TSTP Solution File: GRP711+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP711+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 10:50:28 EDT 2022
% Result : Theorem 0.92s 1.09s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 67
% Syntax : Number of formulae : 283 ( 159 unt; 0 def)
% Number of atoms : 469 ( 467 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 366 ( 180 ~; 169 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 346 ( 0 sgn 48 !; 6 ?)
% 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,
! [X6,X7,X8] :
( ( mult(X6,X7) = mult(X6,X8)
=> X7 = X8 )
& ( mult(X7,X6) = mult(X8,X6)
=> X7 = X8 ) ) ).
fof(subgoal_0,plain,
! [X6,X7,X8] :
( mult(X6,X7) = mult(X6,X8)
=> X7 = X8 ),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
! [X6,X7,X8] :
( ( ( mult(X6,X7) = mult(X6,X8)
=> X7 = X8 )
& mult(X7,X6) = mult(X8,X6) )
=> X7 = X8 ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X6,X7,X8] :
( mult(X6,X7) = mult(X6,X8)
=> X7 = X8 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[f03]) ).
fof(normalize_0_1,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] : mult(unit,A) = A,
inference(canonicalize,[],[f02]) ).
fof(normalize_0_3,plain,
! [A] : mult(unit,A) = A,
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] : mult(i(A),A) = unit,
inference(canonicalize,[],[f05]) ).
fof(normalize_0_5,plain,
! [A] : mult(i(A),A) = unit,
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] : mult(A,unit) = A,
inference(canonicalize,[],[f01]) ).
fof(normalize_0_7,plain,
! [A] : mult(A,unit) = A,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : mult(A,i(A)) = unit,
inference(canonicalize,[],[f04]) ).
fof(normalize_0_9,plain,
! [A] : mult(A,i(A)) = unit,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
? [X6,X7,X8] :
( X7 != X8
& mult(X6,X7) = mult(X6,X8) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_11,plain,
( skolemFOFtoCNF_X7 != skolemFOFtoCNF_X8
& mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7) = mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8) ),
inference(skolemize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7) = mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
skolemFOFtoCNF_X7 != skolemFOFtoCNF_X8,
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
mult(unit,mult(X_5,mult(X_5,X_6))) = mult(mult(mult(unit,X_5),X_5),X_6),
inference(subst,[],[refute_0_0:[bind(A,$fot(unit)),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
mult(unit,A) = A,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
mult(unit,X_5) = X_5,
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_4,plain,
( mult(unit,X_5) != X_5
| mult(unit,mult(X_5,mult(X_5,X_6))) != mult(mult(mult(unit,X_5),X_5),X_6)
| mult(unit,mult(X_5,mult(X_5,X_6))) = mult(mult(X_5,X_5),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_5,mult(X_5,X_6))),mult(mult(mult(unit,X_5),X_5),X_6)) ),[1,0,0],$fot(X_5)]]) ).
cnf(refute_0_5,plain,
( mult(unit,mult(X_5,mult(X_5,X_6))) != mult(mult(mult(unit,X_5),X_5),X_6)
| mult(unit,mult(X_5,mult(X_5,X_6))) = mult(mult(X_5,X_5),X_6) ),
inference(resolve,[$cnf( $equal(mult(unit,X_5),X_5) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
mult(unit,mult(X_5,mult(X_5,X_6))) = mult(mult(X_5,X_5),X_6),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_5,mult(X_5,X_6))),mult(mult(mult(unit,X_5),X_5),X_6)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
mult(unit,mult(X_5,mult(X_5,X_6))) = mult(X_5,mult(X_5,X_6)),
inference(subst,[],[refute_0_2:[bind(A,$fot(mult(X_5,mult(X_5,X_6))))]]) ).
cnf(refute_0_8,plain,
( mult(unit,mult(X_5,mult(X_5,X_6))) != mult(X_5,mult(X_5,X_6))
| mult(unit,mult(X_5,mult(X_5,X_6))) != mult(mult(X_5,X_5),X_6)
| mult(X_5,mult(X_5,X_6)) = mult(mult(X_5,X_5),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(unit,mult(X_5,mult(X_5,X_6))),mult(mult(X_5,X_5),X_6)) ),[0],$fot(mult(X_5,mult(X_5,X_6)))]]) ).
cnf(refute_0_9,plain,
( mult(unit,mult(X_5,mult(X_5,X_6))) != mult(mult(X_5,X_5),X_6)
| mult(X_5,mult(X_5,X_6)) = mult(mult(X_5,X_5),X_6) ),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_5,mult(X_5,X_6))),mult(X_5,mult(X_5,X_6))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
mult(X_5,mult(X_5,X_6)) = mult(mult(X_5,X_5),X_6),
inference(resolve,[$cnf( $equal(mult(unit,mult(X_5,mult(X_5,X_6))),mult(mult(X_5,X_5),X_6)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
mult(i(X_29),mult(i(X_29),X_6)) = mult(mult(i(X_29),i(X_29)),X_6),
inference(subst,[],[refute_0_10:[bind(X_5,$fot(i(X_29)))]]) ).
cnf(refute_0_12,plain,
mult(i(X_5),mult(X_5,mult(X_5,X_6))) = mult(mult(mult(i(X_5),X_5),X_5),X_6),
inference(subst,[],[refute_0_0:[bind(A,$fot(i(X_5))),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_13,plain,
mult(i(A),A) = unit,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_14,plain,
mult(i(X_5),X_5) = unit,
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_15,plain,
( mult(i(X_5),X_5) != unit
| mult(i(X_5),mult(X_5,mult(X_5,X_6))) != mult(mult(mult(i(X_5),X_5),X_5),X_6)
| mult(i(X_5),mult(X_5,mult(X_5,X_6))) = mult(mult(unit,X_5),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_5),mult(X_5,mult(X_5,X_6))),mult(mult(mult(i(X_5),X_5),X_5),X_6)) ),[1,0,0],$fot(unit)]]) ).
cnf(refute_0_16,plain,
( mult(i(X_5),mult(X_5,mult(X_5,X_6))) != mult(mult(mult(i(X_5),X_5),X_5),X_6)
| mult(i(X_5),mult(X_5,mult(X_5,X_6))) = mult(mult(unit,X_5),X_6) ),
inference(resolve,[$cnf( $equal(mult(i(X_5),X_5),unit) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
mult(i(X_5),mult(X_5,mult(X_5,X_6))) = mult(mult(unit,X_5),X_6),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(X_5,mult(X_5,X_6))),mult(mult(mult(i(X_5),X_5),X_5),X_6)) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
mult(mult(unit,X_5),X_6) = mult(mult(unit,X_5),X_6),
introduced(tautology,[refl,[$fot(mult(mult(unit,X_5),X_6))]]) ).
cnf(refute_0_19,plain,
( mult(mult(unit,X_5),X_6) != mult(mult(unit,X_5),X_6)
| mult(unit,X_5) != X_5
| mult(mult(unit,X_5),X_6) = mult(X_5,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(unit,X_5),X_6),mult(mult(unit,X_5),X_6)) ),[1,0],$fot(X_5)]]) ).
cnf(refute_0_20,plain,
( mult(unit,X_5) != X_5
| mult(mult(unit,X_5),X_6) = mult(X_5,X_6) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,X_5),X_6),mult(mult(unit,X_5),X_6)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
mult(mult(unit,X_5),X_6) = mult(X_5,X_6),
inference(resolve,[$cnf( $equal(mult(unit,X_5),X_5) )],[refute_0_3,refute_0_20]) ).
cnf(refute_0_22,plain,
( mult(i(X_5),mult(X_5,mult(X_5,X_6))) != mult(mult(unit,X_5),X_6)
| mult(mult(unit,X_5),X_6) != mult(X_5,X_6)
| mult(i(X_5),mult(X_5,mult(X_5,X_6))) = mult(X_5,X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(X_5),mult(X_5,mult(X_5,X_6))),mult(X_5,X_6)) ),[0],$fot(mult(mult(unit,X_5),X_6))]]) ).
cnf(refute_0_23,plain,
( mult(i(X_5),mult(X_5,mult(X_5,X_6))) != mult(mult(unit,X_5),X_6)
| mult(i(X_5),mult(X_5,mult(X_5,X_6))) = mult(X_5,X_6) ),
inference(resolve,[$cnf( $equal(mult(mult(unit,X_5),X_6),mult(X_5,X_6)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
mult(i(X_5),mult(X_5,mult(X_5,X_6))) = mult(X_5,X_6),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(X_5,mult(X_5,X_6))),mult(mult(unit,X_5),X_6)) )],[refute_0_17,refute_0_23]) ).
cnf(refute_0_25,plain,
mult(i(X_5),mult(X_5,mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))))) = mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))),
inference(subst,[],[refute_0_24:[bind(X_6,$fot(mult(i(X_5),i(mult(X_5,X_5)))))]]) ).
cnf(refute_0_26,plain,
mult(A,unit) = A,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_27,plain,
mult(mult(mult(X_4,X_5),X_5),unit) = mult(mult(X_4,X_5),X_5),
inference(subst,[],[refute_0_26:[bind(A,$fot(mult(mult(X_4,X_5),X_5)))]]) ).
cnf(refute_0_28,plain,
mult(X_4,mult(X_5,mult(X_5,unit))) = mult(mult(mult(X_4,X_5),X_5),unit),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_4)),bind(B,$fot(X_5)),bind(C,$fot(unit))]]) ).
cnf(refute_0_29,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_30,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_31,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( mult(X_4,mult(X_5,mult(X_5,unit))) != mult(mult(mult(X_4,X_5),X_5),unit)
| mult(mult(mult(X_4,X_5),X_5),unit) = mult(X_4,mult(X_5,mult(X_5,unit))) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(mult(X_4,mult(X_5,mult(X_5,unit))))),bind(Y,$fot(mult(mult(mult(X_4,X_5),X_5),unit)))]]) ).
cnf(refute_0_33,plain,
mult(mult(mult(X_4,X_5),X_5),unit) = mult(X_4,mult(X_5,mult(X_5,unit))),
inference(resolve,[$cnf( $equal(mult(X_4,mult(X_5,mult(X_5,unit))),mult(mult(mult(X_4,X_5),X_5),unit)) )],[refute_0_28,refute_0_32]) ).
cnf(refute_0_34,plain,
( mult(mult(mult(X_4,X_5),X_5),unit) != mult(X_4,mult(X_5,mult(X_5,unit)))
| mult(mult(mult(X_4,X_5),X_5),unit) != mult(mult(X_4,X_5),X_5)
| mult(X_4,mult(X_5,mult(X_5,unit))) = mult(mult(X_4,X_5),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_4,X_5),X_5),unit),mult(mult(X_4,X_5),X_5)) ),[0],$fot(mult(X_4,mult(X_5,mult(X_5,unit))))]]) ).
cnf(refute_0_35,plain,
( mult(mult(mult(X_4,X_5),X_5),unit) != mult(mult(X_4,X_5),X_5)
| mult(X_4,mult(X_5,mult(X_5,unit))) = mult(mult(X_4,X_5),X_5) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_4,X_5),X_5),unit),mult(X_4,mult(X_5,mult(X_5,unit)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
mult(X_4,mult(X_5,mult(X_5,unit))) = mult(mult(X_4,X_5),X_5),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_4,X_5),X_5),unit),mult(mult(X_4,X_5),X_5)) )],[refute_0_27,refute_0_35]) ).
cnf(refute_0_37,plain,
mult(X_5,unit) = X_5,
inference(subst,[],[refute_0_26:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_38,plain,
mult(X_5,mult(X_5,unit)) = mult(X_5,mult(X_5,unit)),
introduced(tautology,[refl,[$fot(mult(X_5,mult(X_5,unit)))]]) ).
cnf(refute_0_39,plain,
( mult(X_5,mult(X_5,unit)) != mult(X_5,mult(X_5,unit))
| mult(X_5,unit) != X_5
| mult(X_5,mult(X_5,unit)) = mult(X_5,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_5,mult(X_5,unit)),mult(X_5,mult(X_5,unit))) ),[1,1],$fot(X_5)]]) ).
cnf(refute_0_40,plain,
( mult(X_5,unit) != X_5
| mult(X_5,mult(X_5,unit)) = mult(X_5,X_5) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_5,unit)),mult(X_5,mult(X_5,unit))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
mult(X_5,mult(X_5,unit)) = mult(X_5,X_5),
inference(resolve,[$cnf( $equal(mult(X_5,unit),X_5) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
mult(X_4,mult(X_5,mult(X_5,unit))) = mult(X_4,mult(X_5,mult(X_5,unit))),
introduced(tautology,[refl,[$fot(mult(X_4,mult(X_5,mult(X_5,unit))))]]) ).
cnf(refute_0_43,plain,
( mult(X_4,mult(X_5,mult(X_5,unit))) != mult(X_4,mult(X_5,mult(X_5,unit)))
| mult(X_5,mult(X_5,unit)) != mult(X_5,X_5)
| mult(X_4,mult(X_5,mult(X_5,unit))) = mult(X_4,mult(X_5,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_4,mult(X_5,mult(X_5,unit))),mult(X_4,mult(X_5,mult(X_5,unit)))) ),[1,1],$fot(mult(X_5,X_5))]]) ).
cnf(refute_0_44,plain,
( mult(X_5,mult(X_5,unit)) != mult(X_5,X_5)
| mult(X_4,mult(X_5,mult(X_5,unit))) = mult(X_4,mult(X_5,X_5)) ),
inference(resolve,[$cnf( $equal(mult(X_4,mult(X_5,mult(X_5,unit))),mult(X_4,mult(X_5,mult(X_5,unit)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
mult(X_4,mult(X_5,mult(X_5,unit))) = mult(X_4,mult(X_5,X_5)),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_5,unit)),mult(X_5,X_5)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( mult(X_4,mult(X_5,mult(X_5,unit))) != mult(X_4,mult(X_5,X_5))
| mult(X_4,mult(X_5,mult(X_5,unit))) != mult(mult(X_4,X_5),X_5)
| mult(X_4,mult(X_5,X_5)) = mult(mult(X_4,X_5),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_4,mult(X_5,mult(X_5,unit))),mult(mult(X_4,X_5),X_5)) ),[0],$fot(mult(X_4,mult(X_5,X_5)))]]) ).
cnf(refute_0_47,plain,
( mult(X_4,mult(X_5,mult(X_5,unit))) != mult(mult(X_4,X_5),X_5)
| mult(X_4,mult(X_5,X_5)) = mult(mult(X_4,X_5),X_5) ),
inference(resolve,[$cnf( $equal(mult(X_4,mult(X_5,mult(X_5,unit))),mult(X_4,mult(X_5,X_5))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
mult(X_4,mult(X_5,X_5)) = mult(mult(X_4,X_5),X_5),
inference(resolve,[$cnf( $equal(mult(X_4,mult(X_5,mult(X_5,unit))),mult(mult(X_4,X_5),X_5)) )],[refute_0_36,refute_0_47]) ).
cnf(refute_0_49,plain,
mult(X_7,mult(i(X_7),i(X_7))) = mult(mult(X_7,i(X_7)),i(X_7)),
inference(subst,[],[refute_0_48:[bind(X_4,$fot(X_7)),bind(X_5,$fot(i(X_7)))]]) ).
cnf(refute_0_50,plain,
mult(A,i(A)) = unit,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_51,plain,
mult(X_7,i(X_7)) = unit,
inference(subst,[],[refute_0_50:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_52,plain,
( mult(X_7,i(X_7)) != unit
| mult(X_7,mult(i(X_7),i(X_7))) != mult(mult(X_7,i(X_7)),i(X_7))
| mult(X_7,mult(i(X_7),i(X_7))) = mult(unit,i(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_7,mult(i(X_7),i(X_7))),mult(mult(X_7,i(X_7)),i(X_7))) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_53,plain,
( mult(X_7,mult(i(X_7),i(X_7))) != mult(mult(X_7,i(X_7)),i(X_7))
| mult(X_7,mult(i(X_7),i(X_7))) = mult(unit,i(X_7)) ),
inference(resolve,[$cnf( $equal(mult(X_7,i(X_7)),unit) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
mult(X_7,mult(i(X_7),i(X_7))) = mult(unit,i(X_7)),
inference(resolve,[$cnf( $equal(mult(X_7,mult(i(X_7),i(X_7))),mult(mult(X_7,i(X_7)),i(X_7))) )],[refute_0_49,refute_0_53]) ).
cnf(refute_0_55,plain,
mult(unit,i(X_7)) = i(X_7),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(X_7)))]]) ).
cnf(refute_0_56,plain,
( mult(X_7,mult(i(X_7),i(X_7))) != mult(unit,i(X_7))
| mult(unit,i(X_7)) != i(X_7)
| mult(X_7,mult(i(X_7),i(X_7))) = i(X_7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_7,mult(i(X_7),i(X_7))),i(X_7)) ),[0],$fot(mult(unit,i(X_7)))]]) ).
cnf(refute_0_57,plain,
( mult(X_7,mult(i(X_7),i(X_7))) != mult(unit,i(X_7))
| mult(X_7,mult(i(X_7),i(X_7))) = i(X_7) ),
inference(resolve,[$cnf( $equal(mult(unit,i(X_7)),i(X_7)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
mult(X_7,mult(i(X_7),i(X_7))) = i(X_7),
inference(resolve,[$cnf( $equal(mult(X_7,mult(i(X_7),i(X_7))),mult(unit,i(X_7))) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) = i(mult(X_14,X_14)),
inference(subst,[],[refute_0_58:[bind(X_7,$fot(mult(X_14,X_14)))]]) ).
cnf(refute_0_60,plain,
mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))),
inference(subst,[],[refute_0_10:[bind(X_5,$fot(X_14)),bind(X_6,$fot(mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))))]]) ).
cnf(refute_0_61,plain,
( mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) != mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))
| mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) = mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))))),bind(Y,$fot(mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))))]]) ).
cnf(refute_0_62,plain,
mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) = mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),
inference(resolve,[$cnf( $equal(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) != i(mult(X_14,X_14))
| mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) != mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))))
| mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = i(mult(X_14,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))),i(mult(X_14,X_14))) ),[0],$fot(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))))]]) ).
cnf(refute_0_64,plain,
( mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) != i(mult(X_14,X_14))
| mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = i(mult(X_14,X_14)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))),mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = i(mult(X_14,X_14)),
inference(resolve,[$cnf( $equal(mult(mult(X_14,X_14),mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))),i(mult(X_14,X_14))) )],[refute_0_59,refute_0_64]) ).
cnf(refute_0_66,plain,
mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))) = mult(mult(X_4,i(mult(X_4,X_4))),i(mult(X_4,X_4))),
inference(subst,[],[refute_0_48:[bind(X_5,$fot(i(mult(X_4,X_4))))]]) ).
cnf(refute_0_67,plain,
mult(i(X_5),mult(X_5,mult(X_5,i(mult(X_5,X_5))))) = mult(X_5,i(mult(X_5,X_5))),
inference(subst,[],[refute_0_24:[bind(X_6,$fot(i(mult(X_5,X_5))))]]) ).
cnf(refute_0_68,plain,
mult(mult(X_14,X_14),i(mult(X_14,X_14))) = unit,
inference(subst,[],[refute_0_50:[bind(A,$fot(mult(X_14,X_14)))]]) ).
cnf(refute_0_69,plain,
mult(X_14,mult(X_14,i(mult(X_14,X_14)))) = mult(mult(X_14,X_14),i(mult(X_14,X_14))),
inference(subst,[],[refute_0_10:[bind(X_5,$fot(X_14)),bind(X_6,$fot(i(mult(X_14,X_14))))]]) ).
cnf(refute_0_70,plain,
( mult(X_14,mult(X_14,i(mult(X_14,X_14)))) != mult(mult(X_14,X_14),i(mult(X_14,X_14)))
| mult(mult(X_14,X_14),i(mult(X_14,X_14))) = mult(X_14,mult(X_14,i(mult(X_14,X_14)))) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(mult(X_14,mult(X_14,i(mult(X_14,X_14)))))),bind(Y,$fot(mult(mult(X_14,X_14),i(mult(X_14,X_14)))))]]) ).
cnf(refute_0_71,plain,
mult(mult(X_14,X_14),i(mult(X_14,X_14))) = mult(X_14,mult(X_14,i(mult(X_14,X_14)))),
inference(resolve,[$cnf( $equal(mult(X_14,mult(X_14,i(mult(X_14,X_14)))),mult(mult(X_14,X_14),i(mult(X_14,X_14)))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( mult(mult(X_14,X_14),i(mult(X_14,X_14))) != mult(X_14,mult(X_14,i(mult(X_14,X_14))))
| mult(mult(X_14,X_14),i(mult(X_14,X_14))) != unit
| mult(X_14,mult(X_14,i(mult(X_14,X_14)))) = unit ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_14,X_14),i(mult(X_14,X_14))),unit) ),[0],$fot(mult(X_14,mult(X_14,i(mult(X_14,X_14)))))]]) ).
cnf(refute_0_73,plain,
( mult(mult(X_14,X_14),i(mult(X_14,X_14))) != unit
| mult(X_14,mult(X_14,i(mult(X_14,X_14)))) = unit ),
inference(resolve,[$cnf( $equal(mult(mult(X_14,X_14),i(mult(X_14,X_14))),mult(X_14,mult(X_14,i(mult(X_14,X_14))))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
mult(X_14,mult(X_14,i(mult(X_14,X_14)))) = unit,
inference(resolve,[$cnf( $equal(mult(mult(X_14,X_14),i(mult(X_14,X_14))),unit) )],[refute_0_68,refute_0_73]) ).
cnf(refute_0_75,plain,
mult(X_5,mult(X_5,i(mult(X_5,X_5)))) = unit,
inference(subst,[],[refute_0_74:[bind(X_14,$fot(X_5))]]) ).
cnf(refute_0_76,plain,
( mult(X_5,mult(X_5,i(mult(X_5,X_5)))) != unit
| mult(i(X_5),mult(X_5,mult(X_5,i(mult(X_5,X_5))))) != mult(X_5,i(mult(X_5,X_5)))
| mult(i(X_5),unit) = mult(X_5,i(mult(X_5,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_5),mult(X_5,mult(X_5,i(mult(X_5,X_5))))),mult(X_5,i(mult(X_5,X_5)))) ),[0,1],$fot(unit)]]) ).
cnf(refute_0_77,plain,
( mult(i(X_5),mult(X_5,mult(X_5,i(mult(X_5,X_5))))) != mult(X_5,i(mult(X_5,X_5)))
| mult(i(X_5),unit) = mult(X_5,i(mult(X_5,X_5))) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(X_5,i(mult(X_5,X_5)))),unit) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
mult(i(X_5),unit) = mult(X_5,i(mult(X_5,X_5))),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(X_5,mult(X_5,i(mult(X_5,X_5))))),mult(X_5,i(mult(X_5,X_5)))) )],[refute_0_67,refute_0_77]) ).
cnf(refute_0_79,plain,
mult(i(X_5),unit) = i(X_5),
inference(subst,[],[refute_0_26:[bind(A,$fot(i(X_5)))]]) ).
cnf(refute_0_80,plain,
( mult(i(X_5),unit) != i(X_5)
| mult(i(X_5),unit) != mult(X_5,i(mult(X_5,X_5)))
| i(X_5) = mult(X_5,i(mult(X_5,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_5),unit),mult(X_5,i(mult(X_5,X_5)))) ),[0],$fot(i(X_5))]]) ).
cnf(refute_0_81,plain,
( mult(i(X_5),unit) != mult(X_5,i(mult(X_5,X_5)))
| i(X_5) = mult(X_5,i(mult(X_5,X_5))) ),
inference(resolve,[$cnf( $equal(mult(i(X_5),unit),i(X_5)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
i(X_5) = mult(X_5,i(mult(X_5,X_5))),
inference(resolve,[$cnf( $equal(mult(i(X_5),unit),mult(X_5,i(mult(X_5,X_5)))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
i(X_4) = mult(X_4,i(mult(X_4,X_4))),
inference(subst,[],[refute_0_82:[bind(X_5,$fot(X_4))]]) ).
cnf(refute_0_84,plain,
( i(X_4) != mult(X_4,i(mult(X_4,X_4)))
| mult(X_4,i(mult(X_4,X_4))) = i(X_4) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(i(X_4))),bind(Y,$fot(mult(X_4,i(mult(X_4,X_4)))))]]) ).
cnf(refute_0_85,plain,
mult(X_4,i(mult(X_4,X_4))) = i(X_4),
inference(resolve,[$cnf( $equal(i(X_4),mult(X_4,i(mult(X_4,X_4)))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( mult(X_4,i(mult(X_4,X_4))) != i(X_4)
| mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))) != mult(mult(X_4,i(mult(X_4,X_4))),i(mult(X_4,X_4)))
| mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))) = mult(i(X_4),i(mult(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))),mult(mult(X_4,i(mult(X_4,X_4))),i(mult(X_4,X_4)))) ),[1,0],$fot(i(X_4))]]) ).
cnf(refute_0_87,plain,
( mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))) != mult(mult(X_4,i(mult(X_4,X_4))),i(mult(X_4,X_4)))
| mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))) = mult(i(X_4),i(mult(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(mult(X_4,i(mult(X_4,X_4))),i(X_4)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))) = mult(i(X_4),i(mult(X_4,X_4))),
inference(resolve,[$cnf( $equal(mult(X_4,mult(i(mult(X_4,X_4)),i(mult(X_4,X_4)))),mult(mult(X_4,i(mult(X_4,X_4))),i(mult(X_4,X_4)))) )],[refute_0_66,refute_0_87]) ).
cnf(refute_0_89,plain,
mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) = mult(i(X_14),i(mult(X_14,X_14))),
inference(subst,[],[refute_0_88:[bind(X_4,$fot(X_14))]]) ).
cnf(refute_0_90,plain,
mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),
introduced(tautology,[refl,[$fot(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))))]]) ).
cnf(refute_0_91,plain,
( mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) != mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))))
| mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) != mult(i(X_14),i(mult(X_14,X_14)))
| mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = mult(X_14,mult(i(X_14),i(mult(X_14,X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))))) ),[1,1],$fot(mult(i(X_14),i(mult(X_14,X_14))))]]) ).
cnf(refute_0_92,plain,
( mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))) != mult(i(X_14),i(mult(X_14,X_14)))
| mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = mult(X_14,mult(i(X_14),i(mult(X_14,X_14)))) ),
inference(resolve,[$cnf( $equal(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) = mult(X_14,mult(i(X_14),i(mult(X_14,X_14)))),
inference(resolve,[$cnf( $equal(mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14)))),mult(i(X_14),i(mult(X_14,X_14)))) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
( mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) != i(mult(X_14,X_14))
| mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) != mult(X_14,mult(i(X_14),i(mult(X_14,X_14))))
| mult(X_14,mult(i(X_14),i(mult(X_14,X_14)))) = i(mult(X_14,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),i(mult(X_14,X_14))) ),[0],$fot(mult(X_14,mult(i(X_14),i(mult(X_14,X_14)))))]]) ).
cnf(refute_0_95,plain,
( mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))) != i(mult(X_14,X_14))
| mult(X_14,mult(i(X_14),i(mult(X_14,X_14)))) = i(mult(X_14,X_14)) ),
inference(resolve,[$cnf( $equal(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),mult(X_14,mult(i(X_14),i(mult(X_14,X_14))))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
mult(X_14,mult(i(X_14),i(mult(X_14,X_14)))) = i(mult(X_14,X_14)),
inference(resolve,[$cnf( $equal(mult(X_14,mult(X_14,mult(i(mult(X_14,X_14)),i(mult(X_14,X_14))))),i(mult(X_14,X_14))) )],[refute_0_65,refute_0_95]) ).
cnf(refute_0_97,plain,
mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))) = i(mult(X_5,X_5)),
inference(subst,[],[refute_0_96:[bind(X_14,$fot(X_5))]]) ).
cnf(refute_0_98,plain,
( mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))) != i(mult(X_5,X_5))
| mult(i(X_5),mult(X_5,mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))))) != mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))
| mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) = mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_5),mult(X_5,mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))))),mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))) ),[0,1,1],$fot(i(mult(X_5,X_5)))]]) ).
cnf(refute_0_99,plain,
( mult(i(X_5),mult(X_5,mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))))) != mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))
| mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) = mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))),i(mult(X_5,X_5))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) = mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(X_5,mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))))),mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))) )],[refute_0_25,refute_0_99]) ).
cnf(refute_0_101,plain,
( i(X_5) != mult(X_5,i(mult(X_5,X_5)))
| mult(X_5,i(mult(X_5,X_5))) = i(X_5) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(i(X_5))),bind(Y,$fot(mult(X_5,i(mult(X_5,X_5)))))]]) ).
cnf(refute_0_102,plain,
mult(X_5,i(mult(X_5,X_5))) = i(X_5),
inference(resolve,[$cnf( $equal(i(X_5),mult(X_5,i(mult(X_5,X_5)))) )],[refute_0_82,refute_0_101]) ).
cnf(refute_0_103,plain,
mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) = mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))),
introduced(tautology,[refl,[$fot(mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))))]]) ).
cnf(refute_0_104,plain,
( mult(X_5,i(mult(X_5,X_5))) != i(X_5)
| mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) != mult(i(X_5),mult(X_5,i(mult(X_5,X_5))))
| mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) = mult(i(X_5),i(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))),mult(i(X_5),mult(X_5,i(mult(X_5,X_5))))) ),[1,1],$fot(i(X_5))]]) ).
cnf(refute_0_105,plain,
( mult(X_5,i(mult(X_5,X_5))) != i(X_5)
| mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) = mult(i(X_5),i(X_5)) ),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))),mult(i(X_5),mult(X_5,i(mult(X_5,X_5))))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) = mult(i(X_5),i(X_5)),
inference(resolve,[$cnf( $equal(mult(X_5,i(mult(X_5,X_5))),i(X_5)) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
( mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) != mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))
| mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) != mult(i(X_5),i(X_5))
| mult(i(X_5),i(X_5)) = mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))),mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))) ),[0],$fot(mult(i(X_5),i(X_5)))]]) ).
cnf(refute_0_108,plain,
( mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) != mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))
| mult(i(X_5),i(X_5)) = mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))) ),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))),mult(i(X_5),i(X_5))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))) != i(mult(X_5,X_5))
| mult(i(X_5),i(X_5)) != mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))
| mult(i(X_5),i(X_5)) = i(mult(X_5,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_5),i(X_5)),mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))) ),[1],$fot(i(mult(X_5,X_5)))]]) ).
cnf(refute_0_110,plain,
( mult(i(X_5),i(X_5)) != mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))
| mult(i(X_5),i(X_5)) = i(mult(X_5,X_5)) ),
inference(resolve,[$cnf( $equal(mult(X_5,mult(i(X_5),i(mult(X_5,X_5)))),i(mult(X_5,X_5))) )],[refute_0_97,refute_0_109]) ).
cnf(refute_0_111,plain,
( mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))) != mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))
| mult(i(X_5),i(X_5)) = i(mult(X_5,X_5)) ),
inference(resolve,[$cnf( $equal(mult(i(X_5),i(X_5)),mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))) )],[refute_0_108,refute_0_110]) ).
cnf(refute_0_112,plain,
mult(i(X_5),i(X_5)) = i(mult(X_5,X_5)),
inference(resolve,[$cnf( $equal(mult(i(X_5),mult(X_5,i(mult(X_5,X_5)))),mult(X_5,mult(i(X_5),i(mult(X_5,X_5))))) )],[refute_0_100,refute_0_111]) ).
cnf(refute_0_113,plain,
mult(i(X_29),i(X_29)) = i(mult(X_29,X_29)),
inference(subst,[],[refute_0_112:[bind(X_5,$fot(X_29))]]) ).
cnf(refute_0_114,plain,
( mult(i(X_29),i(X_29)) != i(mult(X_29,X_29))
| mult(i(X_29),mult(i(X_29),X_6)) != mult(mult(i(X_29),i(X_29)),X_6)
| mult(i(X_29),mult(i(X_29),X_6)) = mult(i(mult(X_29,X_29)),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_29),mult(i(X_29),X_6)),mult(mult(i(X_29),i(X_29)),X_6)) ),[1,0],$fot(i(mult(X_29,X_29)))]]) ).
cnf(refute_0_115,plain,
( mult(i(X_29),mult(i(X_29),X_6)) != mult(mult(i(X_29),i(X_29)),X_6)
| mult(i(X_29),mult(i(X_29),X_6)) = mult(i(mult(X_29,X_29)),X_6) ),
inference(resolve,[$cnf( $equal(mult(i(X_29),i(X_29)),i(mult(X_29,X_29))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
mult(i(X_29),mult(i(X_29),X_6)) = mult(i(mult(X_29,X_29)),X_6),
inference(resolve,[$cnf( $equal(mult(i(X_29),mult(i(X_29),X_6)),mult(mult(i(X_29),i(X_29)),X_6)) )],[refute_0_11,refute_0_115]) ).
cnf(refute_0_117,plain,
mult(i(X_50),mult(i(X_50),mult(X_50,mult(X_50,X_6)))) = mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))),
inference(subst,[],[refute_0_116:[bind(X_29,$fot(X_50)),bind(X_6,$fot(mult(X_50,mult(X_50,X_6))))]]) ).
cnf(refute_0_118,plain,
mult(i(X_50),mult(X_50,mult(X_50,X_6))) = mult(X_50,X_6),
inference(subst,[],[refute_0_24:[bind(X_5,$fot(X_50))]]) ).
cnf(refute_0_119,plain,
( mult(i(X_50),mult(X_50,mult(X_50,X_6))) != mult(X_50,X_6)
| mult(i(X_50),mult(i(X_50),mult(X_50,mult(X_50,X_6)))) != mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6)))
| mult(i(X_50),mult(X_50,X_6)) = mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(X_50),mult(i(X_50),mult(X_50,mult(X_50,X_6)))),mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6)))) ),[0,1],$fot(mult(X_50,X_6))]]) ).
cnf(refute_0_120,plain,
( mult(i(X_50),mult(i(X_50),mult(X_50,mult(X_50,X_6)))) != mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6)))
| mult(i(X_50),mult(X_50,X_6)) = mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))) ),
inference(resolve,[$cnf( $equal(mult(i(X_50),mult(X_50,mult(X_50,X_6))),mult(X_50,X_6)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
mult(i(X_50),mult(X_50,X_6)) = mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))),
inference(resolve,[$cnf( $equal(mult(i(X_50),mult(i(X_50),mult(X_50,mult(X_50,X_6)))),mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6)))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( mult(X_4,mult(X_5,X_5)) != mult(mult(X_4,X_5),X_5)
| mult(mult(X_4,X_5),X_5) = mult(X_4,mult(X_5,X_5)) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(mult(X_4,mult(X_5,X_5)))),bind(Y,$fot(mult(mult(X_4,X_5),X_5)))]]) ).
cnf(refute_0_123,plain,
mult(mult(X_4,X_5),X_5) = mult(X_4,mult(X_5,X_5)),
inference(resolve,[$cnf( $equal(mult(X_4,mult(X_5,X_5)),mult(mult(X_4,X_5),X_5)) )],[refute_0_48,refute_0_122]) ).
cnf(refute_0_124,plain,
mult(mult(A,B),B) = mult(A,mult(B,B)),
inference(subst,[],[refute_0_123:[bind(X_4,$fot(A)),bind(X_5,$fot(B))]]) ).
cnf(refute_0_125,plain,
mult(mult(mult(A,B),B),C) = mult(mult(mult(A,B),B),C),
introduced(tautology,[refl,[$fot(mult(mult(mult(A,B),B),C))]]) ).
cnf(refute_0_126,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_127,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( $equal(mult(mult(mult(A,B),B),C),mult(mult(mult(A,B),B),C)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
mult(mult(mult(A,B),B),C) = mult(mult(A,mult(B,B)),C),
inference(resolve,[$cnf( $equal(mult(mult(A,B),B),mult(A,mult(B,B))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( mult(A,mult(B,mult(B,C))) != mult(mult(mult(A,B),B),C)
| mult(mult(mult(A,B),B),C) != mult(mult(A,mult(B,B)),C)
| mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C) ),
introduced(tautology,[equality,[$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_130,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( $equal(mult(mult(mult(A,B),B),C),mult(mult(A,mult(B,B)),C)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C),
inference(resolve,[$cnf( $equal(mult(A,mult(B,mult(B,C))),mult(mult(mult(A,B),B),C)) )],[refute_0_0,refute_0_130]) ).
cnf(refute_0_132,plain,
mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) = mult(mult(i(mult(X_31,X_31)),mult(X_31,X_31)),X_32),
inference(subst,[],[refute_0_131:[bind(A,$fot(i(mult(X_31,X_31)))),bind(B,$fot(X_31)),bind(C,$fot(X_32))]]) ).
cnf(refute_0_133,plain,
mult(i(mult(X_31,X_31)),mult(X_31,X_31)) = unit,
inference(subst,[],[refute_0_13:[bind(A,$fot(mult(X_31,X_31)))]]) ).
cnf(refute_0_134,plain,
( mult(i(mult(X_31,X_31)),mult(X_31,X_31)) != unit
| mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) != mult(mult(i(mult(X_31,X_31)),mult(X_31,X_31)),X_32)
| mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) = mult(unit,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))),mult(mult(i(mult(X_31,X_31)),mult(X_31,X_31)),X_32)) ),[1,0],$fot(unit)]]) ).
cnf(refute_0_135,plain,
( mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) != mult(mult(i(mult(X_31,X_31)),mult(X_31,X_31)),X_32)
| mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) = mult(unit,X_32) ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_31,X_31)),mult(X_31,X_31)),unit) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) = mult(unit,X_32),
inference(resolve,[$cnf( $equal(mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))),mult(mult(i(mult(X_31,X_31)),mult(X_31,X_31)),X_32)) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
mult(unit,X_32) = X_32,
inference(subst,[],[refute_0_2:[bind(A,$fot(X_32))]]) ).
cnf(refute_0_138,plain,
( mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) != mult(unit,X_32)
| mult(unit,X_32) != X_32
| mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) = X_32 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))),X_32) ),[0],$fot(mult(unit,X_32))]]) ).
cnf(refute_0_139,plain,
( mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) != mult(unit,X_32)
| mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) = X_32 ),
inference(resolve,[$cnf( $equal(mult(unit,X_32),X_32) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))) = X_32,
inference(resolve,[$cnf( $equal(mult(i(mult(X_31,X_31)),mult(X_31,mult(X_31,X_32))),mult(unit,X_32)) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))) = X_6,
inference(subst,[],[refute_0_140:[bind(X_31,$fot(X_50)),bind(X_32,$fot(X_6))]]) ).
cnf(refute_0_142,plain,
( mult(i(X_50),mult(X_50,X_6)) != mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6)))
| mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))) != X_6
| mult(i(X_50),mult(X_50,X_6)) = X_6 ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(i(X_50),mult(X_50,X_6)),X_6) ),[0],$fot(mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))))]]) ).
cnf(refute_0_143,plain,
( mult(i(X_50),mult(X_50,X_6)) != mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6)))
| mult(i(X_50),mult(X_50,X_6)) = X_6 ),
inference(resolve,[$cnf( $equal(mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6))),X_6) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
mult(i(X_50),mult(X_50,X_6)) = X_6,
inference(resolve,[$cnf( $equal(mult(i(X_50),mult(X_50,X_6)),mult(i(mult(X_50,X_50)),mult(X_50,mult(X_50,X_6)))) )],[refute_0_121,refute_0_143]) ).
cnf(refute_0_145,plain,
mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)) = skolemFOFtoCNF_X8,
inference(subst,[],[refute_0_144:[bind(X_50,$fot(skolemFOFtoCNF_X6)),bind(X_6,$fot(skolemFOFtoCNF_X8))]]) ).
cnf(refute_0_146,plain,
mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7) = mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_147,plain,
( mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7) != mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)
| mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8) = mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7))),bind(Y,$fot(mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)))]]) ).
cnf(refute_0_148,plain,
mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8) = mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)) != skolemFOFtoCNF_X8
| mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8) != mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)
| mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) = skolemFOFtoCNF_X8 ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)),skolemFOFtoCNF_X8) ),[0,1],$fot(mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7))]]) ).
cnf(refute_0_150,plain,
( mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)) != skolemFOFtoCNF_X8
| mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) = skolemFOFtoCNF_X8 ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) = skolemFOFtoCNF_X8,
inference(resolve,[$cnf( $equal(mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X8)),skolemFOFtoCNF_X8) )],[refute_0_145,refute_0_150]) ).
cnf(refute_0_152,plain,
mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) = skolemFOFtoCNF_X7,
inference(subst,[],[refute_0_144:[bind(X_50,$fot(skolemFOFtoCNF_X6)),bind(X_6,$fot(skolemFOFtoCNF_X7))]]) ).
cnf(refute_0_153,plain,
( mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) != skolemFOFtoCNF_X7
| mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) != skolemFOFtoCNF_X8
| skolemFOFtoCNF_X7 = skolemFOFtoCNF_X8 ),
introduced(tautology,[equality,[$cnf( $equal(mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)),skolemFOFtoCNF_X8) ),[0],$fot(skolemFOFtoCNF_X7)]]) ).
cnf(refute_0_154,plain,
( mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)) != skolemFOFtoCNF_X8
| skolemFOFtoCNF_X7 = skolemFOFtoCNF_X8 ),
inference(resolve,[$cnf( $equal(mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)),skolemFOFtoCNF_X7) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
skolemFOFtoCNF_X7 = skolemFOFtoCNF_X8,
inference(resolve,[$cnf( $equal(mult(i(skolemFOFtoCNF_X6),mult(skolemFOFtoCNF_X6,skolemFOFtoCNF_X7)),skolemFOFtoCNF_X8) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
skolemFOFtoCNF_X7 != skolemFOFtoCNF_X8,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_157,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X7,skolemFOFtoCNF_X8) )],[refute_0_155,refute_0_156]) ).
fof(negate_1_0,plain,
~ ! [X6,X7,X8] :
( ( ( mult(X6,X7) = mult(X6,X8)
=> X7 = X8 )
& mult(X7,X6) = mult(X8,X6) )
=> X7 = X8 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[f03]) ).
fof(normalize_1_1,plain,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
? [X6,X7,X8] :
( X7 != X8
& mult(X7,X6) = mult(X8,X6)
& ( mult(X6,X7) != mult(X6,X8)
| X7 = X8 ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_3,plain,
( skolemFOFtoCNF_X7_1 != skolemFOFtoCNF_X8_1
& mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1) = mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1)
& ( mult(skolemFOFtoCNF_X6_1,skolemFOFtoCNF_X7_1) != mult(skolemFOFtoCNF_X6_1,skolemFOFtoCNF_X8_1)
| skolemFOFtoCNF_X7_1 = skolemFOFtoCNF_X8_1 ) ),
inference(skolemize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1) = mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [A] : mult(A,unit) = A,
inference(canonicalize,[],[f01]) ).
fof(normalize_1_6,plain,
! [A] : mult(A,unit) = A,
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A] : mult(A,i(A)) = unit,
inference(canonicalize,[],[f04]) ).
fof(normalize_1_8,plain,
! [A] : mult(A,i(A)) = unit,
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A] : mult(unit,A) = A,
inference(canonicalize,[],[f02]) ).
fof(normalize_1_10,plain,
! [A] : mult(unit,A) = A,
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
skolemFOFtoCNF_X7_1 != skolemFOFtoCNF_X8_1,
inference(conjunct,[],[normalize_1_3]) ).
cnf(refute_1_0,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) = mult(mult(mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60),
inference(subst,[],[refute_1_0:[bind(A,$fot(skolemFOFtoCNF_X8_1)),bind(B,$fot(skolemFOFtoCNF_X6_1)),bind(C,$fot(X_60))]]) ).
cnf(refute_1_2,plain,
mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1) = mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_3,refute_1_4]) ).
cnf(refute_1_6,plain,
( mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1) != mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1)
| mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1) = mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1))),bind(Y,$fot(mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1)))]]) ).
cnf(refute_1_7,plain,
mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1) = mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1)) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) != mult(mult(mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)
| mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1) != mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1)
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) = mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))),mult(mult(mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)) ),[1,0,0],$fot(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1))]]) ).
cnf(refute_1_9,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) != mult(mult(mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) = mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1)) )],[refute_1_7,refute_1_8]) ).
cnf(refute_1_10,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) = mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))),mult(mult(mult(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)) )],[refute_1_1,refute_1_9]) ).
cnf(refute_1_11,plain,
( mult(A,mult(B,mult(B,C))) != mult(mult(mult(A,B),B),C)
| mult(mult(mult(A,B),B),C) = mult(A,mult(B,mult(B,C))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(mult(A,mult(B,mult(B,C))))),bind(Y,$fot(mult(mult(mult(A,B),B),C)))]]) ).
cnf(refute_1_12,plain,
mult(mult(mult(A,B),B),C) = mult(A,mult(B,mult(B,C))),
inference(resolve,[$cnf( $equal(mult(A,mult(B,mult(B,C))),mult(mult(mult(A,B),B),C)) )],[refute_1_0,refute_1_11]) ).
cnf(refute_1_13,plain,
mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))),
inference(subst,[],[refute_1_12:[bind(A,$fot(skolemFOFtoCNF_X7_1)),bind(B,$fot(skolemFOFtoCNF_X6_1)),bind(C,$fot(X_60))]]) ).
cnf(refute_1_14,plain,
( mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60) != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60)))
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) != mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))),mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)) ),[1],$fot(mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))))]]) ).
cnf(refute_1_15,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) != mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60),mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60)))) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,X_60))),mult(mult(mult(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X6_1),skolemFOFtoCNF_X6_1),X_60)) )],[refute_1_10,refute_1_15]) ).
cnf(refute_1_17,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),
inference(subst,[],[refute_1_16:[bind(X_60,$fot(mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))]]) ).
cnf(refute_1_18,plain,
mult(A,unit) = A,
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_19,plain,
mult(mult(mult(X_58,X_59),X_59),unit) = mult(mult(X_58,X_59),X_59),
inference(subst,[],[refute_1_18:[bind(A,$fot(mult(mult(X_58,X_59),X_59)))]]) ).
cnf(refute_1_20,plain,
mult(X_58,mult(X_59,mult(X_59,unit))) = mult(mult(mult(X_58,X_59),X_59),unit),
inference(subst,[],[refute_1_0:[bind(A,$fot(X_58)),bind(B,$fot(X_59)),bind(C,$fot(unit))]]) ).
cnf(refute_1_21,plain,
( mult(X_58,mult(X_59,mult(X_59,unit))) != mult(mult(mult(X_58,X_59),X_59),unit)
| mult(mult(mult(X_58,X_59),X_59),unit) = mult(X_58,mult(X_59,mult(X_59,unit))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(mult(X_58,mult(X_59,mult(X_59,unit))))),bind(Y,$fot(mult(mult(mult(X_58,X_59),X_59),unit)))]]) ).
cnf(refute_1_22,plain,
mult(mult(mult(X_58,X_59),X_59),unit) = mult(X_58,mult(X_59,mult(X_59,unit))),
inference(resolve,[$cnf( $equal(mult(X_58,mult(X_59,mult(X_59,unit))),mult(mult(mult(X_58,X_59),X_59),unit)) )],[refute_1_20,refute_1_21]) ).
cnf(refute_1_23,plain,
( mult(mult(mult(X_58,X_59),X_59),unit) != mult(X_58,mult(X_59,mult(X_59,unit)))
| mult(mult(mult(X_58,X_59),X_59),unit) != mult(mult(X_58,X_59),X_59)
| mult(X_58,mult(X_59,mult(X_59,unit))) = mult(mult(X_58,X_59),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_58,X_59),X_59),unit),mult(mult(X_58,X_59),X_59)) ),[0],$fot(mult(X_58,mult(X_59,mult(X_59,unit))))]]) ).
cnf(refute_1_24,plain,
( mult(mult(mult(X_58,X_59),X_59),unit) != mult(mult(X_58,X_59),X_59)
| mult(X_58,mult(X_59,mult(X_59,unit))) = mult(mult(X_58,X_59),X_59) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_58,X_59),X_59),unit),mult(X_58,mult(X_59,mult(X_59,unit)))) )],[refute_1_22,refute_1_23]) ).
cnf(refute_1_25,plain,
mult(X_58,mult(X_59,mult(X_59,unit))) = mult(mult(X_58,X_59),X_59),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_58,X_59),X_59),unit),mult(mult(X_58,X_59),X_59)) )],[refute_1_19,refute_1_24]) ).
cnf(refute_1_26,plain,
mult(X_59,unit) = X_59,
inference(subst,[],[refute_1_18:[bind(A,$fot(X_59))]]) ).
cnf(refute_1_27,plain,
mult(X_59,mult(X_59,unit)) = mult(X_59,mult(X_59,unit)),
introduced(tautology,[refl,[$fot(mult(X_59,mult(X_59,unit)))]]) ).
cnf(refute_1_28,plain,
( mult(X_59,mult(X_59,unit)) != mult(X_59,mult(X_59,unit))
| mult(X_59,unit) != X_59
| mult(X_59,mult(X_59,unit)) = mult(X_59,X_59) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_59,mult(X_59,unit)),mult(X_59,mult(X_59,unit))) ),[1,1],$fot(X_59)]]) ).
cnf(refute_1_29,plain,
( mult(X_59,unit) != X_59
| mult(X_59,mult(X_59,unit)) = mult(X_59,X_59) ),
inference(resolve,[$cnf( $equal(mult(X_59,mult(X_59,unit)),mult(X_59,mult(X_59,unit))) )],[refute_1_27,refute_1_28]) ).
cnf(refute_1_30,plain,
mult(X_59,mult(X_59,unit)) = mult(X_59,X_59),
inference(resolve,[$cnf( $equal(mult(X_59,unit),X_59) )],[refute_1_26,refute_1_29]) ).
cnf(refute_1_31,plain,
mult(X_58,mult(X_59,mult(X_59,unit))) = mult(X_58,mult(X_59,mult(X_59,unit))),
introduced(tautology,[refl,[$fot(mult(X_58,mult(X_59,mult(X_59,unit))))]]) ).
cnf(refute_1_32,plain,
( mult(X_58,mult(X_59,mult(X_59,unit))) != mult(X_58,mult(X_59,mult(X_59,unit)))
| mult(X_59,mult(X_59,unit)) != mult(X_59,X_59)
| mult(X_58,mult(X_59,mult(X_59,unit))) = mult(X_58,mult(X_59,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_58,mult(X_59,mult(X_59,unit))),mult(X_58,mult(X_59,mult(X_59,unit)))) ),[1,1],$fot(mult(X_59,X_59))]]) ).
cnf(refute_1_33,plain,
( mult(X_59,mult(X_59,unit)) != mult(X_59,X_59)
| mult(X_58,mult(X_59,mult(X_59,unit))) = mult(X_58,mult(X_59,X_59)) ),
inference(resolve,[$cnf( $equal(mult(X_58,mult(X_59,mult(X_59,unit))),mult(X_58,mult(X_59,mult(X_59,unit)))) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
mult(X_58,mult(X_59,mult(X_59,unit))) = mult(X_58,mult(X_59,X_59)),
inference(resolve,[$cnf( $equal(mult(X_59,mult(X_59,unit)),mult(X_59,X_59)) )],[refute_1_30,refute_1_33]) ).
cnf(refute_1_35,plain,
( mult(X_58,mult(X_59,mult(X_59,unit))) != mult(X_58,mult(X_59,X_59))
| mult(X_58,mult(X_59,mult(X_59,unit))) != mult(mult(X_58,X_59),X_59)
| mult(X_58,mult(X_59,X_59)) = mult(mult(X_58,X_59),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_58,mult(X_59,mult(X_59,unit))),mult(mult(X_58,X_59),X_59)) ),[0],$fot(mult(X_58,mult(X_59,X_59)))]]) ).
cnf(refute_1_36,plain,
( mult(X_58,mult(X_59,mult(X_59,unit))) != mult(mult(X_58,X_59),X_59)
| mult(X_58,mult(X_59,X_59)) = mult(mult(X_58,X_59),X_59) ),
inference(resolve,[$cnf( $equal(mult(X_58,mult(X_59,mult(X_59,unit))),mult(X_58,mult(X_59,X_59))) )],[refute_1_34,refute_1_35]) ).
cnf(refute_1_37,plain,
mult(X_58,mult(X_59,X_59)) = mult(mult(X_58,X_59),X_59),
inference(resolve,[$cnf( $equal(mult(X_58,mult(X_59,mult(X_59,unit))),mult(mult(X_58,X_59),X_59)) )],[refute_1_25,refute_1_36]) ).
cnf(refute_1_38,plain,
mult(X_62,mult(i(X_62),i(X_62))) = mult(mult(X_62,i(X_62)),i(X_62)),
inference(subst,[],[refute_1_37:[bind(X_58,$fot(X_62)),bind(X_59,$fot(i(X_62)))]]) ).
cnf(refute_1_39,plain,
mult(A,i(A)) = unit,
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_40,plain,
mult(X_62,i(X_62)) = unit,
inference(subst,[],[refute_1_39:[bind(A,$fot(X_62))]]) ).
cnf(refute_1_41,plain,
( mult(X_62,i(X_62)) != unit
| mult(X_62,mult(i(X_62),i(X_62))) != mult(mult(X_62,i(X_62)),i(X_62))
| mult(X_62,mult(i(X_62),i(X_62))) = mult(unit,i(X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_62,mult(i(X_62),i(X_62))),mult(mult(X_62,i(X_62)),i(X_62))) ),[1,0],$fot(unit)]]) ).
cnf(refute_1_42,plain,
( mult(X_62,mult(i(X_62),i(X_62))) != mult(mult(X_62,i(X_62)),i(X_62))
| mult(X_62,mult(i(X_62),i(X_62))) = mult(unit,i(X_62)) ),
inference(resolve,[$cnf( $equal(mult(X_62,i(X_62)),unit) )],[refute_1_40,refute_1_41]) ).
cnf(refute_1_43,plain,
mult(X_62,mult(i(X_62),i(X_62))) = mult(unit,i(X_62)),
inference(resolve,[$cnf( $equal(mult(X_62,mult(i(X_62),i(X_62))),mult(mult(X_62,i(X_62)),i(X_62))) )],[refute_1_38,refute_1_42]) ).
cnf(refute_1_44,plain,
mult(unit,A) = A,
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_45,plain,
mult(unit,i(X_62)) = i(X_62),
inference(subst,[],[refute_1_44:[bind(A,$fot(i(X_62)))]]) ).
cnf(refute_1_46,plain,
( mult(X_62,mult(i(X_62),i(X_62))) != mult(unit,i(X_62))
| mult(unit,i(X_62)) != i(X_62)
| mult(X_62,mult(i(X_62),i(X_62))) = i(X_62) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_62,mult(i(X_62),i(X_62))),i(X_62)) ),[0],$fot(mult(unit,i(X_62)))]]) ).
cnf(refute_1_47,plain,
( mult(X_62,mult(i(X_62),i(X_62))) != mult(unit,i(X_62))
| mult(X_62,mult(i(X_62),i(X_62))) = i(X_62) ),
inference(resolve,[$cnf( $equal(mult(unit,i(X_62)),i(X_62)) )],[refute_1_45,refute_1_46]) ).
cnf(refute_1_48,plain,
mult(X_62,mult(i(X_62),i(X_62))) = i(X_62),
inference(resolve,[$cnf( $equal(mult(X_62,mult(i(X_62),i(X_62))),mult(unit,i(X_62))) )],[refute_1_43,refute_1_47]) ).
cnf(refute_1_49,plain,
mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))) = i(skolemFOFtoCNF_X6_1),
inference(subst,[],[refute_1_48:[bind(X_62,$fot(skolemFOFtoCNF_X6_1))]]) ).
cnf(refute_1_50,plain,
( mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))) != i(skolemFOFtoCNF_X6_1)
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) ),[0,1,1],$fot(i(skolemFOFtoCNF_X6_1))]]) ).
cnf(refute_1_51,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))),i(skolemFOFtoCNF_X6_1)) )],[refute_1_49,refute_1_50]) ).
cnf(refute_1_52,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) )],[refute_1_17,refute_1_51]) ).
cnf(refute_1_53,plain,
mult(skolemFOFtoCNF_X8_1,unit) = skolemFOFtoCNF_X8_1,
inference(subst,[],[refute_1_18:[bind(A,$fot(skolemFOFtoCNF_X8_1))]]) ).
cnf(refute_1_54,plain,
mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)) = unit,
inference(subst,[],[refute_1_39:[bind(A,$fot(skolemFOFtoCNF_X6_1))]]) ).
cnf(refute_1_55,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))),
introduced(tautology,[refl,[$fot(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))))]]) ).
cnf(refute_1_56,plain,
( mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)) != unit
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) != mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)))
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = mult(skolemFOFtoCNF_X8_1,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))),mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)))) ),[1,1],$fot(unit)]]) ).
cnf(refute_1_57,plain,
( mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)) != unit
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = mult(skolemFOFtoCNF_X8_1,unit) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))),mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)))) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = mult(skolemFOFtoCNF_X8_1,unit),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)),unit) )],[refute_1_54,refute_1_57]) ).
cnf(refute_1_59,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_60,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_5,refute_1_59]) ).
cnf(refute_1_61,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) != mult(skolemFOFtoCNF_X8_1,unit)
| mult(skolemFOFtoCNF_X8_1,unit) != skolemFOFtoCNF_X8_1
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = skolemFOFtoCNF_X8_1 ),
inference(subst,[],[refute_1_60:[bind(X,$fot(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))))),bind(Y,$fot(mult(skolemFOFtoCNF_X8_1,unit))),bind(Z,$fot(skolemFOFtoCNF_X8_1))]]) ).
cnf(refute_1_62,plain,
( mult(skolemFOFtoCNF_X8_1,unit) != skolemFOFtoCNF_X8_1
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = skolemFOFtoCNF_X8_1 ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))),mult(skolemFOFtoCNF_X8_1,unit)) )],[refute_1_58,refute_1_61]) ).
cnf(refute_1_63,plain,
mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) = skolemFOFtoCNF_X8_1,
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,unit),skolemFOFtoCNF_X8_1) )],[refute_1_53,refute_1_62]) ).
cnf(refute_1_64,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) != skolemFOFtoCNF_X8_1
| skolemFOFtoCNF_X8_1 = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))),mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) ),[0],$fot(skolemFOFtoCNF_X8_1)]]) ).
cnf(refute_1_65,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| skolemFOFtoCNF_X8_1 = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))),skolemFOFtoCNF_X8_1) )],[refute_1_63,refute_1_64]) ).
cnf(refute_1_66,plain,
mult(skolemFOFtoCNF_X7_1,unit) = skolemFOFtoCNF_X7_1,
inference(subst,[],[refute_1_18:[bind(A,$fot(skolemFOFtoCNF_X7_1))]]) ).
cnf(refute_1_67,plain,
mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) = mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))),
introduced(tautology,[refl,[$fot(mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))]]) ).
cnf(refute_1_68,plain,
( mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))) != i(skolemFOFtoCNF_X6_1)
| mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) != mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))
| mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) = mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))),mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) ),[1,1],$fot(i(skolemFOFtoCNF_X6_1))]]) ).
cnf(refute_1_69,plain,
( mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))) != i(skolemFOFtoCNF_X6_1)
| mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) = mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))),mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) )],[refute_1_67,refute_1_68]) ).
cnf(refute_1_70,plain,
mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) = mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))),i(skolemFOFtoCNF_X6_1)) )],[refute_1_49,refute_1_69]) ).
cnf(refute_1_71,plain,
( mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)) != unit
| mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) != mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))
| mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) = unit ),
inference(subst,[],[refute_1_60:[bind(X,$fot(mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))),bind(Y,$fot(mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)))),bind(Z,$fot(unit))]]) ).
cnf(refute_1_72,plain,
( mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)) != unit
| mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) = unit ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))),mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) )],[refute_1_70,refute_1_71]) ).
cnf(refute_1_73,plain,
mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) = unit,
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1)),unit) )],[refute_1_54,refute_1_72]) ).
cnf(refute_1_74,plain,
mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),
introduced(tautology,[refl,[$fot(mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))))]]) ).
cnf(refute_1_75,plain,
( mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) != unit
| mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = mult(skolemFOFtoCNF_X7_1,unit) ),
introduced(tautology,[equality,[$cnf( $equal(mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) ),[1,1],$fot(unit)]]) ).
cnf(refute_1_76,plain,
( mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))) != unit
| mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = mult(skolemFOFtoCNF_X7_1,unit) ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) )],[refute_1_74,refute_1_75]) ).
cnf(refute_1_77,plain,
mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = mult(skolemFOFtoCNF_X7_1,unit),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))),unit) )],[refute_1_73,refute_1_76]) ).
cnf(refute_1_78,plain,
( mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) != mult(skolemFOFtoCNF_X7_1,unit)
| mult(skolemFOFtoCNF_X7_1,unit) != skolemFOFtoCNF_X7_1
| mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = skolemFOFtoCNF_X7_1 ),
inference(subst,[],[refute_1_60:[bind(X,$fot(mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))))),bind(Y,$fot(mult(skolemFOFtoCNF_X7_1,unit))),bind(Z,$fot(skolemFOFtoCNF_X7_1))]]) ).
cnf(refute_1_79,plain,
( mult(skolemFOFtoCNF_X7_1,unit) != skolemFOFtoCNF_X7_1
| mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = skolemFOFtoCNF_X7_1 ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),mult(skolemFOFtoCNF_X7_1,unit)) )],[refute_1_77,refute_1_78]) ).
cnf(refute_1_80,plain,
mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) = skolemFOFtoCNF_X7_1,
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X7_1,unit),skolemFOFtoCNF_X7_1) )],[refute_1_66,refute_1_79]) ).
cnf(refute_1_81,plain,
( mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))) != skolemFOFtoCNF_X7_1
| skolemFOFtoCNF_X8_1 != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| skolemFOFtoCNF_X8_1 = skolemFOFtoCNF_X7_1 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) ),[1],$fot(skolemFOFtoCNF_X7_1)]]) ).
cnf(refute_1_82,plain,
( skolemFOFtoCNF_X8_1 != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| skolemFOFtoCNF_X8_1 = skolemFOFtoCNF_X7_1 ),
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1))))),skolemFOFtoCNF_X7_1) )],[refute_1_80,refute_1_81]) ).
cnf(refute_1_83,plain,
( mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))) != mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))
| skolemFOFtoCNF_X8_1 = skolemFOFtoCNF_X7_1 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) )],[refute_1_65,refute_1_82]) ).
cnf(refute_1_84,plain,
skolemFOFtoCNF_X8_1 = skolemFOFtoCNF_X7_1,
inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X8_1,mult(skolemFOFtoCNF_X6_1,i(skolemFOFtoCNF_X6_1))),mult(skolemFOFtoCNF_X7_1,mult(skolemFOFtoCNF_X6_1,mult(skolemFOFtoCNF_X6_1,mult(i(skolemFOFtoCNF_X6_1),i(skolemFOFtoCNF_X6_1)))))) )],[refute_1_52,refute_1_83]) ).
cnf(refute_1_85,plain,
skolemFOFtoCNF_X7_1 != skolemFOFtoCNF_X8_1,
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_86,plain,
( skolemFOFtoCNF_X8_1 != skolemFOFtoCNF_X7_1
| skolemFOFtoCNF_X7_1 = skolemFOFtoCNF_X8_1 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(skolemFOFtoCNF_X8_1)),bind(Y,$fot(skolemFOFtoCNF_X7_1))]]) ).
cnf(refute_1_87,plain,
skolemFOFtoCNF_X8_1 != skolemFOFtoCNF_X7_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X7_1,skolemFOFtoCNF_X8_1) )],[refute_1_86,refute_1_85]) ).
cnf(refute_1_88,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X8_1,skolemFOFtoCNF_X7_1) )],[refute_1_84,refute_1_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP711+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 09:17:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.92/1.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.09
% 0.92/1.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.92/1.13
%------------------------------------------------------------------------------