TSTP Solution File: KLE068+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE068+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : Sun Jul 17 02:15:01 EDT 2022
% Result : Theorem 6.53s 6.72s
% Output : CNFRefutation 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 73
% Syntax : Number of formulae : 324 ( 182 unt; 0 def)
% Number of atoms : 528 ( 527 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 414 ( 210 ~; 204 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 571 ( 27 sgn 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(domain1,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ).
fof(domain3,axiom,
! [X0] : addition(domain(X0),one) = one ).
fof(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ).
fof(goals,conjecture,
! [X0,X1] : domain(multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),domain(X1)) ).
fof(subgoal_0,plain,
! [X0,X1] : domain(multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),domain(X1)),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] : domain(multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),domain(X1)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] : domain(multiplication(domain(X0),domain(X1))) != multiplication(domain(X0),domain(X1)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) != multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_3,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_7,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_11,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_13,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_15,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_17,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_18]) ).
cnf(refute_0_0,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) != multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( domain(multiplication(X0,X1)) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(multiplication(X0,X1)))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_6,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,X1)),domain(multiplication(X0,domain(X1)))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) = domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(domain(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_8,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) = multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))),multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) ),[0],$fot(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_9,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) = multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))),domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))),multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
multiplication(domain(X_49),addition(X_48,X_49)) = addition(multiplication(domain(X_49),X_48),multiplication(domain(X_49),X_49)),
inference(subst,[],[refute_0_11:[bind(A,$fot(domain(X_49))),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_13,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_15,plain,
multiplication(addition(X_30,one),X_32) = addition(multiplication(X_30,X_32),multiplication(one,X_32)),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_30)),bind(B,$fot(one)),bind(C,$fot(X_32))]]) ).
cnf(refute_0_16,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_17,plain,
multiplication(one,X_32) = X_32,
inference(subst,[],[refute_0_16:[bind(A,$fot(X_32))]]) ).
cnf(refute_0_18,plain,
( multiplication(addition(X_30,one),X_32) != addition(multiplication(X_30,X_32),multiplication(one,X_32))
| multiplication(one,X_32) != X_32
| multiplication(addition(X_30,one),X_32) = addition(multiplication(X_30,X_32),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_30,one),X_32),addition(multiplication(X_30,X_32),multiplication(one,X_32))) ),[1,1],$fot(X_32)]]) ).
cnf(refute_0_19,plain,
( multiplication(addition(X_30,one),X_32) != addition(multiplication(X_30,X_32),multiplication(one,X_32))
| multiplication(addition(X_30,one),X_32) = addition(multiplication(X_30,X_32),X_32) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_32),X_32) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
multiplication(addition(X_30,one),X_32) = addition(multiplication(X_30,X_32),X_32),
inference(resolve,[$cnf( $equal(multiplication(addition(X_30,one),X_32),addition(multiplication(X_30,X_32),multiplication(one,X_32))) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_22,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_23,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
addition(multiplication(X_30,X_32),X_32) = addition(X_32,multiplication(X_30,X_32)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_32)),bind(B,$fot(multiplication(X_30,X_32)))]]) ).
cnf(refute_0_25,plain,
( addition(multiplication(X_30,X_32),X_32) != addition(X_32,multiplication(X_30,X_32))
| multiplication(addition(X_30,one),X_32) != addition(multiplication(X_30,X_32),X_32)
| multiplication(addition(X_30,one),X_32) = addition(X_32,multiplication(X_30,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_30,one),X_32),addition(multiplication(X_30,X_32),X_32)) ),[1],$fot(addition(X_32,multiplication(X_30,X_32)))]]) ).
cnf(refute_0_26,plain,
( multiplication(addition(X_30,one),X_32) != addition(multiplication(X_30,X_32),X_32)
| multiplication(addition(X_30,one),X_32) = addition(X_32,multiplication(X_30,X_32)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_30,X_32),X_32),addition(X_32,multiplication(X_30,X_32))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiplication(addition(X_30,one),X_32) = addition(X_32,multiplication(X_30,X_32)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_30,one),X_32),addition(multiplication(X_30,X_32),X_32)) )],[refute_0_20,refute_0_26]) ).
cnf(refute_0_28,plain,
multiplication(addition(domain(X0),one),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(subst,[],[refute_0_27:[bind(X_30,$fot(domain(X0))),bind(X_32,$fot(X0))]]) ).
cnf(refute_0_29,plain,
( multiplication(addition(domain(X0),one),X0) != addition(X0,multiplication(domain(X0),X0))
| addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(addition(X0,multiplication(domain(X0),X0))))]]) ).
cnf(refute_0_30,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),addition(X0,multiplication(domain(X0),X0))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(addition(domain(X0),one),X0)
| addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) ),[0],$fot(multiplication(addition(domain(X0),one),X0))]]) ).
cnf(refute_0_32,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(addition(domain(X0),one),X0)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) )],[refute_0_13,refute_0_32]) ).
cnf(refute_0_34,plain,
multiplication(one,X0) = X0,
inference(subst,[],[refute_0_16:[bind(A,$fot(X0))]]) ).
cnf(refute_0_35,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_36,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_23:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_37,plain,
( addition(domain(X0),one) != addition(one,domain(X0))
| addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),one),one) ),[0],$fot(addition(one,domain(X0)))]]) ).
cnf(refute_0_38,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(addition(one,domain(X0)),X0),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),X0))]]) ).
cnf(refute_0_41,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_42,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_45,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiplication(addition(one,domain(X0)),X0) != multiplication(one,X0)
| multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(subst,[],[refute_0_45:[bind(X,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Y,$fot(multiplication(one,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_47,plain,
( multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(one,X0)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiplication(addition(one,domain(X0)),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(one,X0),X0) )],[refute_0_34,refute_0_47]) ).
cnf(refute_0_49,plain,
addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) = addition(multiplication(X_30,X_32),multiplication(X_31,X_32)),
inference(subst,[],[refute_0_21:[bind(A,$fot(multiplication(X_31,X_32))),bind(B,$fot(multiplication(X_30,X_32)))]]) ).
cnf(refute_0_50,plain,
multiplication(addition(X_30,X_31),X_32) = addition(multiplication(X_30,X_32),multiplication(X_31,X_32)),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_30)),bind(B,$fot(X_31)),bind(C,$fot(X_32))]]) ).
cnf(refute_0_51,plain,
( multiplication(addition(X_30,X_31),X_32) != addition(multiplication(X_30,X_32),multiplication(X_31,X_32))
| addition(multiplication(X_30,X_32),multiplication(X_31,X_32)) = multiplication(addition(X_30,X_31),X_32) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_30,X_31),X_32))),bind(Y,$fot(addition(multiplication(X_30,X_32),multiplication(X_31,X_32))))]]) ).
cnf(refute_0_52,plain,
addition(multiplication(X_30,X_32),multiplication(X_31,X_32)) = multiplication(addition(X_30,X_31),X_32),
inference(resolve,[$cnf( $equal(multiplication(addition(X_30,X_31),X_32),addition(multiplication(X_30,X_32),multiplication(X_31,X_32))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( addition(multiplication(X_30,X_32),multiplication(X_31,X_32)) != multiplication(addition(X_30,X_31),X_32)
| addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) != addition(multiplication(X_30,X_32),multiplication(X_31,X_32))
| addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) = multiplication(addition(X_30,X_31),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_31,X_32),multiplication(X_30,X_32)),addition(multiplication(X_30,X_32),multiplication(X_31,X_32))) ),[1],$fot(multiplication(addition(X_30,X_31),X_32))]]) ).
cnf(refute_0_54,plain,
( addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) != addition(multiplication(X_30,X_32),multiplication(X_31,X_32))
| addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) = multiplication(addition(X_30,X_31),X_32) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_30,X_32),multiplication(X_31,X_32)),multiplication(addition(X_30,X_31),X_32)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) = multiplication(addition(X_30,X_31),X_32),
inference(resolve,[$cnf( $equal(addition(multiplication(X_31,X_32),multiplication(X_30,X_32)),addition(multiplication(X_30,X_32),multiplication(X_31,X_32))) )],[refute_0_49,refute_0_54]) ).
cnf(refute_0_56,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_57,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_14,refute_0_56]) ).
cnf(refute_0_58,plain,
addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) = multiplication(addition(X_31,X_30),X_32),
inference(subst,[],[refute_0_57:[bind(A,$fot(X_31)),bind(B,$fot(X_30)),bind(C,$fot(X_32))]]) ).
cnf(refute_0_59,plain,
( addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) != multiplication(addition(X_30,X_31),X_32)
| addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) != multiplication(addition(X_31,X_30),X_32)
| multiplication(addition(X_31,X_30),X_32) = multiplication(addition(X_30,X_31),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_31,X_32),multiplication(X_30,X_32)),multiplication(addition(X_30,X_31),X_32)) ),[0],$fot(multiplication(addition(X_31,X_30),X_32))]]) ).
cnf(refute_0_60,plain,
( addition(multiplication(X_31,X_32),multiplication(X_30,X_32)) != multiplication(addition(X_30,X_31),X_32)
| multiplication(addition(X_31,X_30),X_32) = multiplication(addition(X_30,X_31),X_32) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_31,X_32),multiplication(X_30,X_32)),multiplication(addition(X_31,X_30),X_32)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiplication(addition(X_31,X_30),X_32) = multiplication(addition(X_30,X_31),X_32),
inference(resolve,[$cnf( $equal(addition(multiplication(X_31,X_32),multiplication(X_30,X_32)),multiplication(addition(X_30,X_31),X_32)) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
( multiplication(addition(X_31,X_30),X_32) != multiplication(addition(X_30,X_31),X_32)
| multiplication(addition(X_30,X_31),X_32) = multiplication(addition(X_31,X_30),X_32) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_31,X_30),X_32))),bind(Y,$fot(multiplication(addition(X_30,X_31),X_32)))]]) ).
cnf(refute_0_63,plain,
multiplication(addition(X_30,X_31),X_32) = multiplication(addition(X_31,X_30),X_32),
inference(resolve,[$cnf( $equal(multiplication(addition(X_31,X_30),X_32),multiplication(addition(X_30,X_31),X_32)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(addition(one,domain(X0)),X0),
inference(subst,[],[refute_0_63:[bind(X_30,$fot(domain(X0))),bind(X_31,$fot(one)),bind(X_32,$fot(X0))]]) ).
cnf(refute_0_65,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(subst,[],[refute_0_45:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_66,plain,
( multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiplication(addition(domain(X0),one),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),X0) )],[refute_0_48,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiplication(addition(domain(X0),one),X0) != X0
| multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_69,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),X0) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
X0 = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) )],[refute_0_33,refute_0_69]) ).
cnf(refute_0_71,plain,
X_49 = multiplication(domain(X_49),X_49),
inference(subst,[],[refute_0_70:[bind(X0,$fot(X_49))]]) ).
cnf(refute_0_72,plain,
( X_49 != multiplication(domain(X_49),X_49)
| multiplication(domain(X_49),X_49) = X_49 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_49)),bind(Y,$fot(multiplication(domain(X_49),X_49)))]]) ).
cnf(refute_0_73,plain,
multiplication(domain(X_49),X_49) = X_49,
inference(resolve,[$cnf( $equal(X_49,multiplication(domain(X_49),X_49)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( multiplication(domain(X_49),X_49) != X_49
| multiplication(domain(X_49),addition(X_48,X_49)) != addition(multiplication(domain(X_49),X_48),multiplication(domain(X_49),X_49))
| multiplication(domain(X_49),addition(X_48,X_49)) = addition(multiplication(domain(X_49),X_48),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_49),addition(X_48,X_49)),addition(multiplication(domain(X_49),X_48),multiplication(domain(X_49),X_49))) ),[1,1],$fot(X_49)]]) ).
cnf(refute_0_75,plain,
( multiplication(domain(X_49),addition(X_48,X_49)) != addition(multiplication(domain(X_49),X_48),multiplication(domain(X_49),X_49))
| multiplication(domain(X_49),addition(X_48,X_49)) = addition(multiplication(domain(X_49),X_48),X_49) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_49),X_49),X_49) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
multiplication(domain(X_49),addition(X_48,X_49)) = addition(multiplication(domain(X_49),X_48),X_49),
inference(resolve,[$cnf( $equal(multiplication(domain(X_49),addition(X_48,X_49)),addition(multiplication(domain(X_49),X_48),multiplication(domain(X_49),X_49))) )],[refute_0_12,refute_0_75]) ).
cnf(refute_0_77,plain,
addition(multiplication(domain(X_49),X_48),X_49) = addition(X_49,multiplication(domain(X_49),X_48)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_49)),bind(B,$fot(multiplication(domain(X_49),X_48)))]]) ).
cnf(refute_0_78,plain,
( addition(multiplication(domain(X_49),X_48),X_49) != addition(X_49,multiplication(domain(X_49),X_48))
| multiplication(domain(X_49),addition(X_48,X_49)) != addition(multiplication(domain(X_49),X_48),X_49)
| multiplication(domain(X_49),addition(X_48,X_49)) = addition(X_49,multiplication(domain(X_49),X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_49),addition(X_48,X_49)),addition(multiplication(domain(X_49),X_48),X_49)) ),[1],$fot(addition(X_49,multiplication(domain(X_49),X_48)))]]) ).
cnf(refute_0_79,plain,
( multiplication(domain(X_49),addition(X_48,X_49)) != addition(multiplication(domain(X_49),X_48),X_49)
| multiplication(domain(X_49),addition(X_48,X_49)) = addition(X_49,multiplication(domain(X_49),X_48)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_49),X_48),X_49),addition(X_49,multiplication(domain(X_49),X_48))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiplication(domain(X_49),addition(X_48,X_49)) = addition(X_49,multiplication(domain(X_49),X_48)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_49),addition(X_48,X_49)),addition(multiplication(domain(X_49),X_48),X_49)) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
multiplication(domain(domain(X1)),addition(domain(X0),domain(X1))) = addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))),
inference(subst,[],[refute_0_80:[bind(X_48,$fot(domain(X0))),bind(X_49,$fot(domain(X1)))]]) ).
cnf(refute_0_82,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_83,plain,
( domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| addition(domain(X0),domain(X1)) = domain(addition(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(addition(X0,X1)))),bind(Y,$fot(addition(domain(X0),domain(X1))))]]) ).
cnf(refute_0_84,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( addition(domain(X0),domain(X1)) != domain(addition(X0,X1))
| multiplication(domain(domain(X1)),addition(domain(X0),domain(X1))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(domain(X1)),domain(addition(X0,X1))) = addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),addition(domain(X0),domain(X1))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) ),[0,1],$fot(domain(addition(X0,X1)))]]) ).
cnf(refute_0_86,plain,
( multiplication(domain(domain(X1)),addition(domain(X0),domain(X1))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(domain(X1)),domain(addition(X0,X1))) = addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X1)),domain(addition(X0,X1))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiplication(domain(domain(X1)),domain(addition(X0,X1))) = addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),addition(domain(X0),domain(X1))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) )],[refute_0_81,refute_0_86]) ).
cnf(refute_0_88,plain,
domain(multiplication(one,X_26)) = domain(multiplication(one,domain(X_26))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one)),bind(X1,$fot(X_26))]]) ).
cnf(refute_0_89,plain,
multiplication(one,domain(X_26)) = domain(X_26),
inference(subst,[],[refute_0_16:[bind(A,$fot(domain(X_26)))]]) ).
cnf(refute_0_90,plain,
( domain(multiplication(one,X_26)) != domain(multiplication(one,domain(X_26)))
| multiplication(one,domain(X_26)) != domain(X_26)
| domain(multiplication(one,X_26)) = domain(domain(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_26)),domain(multiplication(one,domain(X_26)))) ),[1,0],$fot(domain(X_26))]]) ).
cnf(refute_0_91,plain,
( domain(multiplication(one,X_26)) != domain(multiplication(one,domain(X_26)))
| domain(multiplication(one,X_26)) = domain(domain(X_26)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_26)),domain(X_26)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
domain(multiplication(one,X_26)) = domain(domain(X_26)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_26)),domain(multiplication(one,domain(X_26)))) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
multiplication(one,X_26) = X_26,
inference(subst,[],[refute_0_16:[bind(A,$fot(X_26))]]) ).
cnf(refute_0_94,plain,
domain(multiplication(one,X_26)) = domain(multiplication(one,X_26)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_26)))]]) ).
cnf(refute_0_95,plain,
( domain(multiplication(one,X_26)) != domain(multiplication(one,X_26))
| multiplication(one,X_26) != X_26
| domain(multiplication(one,X_26)) = domain(X_26) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_26)),domain(multiplication(one,X_26))) ),[1,0],$fot(X_26)]]) ).
cnf(refute_0_96,plain,
( multiplication(one,X_26) != X_26
| domain(multiplication(one,X_26)) = domain(X_26) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_26)),domain(multiplication(one,X_26))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
domain(multiplication(one,X_26)) = domain(X_26),
inference(resolve,[$cnf( $equal(multiplication(one,X_26),X_26) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( domain(multiplication(one,X_26)) != domain(X_26)
| domain(multiplication(one,X_26)) != domain(domain(X_26))
| domain(X_26) = domain(domain(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_26)),domain(domain(X_26))) ),[0],$fot(domain(X_26))]]) ).
cnf(refute_0_99,plain,
( domain(multiplication(one,X_26)) != domain(domain(X_26))
| domain(X_26) = domain(domain(X_26)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_26)),domain(X_26)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
domain(X_26) = domain(domain(X_26)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_26)),domain(domain(X_26))) )],[refute_0_92,refute_0_99]) ).
cnf(refute_0_101,plain,
( domain(X_26) != domain(domain(X_26))
| domain(domain(X_26)) = domain(X_26) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(X_26))),bind(Y,$fot(domain(domain(X_26))))]]) ).
cnf(refute_0_102,plain,
domain(domain(X_26)) = domain(X_26),
inference(resolve,[$cnf( $equal(domain(X_26),domain(domain(X_26))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
domain(domain(X1)) = domain(X1),
inference(subst,[],[refute_0_102:[bind(X_26,$fot(X1))]]) ).
cnf(refute_0_104,plain,
multiplication(domain(domain(X1)),domain(addition(X0,X1))) = multiplication(domain(domain(X1)),domain(addition(X0,X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X1)),domain(addition(X0,X1))))]]) ).
cnf(refute_0_105,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),domain(addition(X0,X1))) != multiplication(domain(domain(X1)),domain(addition(X0,X1)))
| multiplication(domain(domain(X1)),domain(addition(X0,X1))) = multiplication(domain(X1),domain(addition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),domain(addition(X0,X1))),multiplication(domain(domain(X1)),domain(addition(X0,X1)))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_106,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),domain(addition(X0,X1))) = multiplication(domain(X1),domain(addition(X0,X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),domain(addition(X0,X1))),multiplication(domain(domain(X1)),domain(addition(X0,X1)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiplication(domain(domain(X1)),domain(addition(X0,X1))) = multiplication(domain(X1),domain(addition(X0,X1))),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( multiplication(domain(domain(X1)),domain(addition(X0,X1))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(domain(X1)),domain(addition(X0,X1))) != multiplication(domain(X1),domain(addition(X0,X1)))
| multiplication(domain(X1),domain(addition(X0,X1))) = addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),domain(addition(X0,X1))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) ),[0],$fot(multiplication(domain(X1),domain(addition(X0,X1))))]]) ).
cnf(refute_0_109,plain,
( multiplication(domain(domain(X1)),domain(addition(X0,X1))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(X1),domain(addition(X0,X1))) = addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),domain(addition(X0,X1))),multiplication(domain(X1),domain(addition(X0,X1)))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_111,plain,
multiplication(domain(X1),one) = domain(X1),
inference(subst,[],[refute_0_110:[bind(A,$fot(domain(X1)))]]) ).
cnf(refute_0_112,plain,
multiplication(domain(X1),addition(one,domain(X0))) = multiplication(domain(X1),addition(one,domain(X0))),
introduced(tautology,[refl,[$fot(multiplication(domain(X1),addition(one,domain(X0))))]]) ).
cnf(refute_0_113,plain,
( addition(one,domain(X0)) != one
| multiplication(domain(X1),addition(one,domain(X0))) != multiplication(domain(X1),addition(one,domain(X0)))
| multiplication(domain(X1),addition(one,domain(X0))) = multiplication(domain(X1),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(one,domain(X0))),multiplication(domain(X1),addition(one,domain(X0)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_114,plain,
( addition(one,domain(X0)) != one
| multiplication(domain(X1),addition(one,domain(X0))) = multiplication(domain(X1),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(one,domain(X0))),multiplication(domain(X1),addition(one,domain(X0)))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiplication(domain(X1),addition(one,domain(X0))) = multiplication(domain(X1),one),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_39,refute_0_114]) ).
cnf(refute_0_116,plain,
( multiplication(domain(X1),addition(one,domain(X0))) != multiplication(domain(X1),one)
| multiplication(domain(X1),one) != domain(X1)
| multiplication(domain(X1),addition(one,domain(X0))) = domain(X1) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(multiplication(domain(X1),addition(one,domain(X0))))),bind(Y,$fot(multiplication(domain(X1),one))),bind(Z,$fot(domain(X1)))]]) ).
cnf(refute_0_117,plain,
( multiplication(domain(X1),one) != domain(X1)
| multiplication(domain(X1),addition(one,domain(X0))) = domain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(one,domain(X0))),multiplication(domain(X1),one)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiplication(domain(X1),addition(one,domain(X0))) = domain(X1),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),one),domain(X1)) )],[refute_0_111,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplication(X_47,addition(X_48,one)) = addition(multiplication(X_47,X_48),multiplication(X_47,one)),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_47)),bind(B,$fot(X_48)),bind(C,$fot(one))]]) ).
cnf(refute_0_120,plain,
multiplication(X_47,one) = X_47,
inference(subst,[],[refute_0_110:[bind(A,$fot(X_47))]]) ).
cnf(refute_0_121,plain,
( multiplication(X_47,addition(X_48,one)) != addition(multiplication(X_47,X_48),multiplication(X_47,one))
| multiplication(X_47,one) != X_47
| multiplication(X_47,addition(X_48,one)) = addition(multiplication(X_47,X_48),X_47) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_47,addition(X_48,one)),addition(multiplication(X_47,X_48),multiplication(X_47,one))) ),[1,1],$fot(X_47)]]) ).
cnf(refute_0_122,plain,
( multiplication(X_47,addition(X_48,one)) != addition(multiplication(X_47,X_48),multiplication(X_47,one))
| multiplication(X_47,addition(X_48,one)) = addition(multiplication(X_47,X_48),X_47) ),
inference(resolve,[$cnf( $equal(multiplication(X_47,one),X_47) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiplication(X_47,addition(X_48,one)) = addition(multiplication(X_47,X_48),X_47),
inference(resolve,[$cnf( $equal(multiplication(X_47,addition(X_48,one)),addition(multiplication(X_47,X_48),multiplication(X_47,one))) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(multiplication(X_47,X_48),X_47) = addition(X_47,multiplication(X_47,X_48)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_47)),bind(B,$fot(multiplication(X_47,X_48)))]]) ).
cnf(refute_0_125,plain,
( addition(multiplication(X_47,X_48),X_47) != addition(X_47,multiplication(X_47,X_48))
| multiplication(X_47,addition(X_48,one)) != addition(multiplication(X_47,X_48),X_47)
| multiplication(X_47,addition(X_48,one)) = addition(X_47,multiplication(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_47,addition(X_48,one)),addition(multiplication(X_47,X_48),X_47)) ),[1],$fot(addition(X_47,multiplication(X_47,X_48)))]]) ).
cnf(refute_0_126,plain,
( multiplication(X_47,addition(X_48,one)) != addition(multiplication(X_47,X_48),X_47)
| multiplication(X_47,addition(X_48,one)) = addition(X_47,multiplication(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_47,X_48),X_47),addition(X_47,multiplication(X_47,X_48))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiplication(X_47,addition(X_48,one)) = addition(X_47,multiplication(X_47,X_48)),
inference(resolve,[$cnf( $equal(multiplication(X_47,addition(X_48,one)),addition(multiplication(X_47,X_48),X_47)) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
multiplication(X_50,addition(X_51,one)) = addition(X_50,multiplication(X_50,X_51)),
inference(subst,[],[refute_0_127:[bind(X_47,$fot(X_50)),bind(X_48,$fot(X_51))]]) ).
cnf(refute_0_129,plain,
addition(one,X_51) = addition(X_51,one),
inference(subst,[],[refute_0_21:[bind(A,$fot(one)),bind(B,$fot(X_51))]]) ).
cnf(refute_0_130,plain,
( addition(one,X_51) != addition(X_51,one)
| addition(X_51,one) = addition(one,X_51) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,X_51))),bind(Y,$fot(addition(X_51,one)))]]) ).
cnf(refute_0_131,plain,
addition(X_51,one) = addition(one,X_51),
inference(resolve,[$cnf( $equal(addition(one,X_51),addition(X_51,one)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( addition(X_51,one) != addition(one,X_51)
| multiplication(X_50,addition(X_51,one)) != addition(X_50,multiplication(X_50,X_51))
| multiplication(X_50,addition(one,X_51)) = addition(X_50,multiplication(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_50,addition(X_51,one)),addition(X_50,multiplication(X_50,X_51))) ),[0,1],$fot(addition(one,X_51))]]) ).
cnf(refute_0_133,plain,
( multiplication(X_50,addition(X_51,one)) != addition(X_50,multiplication(X_50,X_51))
| multiplication(X_50,addition(one,X_51)) = addition(X_50,multiplication(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(addition(X_51,one),addition(one,X_51)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiplication(X_50,addition(one,X_51)) = addition(X_50,multiplication(X_50,X_51)),
inference(resolve,[$cnf( $equal(multiplication(X_50,addition(X_51,one)),addition(X_50,multiplication(X_50,X_51))) )],[refute_0_128,refute_0_133]) ).
cnf(refute_0_135,plain,
( multiplication(X_50,addition(one,X_51)) != addition(X_50,multiplication(X_50,X_51))
| addition(X_50,multiplication(X_50,X_51)) = multiplication(X_50,addition(one,X_51)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_50,addition(one,X_51)))),bind(Y,$fot(addition(X_50,multiplication(X_50,X_51))))]]) ).
cnf(refute_0_136,plain,
addition(X_50,multiplication(X_50,X_51)) = multiplication(X_50,addition(one,X_51)),
inference(resolve,[$cnf( $equal(multiplication(X_50,addition(one,X_51)),addition(X_50,multiplication(X_50,X_51))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(domain(X1),multiplication(domain(X1),domain(X0))) = multiplication(domain(X1),addition(one,domain(X0))),
inference(subst,[],[refute_0_136:[bind(X_50,$fot(domain(X1))),bind(X_51,$fot(domain(X0)))]]) ).
cnf(refute_0_138,plain,
( addition(domain(X1),multiplication(domain(X1),domain(X0))) != multiplication(domain(X1),addition(one,domain(X0)))
| multiplication(domain(X1),addition(one,domain(X0))) != domain(X1)
| addition(domain(X1),multiplication(domain(X1),domain(X0))) = domain(X1) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(addition(domain(X1),multiplication(domain(X1),domain(X0))))),bind(Y,$fot(multiplication(domain(X1),addition(one,domain(X0))))),bind(Z,$fot(domain(X1)))]]) ).
cnf(refute_0_139,plain,
( multiplication(domain(X1),addition(one,domain(X0))) != domain(X1)
| addition(domain(X1),multiplication(domain(X1),domain(X0))) = domain(X1) ),
inference(resolve,[$cnf( $equal(addition(domain(X1),multiplication(domain(X1),domain(X0))),multiplication(domain(X1),addition(one,domain(X0)))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(domain(X1),multiplication(domain(X1),domain(X0))) = domain(X1),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(one,domain(X0))),domain(X1)) )],[refute_0_118,refute_0_139]) ).
cnf(refute_0_141,plain,
multiplication(domain(domain(X1)),domain(X0)) = multiplication(domain(domain(X1)),domain(X0)),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X1)),domain(X0)))]]) ).
cnf(refute_0_142,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),domain(X0)) != multiplication(domain(domain(X1)),domain(X0))
| multiplication(domain(domain(X1)),domain(X0)) = multiplication(domain(X1),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),domain(X0)),multiplication(domain(domain(X1)),domain(X0))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_143,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),domain(X0)) = multiplication(domain(X1),domain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),domain(X0)),multiplication(domain(domain(X1)),domain(X0))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiplication(domain(domain(X1)),domain(X0)) = multiplication(domain(X1),domain(X0)),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_103,refute_0_143]) ).
cnf(refute_0_145,plain,
addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) = addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))),
introduced(tautology,[refl,[$fot(addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))))]]) ).
cnf(refute_0_146,plain,
( addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(domain(X1)),domain(X0)) != multiplication(domain(X1),domain(X0))
| addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) = addition(domain(X1),multiplication(domain(X1),domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) ),[1,1],$fot(multiplication(domain(X1),domain(X0)))]]) ).
cnf(refute_0_147,plain,
( multiplication(domain(domain(X1)),domain(X0)) != multiplication(domain(X1),domain(X0))
| addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) = addition(domain(X1),multiplication(domain(X1),domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) = addition(domain(X1),multiplication(domain(X1),domain(X0))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),domain(X0)),multiplication(domain(X1),domain(X0))) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
( addition(domain(X1),multiplication(domain(X1),domain(X0))) != domain(X1)
| addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) != addition(domain(X1),multiplication(domain(X1),domain(X0)))
| addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) = domain(X1) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))))),bind(Y,$fot(addition(domain(X1),multiplication(domain(X1),domain(X0))))),bind(Z,$fot(domain(X1)))]]) ).
cnf(refute_0_150,plain,
( addition(domain(X1),multiplication(domain(X1),domain(X0))) != domain(X1)
| addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) = domain(X1) ),
inference(resolve,[$cnf( $equal(addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))),addition(domain(X1),multiplication(domain(X1),domain(X0)))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) = domain(X1),
inference(resolve,[$cnf( $equal(addition(domain(X1),multiplication(domain(X1),domain(X0))),domain(X1)) )],[refute_0_140,refute_0_150]) ).
cnf(refute_0_152,plain,
( addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))) != domain(X1)
| multiplication(domain(X1),domain(addition(X0,X1))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(X1),domain(addition(X0,X1))) = domain(X1) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),domain(addition(X0,X1))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) ),[1],$fot(domain(X1))]]) ).
cnf(refute_0_153,plain,
( multiplication(domain(X1),domain(addition(X0,X1))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(X1),domain(addition(X0,X1))) = domain(X1) ),
inference(resolve,[$cnf( $equal(addition(domain(X1),multiplication(domain(domain(X1)),domain(X0))),domain(X1)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( multiplication(domain(domain(X1)),domain(addition(X0,X1))) != addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))
| multiplication(domain(X1),domain(addition(X0,X1))) = domain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),domain(addition(X0,X1))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) )],[refute_0_109,refute_0_153]) ).
cnf(refute_0_155,plain,
multiplication(domain(X1),domain(addition(X0,X1))) = domain(X1),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),domain(addition(X0,X1))),addition(domain(X1),multiplication(domain(domain(X1)),domain(X0)))) )],[refute_0_87,refute_0_154]) ).
cnf(refute_0_156,plain,
multiplication(domain(multiplication(domain(X_143),X0)),domain(addition(X0,multiplication(domain(X_143),X0)))) = domain(multiplication(domain(X_143),X0)),
inference(subst,[],[refute_0_155:[bind(X1,$fot(multiplication(domain(X_143),X0)))]]) ).
cnf(refute_0_157,plain,
multiplication(addition(X_33,one),X_34) = addition(X_34,multiplication(X_33,X_34)),
inference(subst,[],[refute_0_27:[bind(X_30,$fot(X_33)),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_158,plain,
addition(one,X_33) = addition(X_33,one),
inference(subst,[],[refute_0_21:[bind(A,$fot(one)),bind(B,$fot(X_33))]]) ).
cnf(refute_0_159,plain,
( addition(one,X_33) != addition(X_33,one)
| addition(X_33,one) = addition(one,X_33) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,X_33))),bind(Y,$fot(addition(X_33,one)))]]) ).
cnf(refute_0_160,plain,
addition(X_33,one) = addition(one,X_33),
inference(resolve,[$cnf( $equal(addition(one,X_33),addition(X_33,one)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( addition(X_33,one) != addition(one,X_33)
| multiplication(addition(X_33,one),X_34) != addition(X_34,multiplication(X_33,X_34))
| multiplication(addition(one,X_33),X_34) = addition(X_34,multiplication(X_33,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_33,one),X_34),addition(X_34,multiplication(X_33,X_34))) ),[0,0],$fot(addition(one,X_33))]]) ).
cnf(refute_0_162,plain,
( multiplication(addition(X_33,one),X_34) != addition(X_34,multiplication(X_33,X_34))
| multiplication(addition(one,X_33),X_34) = addition(X_34,multiplication(X_33,X_34)) ),
inference(resolve,[$cnf( $equal(addition(X_33,one),addition(one,X_33)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiplication(addition(one,X_33),X_34) = addition(X_34,multiplication(X_33,X_34)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_33,one),X_34),addition(X_34,multiplication(X_33,X_34))) )],[refute_0_157,refute_0_162]) ).
cnf(refute_0_164,plain,
multiplication(addition(one,domain(X0)),X_37) = addition(X_37,multiplication(domain(X0),X_37)),
inference(subst,[],[refute_0_163:[bind(X_33,$fot(domain(X0))),bind(X_34,$fot(X_37))]]) ).
cnf(refute_0_165,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X_37) != addition(X_37,multiplication(domain(X0),X_37))
| multiplication(one,X_37) = addition(X_37,multiplication(domain(X0),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_37),addition(X_37,multiplication(domain(X0),X_37))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_166,plain,
( multiplication(addition(one,domain(X0)),X_37) != addition(X_37,multiplication(domain(X0),X_37))
| multiplication(one,X_37) = addition(X_37,multiplication(domain(X0),X_37)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_39,refute_0_165]) ).
cnf(refute_0_167,plain,
multiplication(one,X_37) = addition(X_37,multiplication(domain(X0),X_37)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_37),addition(X_37,multiplication(domain(X0),X_37))) )],[refute_0_164,refute_0_166]) ).
cnf(refute_0_168,plain,
multiplication(one,X_37) = X_37,
inference(subst,[],[refute_0_16:[bind(A,$fot(X_37))]]) ).
cnf(refute_0_169,plain,
( multiplication(one,X_37) != X_37
| multiplication(one,X_37) != addition(X_37,multiplication(domain(X0),X_37))
| X_37 = addition(X_37,multiplication(domain(X0),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_37),addition(X_37,multiplication(domain(X0),X_37))) ),[0],$fot(X_37)]]) ).
cnf(refute_0_170,plain,
( multiplication(one,X_37) != addition(X_37,multiplication(domain(X0),X_37))
| X_37 = addition(X_37,multiplication(domain(X0),X_37)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_37),X_37) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
X_37 = addition(X_37,multiplication(domain(X0),X_37)),
inference(resolve,[$cnf( $equal(multiplication(one,X_37),addition(X_37,multiplication(domain(X0),X_37))) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
X0 = addition(X0,multiplication(domain(X_143),X0)),
inference(subst,[],[refute_0_171:[bind(X0,$fot(X_143)),bind(X_37,$fot(X0))]]) ).
cnf(refute_0_173,plain,
( X0 != addition(X0,multiplication(domain(X_143),X0))
| addition(X0,multiplication(domain(X_143),X0)) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(addition(X0,multiplication(domain(X_143),X0))))]]) ).
cnf(refute_0_174,plain,
addition(X0,multiplication(domain(X_143),X0)) = X0,
inference(resolve,[$cnf( $equal(X0,addition(X0,multiplication(domain(X_143),X0))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( addition(X0,multiplication(domain(X_143),X0)) != X0
| multiplication(domain(multiplication(domain(X_143),X0)),domain(addition(X0,multiplication(domain(X_143),X0)))) != domain(multiplication(domain(X_143),X0))
| multiplication(domain(multiplication(domain(X_143),X0)),domain(X0)) = domain(multiplication(domain(X_143),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_143),X0)),domain(addition(X0,multiplication(domain(X_143),X0)))),domain(multiplication(domain(X_143),X0))) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_176,plain,
( multiplication(domain(multiplication(domain(X_143),X0)),domain(addition(X0,multiplication(domain(X_143),X0)))) != domain(multiplication(domain(X_143),X0))
| multiplication(domain(multiplication(domain(X_143),X0)),domain(X0)) = domain(multiplication(domain(X_143),X0)) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X_143),X0)),X0) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiplication(domain(multiplication(domain(X_143),X0)),domain(X0)) = domain(multiplication(domain(X_143),X0)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_143),X0)),domain(addition(X0,multiplication(domain(X_143),X0)))),domain(multiplication(domain(X_143),X0))) )],[refute_0_156,refute_0_176]) ).
cnf(refute_0_178,plain,
multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(domain(X_26))) = domain(multiplication(domain(X_379),domain(X_26))),
inference(subst,[],[refute_0_177:[bind(X0,$fot(domain(X_26))),bind(X_143,$fot(X_379))]]) ).
cnf(refute_0_179,plain,
( domain(domain(X_26)) != domain(X_26)
| multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(domain(X_26))) != domain(multiplication(domain(X_379),domain(X_26)))
| multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) = domain(multiplication(domain(X_379),domain(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(domain(X_26))),domain(multiplication(domain(X_379),domain(X_26)))) ),[0,1],$fot(domain(X_26))]]) ).
cnf(refute_0_180,plain,
( multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(domain(X_26))) != domain(multiplication(domain(X_379),domain(X_26)))
| multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) = domain(multiplication(domain(X_379),domain(X_26))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_26)),domain(X_26)) )],[refute_0_102,refute_0_179]) ).
cnf(refute_0_181,plain,
multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) = domain(multiplication(domain(X_379),domain(X_26))),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(domain(X_26))),domain(multiplication(domain(X_379),domain(X_26)))) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
multiplication(domain(multiplication(domain(X_143),X_48)),addition(X_48,multiplication(domain(X_143),X_48))) = addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)),
inference(subst,[],[refute_0_80:[bind(X_49,$fot(multiplication(domain(X_143),X_48)))]]) ).
cnf(refute_0_183,plain,
X_48 = addition(X_48,multiplication(domain(X_143),X_48)),
inference(subst,[],[refute_0_171:[bind(X0,$fot(X_143)),bind(X_37,$fot(X_48))]]) ).
cnf(refute_0_184,plain,
( X_48 != addition(X_48,multiplication(domain(X_143),X_48))
| addition(X_48,multiplication(domain(X_143),X_48)) = X_48 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_48)),bind(Y,$fot(addition(X_48,multiplication(domain(X_143),X_48))))]]) ).
cnf(refute_0_185,plain,
addition(X_48,multiplication(domain(X_143),X_48)) = X_48,
inference(resolve,[$cnf( $equal(X_48,addition(X_48,multiplication(domain(X_143),X_48))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( addition(X_48,multiplication(domain(X_143),X_48)) != X_48
| multiplication(domain(multiplication(domain(X_143),X_48)),addition(X_48,multiplication(domain(X_143),X_48))) != addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))
| multiplication(domain(multiplication(domain(X_143),X_48)),X_48) = addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_143),X_48)),addition(X_48,multiplication(domain(X_143),X_48))),addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))) ),[0,1],$fot(X_48)]]) ).
cnf(refute_0_187,plain,
( multiplication(domain(multiplication(domain(X_143),X_48)),addition(X_48,multiplication(domain(X_143),X_48))) != addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))
| multiplication(domain(multiplication(domain(X_143),X_48)),X_48) = addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) ),
inference(resolve,[$cnf( $equal(addition(X_48,multiplication(domain(X_143),X_48)),X_48) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiplication(domain(multiplication(domain(X_143),X_48)),X_48) = addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_143),X_48)),addition(X_48,multiplication(domain(X_143),X_48))),addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))) )],[refute_0_182,refute_0_187]) ).
cnf(refute_0_189,plain,
domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))) = domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(domain(X_65))),bind(X1,$fot(domain(addition(X_65,X_66))))]]) ).
cnf(refute_0_190,plain,
multiplication(domain(X_48),addition(X_48,X_49)) = addition(multiplication(domain(X_48),X_48),multiplication(domain(X_48),X_49)),
inference(subst,[],[refute_0_11:[bind(A,$fot(domain(X_48))),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_191,plain,
X_48 = multiplication(domain(X_48),X_48),
inference(subst,[],[refute_0_70:[bind(X0,$fot(X_48))]]) ).
cnf(refute_0_192,plain,
( X_48 != multiplication(domain(X_48),X_48)
| multiplication(domain(X_48),X_48) = X_48 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_48)),bind(Y,$fot(multiplication(domain(X_48),X_48)))]]) ).
cnf(refute_0_193,plain,
multiplication(domain(X_48),X_48) = X_48,
inference(resolve,[$cnf( $equal(X_48,multiplication(domain(X_48),X_48)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
( multiplication(domain(X_48),X_48) != X_48
| multiplication(domain(X_48),addition(X_48,X_49)) != addition(multiplication(domain(X_48),X_48),multiplication(domain(X_48),X_49))
| multiplication(domain(X_48),addition(X_48,X_49)) = addition(X_48,multiplication(domain(X_48),X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_48),addition(X_48,X_49)),addition(multiplication(domain(X_48),X_48),multiplication(domain(X_48),X_49))) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_195,plain,
( multiplication(domain(X_48),addition(X_48,X_49)) != addition(multiplication(domain(X_48),X_48),multiplication(domain(X_48),X_49))
| multiplication(domain(X_48),addition(X_48,X_49)) = addition(X_48,multiplication(domain(X_48),X_49)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_48),X_48),X_48) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
multiplication(domain(X_48),addition(X_48,X_49)) = addition(X_48,multiplication(domain(X_48),X_49)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_48),addition(X_48,X_49)),addition(multiplication(domain(X_48),X_48),multiplication(domain(X_48),X_49))) )],[refute_0_190,refute_0_195]) ).
cnf(refute_0_197,plain,
multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(subst,[],[refute_0_196:[bind(X_48,$fot(domain(X0))),bind(X_49,$fot(domain(X1)))]]) ).
cnf(refute_0_198,plain,
( addition(domain(X0),domain(X1)) != domain(addition(X0,X1))
| multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[0,1],$fot(domain(addition(X0,X1)))]]) ).
cnf(refute_0_199,plain,
( multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X1)),domain(addition(X0,X1))) )],[refute_0_84,refute_0_198]) ).
cnf(refute_0_200,plain,
multiplication(domain(domain(X0)),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),addition(domain(X0),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_197,refute_0_199]) ).
cnf(refute_0_201,plain,
domain(domain(X0)) = domain(X0),
inference(subst,[],[refute_0_102:[bind(X_26,$fot(X0))]]) ).
cnf(refute_0_202,plain,
multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(domain(X0)),domain(addition(X0,X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X0)),domain(addition(X0,X1))))]]) ).
cnf(refute_0_203,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) != multiplication(domain(domain(X0)),domain(addition(X0,X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(X0),domain(addition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),multiplication(domain(domain(X0)),domain(addition(X0,X1)))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_204,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(X0),domain(addition(X0,X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),multiplication(domain(domain(X0)),domain(addition(X0,X1)))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiplication(domain(domain(X0)),domain(addition(X0,X1))) = multiplication(domain(X0),domain(addition(X0,X1))),
inference(resolve,[$cnf( $equal(domain(domain(X0)),domain(X0)) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiplication(domain(domain(X0)),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(addition(X0,X1))) != multiplication(domain(X0),domain(addition(X0,X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[0],$fot(multiplication(domain(X0),domain(addition(X0,X1))))]]) ).
cnf(refute_0_207,plain,
( multiplication(domain(domain(X0)),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),multiplication(domain(X0),domain(addition(X0,X1)))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiplication(domain(X0),one) = domain(X0),
inference(subst,[],[refute_0_110:[bind(A,$fot(domain(X0)))]]) ).
cnf(refute_0_209,plain,
addition(one,domain(X1)) = one,
inference(subst,[],[refute_0_39:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_210,plain,
multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),addition(one,domain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(X0),addition(one,domain(X1))))]]) ).
cnf(refute_0_211,plain,
( addition(one,domain(X1)) != one
| multiplication(domain(X0),addition(one,domain(X1))) != multiplication(domain(X0),addition(one,domain(X1)))
| multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),multiplication(domain(X0),addition(one,domain(X1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_212,plain,
( addition(one,domain(X1)) != one
| multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),multiplication(domain(X0),addition(one,domain(X1)))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiplication(domain(X0),addition(one,domain(X1))) = multiplication(domain(X0),one),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
( multiplication(domain(X0),addition(one,domain(X1))) != multiplication(domain(X0),one)
| multiplication(domain(X0),one) != domain(X0)
| multiplication(domain(X0),addition(one,domain(X1))) = domain(X0) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(multiplication(domain(X0),addition(one,domain(X1))))),bind(Y,$fot(multiplication(domain(X0),one))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_215,plain,
( multiplication(domain(X0),one) != domain(X0)
| multiplication(domain(X0),addition(one,domain(X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),multiplication(domain(X0),one)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
multiplication(domain(X0),addition(one,domain(X1))) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),one),domain(X0)) )],[refute_0_208,refute_0_215]) ).
cnf(refute_0_217,plain,
addition(domain(X0),multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),addition(one,domain(X1))),
inference(subst,[],[refute_0_136:[bind(X_50,$fot(domain(X0))),bind(X_51,$fot(domain(X1)))]]) ).
cnf(refute_0_218,plain,
( addition(domain(X0),multiplication(domain(X0),domain(X1))) != multiplication(domain(X0),addition(one,domain(X1)))
| multiplication(domain(X0),addition(one,domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(addition(domain(X0),multiplication(domain(X0),domain(X1))))),bind(Y,$fot(multiplication(domain(X0),addition(one,domain(X1))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_219,plain,
( multiplication(domain(X0),addition(one,domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(X0),domain(X1))),multiplication(domain(X0),addition(one,domain(X1)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,domain(X1))),domain(X0)) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(domain(X0)),domain(X1)),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X0)),domain(X1)))]]) ).
cnf(refute_0_222,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(X1)) != multiplication(domain(domain(X0)),domain(X1))
| multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(X0),domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X0)),domain(X1)),multiplication(domain(domain(X0)),domain(X1))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_223,plain,
( domain(domain(X0)) != domain(X0)
| multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(X0),domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(X1)),multiplication(domain(domain(X0)),domain(X1))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiplication(domain(domain(X0)),domain(X1)) = multiplication(domain(X0),domain(X1)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),domain(X0)) )],[refute_0_201,refute_0_223]) ).
cnf(refute_0_225,plain,
addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
introduced(tautology,[refl,[$fot(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))))]]) ).
cnf(refute_0_226,plain,
( addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(domain(X0)),domain(X1)) != multiplication(domain(X0),domain(X1))
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(X0),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[1,1],$fot(multiplication(domain(X0),domain(X1)))]]) ).
cnf(refute_0_227,plain,
( multiplication(domain(domain(X0)),domain(X1)) != multiplication(domain(X0),domain(X1))
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(X0),domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(X1)),multiplication(domain(X0),domain(X1))) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( addition(domain(X0),multiplication(domain(X0),domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) != addition(domain(X0),multiplication(domain(X0),domain(X1)))
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = domain(X0) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))))),bind(Y,$fot(addition(domain(X0),multiplication(domain(X0),domain(X1))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_230,plain,
( addition(domain(X0),multiplication(domain(X0),domain(X1))) != domain(X0)
| addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),addition(domain(X0),multiplication(domain(X0),domain(X1)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = domain(X0),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(X0),domain(X1))),domain(X0)) )],[refute_0_220,refute_0_230]) ).
cnf(refute_0_232,plain,
( addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) != domain(X0)
| multiplication(domain(X0),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) ),[1],$fot(domain(X0))]]) ).
cnf(refute_0_233,plain,
( multiplication(domain(X0),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),domain(X0)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
( multiplication(domain(domain(X0)),domain(addition(X0,X1))) != addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))
| multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_207,refute_0_233]) ).
cnf(refute_0_235,plain,
multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X0)),domain(addition(X0,X1))),addition(domain(X0),multiplication(domain(domain(X0)),domain(X1)))) )],[refute_0_200,refute_0_234]) ).
cnf(refute_0_236,plain,
multiplication(domain(X_65),domain(addition(X_65,X_66))) = domain(X_65),
inference(subst,[],[refute_0_235:[bind(X0,$fot(X_65)),bind(X1,$fot(X_66))]]) ).
cnf(refute_0_237,plain,
( domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))) != domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))
| multiplication(domain(X_65),domain(addition(X_65,X_66))) != domain(X_65)
| domain(domain(X_65)) = domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))),domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))) ),[0,0],$fot(domain(X_65))]]) ).
cnf(refute_0_238,plain,
( domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))) != domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))
| domain(domain(X_65)) = domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_65),domain(addition(X_65,X_66))),domain(X_65)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
domain(domain(X_65)) = domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))),domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))) )],[refute_0_189,refute_0_238]) ).
cnf(refute_0_240,plain,
domain(domain(X_65)) = domain(X_65),
inference(subst,[],[refute_0_102:[bind(X_26,$fot(X_65))]]) ).
cnf(refute_0_241,plain,
( domain(domain(X_65)) != domain(X_65)
| domain(domain(X_65)) != domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))
| domain(X_65) = domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_65)),domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))) ),[0],$fot(domain(X_65))]]) ).
cnf(refute_0_242,plain,
( domain(domain(X_65)) != domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))
| domain(X_65) = domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_65)),domain(X_65)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiplication(domain(X_65),addition(X_65,X_66)) = addition(X_65,multiplication(domain(X_65),X_66)),
inference(subst,[],[refute_0_196:[bind(X_48,$fot(X_65)),bind(X_49,$fot(X_66))]]) ).
cnf(refute_0_244,plain,
domain(multiplication(domain(X_65),addition(X_65,X_66))) = domain(multiplication(domain(X_65),addition(X_65,X_66))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(X_65),addition(X_65,X_66))))]]) ).
cnf(refute_0_245,plain,
( domain(multiplication(domain(X_65),addition(X_65,X_66))) != domain(multiplication(domain(X_65),addition(X_65,X_66)))
| multiplication(domain(X_65),addition(X_65,X_66)) != addition(X_65,multiplication(domain(X_65),X_66))
| domain(multiplication(domain(X_65),addition(X_65,X_66))) = domain(addition(X_65,multiplication(domain(X_65),X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X_65),addition(X_65,X_66))),domain(multiplication(domain(X_65),addition(X_65,X_66)))) ),[1,0],$fot(addition(X_65,multiplication(domain(X_65),X_66)))]]) ).
cnf(refute_0_246,plain,
( multiplication(domain(X_65),addition(X_65,X_66)) != addition(X_65,multiplication(domain(X_65),X_66))
| domain(multiplication(domain(X_65),addition(X_65,X_66))) = domain(addition(X_65,multiplication(domain(X_65),X_66))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_65),addition(X_65,X_66))),domain(multiplication(domain(X_65),addition(X_65,X_66)))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
domain(multiplication(domain(X_65),addition(X_65,X_66))) = domain(addition(X_65,multiplication(domain(X_65),X_66))),
inference(resolve,[$cnf( $equal(multiplication(domain(X_65),addition(X_65,X_66)),addition(X_65,multiplication(domain(X_65),X_66))) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))) = domain(multiplication(domain(X_65),addition(X_65,X_66))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(domain(X_65))),bind(X1,$fot(addition(X_65,X_66)))]]) ).
cnf(refute_0_249,plain,
domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) = domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(domain(X_65))),bind(X1,$fot(domain(addition(X_65,X_66))))]]) ).
cnf(refute_0_250,plain,
( domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))) != domain(multiplication(domain(X_65),addition(X_65,X_66)))
| domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) != domain(multiplication(domain(X_65),domain(addition(X_65,X_66))))
| domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) = domain(multiplication(domain(X_65),addition(X_65,X_66))) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))))),bind(Y,$fot(domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))))),bind(Z,$fot(domain(multiplication(domain(X_65),addition(X_65,X_66)))))]]) ).
cnf(refute_0_251,plain,
( domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))) != domain(multiplication(domain(X_65),addition(X_65,X_66)))
| domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) = domain(multiplication(domain(X_65),addition(X_65,X_66))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))),domain(multiplication(domain(X_65),domain(addition(X_65,X_66))))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) = domain(multiplication(domain(X_65),addition(X_65,X_66))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_65),domain(addition(X_65,X_66)))),domain(multiplication(domain(X_65),addition(X_65,X_66)))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( domain(multiplication(domain(X_65),addition(X_65,X_66))) != domain(addition(X_65,multiplication(domain(X_65),X_66)))
| domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) != domain(multiplication(domain(X_65),addition(X_65,X_66)))
| domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) = domain(addition(X_65,multiplication(domain(X_65),X_66))) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))))),bind(Y,$fot(domain(multiplication(domain(X_65),addition(X_65,X_66))))),bind(Z,$fot(domain(addition(X_65,multiplication(domain(X_65),X_66)))))]]) ).
cnf(refute_0_254,plain,
( domain(multiplication(domain(X_65),addition(X_65,X_66))) != domain(addition(X_65,multiplication(domain(X_65),X_66)))
| domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) = domain(addition(X_65,multiplication(domain(X_65),X_66))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))),domain(multiplication(domain(X_65),addition(X_65,X_66)))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) = domain(addition(X_65,multiplication(domain(X_65),X_66))),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_65),addition(X_65,X_66))),domain(addition(X_65,multiplication(domain(X_65),X_66)))) )],[refute_0_247,refute_0_254]) ).
cnf(refute_0_256,plain,
( domain(X_65) != domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))
| domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))) != domain(addition(X_65,multiplication(domain(X_65),X_66)))
| domain(X_65) = domain(addition(X_65,multiplication(domain(X_65),X_66))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(X_65),domain(addition(X_65,multiplication(domain(X_65),X_66)))) ),[0],$fot(domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))))]]) ).
cnf(refute_0_257,plain,
( domain(X_65) != domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))
| domain(X_65) = domain(addition(X_65,multiplication(domain(X_65),X_66))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66))))),domain(addition(X_65,multiplication(domain(X_65),X_66)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
( domain(domain(X_65)) != domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))
| domain(X_65) = domain(addition(X_65,multiplication(domain(X_65),X_66))) ),
inference(resolve,[$cnf( $equal(domain(X_65),domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))) )],[refute_0_242,refute_0_257]) ).
cnf(refute_0_259,plain,
domain(X_65) = domain(addition(X_65,multiplication(domain(X_65),X_66))),
inference(resolve,[$cnf( $equal(domain(domain(X_65)),domain(multiplication(domain(X_65),domain(domain(addition(X_65,X_66)))))) )],[refute_0_239,refute_0_258]) ).
cnf(refute_0_260,plain,
( domain(X_65) != domain(addition(X_65,multiplication(domain(X_65),X_66)))
| domain(addition(X_65,multiplication(domain(X_65),X_66))) = domain(X_65) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(X_65))),bind(Y,$fot(domain(addition(X_65,multiplication(domain(X_65),X_66)))))]]) ).
cnf(refute_0_261,plain,
domain(addition(X_65,multiplication(domain(X_65),X_66))) = domain(X_65),
inference(resolve,[$cnf( $equal(domain(X_65),domain(addition(X_65,multiplication(domain(X_65),X_66)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
domain(addition(X_143,multiplication(domain(X_143),X_48))) = domain(X_143),
inference(subst,[],[refute_0_261:[bind(X_65,$fot(X_143)),bind(X_66,$fot(X_48))]]) ).
cnf(refute_0_263,plain,
addition(domain(X_143),domain(multiplication(domain(X_143),X_48))) = domain(addition(X_143,multiplication(domain(X_143),X_48))),
inference(subst,[],[refute_0_84:[bind(X0,$fot(X_143)),bind(X1,$fot(multiplication(domain(X_143),X_48)))]]) ).
cnf(refute_0_264,plain,
( addition(domain(X_143),domain(multiplication(domain(X_143),X_48))) != domain(addition(X_143,multiplication(domain(X_143),X_48)))
| domain(addition(X_143,multiplication(domain(X_143),X_48))) != domain(X_143)
| addition(domain(X_143),domain(multiplication(domain(X_143),X_48))) = domain(X_143) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))))),bind(Y,$fot(domain(addition(X_143,multiplication(domain(X_143),X_48))))),bind(Z,$fot(domain(X_143)))]]) ).
cnf(refute_0_265,plain,
( domain(addition(X_143,multiplication(domain(X_143),X_48))) != domain(X_143)
| addition(domain(X_143),domain(multiplication(domain(X_143),X_48))) = domain(X_143) ),
inference(resolve,[$cnf( $equal(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),domain(addition(X_143,multiplication(domain(X_143),X_48)))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
addition(domain(X_143),domain(multiplication(domain(X_143),X_48))) = domain(X_143),
inference(resolve,[$cnf( $equal(domain(addition(X_143,multiplication(domain(X_143),X_48))),domain(X_143)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48) = multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48),
introduced(tautology,[refl,[$fot(multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48))]]) ).
cnf(refute_0_268,plain,
( addition(domain(X_143),domain(multiplication(domain(X_143),X_48))) != domain(X_143)
| multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48) != multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48)
| multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48) = multiplication(domain(X_143),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48),multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48)) ),[1,0],$fot(domain(X_143))]]) ).
cnf(refute_0_269,plain,
( addition(domain(X_143),domain(multiplication(domain(X_143),X_48))) != domain(X_143)
| multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48) = multiplication(domain(X_143),X_48) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48),multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48) = multiplication(domain(X_143),X_48),
inference(resolve,[$cnf( $equal(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),domain(X_143)) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) = multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48),
inference(subst,[],[refute_0_57:[bind(A,$fot(domain(X_143))),bind(B,$fot(domain(multiplication(domain(X_143),X_48)))),bind(C,$fot(X_48))]]) ).
cnf(refute_0_272,plain,
( addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) != multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48)
| multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48) != multiplication(domain(X_143),X_48)
| addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) = multiplication(domain(X_143),X_48) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)))),bind(Y,$fot(multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48))),bind(Z,$fot(multiplication(domain(X_143),X_48)))]]) ).
cnf(refute_0_273,plain,
( multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48) != multiplication(domain(X_143),X_48)
| addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) = multiplication(domain(X_143),X_48) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)),multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) = multiplication(domain(X_143),X_48),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_143),domain(multiplication(domain(X_143),X_48))),X_48),multiplication(domain(X_143),X_48)) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)) != multiplication(domain(X_143),X_48)
| multiplication(domain(multiplication(domain(X_143),X_48)),X_48) != addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))
| multiplication(domain(multiplication(domain(X_143),X_48)),X_48) = multiplication(domain(X_143),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_143),X_48)),X_48),addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))) ),[1],$fot(multiplication(domain(X_143),X_48))]]) ).
cnf(refute_0_276,plain,
( multiplication(domain(multiplication(domain(X_143),X_48)),X_48) != addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))
| multiplication(domain(multiplication(domain(X_143),X_48)),X_48) = multiplication(domain(X_143),X_48) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48)),multiplication(domain(X_143),X_48)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiplication(domain(multiplication(domain(X_143),X_48)),X_48) = multiplication(domain(X_143),X_48),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_143),X_48)),X_48),addition(multiplication(domain(X_143),X_48),multiplication(domain(multiplication(domain(X_143),X_48)),X_48))) )],[refute_0_188,refute_0_276]) ).
cnf(refute_0_278,plain,
multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) = multiplication(domain(X_379),domain(X_26)),
inference(subst,[],[refute_0_277:[bind(X_143,$fot(X_379)),bind(X_48,$fot(domain(X_26)))]]) ).
cnf(refute_0_279,plain,
( multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) != domain(multiplication(domain(X_379),domain(X_26)))
| multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) != multiplication(domain(X_379),domain(X_26))
| multiplication(domain(X_379),domain(X_26)) = domain(multiplication(domain(X_379),domain(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)),domain(multiplication(domain(X_379),domain(X_26)))) ),[0],$fot(multiplication(domain(X_379),domain(X_26)))]]) ).
cnf(refute_0_280,plain,
( multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) != domain(multiplication(domain(X_379),domain(X_26)))
| multiplication(domain(X_379),domain(X_26)) = domain(multiplication(domain(X_379),domain(X_26))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)),multiplication(domain(X_379),domain(X_26))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
domain(multiplication(domain(X_379),domain(X_26))) = domain(multiplication(domain(X_379),X_26)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(domain(X_379))),bind(X1,$fot(X_26))]]) ).
cnf(refute_0_282,plain,
( domain(multiplication(domain(X_379),domain(X_26))) != domain(multiplication(domain(X_379),X_26))
| multiplication(domain(X_379),domain(X_26)) != domain(multiplication(domain(X_379),domain(X_26)))
| multiplication(domain(X_379),domain(X_26)) = domain(multiplication(domain(X_379),X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_379),domain(X_26)),domain(multiplication(domain(X_379),domain(X_26)))) ),[1],$fot(domain(multiplication(domain(X_379),X_26)))]]) ).
cnf(refute_0_283,plain,
( multiplication(domain(X_379),domain(X_26)) != domain(multiplication(domain(X_379),domain(X_26)))
| multiplication(domain(X_379),domain(X_26)) = domain(multiplication(domain(X_379),X_26)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_379),domain(X_26))),domain(multiplication(domain(X_379),X_26))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)) != domain(multiplication(domain(X_379),domain(X_26)))
| multiplication(domain(X_379),domain(X_26)) = domain(multiplication(domain(X_379),X_26)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_379),domain(X_26)),domain(multiplication(domain(X_379),domain(X_26)))) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
multiplication(domain(X_379),domain(X_26)) = domain(multiplication(domain(X_379),X_26)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_379),domain(X_26))),domain(X_26)),domain(multiplication(domain(X_379),domain(X_26)))) )],[refute_0_181,refute_0_284]) ).
cnf(refute_0_286,plain,
multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_285:[bind(X_26,$fot(skolemFOFtoCNF_X1)),bind(X_379,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_287,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) ),[1],$fot(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_288,plain,
( domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) )],[refute_0_288,refute_0_10]) ).
cnf(refute_0_290,plain,
domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_291,plain,
$false,
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) )],[refute_0_290,refute_0_289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE068+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 11:46:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.53/6.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.53/6.72
% 6.53/6.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.53/6.75
%------------------------------------------------------------------------------