFtoCNF_X2(X_83,i(X_83))),mult(X_83,X_83)) )],[refute_1_226,refute_1_227]) ).
cnf(refute_1_229,plain,
i(mult(X_83,X_83)) = skolemFOFtoCNF_X2(X_83,i(X_83)),
inference(resolve,[$cnf( $equal(i(i(skolemFOFtoCNF_X2(X_83,i(X_83)))),skolemFOFtoCNF_X2(X_83,i(X_83))) )],[refute_1_200,refute_1_228]) ).
cnf(refute_1_230,plain,
( i(mult(X_83,X_83)) != skolemFOFtoCNF_X2(X_83,i(X_83))
| skolemFOFtoCNF_X2(X_83,i(X_83)) = i(mult(X_83,X_83)) ),
inference(subst,[],[refute_1_53:[bind(X,$fot(i(mult(X_83,X_83)))),bind(Y,$fot(skolemFOFtoCNF_X2(X_83,i(X_83))))]]) ).
cnf(refute_1_231,plain,
skolemFOFtoCNF_X2(X_83,i(X_83)) = i(mult(X_83,X_83)),
inference(resolve,[$cnf( $equal(i(mult(X_83,X_83)),skolemFOFtoCNF_X2(X_83,i(X_83))) )],[refute_1_229,refute_1_230]) ).
cnf(refute_1_232,plain,
skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120))) = i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120))),
inference(subst,[],[refute_1_231:[bind(X_83,$fot(skolemFOFtoCNF_X2(X_121,X_120)))]]) ).
cnf(refute_1_233,plain,
mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) = skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120))),
inference(subst,[],[refute_1_101:[bind(X_64,$fot(skolemFOFtoCNF_X2(X_121,X_120))),bind(X_80,$fot(i(skolemFOFtoCNF_X2(X_121,X_120))))]]) ).
cnf(refute_1_234,plain,
( mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) != skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120)))
| skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120))) != i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))
| mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) = i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120))) ),
inference(subst,[],[refute_1_89:[bind(X,$fot(mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),bind(Y,$fot(skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120))))),bind(Z,$fot(i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))))]]) ).
cnf(refute_1_235,plain,
( skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120))) != i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))
| mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) = i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120))) ),
inference(resolve,[$cnf( $equal(mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120)))) )],[refute_1_233,refute_1_234]) ).
cnf(refute_1_236,plain,
mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) = i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_121,X_120),i(skolemFOFtoCNF_X2(X_121,X_120))),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))) )],[refute_1_232,refute_1_235]) ).
cnf(refute_1_237,plain,
mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) = mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))),
introduced(tautology,[refl,[$fot(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))))]]) ).
cnf(refute_1_238,plain,
( mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) != i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))
| mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) != mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))
| mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) = mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) ),[1,1],$fot(i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120))))]]) ).
cnf(refute_1_239,plain,
( mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))) != i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))
| mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) = mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) )],[refute_1_237,refute_1_238]) ).
cnf(refute_1_240,plain,
mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) = mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))),
inference(resolve,[$cnf( $equal(mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))) )],[refute_1_236,refute_1_239]) ).
cnf(refute_1_241,plain,
( mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))) != X_121
| mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) != mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120))))
| mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) = X_121 ),
inference(subst,[],[refute_1_89:[bind(X,$fot(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))))),bind(Y,$fot(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))))),bind(Z,$fot(X_121))]]) ).
cnf(refute_1_242,plain,
( mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))) != X_121
| mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) = X_121 ),
inference(resolve,[$cnf( $equal(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))),mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120))))) )],[refute_1_240,refute_1_241]) ).
cnf(refute_1_243,plain,
mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) = X_121,
inference(resolve,[$cnf( $equal(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),i(mult(skolemFOFtoCNF_X2(X_121,X_120),skolemFOFtoCNF_X2(X_121,X_120)))),X_121) )],[refute_1_199,refute_1_242]) ).
cnf(refute_1_244,plain,
skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))))]]) ).
cnf(refute_1_245,plain,
( mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) != X_121
| skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) != skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))))
| skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = skolemFOFtoCNF_X2(X_120,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))))) ),[1,1],$fot(X_121)]]) ).
cnf(refute_1_246,plain,
( mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))) != X_121
| skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = skolemFOFtoCNF_X2(X_120,X_121) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))))) )],[refute_1_244,refute_1_245]) ).
cnf(refute_1_247,plain,
skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) = skolemFOFtoCNF_X2(X_120,X_121),
inference(resolve,[$cnf( $equal(mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120)))),X_121) )],[refute_1_243,refute_1_246]) ).
cnf(refute_1_248,plain,
( skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) != i(skolemFOFtoCNF_X2(X_121,X_120))
| skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) != skolemFOFtoCNF_X2(X_120,X_121)
| skolemFOFtoCNF_X2(X_120,X_121) = i(skolemFOFtoCNF_X2(X_121,X_120)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),i(skolemFOFtoCNF_X2(X_121,X_120))) ),[0],$fot(skolemFOFtoCNF_X2(X_120,X_121))]]) ).
cnf(refute_1_249,plain,
( skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))) != i(skolemFOFtoCNF_X2(X_121,X_120))
| skolemFOFtoCNF_X2(X_120,X_121) = i(skolemFOFtoCNF_X2(X_121,X_120)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),skolemFOFtoCNF_X2(X_120,X_121)) )],[refute_1_247,refute_1_248]) ).
cnf(refute_1_250,plain,
skolemFOFtoCNF_X2(X_120,X_121) = i(skolemFOFtoCNF_X2(X_121,X_120)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(X_120,mult(mult(X_120,skolemFOFtoCNF_X2(X_121,X_120)),mult(i(skolemFOFtoCNF_X2(X_121,X_120)),i(skolemFOFtoCNF_X2(X_121,X_120))))),i(skolemFOFtoCNF_X2(X_121,X_120))) )],[refute_1_154,refute_1_249]) ).
cnf(refute_1_251,plain,
skolemFOFtoCNF_X2(mult(X_123,X1),X_123) = i(skolemFOFtoCNF_X2(X_123,mult(X_123,X1))),
inference(subst,[],[refute_1_250:[bind(X_120,$fot(mult(X_123,X1))),bind(X_121,$fot(X_123))]]) ).
cnf(refute_1_252,plain,
skolemFOFtoCNF_X2(X_123,mult(X_123,X1)) = X1,
inference(subst,[],[refute_1_118:[bind(X_71,$fot(X_123))]]) ).
cnf(refute_1_253,plain,
( skolemFOFtoCNF_X2(X_123,mult(X_123,X1)) != X1
| skolemFOFtoCNF_X2(mult(X_123,X1),X_123) != i(skolemFOFtoCNF_X2(X_123,mult(X_123,X1)))
| skolemFOFtoCNF_X2(mult(X_123,X1),X_123) = i(X1) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2(mult(X_123,X1),X_123),i(skolemFOFtoCNF_X2(X_123,mult(X_123,X1)))) ),[1,0],$fot(X1)]]) ).
cnf(refute_1_254,plain,
( skolemFOFtoCNF_X2(mult(X_123,X1),X_123) != i(skolemFOFtoCNF_X2(X_123,mult(X_123,X1)))
| skolemFOFtoCNF_X2(mult(X_123,X1),X_123) = i(X1) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(X_123,mult(X_123,X1)),X1) )],[refute_1_252,refute_1_253]) ).
cnf(refute_1_255,plain,
skolemFOFtoCNF_X2(mult(X_123,X1),X_123) = i(X1),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(mult(X_123,X1),X_123),i(skolemFOFtoCNF_X2(X_123,mult(X_123,X1)))) )],[refute_1_251,refute_1_254]) ).
cnf(refute_1_256,plain,
skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4) = i(X_124),
inference(subst,[],[refute_1_255:[bind(X1,$fot(X_124)),bind(X_123,$fot(skolemFOFtoCNF_X4))]]) ).
cnf(refute_1_257,plain,
( i(X_124) != skolemFOFtoCNF_X3
| skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4) != i(X_124)
| skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4) = skolemFOFtoCNF_X3 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4),i(X_124)) ),[1],$fot(skolemFOFtoCNF_X3)]]) ).
cnf(refute_1_258,plain,
( i(X_124) != skolemFOFtoCNF_X3
| skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4) = skolemFOFtoCNF_X3 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4),i(X_124)) )],[refute_1_256,refute_1_257]) ).
cnf(refute_1_259,plain,
i(X_124) != skolemFOFtoCNF_X3,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(mult(skolemFOFtoCNF_X4,X_124),skolemFOFtoCNF_X4),skolemFOFtoCNF_X3) )],[refute_1_258,refute_1_106]) ).
cnf(refute_1_260,plain,
i(i(X_64)) != skolemFOFtoCNF_X3,
inference(subst,[],[refute_1_259:[bind(X_124,$fot(i(X_64)))]]) ).
cnf(refute_1_261,plain,
( X_64 != skolemFOFtoCNF_X3
| i(i(X_64)) != X_64
| i(i(X_64)) = skolemFOFtoCNF_X3 ),
introduced(tautology,[equality,[$cnf( $equal(i(i(X_64)),X_64) ),[1],$fot(skolemFOFtoCNF_X3)]]) ).
cnf(refute_1_262,plain,
( X_64 != skolemFOFtoCNF_X3
| i(i(X_64)) = skolemFOFtoCNF_X3 ),
inference(resolve,[$cnf( $equal(i(i(X_64)),X_64) )],[refute_1_98,refute_1_261]) ).
cnf(refute_1_263,plain,
X_64 != skolemFOFtoCNF_X3,
inference(resolve,[$cnf( $equal(i(i(X_64)),skolemFOFtoCNF_X3) )],[refute_1_262,refute_1_260]) ).
cnf(refute_1_264,plain,
skolemFOFtoCNF_X3 != skolemFOFtoCNF_X3,
inference(subst,[],[refute_1_263:[bind(X_64,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_1_265,plain,
skolemFOFtoCNF_X3 = skolemFOFtoCNF_X3,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X3)]]) ).
cnf(refute_1_266,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) )],[refute_1_265,refute_1_264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : GRP710+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.10 % Command : metis --show proof --show saturation %s
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Mon Jun 13 20:11:42 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.08/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.37/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.56
% 0.37/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.46/0.64
%------------------------------------------------------------------------------